{"text":"Question: Solve -3*d - 5*k = -33, 5*d + 3*k - 46 + 7 = 0 for d.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 6 + (-1062)\/1298*11\/(-3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(r) be the third derivative of 0*r**4 - 1\/210*r**5 + 1\/21*r**3 + 0*r - 4*r**2 + 0. Factor m(y).\nAnswer: -2*(y - 1)*(y + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(d) = d**2 - 60*d + 191. Calculate the lowest common multiple of 352 and b(3).\nAnswer: 1760","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(m) be the first derivative of m**3\/3 - 5*m**2\/2 - 5*m + 1. Give y(5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -5*r**2 - 57500*r - 4908020.\nAnswer: -5*(r + 86)*(r + 11414)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {c: 9, g: 11}. Give prob of picking 3 g.\nAnswer: 11\/76","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(11) + -3)**2*1 + 4 - -1*(sqrt(88)*2)\/sqrt(8).\nAnswer: -4*sqrt(11) + 24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence aa when two letters picked without replacement from {b: 4, a: 2, r: 1, i: 3}?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 2\/5, 0, 2\/119, 0.216, -3\/2?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify x**11*x**(-9\/4)*(x**11\/x)\/(x\/(x**(-3\/8)*x)) assuming x is positive.\nAnswer: x**(147\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.2 in 0.4, -0.13, -3, -23, 342\/7, 14?\nAnswer: -0.13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*g = -2*g + 10. What is the smallest value in 9, g, -0.4?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -388882 (base 9) to base 2.\nAnswer: -111001101010011101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u(o) = 89 - 69*o + 568*o + 171 + 92*o - 11. List the prime factors of u(3).\nAnswer: 2, 3, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 99\/110*((-21)\/9)\/7.\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -6347 less than -793786382?\nAnswer: -793780035","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is -69 - 7 - (277 - 303)?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -93*j = -5*c - 89*j + 38561, 24 = 4*j. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:00 AM and 3:36 AM?\nAnswer: 156","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:45 AM and 10:31 AM?\nAnswer: 526","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let t(y) = 4*y**3 + 15*y**2 - 8*y + 59. What is the hundreds digit of t(10)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 116 + -164. Let t = 48 + s. Suppose b - 158 = -t*b - 5*k, 2*b = 5*k + 391. What are the prime factors of b?\nAnswer: 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (p - p - 2*p)*(-6*p**2 + p**2 + 4*p**2) + (-4*p**2 - 5*p + 5*p)*(7*p - 2*p - 2*p) - p**3 - 3*p + 3*p + (-5 - p + 5)*(2*p**2 - p**2 - 3*p**2).\nAnswer: -9*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: 14 - (26 + (26 - 45)) - (-4 + -53 + -5)\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 250 is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 a and 1 f when four letters picked without replacement from afaaaaaaaaaaaaaaaaaa?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let o(k) = -2*k**2 + 2122*k - 8462. Calculate o(4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -68.41 - -29.3. Let w = -0.89 + i. Let a = 40.000146 + w. Round a to 5 dps.\nAnswer: 0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 11 and 237288?\nAnswer: 2610168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*k - 1 = -3*m - 3, -2*k - 4*m = -16. Suppose -k = -h + 3. Calculate the least common multiple of 7 and h.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(j) = -4*j. Let y(z) = -21*z**2 - 2*z - 2. Let x(u) = u**2 + u + 1. Let v(l) = -2*x(l) - y(l). What is a(v(w))?\nAnswer: -76*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 9057.\nAnswer: 3, 3019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 121723 is divided by 30430?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is -141 divided by -38?\nAnswer: 141\/38","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 r and 1 e when two letters picked without replacement from {w: 1, x: 2, b: 1, r: 1, i: 1, e: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-60)\/75*(27\/(1512\/760))\/(4\/(-14)).\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g(a) = 10*a + 7*a - 26*a + 1 + 7*a. Let l(b) be the third derivative of -b**4\/4 + b**3\/3 + 5*b**2. Suppose 2*y - 4 = 2. Determine y*l(i) - 8*g(i).\nAnswer: -2*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 2495779 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 49051419 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 value of ((-72)\/(-21))\/(21\/(2352\/(-32)))?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 7 a factor of 335300?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 258 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 1*-111*1*1000\/(-3500)*(-21)\/18?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is -501992300 less than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -639 + 786. Is k a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(i) = i**2 + i + 63. Let l be c(0). Let j = 37 - l. Let d = j + 39. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -73 - -1. Let d = c - -43. Let o = d + 40. Does 11 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(w) = -42*w**2 + 1774*w + 141. Calculate t(42).\nAnswer: 561","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 15*i - 19*i - 20 = 0. Let r be (-6468)\/60 + 1\/i. Let q = 229 + r. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 14*l**3 - 36*l**3 + 18*l**3.\nAnswer: -4*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*p**4 - 516157*p**3 + 8946027*p**2 - 35611083*p - 27869670 = 0. What is p?\nAnswer: -2\/3, 9, 172035","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve -101 = 29*u + 15 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*g = -5*q - 17, -4*q = -2*g - 2 - 0 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let o(v) = v**3 - 6*v**2 + 3*v + 10. Let r be o(5). Suppose -2*z + 28 = 3*z - 2*d, r = z - 4*d - 2. Let s(f) = f - 6. Determine s(z).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 44446703 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is -2010134 (base 5) in base 7?\nAnswer: -162026","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -r**3*z**2 - 3*r**3 + 21*r**2*z + r*z + 122*z**4 wrt z.\nAnswer: -2*r**3 + 1464*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*h + 7*y - 5 = -0, 36384*h - 36388*h + 24 = 5*y for h.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose k + 5 = 2*k. What is the remainder when k is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 190723507 to the nearest integer?\nAnswer: 13810","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 3 divided by 74994?\nAnswer: 1\/24998","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let p(h) be the third derivative of -h**8\/10080 + h**7\/210 - 9*h**5\/10 + 2*h**2 - 45*h. Let u(t) be the third derivative of p(t). Factor u(x).\nAnswer: -2*x*(x - 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2594 a factor of 437344141?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Put -2, -1, 4\/71 in descending order.\nAnswer: 4\/71, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -34\/15 and 82\/70755.\nAnswer: 70755","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((2*sqrt(539))**2 - (sqrt(11) + sqrt(88)\/(sqrt(8) + sqrt(24)\/sqrt(3)))) + (-1 + sqrt(11) + 0)*-1)*-6.\nAnswer: -12942 + 15*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, -1, 38, 4, -8, 41, -4 in decreasing order.\nAnswer: 41, 38, 4, 2, -1, -4, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 15*o**2 - 14*o**2 + 7*o**3 + 3*o**3.\nAnswer: 10*o**3 + o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-28)\/6*(-9)\/6?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(c) = -1029*c + 9268. Give i(9).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 175 and 134486485?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 352538?\nAnswer: 2, 359, 491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let v(w) = -26*w - 88. Let z be v(-4). Let g = 17 - -111. Calculate the greatest common divisor of g and z.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.7, -2\/19, 1\/12, -0.23 in descending order.\nAnswer: 0.7, 1\/12, -2\/19, -0.23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 927567079 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -4 + (14 + 0 - 2350\/(61 - 111)).\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(f) be the first derivative of -f**5\/30 - 3*f**4\/2 + f**2 + 23*f - 172. Let k(j) be the second derivative of v(j). Factor k(c).\nAnswer: -2*c*(c + 18)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: -25.738 - 0.07\nAnswer: -25.808","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -107\/7434 and -121\/7080?\nAnswer: 148680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 55\/2482 and -149\/612.\nAnswer: 44676","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let d(f) be the third derivative of f**6\/120 - 2*f**5\/15 + f**4\/24 - 4*f**3\/3 - 15*f**2. Determine d(8).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*i**3 + 7342*i**2 + 43998*i + 65970 = 0. Calculate i.\nAnswer: -3665, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2671993?\nAnswer: 317, 8429","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 93775.\nAnswer: 5, 11, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:22 AM and 1:34 AM?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -13*g + 1042851 - 6086851. Round g to the nearest one hundred thousand.\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -12 + 17. Which is the second smallest value?  (a) -0.5  (b) x  (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 2 + 14 + -40 + -10 + 12.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -189*n + 93 = -158*n for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let t(f) = 2*f + 3. Suppose -20 = 7*g - 2*g. Let n be g\/12 - (-34)\/(-6). Calculate t(n).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let 5*l**2 + 121985*l + 88103700 = 0. What is l?\nAnswer: -23652, -745","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 20564 - 17577. Calculate the remainder when u is divided by 176.\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 1.4 + 1.6. Sort h, 0.5, 1 in descending order.\nAnswer: h, 1, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -p**2 + 59*p + 2552 = 0. What is p?\nAnswer: -29, 88","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Find v, given that -4*v**4 - 474924*v**3 - 14091112032*v**2 + 352563287824*v - 338471700864 = 0.\nAnswer: -59378, 1, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Sort -19, -7, 0.3, 2\/13.\nAnswer: -19, -7, 2\/13, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1?  (a) 1\/10  (b) 17  (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -6451.8 + 14854660.\nAnswer: 14848208.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 8\/90*(-25)\/(-10).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3183.\nAnswer: 3, 1061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.000003359 to 7 dps.\nAnswer: -0.0000034","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Convert -46322 (base 13) to base 14.\nAnswer: -348c1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -s**5 - 4*s**4 - 744*s**2 - 4619*s + 1 wrt s.\nAnswer: -20*s**3 - 48*s**2 - 1488","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 1897106 a multiple of 158?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 871, 883, 907, 949, 1015, 1111, 1243?\n\"Answer: n**3 + 5*n + 865","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m(t) = t**3 - 4*t**2 - 3*t - 5. Let c be m(5). What is the remainder when 32 is divided by (1 + 0)\/(c\/85)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5 + -2*(sqrt(7)*2 + -1).\nAnswer: -4*sqrt(7) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 444 minutes before 4:54 PM?\nAnswer: 9:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 20840 is divided by 1157?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 507 minutes before 9:03 PM?\nAnswer: 12:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 1582350643 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1111101010 (base 2) to base 16.\nAnswer: 3ea","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d(s) = 80*s + 1918. Let c be d(-24). Suppose -4*x = -2*x. Sort c, x, 2 in decreasing order.\nAnswer: 2, x, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 16\/(-24) + (-10)\/(-12). Sort b, 0, -1 in decreasing order.\nAnswer: b, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -9?  (a) -0.1  (b) -7\/8  (c) 0.3  (d) -48  (e) 9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*x + 459 = -1648. What is the hundreds digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -49 + 52. Let s be (-1)\/h - (0 - (-32)\/(-6)). Solve -4*g - s = -3*g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -4?  (a) -225  (b) 3\/7  (c) 2  (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 473569?\nAnswer: 17, 89, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 71*t**5 + 28*t + 4?\nAnswer: 1420*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*h = -2*h + 1326. Let v = h - -1568. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 114 - 106. Suppose -s*t + 6*t = -8. Put t, 2, -2, -5 in increasing order.\nAnswer: -5, -2, 2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(l) be the first derivative of -l**4\/12 + 31*l**3\/3 + 9*l**2 + 2. Let c(x) be the second derivative of d(x). Does 19 divide c(-7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (12\/(-2592))\/(14*(-3)\/13079316). Let v = x - 10085\/7. Find the common denominator of v and 93\/44.\nAnswer: 1188","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 3 - (1 - (-33)\/18). Let z be 15\/(-22) + 2\/4. Which is the nearest to -0.1?  (a) z  (b) g  (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 87 - 6. Suppose -3*z + 2*q + 159 = 60, 0 = 3*z + 4*q - t. What is the units digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.2?  (a) -1  (b) 2\/9  (c) -0.4  (d) 16  (e) -53\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Convert -d46a75 (base 15) to base 14.\nAnswer: -14ab933","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*g + 3*m - 2 = m, g + 2 = 2*m. Solve 4*c - c = g for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -r + 50 = 5*l + 15, -r - l + 23 = 0. Calculate the least common multiple of 804\/20 - (0 + 4\/r) and 44.\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.8*14899.13.\nAnswer: 11919.304","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0000076008967 to 7 dps.\nAnswer: 0.0000076","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1510402?\nAnswer: 2, 179, 4219","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 88550?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {c: 5, e: 4, x: 8}. Give prob of picking 2 c and 2 e.\nAnswer: 3\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*o - 4 = 4*o, 3*q = 4*o - 20. Let f(m) = -m**3 - 8*m**2 + m + 4. What is f(q)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*n + 6 = -3*u, 5*u - 3 = -4*n - 12. Is n less than -61?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 72 and 64?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*f + 6 = f. Let m be (350\/(-21) - -14)\/(2\/102). Let h = -130 - m. Is h greater than f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4613990 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let p(t) = -t**2 + 4*t + 7. What is the smallest common multiple of 5 and p(4)?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4488*o + 7774 = -3890*o for o.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 494031 or -118?\nAnswer: 494031","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Does 1644 divide 4526046677?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let l(q) = q + 1. Let o(c) = 27*c - 24. Let w(p) = -4*l(p) - o(p). Is w(-9) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is b2 + -1c?\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -76, -230, -520, -1006, -1748, -2806, -4240, -6110?\nAnswer: -8476","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 92 a factor of 520990458?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -4 in 1, 0.1, 175?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let y(x) be the third derivative of x**5\/15 + x**4\/12 + 2*x**3\/3 + x**2 - 2. Let t(g) = -g**2 - 1. Let k = -2 - -1. What is k*y(l) - 3*t(l)?\nAnswer: -l**2 - 2*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (21\/(-12))\/((-133)\/28 - -5). Let k = -12 + 7. Are s and k equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3*(2 + 3*sqrt(48) - (sqrt(48) + 1 + sqrt(48) + 0))*5)**2.\nAnswer: 1800*sqrt(3) + 11025","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0000009632936 rounded to 7 dps?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 45 - 35. Let i be (5\/n + -3)*-2. What is the second derivative of h**5 + h + i*h**5 - 5*h wrt h?\nAnswer: 120*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -407041 + -115?\nAnswer: -407156","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (3 - (-2578)\/(-835))*-7. Let q = -2\/167 + z. What is the nearest to q in -1\/8, -5, -0.4?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 48 and 365100.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: 140255 (base 7) to base 4\nAnswer: 12132311","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*j**2 - 36344*j + 82555396.\nAnswer: 4*(j - 4543)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*s + 8*h - 5*h = 3117, 5*h - 25 = 0. What are the prime factors of s?\nAnswer: 3, 11, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -58110 + 299440829\/5153. Let g = 91629\/1391342 + -214479052396\/17923963315. Let a = g - j. Find the common denominator of -87\/2 and a.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 134167 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let t(m) = 2*m - 10. Let v(f) be the first derivative of -f**2\/2 + 5*f - 2. Let u(n) = 4*t(n) + 10*v(n). Let r be u(7). Put 4, 0, r in ascending order.\nAnswer: r, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 17060896199 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Express (4*x**2 + 8*x**2 + 19*x - 9*x**2)*(0*x + x + x)*(2 - 2 - 2) as w*x + u*x**2 + s*x**3 + q and give u.\nAnswer: -76","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1\/3 in -3\/2, 0.3, 8?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let o(d) be the third derivative of 0*d - 1\/60*d**5 - 3\/8*d**4 + 0 - 2*d**2 + 1\/6*d**3. List the prime factors of o(-8).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 23190 and 2785119.\nAnswer: 2319","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 0.5 + -0.5. Let h = 0 - u. Which is the nearest to h?  (a) 1\/7  (b) 0.4  (c) -1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 4*-1*((-8)\/(-2))\/(-136).\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -76421, -152951, -229481, -306011, -382541?\n\"Answer: -76530*f + 109","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Determine i, given that -3*i**3 + 63931*i**2 - 2382613*i + 787101 = 0.\nAnswer: 1\/3, 37, 21273","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 9628967 is divided by 1865.\nAnswer: 1837","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is -14132 (base 5) in base 8?\nAnswer: -2217","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -s, -3 = -c + 2*s - 5. Is -1 less than or equal to c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(d) = d**3 - 3*d**2 - 11*d + 3103. Is t(0) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose g = -5*y - 6, -5*y + 2 + 16 = -3*g. Let v be (6\/16*4)\/g. Do 8\/7 and v have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 6\/25 of a millimeter in micrometers?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*l - 31 = 3*c + c, 5*l - c = -90. Let r = 52 - l. List the prime factors of r.\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 32\/26775 and -32\/13796775.\nAnswer: 96577425","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 977997 to the nearest integer?\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0*c + 2 = -2*c + p, 5 = -5*c - 3*p for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1.5 in 0, 13, 0.2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let m(s) = s - 1. Let c be m(6). Suppose j + 5*i - 29 = 457, 2430 = 5*j - c*i. Suppose -4*w - 198 = -2*g, 0 = 5*g - 4*w + 3*w - j. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 0*z**2 + 0*z**2 + 3*z**5 + (-4 + 6 - 18)*(3*z**5 - z**5 - 8*z**5) + (z - 2*z + 0*z)*(3*z**4 - 2*z**4 + z**4).\nAnswer: 97*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 535239 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -2*j*t**3 + 3*j - 919*t**4 - 7*t**2 - 2*t wrt t?\nAnswer: -12*j - 22056*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 191 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in one quarter of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*u**3 - 10180*u**2 + 40660*u - 40640.\nAnswer: 5*(u - 2032)*(u - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*q - 4*t - 9 - 5, -2*t + 8 = 5*q. Suppose -2*y - q*n - 2 = -y, -5*n - 5 = -5*y. Which is smaller: -1\/8 or y?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 3486*d**2 - 6973*d**2 + 2*d - 127*d**3 + 3473*d**2 + 0*d to the form l*d + p*d**2 + v*d**3 + n and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -795, -1127, -1675, -2433, -3395, -4555, -5907, -7445?\nAnswer: -9163","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -9 - -10. Let g be 4 + -4 + d - -102. Let v = g + -99. Solve 0 = -4*i + 2*w - 3*w - 5, -v*w - 20 = -4*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 14 + -13.6. Let s be 3\/(72\/(-21)) - -1. Let a = 17\/7 + -18\/7. What is the second smallest value in x, s, a?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(b) = -2*b**2 - b**2 + 3 - 3*b - 1 + 4*b**2. Let m be o(4). Find the common denominator of 61\/2 and 2 + (-189)\/m + -2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 1\/78 + -85\/546. Let v = 109.3 + -113.3. Sort l, 5, v.\nAnswer: v, l, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1 = -2*b + 5*c + 30, 0 = -4*b + 5*c + 73. Let p = b - 21. Let w(t) = -4*t**2 + t - 1. What is w(p)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:02 AM and 3:43 PM?\nAnswer: 581","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let g(u) be the third derivative of u**4\/24 + u**3 + 2*u**2. Let j be g(5). Solve -3*w = -4*y - 16, 3*w = 3*y + 4 + j for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*p = p + 10. Solve 0 = -2*d - 5*k + 10, 4*k - p = d - 2 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 0.02993 + 20.70007. Let p = w - -0.27. Let f = 20.9 - p. Which is smaller: f or -5\/2?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4*(4 + (sqrt(252)*-2*2 + sqrt(567)*-3 + 4)**2 + 5).\nAnswer: -1632*sqrt(7) + 72928","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-6 - -16) + (5 - 16))*(-2)\/(-4).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.416, 1\/5, -6, 2\/7, -0.4, 0.3 in descending order.\nAnswer: 0.416, 0.3, 2\/7, 1\/5, -0.4, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -32*k**3 + 130*k**3 - 34*k**3 - 32*k**3 - 33*k**3 - 11 + 79.\nAnswer: -k**3 + 68","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*p + 124 - 44. What is the units digit of p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*v - u - 4*u = 4, 5*u = 0. Let p be (1 - (-35)\/(-25)) + 3\/5. Which is bigger: v or p?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in 25\/4 of a century?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -14 - -5?\nAnswer: -e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let -f**2 + 31543*f + 63090 = 0. Calculate f.\nAnswer: -2, 31545","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((4*(sqrt(44) - 3*sqrt(44))*4*1)\/(sqrt(4) - 6*sqrt(24)\/sqrt(6) - (sqrt(4) - 5*2*sqrt(4))))**2.\nAnswer: 704","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {l: 2, h: 3, p: 4, r: 1, j: 1}. Give prob of sequence jph.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let l(h) = -80*h - 4. Let j(g) = 81*g + 5. Give -5*j(b) - 6*l(b).\nAnswer: 75*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let h(u) = 134*u + 10. What is the tens digit of h(1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence nnp when three letters picked without replacement from {p: 12, n: 3}.\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 2\/6 + (-6)\/18. Let u = -98 - -100. Solve -3*c + g = 8, 0 = -q*g - u*g - 8 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 48*t + 4 = 244. Solve -2*r - t*g = 20, -4*r + 3*g = -7 - 5 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 11\/33*6 - (-147)\/(-70)\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -16 - 65c?\nAnswer: -673","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 289 and 85?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 263*r**2 + 171*r - 94678 wrt r?\nAnswer: 526*r + 171","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 6216\/1050 + 4\/50. Solve -4*l - 7 = r, 3*r + u = r for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1226 = -7*t - 1637. Let m = t + 426. Solve -g + m = -5*w, -5*g = -5*w - 2*g - 11 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -85457*h*o**2 + 19*h*p**3 - 1598*h*p**2 + 2*h*p - 3*h - 26*o*p**3 + p**3 wrt o?\nAnswer: -170914*h*o - 26*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:06 AM and 4:09 PM?\nAnswer: 543","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 4215388924 to the power of 1\/7, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*o - 21 + 53. Let f = 6 + -6. Let y be (-6 + f + 1)*-1. Solve -y*r - 12 = o for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -829.9 - -848.9. Let a = -34.953 + -0.047. Let c = t + a. Which is smaller: -2 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1531 divided by 36.\nAnswer: -1531\/36","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Round -25982.32 to the nearest 100.\nAnswer: -26000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve -424*g + 518*g - 440*g - 24566 = 0 for g.\nAnswer: -71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 3*a**2*f*x**3 + 3*a**2*f + 122*a**2*x**3 - a*f*x**2 - 4*x**3 - 120*x**2 wrt x.\nAnswer: 18*a**2*f + 732*a**2 - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 595 and 18016685?\nAnswer: 126116795","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let x(w) = w**2 - 2*w - 5. Let v be x(-7). Suppose -3*z - z + 58 = -2*y, -2*z - 2*y = -32. Let g = v - z. Is 22 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(g) = 2*g**2 - 24*g - 273. Let a be t(-8). Suppose 4*i - 4 + 0 = 0. Let b be i\/2*(-1 + 1). Put b, -4, a in descending order.\nAnswer: a, b, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(f) = -3*f + 6. Let u be k(2). Let y = -2\/55 + 179\/385. Let u + 1\/7*t**2 - y*t = 0. Calculate t.\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose t = -t. Let u = 2.922 + -2.222. Which is the nearest to t?  (a) -4  (b) u  (c) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 376 minutes before 1:12 AM?\nAnswer: 6:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 94961 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Round 2375.4 to the nearest ten.\nAnswer: 2380","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Does -592 = -593?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((z*z**(-12\/11)*z*z)\/z**(1\/28))\/(z\/(z**5\/z*z)*z**24\/z) assuming z is positive.\nAnswer: z**(-5275\/308)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*i**3\/5 - 46052*i**2\/5 - 134033184*i\/5 - 1703737152.\nAnswer: -4*(i + 65)*(i + 5724)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"}
{"text":"Question: Let o(w) = 535*w + 40. What is the hundreds digit of o(2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be ((35115\/(-6))\/5)\/((-3870)\/(-5)). Let w = 58\/43 - k. What is the common denominator of 5\/54 and w?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-6*c + c - 7*c)*(-5 + 3 + 0)*(2 + 0 - 4).\nAnswer: -48*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5 + (6*-4*(sqrt(120)\/sqrt(3))\/sqrt(8))**2.\nAnswer: 2875","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is (-25 - (-437)\/19)*(-40)\/2*(-20)\/(-1040)?\nAnswer: 10\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(g) = -4*g**2 - g + 2. Determine o(-2).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let a(g) = -41488*g - 3153092. Determine a(-76).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: How many millimeters are there in 551.3192um?\nAnswer: 0.5513192","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 - 1 + 4)*(1405*j + 1320*j - 2522*j).\nAnswer: 203*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-t + 12 - 12)*(-1 - 2*t + 1).\nAnswer: 2*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 16 - 18. Let c = 2 - 2. Put c, -5, k in decreasing order.\nAnswer: c, k, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2*(sqrt(175) + 1)*3)**2 - (3 + 1*sqrt(175) + 2).\nAnswer: 355*sqrt(7) + 6331","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -72 - -3312415?\nAnswer: 3312323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 3976, 7957, 11938?\nAnswer: 15919","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 98, 95, 94, 95?\n\"Answer: d**2 - 6*d + 103","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 300 minutes after 2:59 PM?\nAnswer: 7:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 1424, 3261, 5104, 6947, 8784?\nAnswer: 10609","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2\/5 in 0.5, -4, 68, 1\/7?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-61 - (15 + -16 + -2)) + 19.\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -210 - -285. Let z be (-30)\/i - (14\/(-10) - 1). Solve -4*c = z*n + 30, c - n = -0*n for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 1\/6 + (-750)\/(-36). Suppose -5*r + 33 = 3*k - d, 0 = -3*r. Find the second derivative of 25*y - k*y**3 - 2*y + 11*y wrt y.\nAnswer: -108*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -o - 3*b = -4, -2*o + 37*b - 2 = 38*b for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 31897 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Express 43*c - 2*c**4 - 45*c - 6 + 4*c**4 + c**3 + (-6*c**2 + c**3 + 6*c**2)*(0*c + 3*c + 0*c) in the form w*c**4 + l*c**2 + p*c**3 + i*c + b and give w.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.03030154 to 4 decimal places.\nAnswer: -0.0303","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in -5, 0, 802, -2\/7, -1, 0.3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from hogjhtxthgggg. Give prob of picking 1 g and 1 h.\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is seventeen halves of a litre in millilitres?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o(d) = -90*d**2 - 3*d - 6. Let j(y) = y**2 + 2*y + 2. What is -2*j(k) - o(k)?\nAnswer: 88*k**2 - k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((x*x**(4\/9)*x*(x\/x**(-7\/3))\/x*x)\/(x**(-2\/23)*x*x**(-6)))**(-47) assuming x is positive.\nAnswer: x**(-105703\/207)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.2, -232, 175033 in increasing order.\nAnswer: -232, -0.2, 175033","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from qqlaacaqxancxxqacx. What is prob of picking 1 c, 2 q, and 1 x?\nAnswer: 2\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*l = 12, 5*i - 2*l - 3 = -1. Let y be (-3)\/18 + (-1)\/i. Let f = -25 + 25.2. Are f and y nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(q) = -q**3 - 8*q**2 - 3*q + 16. Let j be (-3630)\/510 + 22\/187. What is z(j)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -279 + 441. What is the hundreds digit of w - (4\/1 - 9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 532474560 rounded to the nearest 1000000?\nAnswer: 532000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((k**(1\/4)\/k**2)\/(k\/(k\/(k*k\/k**4)*k)*k*k**(-2\/9)))\/((k\/(k**(-7\/5)*k)*k*k**(-7\/6))\/(k**(-1\/6)\/k*k*k\/k**(-6\/5)*k*k*k)) assuming k is positive.\nAnswer: k**(769\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -50, -54, -60, -68, -78, -90?\nAnswer: -104","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Total of -0.02 and -1.164144.\nAnswer: -1.184144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (l**2)**49\/((l\/(l*l*l*(l\/l**(2\/9)*l*l)\/l*l*l))\/l**(1\/15))*((l**(-3\/10)*l)\/(l*l**2))**33 assuming l is positive.\nAnswer: l**(503\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*r + 6 - 26 = 0, -2*l - r = 9 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let m(s) = -8*s + 6*s + s + 10 + 2*s. What are the prime factors of m(-5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*j + 3*j - 2*j + (-3 + 3 + 2)*(-4*j - 3*j + 5*j))*(202*j - 585 + 585).\nAnswer: -1010*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 t, 1 g, and 1 a when three letters picked without replacement from {t: 1, e: 3, l: 6, g: 1, a: 1, j: 4}?\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 16 - 16. Suppose z + t*c - 3 = c, 3*c = z - 1. Calculate the lowest common multiple of 1 and z.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -4.99 and -0.75828?\nAnswer: 4.23172","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) 1\/3  (b) -146  (c) 0.5  (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let t be -1 - (4\/(-10))\/((-2)\/(-320)). Factor -206 + 131 + 5*s**2 - 7*s - t*s.\nAnswer: 5*(s - 15)*(s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -154 + 157. What is the second derivative of 91*l - 11*l**3 + 5*l**2 + 34*l**x - 25*l - 7*l**2 wrt l?\nAnswer: 138*l - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (l**(-1\/7)*(l**4\/l)\/l)**(3\/10) assuming l is positive.\nAnswer: l**(39\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let o(b) = 11*b**2 - 1. Let p = 16 - -1. Let y(r) = -4*r**2. Let a(u) = p*y(u) + 6*o(u). Find the first derivative of a(d) wrt d.\nAnswer: -4*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(k) = -3*k - 7. Let v be d(-4). Suppose 53 = -x - 5*b, 0 = -x + v*x + 2*b + 122. What are the prime factors of x\/(-21)*(89 + 1)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 973 = b - 8*b. Let u = b - -226. What are the prime factors of u?\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Total of -1.27351 and 4.\nAnswer: 2.72649","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*t - 10 = -2*z, -2*t + 5*z + 34 = 11. Solve g**2 + 3*g**2 + 7*g**5 + 2*g - 4*g**t - 6*g**5 - 3*g**5 = 0 for g.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 53951?\nAnswer: 53951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let y(x) be the first derivative of -1\/4*x**4 + 0*x**3 + 0*x**2 + 4\/15*x**5 + 0*x - 58 - 1\/18*x**6. Factor y(c).\nAnswer: -c**3*(c - 3)*(c - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 4 + 7\/((-14)\/(-30)). Suppose 3*n + 4 = 3*l + x, -2*n + 3*l + 13 = 0. Factor -8\/7*f + 8\/7 + 2\/7*f**n.\nAnswer: 2*(f - 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from odaqdoaooacoqooqoqqx. What is prob of picking 1 o and 1 x?\nAnswer: 4\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in -3, -2\/13, 596, -5?\nAnswer: 596","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Express (-1 + 7 - 5)*(6 + w**2 - 6) + (-5*w + 5*w - w)*(10 - 10 - 16*w) in the form d*w**2 + n + x*w and give d.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1*(-2 + sqrt(153)*1 + sqrt(153)) + 2.\nAnswer: 6*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 215 and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Convert 300330312230 (base 4) to base 3.\nAnswer: 220010221102122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u(m) = -4*m**2 + m**2 + 6 + m**3 - 2 - 4*m + 2. Give u(4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 1230 + -13528\/11. Factor 0 + 2\/11*d**2 - b*d + 2\/11*d**3 - 2\/11*d**4.\nAnswer: -2*d*(d - 1)**2*(d + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 39 minutes before 9:24 AM?\nAnswer: 8:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(45)\/(sqrt(9) - sqrt(81)*-3) - (sqrt(320) + 0)*5.\nAnswer: -399*sqrt(5)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let n(y) = -18*y**2 + 38*y - 3. What is n(2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -7418384 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"}
{"text":"Question: Express (-286 - 108*q**3 + 141 + 144)*(4 + 1 - 3) in the form c*q**3 + a*q + m*q**2 + l and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 79969 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: What is 416 minutes after 9:35 PM?\nAnswer: 4:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Express -34*s + 6*s + s in the form u*s + f and give u.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let w(d) = d**3 - 22*d**2 + 25*d - 73. Let y be w(21). Solve -y*n + 20*n - 27 = 0 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 3081 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Work out 3761688 + 543.579.\nAnswer: 3762231.579","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 1327156 and 272.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*z - 4 = -3*z. Let c = -1 - z. Solve 3*d - 5*d + 4*l = 18, -5*l + 25 = c for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4 - 3 + 1 + (1 - 1 + 3)*(-4 + 3 + 3))*((0 - 2 + 0)*(2*r**2 + r**2 - 4*r**2) + r + r**2 - r - r**2 - 3*r**2 + 2*r**2 + r**2 - r**2 - 2*r**2).\nAnswer: -8*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 328 minutes before 4:43 PM?\nAnswer: 11:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let z be ((-2)\/(-4) - 1)\/((-2)\/(-156)). Let a = z + 39. Suppose -4 = i - 3*b, -6 = 2*i - 5*b - a. Solve i*o - 3*o = 3 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -19*j = -21*j - 6 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -0.26 + 100.26. Let v = 100.83 - p. What is the smallest value in v, 3\/7, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 1 - 1. Suppose -b - 5*u + 47 = 0, p = -b + u + 2*u + 15. Calculate the remainder when 105 is divided by b.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 163488*l + 2871 = 163575*l for l.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2 + -4 + -5 + (sqrt(1331) + 3 + (0 + sqrt(1331) - sqrt(1331)))**2 + -6*3*(sqrt(1331) - -2*sqrt(1331)).\nAnswer: -528*sqrt(11) + 1333","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -17 - -16. Let a = 8 - l. Calculate the least common multiple of a and 1.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 332 minutes before 10:01 PM?\nAnswer: 4:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Put -4, -3, 1, -582, 0 in decreasing order.\nAnswer: 1, 0, -3, -4, -582","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let v(j) = 6*j**3 + 5*j**2 - 5*j + 9. Let f be v(11). Round f to the nearest one hundred.\nAnswer: 8500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -35*d - 919 + 884 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-54*o**2 + 450 - 450)*(6*o - 42 + 42)*(-o - o + 4*o).\nAnswer: -648*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: 0 divided by 305\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: -1576+6\nAnswer: -1570","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from helqb. What is prob of picking 1 b and 1 h?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/8 of a litre in millilitres?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 53 + -47. Let z be ((-10)\/i)\/(1\/(-3)). Solve -z + 2 = -3*v for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is (-511598100)\/(-819) + 14\/147 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -104 + m + 164 - 96 + 36.\nAnswer: m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*p + 28 = -0*p. Let m(t) = t**3 - 8*t**2 + 5*t + 9. Let o be m(p). Sort 5, o, 1 in descending order.\nAnswer: 5, 1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 11637 + -5740. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 16*b = -0*b + 32 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(204) - (sqrt(204) - (sqrt(204)*-2*-4 + sqrt(204) + sqrt(204))))\/((sqrt(24)*-1)\/sqrt(2)).\nAnswer: -10*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let p(m) = -3*m**3 + m**2 + 2*m - 13. Let c(u) = 16*u**3 - 5*u**2 - 11*u + 64. Let a(b) = -2*c(b) - 11*p(b). Give a(0).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 9114197 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let b(n) = n**2 - 11*n + 15. Let v be b(10). Suppose 37 = v*s - 193. What is s rounded to the nearest 10?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2666*w**3 + 2667*w**3 - 13336*w**3 + 2670*w**3 + 2665*w**3 + 2665*w**3.\nAnswer: -3*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-57)\/((-67716)\/38040) - 32.\nAnswer: 2\/99","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 11 + -24. Let k = 21 + q. Let f(s) = -s**3 + 6*s**2 + 5*s - 15. Calculate the remainder when f(6) is divided by k.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 40\/120*6\/4*2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Express i + 305 - 678 + 301 in the form v + r*i and give v.\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 2960 + -2961.841. Round s to 2 decimal places.\nAnswer: -1.84","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 4343399 to the nearest integer?\nAnswer: 163","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.1940216 years in decades?\nAnswer: 0.01940216","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -285257 + -32?\nAnswer: -285300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2*(sqrt(121) + sqrt(121) + (sqrt(121) + 2*sqrt(121) - sqrt(121))) - -1*sqrt(121)*4)\/((-1*sqrt(99))\/sqrt(9) - 5*(sqrt(11) - sqrt(99)))*2.\nAnswer: 8*sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 3468 and 40732.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 7554 and 36.\nAnswer: 45324","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 9096683.35349 + -17.35349. Let s = p - 9096671.39999906. Let l = s - -5.4. What is l rounded to 7 dps?\nAnswer: 0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:34 PM and 11:58 PM?\nAnswer: 264","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let v(p) be the second derivative of 0*p**4 + 0*p**2 - 1\/3*p**3 + 2*p + 1\/10*p**5 + 0. Let v(w) = 0. Calculate w.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*p + a - 6*a + 42 = 0, -36 = 4*p - 2*a. Let t = p - -4. Calculate the remainder when (72\/20)\/(t\/(-30)) is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(k) = -k - 7. Let g be f(-8). Let h(d) = 2*d**3 - 4*d**2 - d + 8. Let c(y) = -2*y**3 + 5*y**2 + 2*y - 12. Let l(w) = -2*c(w) - 3*h(w). What is l(g)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -12\/7, -13612\/5, 1\/6, -16 in decreasing order.\nAnswer: 1\/6, -12\/7, -16, -13612\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is -28.785 rounded to the nearest integer?\nAnswer: -29","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: 32 + 0 + -12 - (11 - 3)\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -264193, -264248, -264339, -264460, -264605?\n\"Answer: b**3 - 24*b**2 + 10*b - 264180","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d be ((-27)\/(-20))\/3 - (-1)\/(-5). Factor 1\/4*q**2 - 1\/4*q**3 - d + 1\/4*q.\nAnswer: -(q - 1)**2*(q + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -289 plus 45?\nAnswer: -244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -463 - -1397\/3. Suppose 4\/3*q**2 + p*q + 0 = 0. What is q?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 270605 is divided by 1012?\nAnswer: 401","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 v and 3 r when four letters picked without replacement from pvprgrphppaprra?\nAnswer: 4\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Round 35240 to the nearest one hundred thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let n(w) be the second derivative of 89*w**8\/56 + 53*w**4\/3 - 63*w - 1. Find the third derivative of n(y) wrt y.\nAnswer: 10680*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 288 and 416656.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Put -1\/4, 6, -2, -6\/11, 494 in increasing order.\nAnswer: -2, -6\/11, -1\/4, 6, 494","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 1629 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: What is the value of 7*(-30)\/50 + (-2)\/(-10)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(p) = -p**3 + 23*p**2 + 22*p - 501. Let t be x(23). Put t, -0.5, -11, -0.3, -4\/5 in descending order.\nAnswer: t, -0.3, -0.5, -4\/5, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 0.3 + -0.2. Let o = -0.8635 - 0.1365. Sort -0.06, b, o in descending order.\nAnswer: b, -0.06, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2241888.\nAnswer: 2, 3, 11, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -10767\/22 - -983\/2. Calculate the common denominator of -61\/16 and b.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((2*sqrt(171) - sqrt(171)) + -5 + -1*sqrt(19))**2.\nAnswer: -20*sqrt(19) + 101","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -253554 - -13?\nAnswer: -253541","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -43\/923664 and -75\/615776?\nAnswer: 1847328","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-3)\/(-25)*(104\/(-6))\/26?\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 63621 + 0?\nAnswer: 63621","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 1223 a factor of 359177?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Work out 68 * 3.8193.\nAnswer: 259.7124","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 549294146*n**3*x**3 - 15*n**3*x**2 + 8*n**3 - 3*n**2*x**2 - 2*n*x**2 - 76*x**2 - 16 wrt x?\nAnswer: 3295764876*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*r = -3*a + 5, 1 = -5*a - 2*r + 4. Put 5, -6\/13, a in increasing order.\nAnswer: -6\/13, a, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(g) = -5*g - 2. Let l(y) = 18*y - 19*y - 1 + 1. Let c = -8 + 11. Let b(i) = i**2 - 3*i - 1. Let t be b(c). Give t*v(o) + 6*l(o).\nAnswer: -o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 12915199?\nAnswer: 11, 53, 22153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 5?  (a) -1.3  (b) 2173\/2  (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 56137 - 121031359\/2156. Find the common denominator of 79\/22 and l.\nAnswer: 2156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1954?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 295460353 to the nearest integer?\nAnswer: 666","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 24 - ((-3 - -2) + 147 + -144)?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u(c) = -c**2. Suppose 4*i = -4*n, n - 2*i - 1 = 2*n. Let o(l) = -1 + 0 + n - 5*l. Calculate o(u(q)).\nAnswer: 5*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify o**(-2\/7)*o\/o**(2\/47) assuming o is positive.\nAnswer: o**(221\/329)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -3713 and -1562.7.\nAnswer: 5802305.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 70, 253, 558, 985, 1534, 2205, 2998?\nAnswer: 3913","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Express 5042*g + 3530*g + 2283*g + 201174 - 201174 in the form s + x*g and give x.\nAnswer: 10855","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {a: 1, k: 1, e: 2}. What is prob of picking 1 a and 2 e?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 354631 and 395.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Put 132, 1142, 55 in increasing order.\nAnswer: 55, 132, 1142","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 1859 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let r(j) = -6*j**2 + 2*j + 4. Let v be r(3). Let o = -67 - v. Let q = -20 - o. Solve l = -2*g + 7, -g + l = -2*g + q for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is (-29)\/((-87)\/18) - -166403 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -14*k - 7*k + 8*k.\nAnswer: -13*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let y(f) = 4*f**3 - f**2 + 2*f + 1. Let s(n) = 7*n**3 - 6*n**2 + 7*n + 5. Give -s(c) + 4*y(c).\nAnswer: 9*c**3 + 2*c**2 + c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 13\/7, 0.298, 3, -1\/9, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: 0.0166*-40919\nAnswer: -679.2554","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is -2\/7 at least -138\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -34 + 37. Solve 3*h + q*u + 3 = -u, 2*h - u + 13 = 0 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(x) be the third derivative of 73*x**6\/20 - x**4\/12 + x**3\/6 - 6*x**2. Let j be i(1). Let y = j + 324. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -11*h = -7*h - 4. Solve -h = -2*n + n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-123 + -9)\/(3\/2). Let g = -63 - i. What is the tens digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {f: 2, e: 1}. Give prob of picking 1 e and 1 f.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: (4 + 0 - 13) + 15\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -980*w + 3260*w + 920*w + 2435*w + 95795 for w.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -47728226, -47728224, -47728222?\n\"Answer: 2*o - 47728228","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (c*c**(-1\/3))**(-4\/13) assuming c is positive.\nAnswer: c**(-8\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Does 5 divide 17214?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*w = -3*j + 23, -4*w - 17 = -163*j + 158*j for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let x(k) = -8*k**3 - 2*k**2 - 7*k - 4. What is the hundreds digit of x(-3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 6293910 and 1720?\nAnswer: 430","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 2\/7, 2, -0.4, 0.4, -3?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.000001770142 rounded to seven dps?\nAnswer: 0.0000018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*b + 9 = -27. Let p(d) = b*d + d + 2*d**2 - 3*d**2. Let m be p(6). What is the highest common factor of 6 and m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 424.8687ml in litres?\nAnswer: 0.4248687","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0001758241 rounded to 6 decimal places?\nAnswer: 0.000176","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Determine x, given that -2*x**4\/9 + 482*x**3\/9 - 152*x**2\/3 - 640*x = 0.\nAnswer: -3, 0, 4, 240","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 37?  (a) 3  (b) 1\/33  (c) 7\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 73659, 147409, 221159, 294909?\n\"Answer: 73750*b - 91","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose r - 6 = -r. Suppose -r*q = q - 16. Suppose -45 = -5*f + 189*l - 193*l, -5*l + 45 = -5*f. Calculate the greatest common factor of q and f.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(u) = 67*u**2 - 215*u - 5. What is s(3)?\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*i + 2308 = 6*l, 5*i = -7*l + 10*l + 2822. What is the greatest common factor of 1207 and i?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 c when two letters picked without replacement from cllccllclllcl?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 160 and 240.\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is -12 divided by -12?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-50 + 3289\/66)*(-24)\/27.\nAnswer: 4\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 18527?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.2 times 459?\nAnswer: 91.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 10251.\nAnswer: 3, 17, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(480)*-5 + -1*1*sqrt(30))\/(-6*4*sqrt(30)\/sqrt(3)).\nAnswer: 7*sqrt(3)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*v - v + 2*g + 5, -5 = 2*v + g. Let f be 1\/(-15) + (-2)\/v. Factor f*o**4 - 2\/3*o**3 + 4\/3*o + 4\/3 - o**2.\nAnswer: (o - 2)**2*(o + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 0.1  (b) 3  (c) 98\/31  (d) 16\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 8768479 to the power of 1\/2, to the nearest integer?\nAnswer: 2961","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 2927.9573612 - 3078.95741. Let n = b - -151. What is n rounded to five decimal places?\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 1678650481?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -23 + 13. Let k be (-2)\/g + 2\/(-10). Is 2 + 70 - (2 + k) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange d + d**2 - 6*d**4 + 10*d**4 - 3*d**4 - 7*d**3 to u*d**3 + o*d**4 + x*d + i*d**2 + h and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve 140*u = 1733 - 3281 - 4472 for u.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 1\/4  (b) 1  (c) -1430  (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: 0.059 * -177.69\nAnswer: -10.48371","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let j(c) = -107*c - 1282. Calculate j(-6).\nAnswer: -640","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is -1894a1 (base 13) in base 16?\nAnswer: -97749","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (3\/12)\/(((-181)\/284)\/181).\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -14 = 4*i - 6. Let g(t) = 6*t**3 + 5*t**2 - 3*t - 2. Let v(b) = 7*b**3 + 5*b**2 - 4*b - 2. Let y(r) = 6*g(r) - 5*v(r). List the prime factors of y(i).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-6*d + 3*d + d)*(2 - 4 + 0) - 27 + 27 - 30*d + 2 - 2*d - 2.\nAnswer: -28*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 14548395, -3, -2?\nAnswer: 14548395","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -5266.412102132 - -5266.6351. Let s = 0.223 - y. What is s rounded to 7 dps?\nAnswer: 0.0000021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -590564240 by -3890.\nAnswer: 151816","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-1 - (-69)\/21) + -2. Let o = 0.6 + -0.8. What is the second biggest value in o, -4, s?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -1020122122 (base 3) to base 5\nAnswer: -1241113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 22 a factor of 9816?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-12)\/21)\/(6\/(-42))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of t**2 - 19601305*t + 33907538 wrt t?\nAnswer: 2*t - 19601305","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 65922, 65413, 64904, 64395, 63886?\n\"Answer: -509*m + 66431","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-136)\/(-6))\/(-2 - (-520)\/195).\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -12004*v**6 - 6*v**2 + 11.\nAnswer: -1440480*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 8\/7627009 or -1?\nAnswer: 8\/7627009","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let g(f) = f**3 + f**2 + f. Let b(h) = -2*h**3 + 6*h**2 + 6*h - 2. Let u(i) = i**3 - 2*i**2 - 2*i + 1. Let p(t) = 4*b(t) + 11*u(t). What is -2*g(k) + p(k)?\nAnswer: k**3 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let v(x) = -3*x + 13. Let s(r) = 13*r - 53. Let q(m) = 2*s(m) + 9*v(m). Let o be q(6). Suppose 0 = -o*j + 33 + 22. What is the units digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.07 in 0.4, 10600, 8\/5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(450)\/(sqrt(81)*5))**2 + (sqrt(12)\/(sqrt(12)\/(3*sqrt(2))) + 1)**2.\nAnswer: 6*sqrt(2) + 173\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 30 - 28.3. Is -1 > u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (s*s*s\/(s\/(s\/(s\/s**(7\/3)*s))*s)*s*s**(-6\/7)\/s*s)\/(s\/(s\/(s**(1\/2)\/s)*s))**(3\/31) assuming s is positive.\nAnswer: s**(3413\/1302)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0 (base 14) to base 6.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 7*g - 1185 + 93. Calculate the remainder when 5927 is divided by g.\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be -2 + 4 + -6 + 6. Suppose -h + 4*x = -142, 248 = 2*h + 2*x + o*x. Round h to the nearest one hundred.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 45 and 81.\nAnswer: 405","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -20 + 130110?\nAnswer: 130030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 952 - -607. What are the prime factors of u?\nAnswer: 1559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 3*u**3 + 2*u**2*v + 26*u**2 + 334*v wrt u.\nAnswer: 9*u**2 + 4*u*v + 52*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 774785233 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Sort -10, -2, 0.1, 0, -0.02 in descending order.\nAnswer: 0.1, 0, -0.02, -2, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let t(m) be the second derivative of -2*m**6\/15 - 177*m**5\/10 - 121*m**4\/6 - 7*m**3\/3 + 6755*m. What is the third derivative of t(y) wrt y?\nAnswer: -96*y - 2124","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -152*g - 1921 + 1627 = -3790 for g.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let n(l) = -5*l. Let r be n(-1). Suppose -3*w + 0*k + 3*k = -69, 65 = r*w + 5*k. Is w a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -5*k - 3*s - 26, 8*k = 5*k - 4*s - 20 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*j + 110 = 2*n, 5*j - 222 = 4*n + 35. What is the highest common divisor of j and 265?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 189463 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1\/3?  (a) 0.2  (b) -7  (c) 2\/3  (d) -3\/2  (e) -25\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is (-7 - -7) + (2 + 3 - -1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s(p) = -207319*p - 1243932. Give s(-6).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Determine y, given that 16*y**5 + 10464*y**4 + 1801151*y**3 + 29123058*y**2 - 112572*y - 1820232 = 0.\nAnswer: -318, -18, -1\/4, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 53*m**3 - m**3 + 45*m**3 + 42*m**3 + 41*m**3 + 50*m**3 - 261*m**3.\nAnswer: -31*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-29)\/((-696)\/18)*240\/(-65).\nAnswer: -36\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:35 AM and 1:03 PM?\nAnswer: 508","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (0 - 14)*(-57)\/6. Suppose -79*k = -78*k - z. What is the tens digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1322 divided by -3\nAnswer: -1322\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -9 + 15?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let v(k) = -1. Let g(z) = -z**2. Suppose -2*y - 9 = -b, 5*b = 2*b - 5*y - 17. Give b*g(u) + 4*v(u).\nAnswer: -u**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-3 - (-10 - -3))*-1. Let b be v\/10 + 1742\/5. Suppose 3*m = -m + b. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -168.416 + 0.416. Let d = i - -169.11. Let k = d + -1.110053. What is k rounded to four decimal places?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*s + 5*d - 59, s + d - 24 + 9 = 0. Calculate the remainder when 3 + -3 + (-92)\/(-2) is divided by s.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -1 - -1010100101111010011?\nAnswer: 1010100101111010010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 5706 + -2717. What are the prime factors of m?\nAnswer: 7, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(s) = 40*s - 726. Calculate z(15).\nAnswer: -126","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 7985297\/189427854 - 622\/17149. What is the common denominator of 13\/3 and c?\nAnswer: 11046","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(b) be the second derivative of 881*b**3\/6 - 70*b. Is x(7) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(y) = y - 8. Let v be g(10). Suppose 0*c - v*c + 36 = 5*t, 0 = 4*t - 3*c - 38. Calculate the lowest common multiple of 26 and t.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -121 divided by 11?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -18806\/8295 - -43\/237. Calculate the common denominator of -49\/9 and s.\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 402 minutes after 3:18 PM?\nAnswer: 10:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1*sqrt(91)\/(sqrt(1792) + sqrt(7)).\nAnswer: -sqrt(13)\/17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 8113 is divided by 344.\nAnswer: 201","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*m**3 + 0*m**3 + 0*m**3)*((2*m - 3*m - m)*(3 - 3 + 1) + (2*m + 3*m - 7*m)*(1 + 1 - 1) - 5*m + 4*m + 0*m).\nAnswer: 15*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 0.1 + 0.9. Suppose 0*k + 2*k + 4 = 0. Put n, k, -0.5 in increasing order.\nAnswer: k, -0.5, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(z) = -4*z - 16. Calculate r(-4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let i(f) be the first derivative of -6*f**2 - 100*f - 2. Let d be i(-19). Which is smaller: 127 or d?\nAnswer: 127","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 m and 1 r when two letters picked without replacement from {z: 10, m: 6, r: 1}.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1456 is divided by 715.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*r - 5*z - 22 = -6*r, r = 3*z + 13. Which is the nearest to 2\/9?  (a) r  (b) 40  (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 61 - 37. Let u = o - -34. Let i = 97 - u. Calculate the remainder when i is divided by 21.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -8, -64, -158, -290, -460?\nAnswer: -668","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 64052475.\nAnswer: 3, 5, 854033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: -2 + -1 + (0 - 2)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 1338404649 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -24*g + 14823 = 37*g. Does 81 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 225 + -39. What is the hundreds digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 27\/4 of a day in hours?\nAnswer: 162","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 18?  (a) -2\/3  (b) -1\/8  (c) 0.482  (d) -1\/5  (e) 12\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is -23097 rounded to the nearest one hundred?\nAnswer: -23100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -2783778*l**2 - 2271524 wrt l?\nAnswer: -5567556*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 992 is divided by 13.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence mt when two letters picked without replacement from {m: 5, t: 15}.\nAnswer: 15\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -14 = -3*c + 8*m - 4*m, 15 = -5*c - m. Let s be 145\/3 - c\/(-6). Let w be s\/21 + (-6)\/21. Solve w*z + 7 + 3 = 0 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 268 and 2278.\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (5*d - 2*d - 4*d)*(23 - 44 - 2*d**3 + 20) to b*d + w + s*d**2 + i*d**4 + y*d**3 and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 5232 to the power of 1\/3, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let j(x) be the third derivative of x**6\/60 - x**5\/30 + 8*x**2. Factor j(w).\nAnswer: 2*w**2*(w - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:08 AM and 12:45 PM?\nAnswer: 517","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -2939, -5594, -8275, -10994, -13763, -16594?\nAnswer: -19499","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*o + 38 = 10*o. Is o a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 123 is divided by 18?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (a**(1\/13)*a**(2\/15)*(a**(2\/15)*a)\/(a*a*a*a**3))**(1\/21) assuming a is positive.\nAnswer: a**(-908\/4095)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -6789785.5519221 - 0.4480779. Let a = 6789785.3099961 + j. Let l = -0.69 - a. Round l to six dps.\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-5 + sqrt(448) + 1 + -3)*1)**2 + 2 + (-3 + sqrt(35)\/sqrt(125))**2 + -2.\nAnswer: -566*sqrt(7)\/5 + 12657\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -13 + 14. Let v(x) = x**3 - x**2 - x - 5. Let g(h) = -12*h**3 + 48*h**2 + 45*h + 75. Let u(q) = k*g(q) + 15*v(q). What is t in u(t) = 0?\nAnswer: -10, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -34469 - -66437. What is the units digit of a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(m) = -13*m - 9. Suppose -i - 7 + 0 = 0. Let r(d) = -7*d - 5. What is i*r(a) + 4*y(a)?\nAnswer: -3*a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is -61060000 rounded to the nearest 1000000?\nAnswer: -61000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:37 AM and 11:04 AM?\nAnswer: 327","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 75 and 1966950.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let s(i) = -i**2 + 13*i + 5. Determine s(13).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 255130797488678.44999895 + -255131474617337.45. Let u = 677128711 + y. Let w = u - 52. What is w rounded to seven dps?\nAnswer: -0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(a) = -a**3 + 33*a**2 - 89*a + 67. Calculate the least common multiple of w(21) and 349.\nAnswer: 3490","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(x) = 34*x**2 + 7. Let n(v) = 10*v**2 + 2. Let y(h) = 2*c(h) - 7*n(h). Let a(i) = 2681*i**2. What is a(y(t))?\nAnswer: 10724*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3 + 12 = -3*y, 0 = -2*r - 5*y - 275. Let a = 183 + r. Calculate the remainder when a is divided by 17.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*m + t = -5, 5*t = m + t + 8. Suppose -6*o - 120 = -7*o. Suppose 0 = 4*g - 5*a - o, 0 = -5*g + m*a - 7*a + 150. What is the tens digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2*n + 122 + 80 - 8.\nAnswer: -2*n + 194","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let o(l) = l**2 + 27*l + 44. Let k be o(-25). Let i be (-45)\/k*8\/160. Which is the nearest to -1?  (a) 3.8  (b) i  (c) 3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 10\/35 + (-39)\/63. Which is the closest to -5\/4?  (a) 2  (b) -1  (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 510, 531, 564, 609, 666, 735?\n\"Answer: 6*g**2 + 3*g + 501","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -168*v + 171*v - 6159 = 0. What is the tens digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(f) = -f**2 + 120*f - 897. What is u(112)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -254995341411\/1086800 - -5865738\/25. Let c = -5\/208 + l. Let h = c - -431\/2717. Put -5\/3, h, -4 in descending order.\nAnswer: h, -5\/3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1816?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 0.020152719349 and -6?\nAnswer: 6.020152719349","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 36*a - 38*a + 24 = 0. Let o(m) = m**2 - 11*m + 14. What is o(a)?\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 145089?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -1\/6, -4, 156?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -3 + 2. Suppose 4*f - 49 = 11. Let d(y) = -12*y**2 + 15*y - 15. Let g(k) = -k**2 + k - 1. Calculate f*g(b) + n*d(b).\nAnswer: -3*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 22 - 10. Suppose -5*f + 12 = -3. Let c = l + f. What is the remainder when c is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 1, -1, -8, 5 in descending order.\nAnswer: 5, 1, -1, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -60, -254, -590, -1080, -1736?\n\"Answer: -2*m**3 - 59*m**2 - 3*m + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort -34, -262, -180, 22, -4, 1.\nAnswer: -262, -180, -34, -4, 1, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose i - 154 - 83 = 0. What are the prime factors of i?\nAnswer: 3, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (3\/2)\/((-432)\/64)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (5*w - 2*w - 2*w + (50 - 14*w - 50)*(-2 + 4 - 1))*(-2 + 2 + w).\nAnswer: -13*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3670?\nAnswer: 2, 5, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 9054, 9048, 9042, 9036, 9030, 9024?\n\"Answer: -6*j + 9060","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Convert 38 (base 9) to base 12.\nAnswer: 2b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4 - 4 + 14*r)*(8 - 7 - 5).\nAnswer: -56*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4*b**2 + 2*b**2 + 17*b**2.\nAnswer: 23*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let k(o) = 2*o**2 - 2*o + 1. Let y(l) = 2*l**2 - 2*l + 2. Determine 3*k(b) - 2*y(b).\nAnswer: 2*b**2 - 2*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {v: 3, c: 3, m: 1}. What is prob of picking 1 m, 1 c, and 2 v?\nAnswer: 9\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -36508, -36608, -36756, -36952?\n\"Answer: -24*v**2 - 28*v - 36456","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((w\/w**(-9))\/w)\/(w*w*w**(-6)))\/((w\/(w*w\/(w\/(w**(-4\/17)*w))))\/(w**(-12)*w*w)) assuming w is positive.\nAnswer: w**(64\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 138.23 - 140. Let o = 1.6 + h. Let k = -3.57 - o. Round k to the nearest integer.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*m = c + 5, -3*c - 5*m + 3 - 7 = 0 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 6300 rounded to the nearest one thousand?\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: 101182002+1\nAnswer: 101182003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let j(z) = -z**2 + 3. Let s be 1 - ((-12)\/3 + 0). Let m(c) = 3*c**2 - 5. What is s*j(p) + 3*m(p)?\nAnswer: 4*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let l(j) be the first derivative of -1\/7*j**2 + 0*j + 1\/14*j**4 + 2\/35*j**5 + 1 - 2\/21*j**3. Factor l(n).\nAnswer: 2*n*(n - 1)*(n + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 8, -2, 10, 4, 2 in decreasing order.\nAnswer: 10, 8, 4, 2, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 63*31\/3906*1*58.\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"}
{"text":"Question: Let y(v) = -140 - 28*v + 140. Let k(w) = -2*w**2. What is y(k(l))?\nAnswer: 56*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (k**(2\/9)*k**(1\/3))**(-2\/3) assuming k is positive.\nAnswer: k**(-10\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let k(q) be the third derivative of 169*q**5\/60 - q**4\/24 - q**3 + 84*q**2. What is the second derivative of k(d) wrt d?\nAnswer: 338","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 5*-14*(-14)\/19110?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 19 times -362?\nAnswer: -6878","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 91684 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*o - k = -23087, -5*o - 2*k + 9238 = -3*o. Suppose 22*u - o = 7725. What are the prime factors of u?\nAnswer: 3, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 29009269.\nAnswer: 29009269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -63924, -128669, -193410, -258147, -322880?\n\"Answer: 2*a**2 - 64751*a + 825","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 467 minutes before 12:00 PM?\nAnswer: 4:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*h + 51 = -5. Suppose 0 = -2*x + 2 + h. Suppose x*p = 5175 + 1121. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0*h + 17 = 4*h - r, h - 2*r = 6 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 237 smaller than 235?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -1\/7 - 11\/21. Let i = 135 + -673\/5. Which is the closest to i?  (a) -1\/3  (b) -0.4  (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 8 - 18*b - 34*b - 12*b - 8*b + 167*b in the form q*b + k and give k.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 9 at most 5211.06?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4362233135.\nAnswer: 5, 13, 373, 179923","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3*sqrt(63) + -2 + (sqrt(252) - ((-1*sqrt(252) + sqrt(252) - sqrt(252) - sqrt(252)) + -5))**2.\nAnswer: 171*sqrt(7) + 2291","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let d(v) = -v**2 + 15*v + 18. Let l be d(14). Let a = 37 - l. Find the second derivative of -2*i - 29*i**2 - 8*i**2 - a*i + 4*i**2 wrt i.\nAnswer: -66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 7702 - 7678. Solve -21*r + y = -17*r for r.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 100 - -24404?\nAnswer: 24504","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 29 + 13. Let i(d) = -d**3 - 3*d**2 - 4*d - 1. What is the remainder when p is divided by i(-3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 4 + -4. Suppose b = 5*j + 15, 2*j = l + 5*j + 6. Suppose 7 = 4*m - 5*t, -6*t - 9 = -4*m - l*t. What is the units digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -2573*q**2 + 422*q + 2 + 1290*q**2 + 1286*q**2 as p*q**2 + h + u*q and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 105 or -315.6?\nAnswer: -315.6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*k + 29 = s, 40 = -4*k + 2*s - 0*s. Is ((k\/(-6) + 1)*314)\/1 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1639a2 (base 13) to base 15.\nAnswer: -ad36d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 11841230 rounded to the nearest 1000000?\nAnswer: 12000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 2\/589  (b) 5  (c) 2  (d) -0.4  (e) -2\/3  (f) 1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 26*z - 592 = -618 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 426 and 1136000?\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-8)\/28 + 102\/14. Let u = 16 - q. Suppose -u = -2*p - d, -p = 4*p - 3*d + 5. Solve -5*g - i - 9 = p, 0 = -3*g + i - 13 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -607343174*m**5 + 1180818*m - 102.\nAnswer: -12146863480*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 3643 - 3643.00001811. What is r rounded to 7 decimal places?\nAnswer: -0.0000181","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 246718237 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let u(j) = 53*j + 995. Give u(-19).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 375353 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let z(q) be the second derivative of -19*q**4\/12 + q**3\/6 - 78*q**2 - 108*q. Differentiate z(f) wrt f.\nAnswer: -38*f + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*d + 2*d - 210 = 0. Let w be (-228)\/(-14) - 12\/d. Suppose -4*z + w = -64. What are the prime factors of z?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0*0.504161\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 61864800 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 5442282 and 0.4.\nAnswer: 2176912.8","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 10973876*h**2 + 2557117*h - 5?\nAnswer: 21947752","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let z(t) be the second derivative of 0 - 1\/6*t**4 - 1\/15*t**5 + 4\/3*t**3 - 2*t**2 + t. Let a(d) be the first derivative of z(d). Factor a(j).\nAnswer: -4*(j - 1)*(j + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(q) = -4*q + 5. Suppose -2*u - 3 = -3*u. Suppose -u*c = 2*c - 10. Let w be h(c). Which is bigger: -2 or w?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -89 + 134. Differentiate 5*y**4 - 15 - j*y**3 + 45*y**3 with respect to y.\nAnswer: 20*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(l) = -4*l + 5. Let z(q) = 2*q + 2. Give h(m) + 6*z(m).\nAnswer: 8*m + 17","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {x: 3, m: 9}. What is prob of sequence mm?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let s(j) = 11*j + 37. Determine s(-17).\nAnswer: -150","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand 0*u**3 + 0*u**3 - u**5 + (6*u**4 + 32 - 32)*(2*u + 3*u - 2*u) + 36*u**5 - 72*u**5 - 35*u**5.\nAnswer: -54*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 1092055?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 15038659935 minus 5?\nAnswer: 15038659930","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 4\/14 - (-24)\/14. Suppose 8 = -3*a - h + 4, u*a = 5*h - 31. Let c = a + 3. Solve 3 = -p - c*p for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 22708?\nAnswer: 2, 7, 811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 4075508809 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let c(k) = 54*k**3 + 2*k**2 - k - 3. Determine c(-1).\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5 + ((3*6*(sqrt(17) + 1)*1)**2 - (sqrt(612) + 5)**2*-5*5).\nAnswer: 2148*sqrt(17) + 21752","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 872080 is divided by 185?\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let n(z) = 14 + 0 + 139*z - 39*z + 7*z. List the prime factors of n(2).\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 286525078279 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-83*p + 9*p - 131*p + (0*p + 3*p - 4*p)*(0 - 1 + 2) + 2*p + 1 - 1)*(0 - 1 - 2).\nAnswer: 612*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-39 - (-2 - (-3 + 3))) + (-147 - -147).\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 0 + 2 + sqrt(567).\nAnswer: 2 + 9*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 p and 3 j when four letters picked without replacement from ppjjppppppppjjpppp?\nAnswer: 14\/765","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let x(z) = -11*z + 61. Give x(6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.75 plus 2229?\nAnswer: 2229.75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 149 - 86. Let d = -65 + b. Let q be 28\/10 + ((-36)\/20 - d). Solve -g - 1 = q*u + 4, -3*u - 10 = -4*g for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 17721 and 69790131.\nAnswer: 1611","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 25*m = -12*m + 111 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 101 a factor of 75606?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: 13 + -2 + -45 + 16\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*m**3 - 3152*m**2 - 9484*m - 6328.\nAnswer: 4*(m - 791)*(m + 1)*(m + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Round 6014.57 to the nearest one hundred.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 547099268 to the power of 1\/4, to the nearest integer?\nAnswer: 153","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (0\/(-1))\/(4\/4). Let a(z) = z**3 - z**2 + 31. Calculate the remainder when a(c) is divided by 16.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 37.87 times -189.096?\nAnswer: -7161.06552","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -75*n - 1 + 119*n + 1 - 3.\nAnswer: 44*n - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3277983 + 949*f - 946*f - 3278043.\nAnswer: 3*f - 60","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 43*-353.9414.\nAnswer: -15219.4802","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Convert -17222746 (base 9) to base 8.\nAnswer: -40743667","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -2283, -2285, -2291, -2301, -2315?\nAnswer: -2333","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*d + 7*d = 4. Solve 4*f + 5*m + 21 = 0, -2*m = 1 + d for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*l + 5*q - 19 = 0, -5*q + 15 = -0. Find the second derivative of -180*w + 81*w - 9*w - 17*w**2 - 176*w + 104*w**l wrt w.\nAnswer: 174","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {d: 3, c: 3, a: 13}. What is prob of sequence da?\nAnswer: 13\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: 0.4*-0.816\nAnswer: -0.3264","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 222 - 222. Suppose h = 3*x - 98 - 217. What is the tens digit of x?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11*s - 144243 = 5838 + 84956. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"}
{"text":"Question: Round 11023814 to the nearest one million.\nAnswer: 11000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 2\/(-8) + 97\/180. Let y be 3\/(-2 - 13) - (-2484)\/2070. Is y < k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -21*x**5 - 8*x**2 + 12127433*x**3 - 12127433*x**3 - 108*x**4 + 38 wrt x?\nAnswer: -1260*x**2 - 2592*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 302553*p - 151274*p - 57 - 292*p**2 - 151279*p as h + n*p + b*p**2 and give b.\nAnswer: -292","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 0.2034 - 0.2634. What is the fifth smallest value in d, 0.0444, 3, 1, 2\/9?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in 25\/7 of a week?\nAnswer: 36000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {g: 4, x: 10}. Give prob of sequence gg.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-4 - -2) + -3 - -2.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*a = 4*w + 24, -2*w - 134*a - 15 = -137*a for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let p(q) = -q**3 + 9*q**2 - 11*q + 2. What is p(8)?\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Factor b**3\/2 - 2048*b**2 - 49701*b\/2 + 831870.\nAnswer: (b - 4108)*(b - 15)*(b + 27)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Divide -4 by -352760.\nAnswer: 1\/88190","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Do -1\/1047 and 0 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -88, -2, 8\/15, 1\/3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1016 (base 9) to base 3.\nAnswer: -1000120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: (-76)\/(-19) - (-52)\/(-14)\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.2, 9, -3\/7 in increasing order.\nAnswer: -3\/7, -0.2, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let m(b) = -b**3 + b**2. Let q be m(1). Suppose 5*a = 5*j - 25, 4*j + 4*a - 38 + 10 = q. What is the greatest common factor of 12 and j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 3856 and 227986.\nAnswer: 482","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 2145289 to the power of 1\/2, to the nearest integer?\nAnswer: 1465","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {c: 5, p: 2, k: 3}. What is prob of picking 1 c and 1 p?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (12\/9 - (-4)\/(-12)) + 0. Sort 5, 4, o, 3.\nAnswer: o, 3, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of g**4*v + 1778*g**4 - 30*g**3*v + 14*g**3 + 166*g**2*v + 1295*g**2 + 2*g*v + v + 1 wrt g.\nAnswer: 24*g*v + 42672*g - 180*v + 84","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 6 - 6. Suppose 2*i + n*i = 2*h - 2, -i + 3*h - 3 = 0. Let t(u) = u**2 - u + 20. Is t(i) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2142367 (base 8) in base 12?\nAnswer: 238707","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Convert -306 (base 10) to base 9.\nAnswer: -370","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: 767 + -720\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*v - 3*b + 13 = -4*b, -3*b - 6 = 4*v. Let t be 272\/24 - (-4)\/v. Solve -t = -2*w - 3*w for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 11 - ((-366)\/7 + (-830)\/(-2905))?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 257 and -0.3.\nAnswer: -77.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let g(o) = o - 4. Let t(d) = d**2 + 14*d + 27. Let b be 10\/4*66\/55. Let u(w) = 2*w**2 + 28*w + 54. Let p(l) = b*u(l) - 7*t(l). Let v be p(-11). Determine g(v).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ezwzdoeezd. What is prob of picking 1 o, 1 d, and 1 w?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*c + 9*c - 5*c)*(3 + 2 - 4).\nAnswer: 6*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 515.4 - 249. Let j = h + -266. Which is the nearest to 0.03?  (a) 5  (b) 1  (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 6*(1*sqrt(500) + (sqrt(5) + -1)*-1)**2.\nAnswer: 108*sqrt(5) + 2436","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let v(z) = -z**3 - 3*z**2 - 2*z + 1. What is the smallest common multiple of v(-3) and 1?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(u) = -u**3 - 9*u**2 - 16*u - 13. What is the remainder when s(-9) is divided by 24?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -4 in 1\/3, -1, -3.6?\nAnswer: -3.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 8*d**3*i*l + 189*d**3*l - 2*d**2*i*l + 123*d*i*l - d*i - d*l + 3*i*l wrt d?\nAnswer: 48*d*i*l + 1134*d*l - 4*i*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 1\/3  (b) 4\/5  (c) -745  (d) 3\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -29 - -32. Let v be 2 + -3 + -5 + l + 66. Let h = v + -46. Calculate the remainder when 67 is divided by h.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"}
{"text":"Question: Put 3, -4, -300, -2, 1267, -3 in decreasing order.\nAnswer: 1267, 3, -2, -3, -4, -300","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Sum 171350386 and 3.\nAnswer: 171350389","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -83\/575936 and -73\/863904.\nAnswer: 1727808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 30 - 2*k**2 + 0*k**2 - 35 to the form h + f*k**2 + j*k and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 u, 2 n, and 1 s when four letters picked without replacement from {n: 2, t: 1, y: 1, s: 1, m: 1, u: 1}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 42 (base 12) in base 16?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a(i) be the third derivative of -i**9\/252 - i**6\/60 + 3*i**5\/5 - i**4\/24 + 2*i**2 - 24*i. What is the third derivative of a(h) wrt h?\nAnswer: -240*h**3 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 16*u - 15*u - 3067 = 0. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(u) = u**3 + u**2 - u + 1. Suppose -5*r + 12 = -2*r. Let p = 4 - r. Calculate b(p).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -9179, -36675, -82493, -146627, -229071?\nAnswer: -329819","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 + 0 - 2)*(5*j - 2*j - 5*j + 2).\nAnswer: 4*j - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Sort 12, -3\/55, -4, 2\/5, 15 in increasing order.\nAnswer: -4, -3\/55, 2\/5, 12, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let g(z) be the second derivative of z**9\/5040 - z**8\/560 + z**7\/210 - z**4\/4 + 4*z. Let c(w) be the third derivative of g(w). Suppose c(b) = 0. Calculate b.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1\/142?  (a) -5  (b) 7  (c) 9060  (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 25 - 25.1. Which is the biggest value?  (a) -17\/4  (b) s  (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 22 - -14. List the prime factors of o.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 51 and 6528.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let h(i) be the first derivative of 0*i - 2 - 3\/2*i**2 + 2\/3*i**3. Find the second derivative of h(u) wrt u.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*n = 2*i - 3994 + 3944, 2*n - 2*i = -50 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*z + 4*v = 7*z - 7, -4*v + 14 = 2*z. Suppose 19*l - 120 = -5*l. Solve 5*r + m = l, -2*r - 5*m = z*r - 25 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 1*(-10)\/(130\/(-14053)). Let l(b) = 49*b**2 + 3*b + 1. Let x be l(-1). Calculate the highest common divisor of w and x.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(d) = -d**3 - 46*d**2 - 148*d - 660. Let f be g(-43). Solve f*z - 159*z = 10 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -2.398401721 rounded to three dps?\nAnswer: -2.398","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -0.01  (b) 0.05  (c) 2  (d) 0.7  (e) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -62 - -306\/5. Let k = -10.98 - 0.02. Let p = 16 + k. Put p, m, 4 in decreasing order.\nAnswer: p, 4, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(t) = 59*t + 2303. Calculate h(-39).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 672313, 672314, 672315, 672316, 672317?\n\"Answer: i + 672312","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.2483518 - 0.04068.\nAnswer: -0.2890318","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let x(m) = m - 1. Suppose -q = j + 13, 2*q = -2*q + 20. Let p be (-3 + 1)*(-9)\/j. Let s(l) = -l**2 - 5*l + 6. Determine p*s(c) - 5*x(c).\nAnswer: c**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 264 and 27576.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: 518 divided by 14\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 194*l - 727 = 1601 for l.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1.7 - 1514715.\nAnswer: -1514713.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let v(d) = -11764*d - 330008. Calculate v(-28).\nAnswer: -616","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 0.31 + -13.31. Let c = -12.99999993 - u. Round c to 7 decimal places.\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is twenty-three sixths of a year in months?\nAnswer: 46","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0006081 plus 27206.5?\nAnswer: 27206.4993919","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ddd when three letters picked without replacement from uxdxvvvxdvvxuxuvvdxx?\nAnswer: 1\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (m*m\/(m\/(m*m**41)*m)*m*m**(-23))\/((m*m*m**(-46)*m)\/((m\/m**(6\/13))\/m)) assuming m is positive.\nAnswer: m**(813\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:57 AM and 12:08 PM?\nAnswer: 371","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (9\/9)\/(2\/(-70)). What is the remainder when 40 is divided by (96\/80)\/((-2)\/l)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 42 divided by 10.\nAnswer: 21\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: -21305 divided by 272\nAnswer: -21305\/272","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 22 + 272. Suppose 3*u - 294 = -d, 2*d - n = -2*u - u. Does 16 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(k) be the second derivative of -k**7\/42 + 17*k**3\/6 - 3*k**2\/2 + 25*k. Let p(q) be the first derivative of g(q). Find the first derivative of p(r) wrt r.\nAnswer: -20*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -1123 and 5?\nAnswer: -5615","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 17.5 or -79\/21534?\nAnswer: -79\/21534","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 0.1  (b) 2\/5  (c) 223\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -886*r = 27721 - 2913 for r.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let n(y) = 499988*y**2 + 30*y. Let c(f) = -166663*f**2 - 10*f. Let h(s) = 10*c(s) + 3*n(s). Let r be h(15). Round r to the nearest 1000000.\nAnswer: -38000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express o**3 + 133 - 133 + o - o**4 as b*o**2 + n*o**3 + f + w*o**4 + l*o and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 242706?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is w in 4*w**2 - 24320*w + 36966400 = 0?\nAnswer: 3040","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -610\/11 + 1819\/33. What is the closest to 1\/2 in -3, 2, t, 5?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve l = -481*p + 483*p + 3, 1 = 4*l + 3*p for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 20.49708 - 4466316.\nAnswer: -4466295.50292","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve -8*z = -5*a + 4, 4*z + 187*a = 94*a + 98*a + 8 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 248 and 32.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 0 - -0.04. Let p = 3.04 - m. What is the closest to -2 in p, 1\/4, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 478247, 956489, 1434731, 1912973?\nAnswer: 2391215","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1411*k = -330*k - 22701 for k.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of -47147, -94301, -141455, -188609, -235763?\n\"Answer: -47154*i + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -0.4  (b) -2\/19  (c) -4  (d) -2  (e) 0.06  (f) -0.3  (g) 12\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.333785169 to two dps.\nAnswer: -0.33","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2409*w**2 + 634*w**2 + 1184*w**2)*(w**2 + w**2 - 3*w**2).\nAnswer: -4227*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from nynnyynnnnnnyy. What is prob of picking 4 y?\nAnswer: 5\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 20\/84 - (-1)\/3. Let c = 2551 + -2546. What is the second biggest value in b, 0.1, -1\/6, c?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -26 + ((-53016)\/376)\/((-174)\/32)?\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is five sixths of a hour in minutes?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 40 - 48.1. Let q = r - -2.1. What is the closest to q in 4, -0.5, 4\/5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 3663 times 5\nAnswer: 18315","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 13, -65, -193, -371?\nAnswer: -599","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -151\/17424 and -103\/440.\nAnswer: 87120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is -1074 minus -0.3?\nAnswer: -1073.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let i(n) be the first derivative of n**4\/12 + n**3\/2 - 4*n - 3. Let v(h) be the first derivative of i(h). Find the second derivative of v(w) wrt w.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 686030?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 845 is divided by 281?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1 + sqrt(304))**2 + (sqrt(19) - sqrt(475)*4).\nAnswer: -11*sqrt(19) + 305","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify z**(2\/5)*z**(-3\/2)*z*z assuming z is positive.\nAnswer: z**(9\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3634743236.\nAnswer: 2, 1327, 684767","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let f(d) = 2*d**2 - 15*d - 48. Let v be f(-4). What is the greatest common divisor of v and 143?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (u*u*u\/u**(2\/13)*u*u\/(u*u**(-1))*u*u)**(-12)*(u\/(u\/u**0)*u*(u*u*u**(-3))\/u)**(7\/8) assuming u is positive.\nAnswer: u**(-8635\/104)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 299 and 52.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Round 9.22972 to two dps.\nAnswer: 9.23","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -18, 147, 312?\nAnswer: 477","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (6*(-1*sqrt(288)*-1 + -3) - (0 + -4*-1*(1 + sqrt(288))))**2.\nAnswer: -1056*sqrt(2) + 1636","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -37 + 39. Solve 5*p + q = 27 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 6*n - 1 + 42*n + 7*n.\nAnswer: 55*n - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let r(c) = c - 5. Let s be r(7). Let n(o) = -o**3 - 2*o**2 - 4*o - 5. Let k be n(-2). Let u be ((-152)\/(-12) + -6)\/(k\/9). Solve 2*h = -s*h - u for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1764 divided by 6868?\nAnswer: -441\/1717","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -3592*u**3 + 205*u + 5?\nAnswer: -21552*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*d + 483 = -33*m, -5*m + 504 - 573 = -2*d for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:57 PM and 6:12 PM?\nAnswer: 195","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -1160 + 810. What is q rounded to the nearest one hundred?\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1?  (a) -0.03  (b) 0.2  (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*n - 12*n = -8. Is n > -3\/25?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 21\/4 of a litre in millilitres?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3172 + 1899 + 2922 - 2233 = -288*a for a.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 4\/14 - (-133)\/49. Suppose -k*s = 2*s. Which is smaller: -2\/11 or s?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(r) = 2*r + 1. Let g be p(-3). Let a(l) = 45*l + 131. Let d be a(-6). Let i = d - -692\/5. What is the third smallest value in 4, i, g?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 34, 40, 46, 52, 58?\nAnswer: 64","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2 - 11 = -4*y + a, -2*y - 21 = 5*a. Let c = 2 + -2. Solve y = -3*i - z - 12, c = 3*i + 5*z + 10 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 22725415?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -6742729*b + 7859514?\nAnswer: -6742729","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 50, 141, 314, 587, 978, 1505?\n\"Answer: 3*w**3 + 23*w**2 + w + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Does 601 divide 207512843?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 8661655 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence yy when two letters picked without replacement from {k: 6, y: 2, j: 7}.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {b: 4, q: 3}. What is prob of sequence qqbb?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -793298, -3173216, -7139748, -12692894, -19832654?\n\"Answer: -793307*h**2 + 3*h + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1032?\nAnswer: 2, 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 58190 is divided by 21?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 21 = -2*v - v - 5*p, 5*v - 5*p - 5 = 0. Let a be (v + 4)*(2 + -7). Let z = -5 - a. Solve -z = 4*s + 3 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -10, 682, 27, 3, -5 in increasing order.\nAnswer: -10, -5, 3, 27, 682","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 7092457 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: 153230441 (base 6) to base 15\nAnswer: 43e9ed","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(425)*2 + -1)**2 - ((sqrt(425) + 1)**2 + sqrt(17) - (-3 + sqrt(17) + -1 + sqrt(17) + sqrt(17))).\nAnswer: -28*sqrt(17) + 1271","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 9269?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -47\/71592 and -113\/30?\nAnswer: 357960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -2842, -10799, -23874, -42067, -65378?\n\"Answer: -2559*l**2 - 280*l - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 79641 or 79640?\nAnswer: 79641","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 460, 918, 1362, 1786, 2184, 2550, 2878?\nAnswer: 3162","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Convert 17207 (base 8) to base 16.\nAnswer: 1e87","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1 (base 5) to base 12.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-9)\/(-2) - 11\/(-22). Suppose -70 = 2*b + f*b. What is the common denominator of 26\/35 and 316\/(-4)*(-5)\/b?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(w) = 37*w + 294. Let s be c(-8). Sort s, -4, -8, -7, 4 in descending order.\nAnswer: 4, s, -4, -7, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(y) = 466*y**3 + 2*y**2 + 79*y - 523. Is p(6) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 1.16 - 0.16. Let k = 2 - b. What is the closest to k in -3, -0.3, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 48653*m**4 - 70381.\nAnswer: 194612*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 155\/12138 and 1\/102?\nAnswer: 12138","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 244578 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let u(r) be the first derivative of 173*r**2\/2 - 41*r + 251. What are the prime factors of u(7)?\nAnswer: 2, 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 48320?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*m - 58 - 432 = 0. Let v be (-4)\/6 - m\/21. Solve 0 = -4*g - 0*g + v for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 i and 1 d when two letters picked without replacement from {d: 15, i: 3}.\nAnswer: 5\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 + 2 - 2*i)*(3*i + 1 - 1)*(4*i - 5*i + 8*i).\nAnswer: -42*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5*(sqrt(57) + sqrt(57)*1 + sqrt(57) + sqrt(57))\/sqrt(3) + -6*(sqrt(1216) + sqrt(1216) + -1 + sqrt(19)).\nAnswer: -122*sqrt(19) + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 1107 and 492?\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -1 + 0.94. Let l = h + 2.06. Which is the closest to -2\/13?  (a) -3\/7  (b) l  (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 12517 or -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 102 - 80. Suppose 36*t - 434 = j*t. What is the tens digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 22, 13, -9, -4, 14 in ascending order.\nAnswer: -9, -4, 13, 14, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 2504963622?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 23782 > 23782?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2\/7?  (a) 4  (b) 5  (c) 0.11  (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ddaaadddaaad. Give prob of sequence dad.\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 10111 (base 2) in base 12?\nAnswer: 1b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g(b) = b - 4. Let j be g(0). Let c = 5 + j. Calculate the highest common factor of 8 and c.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -13 = 5*u + 12. Let l = 0 + 0. Put u, l, -4 in descending order.\nAnswer: l, -4, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(s) = s**3 + 5*s**2 - 7*s + 13. Let i(a) = 2*a**3 + 6*a**2 - 8*a + 14. Give -6*b(u) + 5*i(u).\nAnswer: 4*u**3 + 2*u - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*z + 346 - 381 = -5*l, 11 = z for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: 1608.5 + 9592\nAnswer: 11200.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Product of 305 and -45.\nAnswer: -13725","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4*m**3 + 4*m**3 + 5*m**3)*(-866*m + 42*m - 639*m).\nAnswer: -7315*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 8 - 7.7. Let q = -32802 + 32804. Which is the smallest value?  (a) 62  (b) q  (c) 0.4  (d) r\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -0.5 - -0.5. Let z = -0.3 - i. Let u = -4.7 + 5.1. Which is the closest to u?  (a) z  (b) 1\/4  (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 130 + 117. Suppose -248*k + i*k = -17. What is the remainder when k is divided by 7?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4 + 208 + 17 - 96*b - 19.\nAnswer: -96*b + 210","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -4185876, -4185875, -4185874?\nAnswer: -4185873","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -6*q - 26*q**2 - 6*q - 2 + 24*q**2 to u*q + m + b*q**2 and give u.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: 26575 * 0.2567\nAnswer: 6821.8025","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -145 - -147. Solve 0 = -4*c - h - 9, -4*c + h = -g*h + 21 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Total of 0.11477 and 1.\nAnswer: 1.11477","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -19 + 29. Let i = 13 - p. Suppose x - 17 = i. What is the greatest common divisor of 20 and x?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -10.442 rounded to zero dps?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 25*l = -15 - 10. List the prime factors of ((-3200)\/24 - 5)\/(l\/3).\nAnswer: 5, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let r be 1\/((-2)\/8*-10). Which is the closest to 3?  (a) -2\/5  (b) r  (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 80 and 15.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 342 - 340.545. Let m = 0.1 - 1.5. Let y = i + m. What is y rounded to 2 dps?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 1191, 1161, 1093, 969, 771, 481, 81?\nAnswer: -447","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -28 + 44. Find the common denominator of ((-39)\/p)\/((-90)\/(-48)*4) and -57\/20.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1 + 5 + -10 + 11\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose h**3\/4 - 3*h**2\/2 + 11*h\/4 - 3\/2 = 0. Calculate h.\nAnswer: 1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence lj when two letters picked without replacement from {c: 1, l: 1, e: 1, j: 2}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in 6, 17, 144, 2\/5?\nAnswer: 144","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -1013233233 + 30?\nAnswer: -1013233203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 13\/17344 and -22\/3?\nAnswer: 52032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is q in -q**3\/2 + 113*q**2\/2 - 671*q + 2100 = 0?\nAnswer: 6, 7, 100","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let x(b) = -b**3 + 15*b**2 - 13*b - 15. Calculate x(14).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*h + k = -5*h - 10228, 0 = -h + k + 2560. List the prime factors of h.\nAnswer: 2, 3, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 divided by -3893?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -z = z - 2. Let o be z*((3 - -2) + 4). Let p(q) = q**2 - 9*q + 8. Let k be p(o). Calculate the highest common divisor of k and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 8*u**4 - 153*u**3 + 100463*u.\nAnswer: 96*u**2 - 918*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.63, 1, 3, 0, -7 in descending order.\nAnswer: 3, 1, 0, -0.63, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let a(b) = -b - 1. Let d(l) = 9*l**2 - 14*l + 37. Let j(y) = -5*a(y) + d(y). List the prime factors of j(7).\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -4717, -10835, -16941, -23029, -29093, -35127, -41125?\n\"Answer: h**3 - 6125*h + 1407","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Express -32*h**2 - 96*h**2 - h**2 in the form g + v*h + x*h**2 and give x.\nAnswer: -129","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, 2, 3, -5, -4, 484690, -45 in increasing order.\nAnswer: -45, -5, -4, 0, 2, 3, 484690","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*d - 5*r = -13, 5 = 2*r + 3. Suppose 0 = w - 0*w - d. Suppose -w*o + 3*o = 3. Sort 2, 0.1, o.\nAnswer: o, 0.1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 172980.1521ns to weeks.\nAnswer: 0.00000000028601215625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d(w) = -3*w**2 - w. Let s be d(-1). Let m(v) = -2*v - 3. Let r be m(s). Let k be (-3 - -2) + (0 - r). Sort 0, 3, k in increasing order.\nAnswer: k, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(o) be the second derivative of 5\/24*o**3 + 0 - 1\/120*o**6 - 1\/80*o**5 + 1\/4*o**2 - 2*o + 1\/16*o**4. Let w(v) = 0. Calculate v.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -936.547 + 936. Round w to one decimal place.\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 d and 1 k when two letters picked without replacement from {p: 2, o: 4, h: 2, d: 1, v: 1, k: 4}.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from rxxeooexoxogxxe. What is prob of picking 1 r and 1 x?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: -8 + -3 + 10 - 6 - 1\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v(a) = -a**3 + 11*a**2 + 60*a. Let z be v(15). Suppose 4*j - 42 - 4486 = z. Is 41 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: -11011000111101 (base 2) to base 13\nAnswer: -6421","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (z\/(z\/(z\/z**(-3)))*z**(1\/17)\/z*z*z)\/(z*z\/z**(-1\/9)*z**(1\/4))*z\/z**(-3)*z**(2\/13)*((((z**(5\/4)\/z)\/z)\/z*z)\/z)\/(z*z\/z**(-6\/11)) assuming z is positive.\nAnswer: z**(55925\/21879)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -2310 - -2290. Put 5, -4, b, -7 in increasing order.\nAnswer: b, -7, -4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -74, -153, -232, -311, -390, -469?\nAnswer: -548","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b(a) = a**2 - 3*a + 38. Calculate the remainder when b(-4) is divided by 51.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -336 + -335. Let z = 239 - u. Suppose 1185 = 4*q - y, 3*q + z = 6*q - 5*y. List the prime factors of q.\nAnswer: 5, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 131 is divided by 23?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 3277 and 254069.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence imrm when four letters picked without replacement from {r: 8, i: 3, m: 6}?\nAnswer: 3\/238","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12 = 4*w - g, 5*w = 3*g - 2*g - 16. Is (2 - 1)*(207 - w) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = a + 4*i - 33946, 59*i = 3*a + 57*i - 101810. What are the prime factors of a?\nAnswer: 2, 71, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 44, 360, 1240, 2972, 5844, 10144, 16160?\nAnswer: 24180","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s be ((-1)\/(-4))\/((-35)\/(-56)). Let r(m) = m**3 - 4*m**2 + 7*m - 10. Let y be r(3). Suppose -22 - y = 3*a. Which is bigger: a or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(z) be the second derivative of 27*z**5\/5 + 11*z**2\/2 - 3*z - 33. What is the first derivative of c(t) wrt t?\nAnswer: 324*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 24 = 4*q + 4*a, q + 0*a - a = -2 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 0.095 - 0.1002. Round m to four dps.\nAnswer: -0.0052","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -11 + 18 - (9 - 0).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 59621 is divided by 94.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 141 - 137. What is the second derivative of -1994*k**2 + 2*k**w - 12*k + 2 - k**3 - k**4 + 1994*k**2 wrt k?\nAnswer: 12*k**2 - 6*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1.27 * 2215619\nAnswer: 2813836.13","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*o - 9*c + 65 = -4*c, 5*o - c = 41. Suppose 4*b - o = b. Factor 3\/2*s**2 + 0 - 3\/2*s**b - 3\/2*s**4 + 3\/2*s.\nAnswer: -3*s*(s - 1)*(s + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 171866*d**3*p**4 + 15*d**3*p**2 + 751*d**3*p - 2*d**3 - 599*d*p + 2*d wrt p?\nAnswer: 2062392*d**3*p**2 + 30*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -1, 0, -5, -22, -57, -116, -205, -330?\nAnswer: -497","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -608 - -1256. Let q = a + -642.54. What is q rounded to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -22.31 + 26.123. What is y rounded to one dp?\nAnswer: 3.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*n + 8 + 1. Suppose k + 2 = n*k. Which is the second smallest value?  (a) k  (b) 4\/3  (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 6\/(-10) - (0 + 1365\/(-25))?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -2 * 32.4288.\nAnswer: -64.8576","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(27) + 1)*2 - (sqrt(108)\/(sqrt(12)\/sqrt(3)))**2.\nAnswer: -25 + 6*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (8\/20)\/(32\/(-20)). What is the closest to m in 3\/5, 3, 1?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 991215 is divided by 991187.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Divide -47617 by -23.\nAnswer: 47617\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 92 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 295 and 9794.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (0 + sqrt(1216))**2*-4.\nAnswer: -4864","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 3023 or 5720?\nAnswer: 5720","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 47275*f**3*h - 256754632*f**3 - 7*f**2*h - 12*h wrt h?\nAnswer: 47275*f**3 - 7*f**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let o(y) be the third derivative of y**5\/390 + y**4\/156 - 2*y**3\/39 - 9*y**2. Let o(r) = 0. What is r?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*n + 1 = 16. Suppose 376 = -5*h + 4*o, 0 = -4*h - 3*o - 27 - 280. Let k = 78 + h. Solve 2*v + 2*r = -4 + k, -v + 23 = -n*r for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -1733, -3388, -4965, -6464, -7885, -9228, -10493?\nAnswer: -11680","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -186593*a*h + 83*a + 1476 wrt h?\nAnswer: -186593*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 2978 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: What is the least common multiple of 25504 and 873512?\nAnswer: 3494048","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4*(-4 + 2 + sqrt(847)).\nAnswer: -8 + 44*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*f + 258 = -54. Is 2 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -55\/2 and -75\/1808.\nAnswer: 1808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve 39*f - 38*f = 2, -5*w + f = -13 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 3001167 and 339?\nAnswer: 339","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of (28 - 21)\/(391\/(-196) - -2)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00077303152 to 7 decimal places.\nAnswer: -0.000773","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*l - 5 = -4*h, 3*l + 197*h = 199*h + 25. Solve x + 18 = -l*j + 23, j = -2*x + 10 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -26 + 23 + (5 - 1 - -54 - 0).\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let c(d) be the third derivative of -d**5\/20 + 7*d**4\/12 - 4*d**3\/3 + 690*d**2 - 2. Calculate c(5).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((23\/2)\/(-23))\/(((-17430)\/(-40))\/(-21))?\nAnswer: 2\/83","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Express p**4 + 2*p**4 - 9*p**2 + 5*p**2 + 3*p**2 + 1 in the form y + q*p**2 + i*p**3 + w*p**4 + o*p and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 245398 and 94192.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -613\/70 - -55\/7. Find the common denominator of 22\/3 and f.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(c) = -c**3 - 3*c**2 + 5*c + 4. Let x be w(-4). Let i = 3 + x. Let u = 5411 - 5407. What is the biggest value in u, 5, i?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(3) - (-3*sqrt(3)*3 + sqrt(3)) - (-1 + sqrt(363)).\nAnswer: -2*sqrt(3) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.3267099 days in milliseconds?\nAnswer: 28227735.36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 349539 is divided by 10585.\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of d**4 - 114*d**3*r**2 - 4*d**2*r - 103*r**2 wrt d.\nAnswer: 24*d - 684*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 630796531 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -2 + 1 + 6 - 342990\/4635.\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -5*10\/25*11?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 470 and 282?\nAnswer: 1410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let p(o) = 7*o + 2. Suppose 4*l + 4*y + 1 = 41, -l - 2*y + 10 = 0. Let a(t) = 15*t + 5. Let v(u) = l*p(u) - 4*a(u). What is the units digit of v(1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(n) = 4*n**2 + 2*n - 3. Let u(k) = -5*k**2 - 2*k + 4. Let i be (33 + -3)*20\/(-12)*1. Let q = 46 + i. Suppose 1 = -3*f - 8. Calculate f*u(g) + q*l(g).\nAnswer: -g**2 - 2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 222 divided by 420050?\nAnswer: 111\/210025","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Does 82 divide 2047868?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 98733433 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let d(n) = -3*n**2. Let t(j) be the second derivative of j**4\/4 + 12*j. What is d(t(a))?\nAnswer: -27*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -7 in -2\/21, 2, 1\/7?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(192)\/sqrt(6) + sqrt(2) + 4*2*sqrt(2) - sqrt(20)\/(sqrt(10) - (sqrt(250) - (sqrt(250) - (sqrt(250) - -2*sqrt(250)))))) + -2)**2.\nAnswer: -366*sqrt(2)\/7 + 33881\/98","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let v(m) = -2*m + 5. Let h be v(-6). Let s = 19 - 11. Suppose -h = -5*j + s. What is the units digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(110) - (5*sqrt(110)*3 + sqrt(110)))\/(4*(sqrt(10) - sqrt(160)))*-2)**2.\nAnswer: 275\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*t**4\/2 - 389823*t**3\/2 + 12719252739*t**2\/2 - 3618498122001*t\/2 + 1802889629541 = 0.\nAnswer: 1, 286, 64827","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 1083 - -119?\nAnswer: 1202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -160107, -320212, -480317, -640422?\n\"Answer: -160105*r - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 107 - -6?\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6*d + 28 = d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 40504.\nAnswer: 2, 61, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Round 7306580 to the nearest 10000.\nAnswer: 7310000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 525.8 + -526. Let j be (0 - -3) + 440\/(-143). Let v = 0.12 - -1.88. What is the nearest to f in j, v, 2\/17?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1033491509 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 284 + -194. Suppose -2*p + 725 = 5*r - f, -2*r = -4*p - 326. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(h) = -h**2 - 17*h - 13. Let m be f(-16). Suppose 5*d = -10 + 35. Solve m*q = d*q + 2 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3 + 0.097947587?\nAnswer: 3.097947587","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -1983184659.99999465 - -1983184753. Let q = b - 93. Round q to 7 decimal places.\nAnswer: 0.0000054","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(t) be the first derivative of -t**4\/4 + 7*t**3 + 6*t**2 + 78*t - 9. Is u(12) a multiple of 69?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -408 + 420. Solve -13*w + 4 = -o*w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(u) = -u**3 - 8*u**2 - 7*u + 7. Let l be j(-7). What is the third derivative of -l*x**2 - 4*x**6 + 3*x**5 + x**5 - 4*x**5 wrt x?\nAnswer: -480*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 6 divide 15443?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 694102362.\nAnswer: 2, 3, 1571, 73637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: -2 * -0.014\nAnswer: 0.028","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let d(h) be the third derivative of -9*h**8\/56 - 13*h**4\/12 - 6*h**2 - 2*h. Find the second derivative of d(g) wrt g.\nAnswer: -1080*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 4.897352 rounded to zero dps?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1120 = -0*l - 4*l. Let k = l + -131. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1556418641 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: -172 divided by 18\nAnswer: -86\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify a**(5\/3)*a*a**(2\/5)*a**(2\/47)\/(a*(a**(5\/6)*a)\/a*a) assuming a is positive.\nAnswer: a**(389\/1410)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -6593*b + 4 - 3 + 10280*b.\nAnswer: 3687*b + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: -13 (base 14) to base 12\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*t + 5*v + 75 = 0, 3*t - 64 = 2*v - 6*v. List the prime factors of t.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (91231*o + 70 + 237 - 91228*o)*(-2 + 2 + 2*o) as l + i*o**2 + z*o and give i.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 40 + 166?\nAnswer: 226","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let c(b) = -2*b**2 + 20*b. Let d(g) = g**2 - 10*g. Let r(n) = -3*c(n) - 7*d(n). Let m(k) = k. What is m(r(z))?\nAnswer: -z**2 + 10*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 0 + sqrt(19) + -4 - (0 + (sqrt(38)\/sqrt(2) - sqrt(19))**2).\nAnswer: -4 + sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -11*i - 6*i + 3*i = 24*i + 1672 for i.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: 2.5 * 72680\nAnswer: 181700","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 36 minutes before 1:25 PM?\nAnswer: 12:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let o(u) = 0 + 1 + u + 4*u - 3*u. Let z be o(4). Calculate the greatest common divisor of z and 18.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 44 minutes before 5:16 AM?\nAnswer: 4:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 40915?\nAnswer: 5, 7, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*c + 2*h = -15 + 24, 4*c + 2 = -h. Suppose -3*o - 9 = -7*l + 2*l, o + l + 3 = 0. Sort 3\/5, o, -0.2, c in descending order.\nAnswer: 3\/5, -0.2, c, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -15*n - 155 = 105 - 65 for n.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -0.03 - 0.37. Let b = 0.02 - 0.42. Let m = -0.3 - b. What is the biggest value in l, m, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from iiibibbiiiiiiibibii. What is prob of picking 1 i and 1 b?\nAnswer: 70\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let x(f) = f. Let b(j) = -12826*j. Determine x(b(l)).\nAnswer: -12826*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let q(m) = 21*m**2 - 10611*m - 94063. Determine q(514).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let j(s) = 3*s**3 + 12*s + 0*s**3 - 5 - 7*s + 0*s**3. Let b(v) = 4*v**3 + 6*v - 6. Suppose 0*y = 4*y + 24. Calculate y*j(a) + 5*b(a).\nAnswer: 2*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-6)\/(-9))\/(6\/51 - 9\/(242352\/2624)).\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 57*f - 176 = 35*f. Put f, -4, 0, 4 in ascending order.\nAnswer: -4, 0, 4, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -100\/3 - -33. Let u = 1 + -1. Let z = 0.3 + u. Which is the second smallest value?  (a) m  (b) -0.3  (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 624 minutes before 7:07 AM?\nAnswer: 8:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let r(z) = 2*z - 26. Let s be r(15). Suppose v = -4*a - 7 + 34, 30 = s*a + 2*v. Are 6 and a non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 8.090371 kilometers in nanometers?\nAnswer: 8090371000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-6 + 43 + 3*h - 11)*(-48 + 48 + 36*h).\nAnswer: 108*h**2 + 936*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 89 a factor of 2491?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 65629 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -90438, -361732, -813888, -1446906?\nAnswer: -2260786","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 332 = 2*j - 5*d, -j = -12*d + 8*d - 160. What is the highest common factor of j and 341?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 1118.669 to the nearest integer.\nAnswer: 1119","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 20 a factor of 955869?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let w(z) = -32*z**3 + 3*z + 38. Let p(c) = 63*c**3 - 7*c - 75. Suppose -8*u + 53 = -3. Let b(i) = u*w(i) + 3*p(i). Differentiate b(o) with respect to o.\nAnswer: -105*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -4 - 447?\nAnswer: -450","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -0.05 - -9.05. Let h = -4 + n. What is the second smallest value in 1\/6, -0.1, h?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*x = 14*y - 16*y + 6, 3*x + 6*y + 4 = -x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 24897941.\nAnswer: 59, 479, 881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 3773354, 7546712, 11320074, 15093440, 18866810, 22640184, 26413562?\n\"Answer: 2*u**2 + 3773352*u","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -33 - -49. Let k be (30\/y - (-5)\/40) + 10. Solve 2*f - 3*g - 3 = 0, -4*f + 4 + k = 4*g for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 510520331 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 19 - 9. Suppose -2*u - b = -7*u. Suppose -l + 316 = u*x + 3*l, 3*x + 2*l - 482 = 0. 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: Let n(y) = y - 12. Let f be n(11). Calculate the least common multiple of 8 and f\/(-2) + 26\/4.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 21906748577 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Round 18.189 to 1 dp.\nAnswer: 18.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let q(p) = -p**2 + 9*p - 10. Let d be q(8). Let m = -288 - -283. Put -1, d, m, 3 in ascending order.\nAnswer: m, d, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 13*w**5 + 2*w**5 - w**5 + 6*w - 3*w**5 wrt w?\nAnswer: 220*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 83019481 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*x + 285 = -3*d, 7*d = 5*x + 3*d - 470. Let h be 2\/(-3)*x\/20. Let n be 3\/(-1) - (-4)\/4. What is the third smallest value in n, -2\/63, 0.4, h?\nAnswer: -2\/63","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(j) = 2*j - 3. Let f be s(4). Suppose 0*r + 2*r - 20 = 0. Suppose 16 = n - 2*t - 14, f*t = -r. Calculate the remainder when n is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*j + 5496119*l - 5496087*l + 82 = 0, -15 = 5*l for j.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 82 - (-3 + 122 - 75)?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let a(f) = -3*f**2 + 69*f - 580. What is a(14)?\nAnswer: -202","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 66 and 97152.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let b(l) = 2*l**3 - 15*l**2 + 8*l + 37. Let h(f) = -5*f**3 + 49*f**2 - 22*f - 112. Let v(c) = -8*b(c) - 3*h(c). Determine v(-27).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1103.8 rounded to the nearest 10?\nAnswer: -1100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -40, -29, -28, -43, -80, -145, -244?\nAnswer: -383","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Factor 20*s**2\/7 + 657*s\/7 + 1710\/7.\nAnswer: (s + 30)*(20*s + 57)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: (15\/6)\/(5\/6)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 2665 and 2747?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*s = 2 + 4. Suppose -c = s*c - 12. What is the remainder when (8\/(3 - 1))\/1 is divided by c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(q) = -q**3 - 17*q**2 - 11*q - 62. What are the prime factors of s(-18)?\nAnswer: 2, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 20 minutes after 4:08 PM?\nAnswer: 4:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let y(w) = 175*w - 801. What is y(5)?\nAnswer: 74","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 4 in 1, 18, 2, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (3\/(-2))\/(11 - 14).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Round 574170 to the nearest 1000.\nAnswer: 574000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -5 - 61*x**2 + 5.\nAnswer: -61*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Divide 13282410 by -4427470.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:22 PM and 10:46 PM?\nAnswer: 264","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let i(g) = -6181*g + 111171. Determine i(18).\nAnswer: -87","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 433331547 and 330.\nAnswer: 4333315470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -175, -685, -1467, -2467, -3631, -4905, -6235, -7567?\nAnswer: -8847","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o(f) = -f**2 - 5*f + 2. Let t = 87 - 87. What is the least common multiple of o(t) and 9 - ((-1)\/(-1) + -2)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 1512\/1027 or 1?\nAnswer: 1512\/1027","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Express -5 + 5 + 7 + 16*t in the form h + a*t and give a.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is one quarter of a hour in seconds?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many nanograms are there in 24025.8g?\nAnswer: 24025800000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence zoc when three letters picked without replacement from cbbowcwbzb?\nAnswer: 1\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -233 + 211. Is 294701\/m*(-1 - (0 - -1)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -1, -1\/15, -1\/4, 0, 7, -98 in decreasing order.\nAnswer: 7, 0, -1\/15, -1\/4, -1, -98","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*p + 16*p - 144 = 0. Suppose -5*v = -3 - p. Suppose -8*m - 2*i = -4*m - 26, v*i - 14 = -m. Solve -2 = -4*q + m*q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -18773486, -18773518, -18773570, -18773642, -18773734?\nAnswer: -18773846","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 4766 - 52422\/11. What is the smallest value in -6.2, p, -2, 4?\nAnswer: -6.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 0 or -3\/686?\nAnswer: -3\/686","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: 14770 (base 11) to base 3\nAnswer: 1001122200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t(w) = -9*w**3 - 7*w**2 + 2*w + 4. Let n be (-1)\/(-8) - 294\/48. Let d(k) = -10*k**3 - 8*k**2 + 2*k + 5. Let o(a) = n*t(a) + 5*d(a). Give o(1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (1\/(-4))\/(3 + 34\/(-8)). Which is greater: y or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 55.7 + -56. Let h = t + -1.2. Round h to the nearest integer.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -149\/3852 and 27\/11068.\nAnswer: 10658484","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when (-4)\/(-3)*(44 - 11) is divided by 23?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 18270 and 20720?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -x - 10923 + 10549 + 8*x to c + t*x and give t.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 421 + -427. Find the common denominator of (g\/135)\/((-128)\/4960) and 19\/252.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 218196 + -116632. Let h be (2*i\/3)\/((-4)\/(-6)). Let d = -11236 - h. Round d to the nearest 10000.\nAnswer: -110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(w) = -w. Let m be q(-5). Suppose 0 = 4*u + 4*r + 16, -5*r + 22 = -5*u - 8. Sort u, m, 4 in decreasing order.\nAnswer: m, 4, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 16*k = -866 - 574. Let f be 14\/(-105) + 141\/k*-2. Solve -f*m + 5 = 2 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 556, 559, 562, 565?\n\"Answer: 3*t + 553","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*a = 2*y + 12, -3*y - 1 = 2*a + 2*a for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 496 + -301. Is 7 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 619057 to the nearest integer?\nAnswer: 787","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in seventeen halves of a decade?\nAnswer: 1020","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h(r) be the first derivative of -r**4\/4 - 20*r**3 + 781*r**2\/2 - 9242. Let h(s) = 0. What is s?\nAnswer: -71, 0, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4 + ((sqrt(1216) + -4)**2 + sqrt(1216) - sqrt(1216)) + 0 - -1*-4*(-2*sqrt(1216))**2.\nAnswer: -18228 - 64*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5*(-6*sqrt(68)*-1 + (2*sqrt(425)*-5)**2) + 4.\nAnswer: -212496 - 60*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let g(f) = 37660*f + 3797. Is g(5) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((k**(-1)*k)**(-50)\/(k**0)**(1\/19))\/((k\/((k**(-2\/3)\/k)\/k))**47\/((k\/(k\/k**(-3)))\/(k*(k*k*k**(2\/3))\/k))) assuming k is positive.\nAnswer: k**(-178)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of (47*-9 + -3)*(3 + -9)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -154 + 1571 = -45*t - 203 for t.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 4303941 and -6480470?\nAnswer: 10784411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2*a**3 - 4*a**3 + 2*a**3 - 2*a**3 - 2999.\nAnswer: -2*a**3 - 2999","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 20 and 8770?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose r - 41 = -3*x, -75 = -3*x - 2*x - 3*r. Let p = x - 10. Solve p*n + 4 + 6 = 0 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 8965073 and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 8 + (-1 - 7) + (3 - 1) - 5.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 7560 and 31374.\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let t(w) = -w**2 + 10*w - 6. Suppose -c + 3*q = 3*c - 32, 0 = 5*q. Let i be t(c). Is (38\/6)\/(i\/90) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, 2, -1257, 281.\nAnswer: -1257, -5, 2, 281","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence eeff when four letters picked without replacement from fefeee.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*y = -5*y + 48. Suppose y*r = 20*r - 4. Solve 0 = -4*x - 4*c - 12, -5*c + 4 + r = x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 8881 - 8879. Solve -2*h + 0*c + 5*c + 16 = 0, 2*h - k*c = 4 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of -4443, 11878, 28199?\n\"Answer: 16321*p - 20764","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w be ((-6)\/12)\/((-2)\/88). Find the common denominator of ((-16)\/56)\/((-8)\/w) and -11\/10.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 3\/((-34)\/3 - -11). Let u(m) = 10*m - 2. Let t(s) = -19*s + 4. Let w(l) = 3*t(l) + 5*u(l). Let b(g) = -3*g + 1. Determine z*b(f) + 4*w(f).\nAnswer: -f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (s**(-8\/7))**39 assuming s is positive.\nAnswer: s**(-312\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 937853867 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 58372.\nAnswer: 2, 14593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*g + 49 = -b, g - b = 14 + 10. Suppose 19*c = -10*c + 87. Suppose -4*z - 2 + 17 = -l, -c*z + g = 2*l. List the prime factors of l.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -434 + 2605\/6. Sort -3, -12, o in descending order.\nAnswer: o, -3, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 34 divided by 4?\nAnswer: 17\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 15 a factor of 100536?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Express (40 - 106 - 8)*(-3*l + 0*l + 2*l) + l - 5 + 5 in the form f*l + m and give f.\nAnswer: 75","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1413 = 8*f - 1429. Let w(i) = i - 8. Let j be w(11). Suppose -j*s = 2*s. Solve s = 2*n - f, -2*a - n - 19 = 2*a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(d) = -d**2 - 2*d + 2. Let z be x(-2). Let n(j) = -6*j + 0*j + 2*j - z. Let p be n(-5). Calculate the highest common factor of 162 and p.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -221 + 129. Let p = u + 92.000206. What is p rounded to five decimal places?\nAnswer: 0.00021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2.7*-1.17.\nAnswer: -3.159","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 284, 288, 300, 326, 372, 444, 548?\nAnswer: 690","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v(r) = -6178*r - 213. Is v(-4) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 17*x - 3*x**2 + 17*x - 53*x + 19*x.\nAnswer: -3*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) -3\/7  (b) 5  (c) -12  (d) 12.414\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose k - 878 = -3*q, -k + 1121 = 5*q + 241. Does 5 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(z) = z**3 + 10*z**2 + 9*z. Let b be n(-9). Is ((b - 3) + 94)*1 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -1965338\/369641 + 420\/79. Let b = m - -140384\/32753. Which is bigger: 2\/7 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(p) = -p**3 + 10*p**2 - 8*p - 13. Does 13 divide j(7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 2 - 2.1. Let j(m) = 3*m - 43. Let u be j(16). What is the nearest to n in u, 0.3, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:13 AM and 4:25 AM?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 258 - 254. Suppose 3*l - 728 = -m*d + 675, -3*d + 466 = l. What is the hundreds digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (429\/715)\/((-1)\/(-25)). What is the highest common factor of s and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 4\/(-2)*(-580596)\/24. Suppose -k = -4*c - 16383. What is c rounded to the nearest 1000?\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 5445 + -81806\/15. Let p be 38\/(-6) - (1 - -1). Let b = p - w. Which is greater: b or -4?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*o + 3*o = 10. Let p = -5 + o. Let s be ((p + 3)\/(-2))\/2. Solve s = 3*n - f - 11, -3*f + 1 + 2 = 3*n for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 236815726.\nAnswer: 2, 7, 2416487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let w(z) = -z - 5. Let l be w(-6). Let r(q) = q**2 + 1 - l. Let v(j) be the third derivative of -j**5\/30 - 3*j**2. Determine r(v(d)).\nAnswer: 4*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 23 + -24. Sort c, -2, 3 in decreasing order.\nAnswer: 3, c, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence uxb when three letters picked without replacement from lxxxuuxuhubxx?\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 83325 and 723867.\nAnswer: 303","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 1234 + 1?\nAnswer: 1240","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let p(d) = -6 + 0*d**3 - 10*d**2 + 8*d + 24*d + d**3. Is 14 a factor of p(6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -15.955 - 0.045. Let y = h + 20. Put y, 5, -5 in descending order.\nAnswer: 5, y, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 155 minutes after 8:49 AM?\nAnswer: 11:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -2333913 and 3.8?\nAnswer: -8868869.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((v*v*(v\/(v\/(v*v\/(v\/v**(-2\/17))))*v)\/v)\/v**(-5)*v*v**(1\/5)*v*v*v*v**8)**(2\/9) assuming v is positive.\nAnswer: v**(1138\/255)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Does 569 divide 575527859?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve -513*h + 25750 + 81520 = -2213*h - 1455*h for h.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Express 17*u**3 - 7242*u + 7242*u - 4*u**2 as l*u**2 + x*u**3 + s*u + m and give x.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*n + 2*n + 0*n)*(5 - 5 + 2*n) - 608 + 608 - 41*n**2 - 3*n**2 + 4*n**2 + 0*n**2.\nAnswer: -42*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 23*t - 4*b - 24 = 26*t, 3*b = 0. What is the thousands digit of (-20)\/t - 27708\/(-24)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -1, -4\/47, -7?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 4 - (2 - -7) - (12 + (-2 - 8))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 86910 is divided by 56.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let r(m) = -17*m**3 + 9*m**2 - 14*m + 17. Let t be r(6). Let u = 5192 + t. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:42 AM and 10:22 PM?\nAnswer: 700","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 10\/16*(160\/(-25) + 6). Let z = -9 - -8. Let u be 9\/18*z\/2. What is the closest to m in -4, u, 0.1?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 49*s - 1 = 50*s. What are the prime factors of (s - 1 - 140)*-3?\nAnswer: 2, 3, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1 + 1 = a. Let n be a*(3*2)\/3. Suppose 5*o - 4 = -x + 2, x = -3*o + n. What is the units digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 137, 97, 59, 23?\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-9)\/1 + (-6 - -4). Let o(h) = -3*h - 1. Let r(s) = 10*s + 11. Let y(p) = 3*o(p) + r(p). Let a be y(b). Put 4, 0, a in ascending order.\nAnswer: a, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(1152) + -1 + sqrt(1152) + -1 - (sqrt(1152) - (sqrt(1152) + sqrt(1152) + 0)*5) - (sqrt(1152) + 0 + 2 + (1 + sqrt(1152))*-4)) + -2)**2 + -1.\nAnswer: -1344*sqrt(2) + 225795","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 168.9395 or -19\/2?\nAnswer: 168.9395","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 709 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Put 5, 1\/3, 8.2, -43 in decreasing order.\nAnswer: 8.2, 5, 1\/3, -43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 31129517 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Divide -69257972 by -4604.\nAnswer: 15043","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Work out 287276 * 4.\nAnswer: 1149104","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 - 1 - 2*a)*(2 + 1 - 4) + (2 + 29*a + 46*a - 13*a)*(1 - 5 + 3)*(-5 + 2 + 6).\nAnswer: -184*a - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1 in 1272, -0.1, -2\/13, 0.5, -26?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -17 - 213*j + 6*j**2 + 213*j with respect to j.\nAnswer: 12*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*v - 49 = -112*m + 117*m, 3*v + 5*m = -43 for v.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.026563 to 4 decimal places.\nAnswer: -0.0266","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 824, -0.04, 2?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 9240 not equal to 545112\/59?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let b(s) = s**3 - 4*s**2 + 3*s + 2. Let r be b(4). Let p = r - -14. What is the highest common factor of p and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.9*17457455.\nAnswer: 15711709.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 526 to the power of 1\/2, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*t = -t. Solve t = 2*x + 3*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 554.6209 litres?\nAnswer: 554620.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 516721.3099 rounded to the nearest ten?\nAnswer: 516720","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*t = q - 8, -4*t - 6 = -4*q + 10. Solve 5*g - q*c - 15 = 0, 4*c - 5*c = 0 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 11*v**4 - 11*v**4 - 4*v**4 + 5*v**3 - 5*v**3 - v**4 + (-3*v + 3*v + 2*v**2)*(2*v**2 - 4*v**2 + 0*v**2) - v**4 - 5*v + 5*v + 13*v + 5*v**4 - 13*v.\nAnswer: -5*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of -84, -77, -66, -51, -32, -9, 18?\n\"Answer: 2*t**2 + t - 87","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 7 - 10. Let q = g - -1. Suppose -2*y = 3*y. Put q, y, 3 in decreasing order.\nAnswer: 3, y, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:28 PM and 6:53 AM?\nAnswer: 685","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3*(sqrt(156) + sqrt(156) + sqrt(156)*-2 + sqrt(156))*1)\/(-6*(sqrt(12) - sqrt(60)\/sqrt(5)*6)).\nAnswer: sqrt(13)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 + 4 - 4)*(d + d**2 - d - 6*d**2 + d**2 + 3*d**2 + (3 - 3 - 2*d)*(5*d - 3*d - 6*d) + 2*d**2 + 2*d - 2*d).\nAnswer: -9*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Factor -d**2\/4 + 145*d + 581\/4.\nAnswer: -(d - 581)*(d + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1671 + 7*g - 14*g - 18*g - 1679.\nAnswer: -25*g - 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3 + 3718*o**3 - 4285*o**3 + 1 + 6153*o**3 - o.\nAnswer: 5586*o**3 - o - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-7)\/(294\/32) - (3 - (-250)\/(-75))?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*b + 49 = 181. Let i = 27 - b. Solve 2*z - 3*o - 2 = i, 4*o = 5*z - 14 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(u) = u - 3. Let s be w(3). Let z(l) = 30*l + s - 29*l + 0. Let c(a) = 7*a. Give c(z(v)).\nAnswer: 7*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 41.57442 litres?\nAnswer: 41574.42","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -4208 + 4208.2. Let m = 2 + -3. Which is the nearest to m?  (a) -2  (b) 0.4  (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -2\/518785 or 1?\nAnswer: -2\/518785","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*a - 302 + 54. Suppose 163 = 2*t - 63. Let l = t - a. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-1 + sqrt(7) + sqrt(7))*-1 - (-3 + sqrt(42)\/sqrt(6)))**2.\nAnswer: -24*sqrt(7) + 79","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 1921 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let f(c) be the first derivative of 4*c**5\/5 - 362*c**3 - c**2\/2 + 359*c - 1862. Find the second derivative of f(p) wrt p.\nAnswer: 48*p**2 - 2172","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(w) = -10*w + 12. Let j(h) = 10*h - 16. Let p(s) = -2*j(s) - 3*l(s). Let q(k) = -5*k + 2. Give -6*p(x) - 11*q(x).\nAnswer: -5*x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let x(c) = -4*c - 1. Let t be x(-1). Suppose -5*s + 0*s = -t*g + 30, -3*s - 34 = -5*g. Let w(f) = -22*f**3 - 2*f**2 - 4*f - 1. Is w(s) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 30.211 and 5.\nAnswer: 151.055","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let l(h) = 3*h + 1. Let r(a) = 7*a + 1. Let d(m) = -11*m + 528. Let n be d(46). Let p = 5 + 15. Let c = p - n. Give c*r(j) + 5*l(j).\nAnswer: j + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -139\/6600 and -4\/2425?\nAnswer: 640200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*c + g = 2*c + 36, -4*c = 4*g - 56. Let a = 12 - c. Suppose -4*p - a = -133. List the prime factors of p.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0 in 1\/2, -1984\/45, -21?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let c(i) = -2*i**2 - 5*i - 3. Let k be c(-3). Calculate the common denominator of ((-1)\/44)\/((-1)\/(-6)) and 9\/k + 47\/20.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -436260 divided by -105.\nAnswer: 29084\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 276 - 251. Solve -o = -17*q + 26 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 13231\/238 - 1041\/17. What is the common denominator of -39\/25 and n?\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 34716, 69415, 104086, 138711, 173272, 207751, 242130?\nAnswer: 276391","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*d = 4*v - 24, 128*d + 128*d = 252*d - 5*v + 42 for d.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 119861 is divided by 59926.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*u + 0*u + 4*u)*(5 - 2 - 1)*(6*u - 6*u - 3*u**4) - u + 2*u**5 + u + 8*u**2 + 26*u**4 + 5*u**4 + 57*u**5 - 33*u**4.\nAnswer: 53*u**5 - 2*u**4 + 8*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of -1, 7, 29, 71, 139, 239, 377, 559?\n\"Answer: p**3 + p**2 - 2*p - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of -742, -751, -760, -769?\n\"Answer: -9*t - 733","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 25897644?\nAnswer: 2, 3, 67, 1193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 53613319 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -6 + 5 - (-1 - 1).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 42 - 11 - (-24 - (9 - 24))\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -48706360, -48706361, -48706362, -48706363, -48706364?\n\"Answer: -y - 48706359","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -2557 + 2556.5. Let t = -25 - -24.7. Let q = t - 1.7. Which is the closest to -1?  (a) 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 551 and 87695507?\nAnswer: 551","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let l(v) be the second derivative of v**4\/12 + 2*v**3\/3 - v. Let d(r) = -3*r**2 - 11*r. Calculate 4*d(n) + 11*l(n).\nAnswer: -n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -42800*s**5 - 215*s - 6?\nAnswer: -856000*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*a + 2 = c + 2*a, c + a - 6 = 0. Let o(y) = 5*y - 20. Let w be o(c). Find the second derivative of -25*b**4 + 14*b - 3*b**4 + w*b**4 wrt b.\nAnswer: -276*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 144227 rounded to the nearest 10000?\nAnswer: 140000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from jzgjftfjszjfgzfgf. What is prob of sequence zjf?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: 1 + -8 + (-3 - -7)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j(l) = l**3 + 7*l**2 - 4*l - 5. Let t be j(-8). Let x = t + 110. Round x to the nearest ten.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -189, -1629, -5539, -13155, -25713, -44449, -70599, -105399?\n\"Answer: -206*r**3 + r**2 - r + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 1000 and 8650?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 345697411 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let w(p) = -8*p + 20 - 3071*p**2 - 4*p + 3068*p**2. Let j be w(-5). Let h be 1\/(-2)*-6 - -2. Solve -5*k + h = -j for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(f) = f**3 + f**2 - f - 3. Let v be u(-2). Let g(b) = 3*b**2 - 7*b - 13. Let c be g(v). Let h = c + -87. What is the smallest common multiple of h and 2?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(k) = -k**3 + 223*k**2 + 3625*k + 831. Calculate q(-15).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 0  (b) -373081  (c) -1.7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let o(q) be the third derivative of -7*q**5\/60 - q**3 + 3165*q**2 - 1. Let x(d) = -14*d**2 - 11. Let r be (11\/(-2))\/((-2)\/4). Determine r*o(f) - 6*x(f).\nAnswer: 7*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve -l**5\/5 + 2754*l**4\/5 + 8274*l**3\/5 - 8264*l**2\/5 - 3861*l + 16542\/5 = 0 for l.\nAnswer: -3, -2, 1, 2757","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((c\/(c\/(c*(c\/(c**(-3\/2)\/c))\/c)))\/c)**(-5)\/(c**11*c*c*(c\/(c*c**(6\/7)))\/c))**26 assuming c is positive.\nAnswer: c**(-4303\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 2877054 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 8407\/9 + -934. Put -113, 3, c in ascending order.\nAnswer: -113, c, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -145, 3, -10, 1 in decreasing order.\nAnswer: 3, 1, -10, -145","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 417058?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let u(g) = -g**3 + g**2 - g + 4. Let f be u(0). Suppose 2*d = f, 100 = 5*m - 4*d - d. Does 15 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -47538 by -417.\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -8\/32361 and -40\/9849?\nAnswer: 226527","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*i + 0*i - 4*i)*(40*i**3 - 34*i**3 - 104*i**3)*(2 + 2*i - 2).\nAnswer: 392*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -21, -262, -925, -2220, -4357?\n\"Answer: -35*f**3 - f**2 + 7*f + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t(q) = -q**3 - 8*q**2 + 9*q + 5. Let c be t(-9). Suppose -u - 5 = -c*f + 3*u, 2*u = 10. Suppose 12305 = -f*o + 46200. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(27) - (-1*sqrt(432) + sqrt(432)))\/sqrt(9))**2*4.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let i(t) = -3*t**2 - 6*t + 6. Let q(f) = -10 + f**2 + 8 + 3. Let g(p) = -2*p**2 - p. Let v(b) = g(b) + q(b). What is i(h) - 6*v(h)?\nAnswer: 3*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 69907 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let s(i) be the second derivative of i**8\/14 - i**4\/2 + 6*i. Find the third derivative of s(p) wrt p.\nAnswer: 480*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is ((-4)\/6)\/(6 + (-57392)\/9564) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(i) be the first derivative of -22\/5*i**3 + 7\/10*i**4 + 24\/5*i + 32\/5*i**2 + 4. Determine r, given that n(r) = 0.\nAnswer: -2\/7, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -1 + 8. Suppose x = 2*w - 3*g, -2*w + 4*g + 0*g + 8 = 0. Suppose -d + 12 - 2 = w*c, 5*d = 4*c + 8. Is c a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -261333 or -261332?\nAnswer: -261332","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((x**(-2\/5)*x**(1\/3))**(-26))**(-10) assuming x is positive.\nAnswer: x**(-52\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 6\/33 - 2198\/(-11). Suppose -3*n - w = 2*n. What is n rounded to the nearest one hundred?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 99\/28768 and 103\/5390280.\nAnswer: 625272480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 36335\/172 + (-20)\/16?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 51663463 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 133 and 323.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let v(a) = -23*a + 5. Let s(i) = 252*i - 54. Suppose 0 = -66*b + 5450 - 1886. What is b*v(y) + 5*s(y)?\nAnswer: 18*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 50401\/130 + (-5)\/(200\/(-12)) is divided by 65?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many milligrams are there in 31\/5 of a gram?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 1568.9401 rounded to the nearest one hundred?\nAnswer: 1600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 3\/(-5) + (-94)\/10. Let y = -2 - h. What is the greatest common factor of 32 and y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from zoq. What is prob of sequence zqo?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 77 + 2 + 8\/(-4). Suppose 220 = -4*f + q, -2*f = -7*q + 4*q + 110. Let k = y + f. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -15211 - -15211. Which is the fourth biggest value?  (a) -2  (b) g  (c) -58  (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add together -0.04 and -259.2884.\nAnswer: -259.3284","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 2\/4 + 5\/(-10). Let k(z) be the third derivative of w*z**3 + 1\/360*z**6 - 1\/180*z**5 + 0*z**4 + 0*z + 0 + z**2. Factor k(c).\nAnswer: c**2*(c - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -10493*o = -10554*o - 854 for o.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, 4\/5, -18, 49, 4 in ascending order.\nAnswer: -18, 4\/5, 2, 4, 49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: 8 - (-8 + 12 + -3) - 10\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -8*z + 75 + 525. Let a = 77 - z. Solve 3*o = -a*o - 15 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 6 + -15. Let q be (-114)\/l*(-9)\/(-6). Find the second derivative of 2*i - 8*i**2 + q*i**2 - 16*i wrt i.\nAnswer: 22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 816?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 321 is divided by (119\/(-17))\/((-1)\/2).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 23 + -8. Let r be 1\/((-9)\/x)*-3. Solve i - 15 = -r*k, -10 = i - 3*i for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (3\/24)\/((-3)\/54). Which is the biggest value?  (a) 3\/5  (b) y  (c) 1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4 + (-5 + 4*1*sqrt(180))*-5)**2*5.\nAnswer: -34800*sqrt(5) + 364205","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let q(d) = d**3 + 7*d**2 - d + 3. Let a be q(-7). Let r = 31 - a. What are the prime factors of r?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.000009549919 rounded to seven decimal places?\nAnswer: 0.0000095","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 7*d**3*u + 4*d**3 - 1481*d**2*u + 30*d*u - 185*d - u + 1565 wrt u?\nAnswer: 7*d**3 - 1481*d**2 + 30*d - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Does 21 divide (-3)\/((-12)\/(-28))*-3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -q**3 + 1269 - 2407 + 1138.\nAnswer: -q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (2\/6)\/(1\/66). Let u be (-1885)\/(-143) - 4\/22. Let r = w + u. What is the units digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: -11 divided by 12\nAnswer: -11\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is (-111 - -34 - -250) + -73?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -6\/13 in -25, -15, -1\/2, 1\/38, 1\/9, 1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let a(v) be the second derivative of v**3\/6 + 9*v**2\/2 + 3*v. Let h be a(-4). Solve -n - 17 = o - 4*n, -27 = o - h*n for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 3\/8 + 1\/40. Let l be 3\/(-15)*5\/(-6). What is the nearest to y in -2\/5, l, 1?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 11*f - 10*f + 3*i = 3, 1 = -f - i for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (f**(-2\/25)*f)**(-22) assuming f is positive.\nAnswer: f**(-506\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Determine z, given that -38*z**5\/11 + 10806*z**4\/11 - 1108636*z**3\/11 + 47629580*z**2\/11 - 694163550*z\/11 + 249334750\/11 = 0.\nAnswer: 7\/19, 29, 85","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 2673925210 to the nearest integer?\nAnswer: 1388","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is -23.276 rounded to the nearest integer?\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.04077357 to five decimal places.\nAnswer: -0.04077","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 355 minutes after 10:34 PM?\nAnswer: 4:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (7*(-40)\/(-420))\/((15\/(-9))\/(-5))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 1415051 (base 7) to base 13\nAnswer: 68069","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: -2 (base 4) to base 7\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 5340504 - 2333?\nAnswer: 5334131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 50458 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 3174 + -3172. Solve -z*x + 14 = -4*w, 3*w = 3 - 18 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(s) = 2*s**2 + 4*s + 1. Let z(a) = -2*a**3 - 3*a**2 - 33*a - 5. Give -7*p(v) - z(v).\nAnswer: 2*v**3 - 11*v**2 + 5*v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let q(a) = 375315*a**2 - 4*a + 23. Let d(u) = -187657*u**2 + 2*u - 11. Let h(n) = -7*d(n) - 3*q(n). Let k be h(-9). Round k to the nearest one million.\nAnswer: 15000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(h) = 114*h**3 + 154*h**2 - 7. Let x(g) = -37*g**3 - 51*g**2 + 2. Give -2*i(p) - 7*x(p).\nAnswer: 31*p**3 + 49*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.88 * -3.\nAnswer: 2.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1149511675.\nAnswer: 5, 13, 3536959","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 5 + (-1 - -2)*418. Let g = c - 102. What is the tens digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(a) = a. Let q(x) = -975*x - 1600*x - 2165*x. What is c(q(n))?\nAnswer: -4740*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -306 = -5*u + 854. Suppose 1529*i + 49122 - 101708 = 80437. What is the highest common divisor of u and i?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 807710903 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 17?  (a) -1\/3  (b) -8\/13  (c) 0.069  (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 32 and 224.\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 628 to the power of 1\/3, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence gxx when three letters picked without replacement from {b: 5, x: 3, g: 1}?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let z(i) = 4*i**2 - 9*i - 41. Is 13 a factor of z(-9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 238, 0.05, 18.94, -2\/3?\nAnswer: 18.94","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Put -6, -0.4, 105, 1\/6 in decreasing order.\nAnswer: 105, 1\/6, -0.4, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*l**2 + 6045*l + 65890.\nAnswer: 5*(l + 11)*(l + 1198)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 111000110101111100101111111 - 1?\nAnswer: 111000110101111100101111110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 18.8 - 14. Let l = a + -5. Let w = l + 0.5. What is the third smallest value in -0.3, w, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -9 + 7 + 2 - 21*t.\nAnswer: -21*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (2\/(-22))\/((7\/(-2))\/(-7)).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -4*b - 149 + 113 for b.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.07654 to three decimal places.\nAnswer: -0.077","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let p(f) = -f**3 + 3*f**2 - 4*f + 2. Let g = 4 + -2. Let r be p(g). Let v be 3 - (-3 + 2 - r). Solve 2*x + v*x - 1 = -5*n, x = -4*n - 8 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -1.4 - -0.9. Suppose 4*l - q = 2*q + 7, -5*l + 4*q = -10. Let n be (-2 + (-25)\/(-10))\/l. Which is the third smallest value?  (a) 1\/7  (b) n  (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 26\/24070893 or -1?\nAnswer: 26\/24070893","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*k + g = 4*k + 3466, 2*k = -4*g - 3476. Let y be 2\/(-7) - k\/42. What is the lowest common multiple of 2*y + (-2)\/(-1) and 4?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5 = -5*j + 3*c, 2*j + 0*j = c - 2. Which is smaller: j or -7\/8?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -119 (base 12) in base 2?\nAnswer: -10100101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 1290, 4303, -1?\nAnswer: 4303","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let i(x) = -34*x - 3. Suppose -2*n - 10*t + 8*t - 4 = 0, -4*t - 17 = -5*n. Calculate i(n).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*m**2 - 1 - 2 - 3)*(-12*m**3 - 4*m**3 - 4*m**3).\nAnswer: 40*m**5 + 120*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 182401 and 1263024?\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 8456070*c**3 - 32218*c**2 + 2*c - 12 wrt c?\nAnswer: 50736420","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: -2.2 times 108369\nAnswer: -238411.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let f(d) = 9*d + 6. Let r(p) = 31*p + 15. Let i(o) = -154*o - 76. Let b(s) = -3*i(s) - 14*r(s). Determine 5*b(y) - 16*f(y).\nAnswer: -4*y - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-11*k - 4*k + 25*k)*(-k**4 - 4*k**4 + 4*k**4 + (-k + 3*k**2 + k)*(-4*k**2 - 2*k**2 + 4*k**2)).\nAnswer: -70*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 28*p = 49402 - 49626 for p.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let j(z) = -5*z + 18. Let m(l) = l - 1. What is -j(k) - 6*m(k)?\nAnswer: -k - 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Convert -5 (base 9) to base 13.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -4420, -17758, -39988, -71110?\n\"Answer: -4446*z**2 + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Put -29, -738977, -5 in ascending order.\nAnswer: -738977, -29, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -123, -244, -355, -450, -523, -568?\n\"Answer: x**3 - x**2 - 125*x + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (2069 + -2105)*(-4)\/360.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4 + 3*((sqrt(117) - ((sqrt(117) + sqrt(117)*2 + sqrt(117))*3 + sqrt(117)))\/sqrt(9) - -2*sqrt(143)\/(sqrt(22)\/sqrt(2))).\nAnswer: -30*sqrt(13) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((w\/w**(-1\/12))\/w*w*w**(-4\/5)\/w)\/((w**(2\/15)\/w*w)\/(w\/w**(2\/3)*w*w)) assuming w is positive.\nAnswer: w**(89\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 4 - -158. What is the greatest common factor of d and 45?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 18 divide 2112?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-108)\/(-1458))\/(4\/24)?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -57 + 229\/4. Let o be ((-4)\/22)\/(10 + (-23 - -12)). Which is the second biggest value?  (a) o  (b) -3  (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 872 - -1607. Is r a multiple of 67?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 218269.9ml to litres.\nAnswer: 218.2699","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from aadeaeda. What is prob of sequence ad?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-15)\/10*124*4\/16*(-424)\/(-636).\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is c2 + -237?\nAnswer: -145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 7.91*-1.\nAnswer: -7.91","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 15 - (10 + -11 + 8).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-6)\/(-2)*1\/(-6)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 41943 and 69905.\nAnswer: 209715","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 678438918?\nAnswer: 2, 3, 67, 359, 1567","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: (2*(-4)\/8)\/1\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 482425368 to the power of 1\/2, to the nearest integer?\nAnswer: 21964","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 164026*b*v**3 - 35*b*v**2 + 11*b + v**3 - 66 wrt v.\nAnswer: 984156*b + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -1.4 - -1.3792. Let u = o + 0.02. Round u to 4 decimal places.\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -0.1 - -0.02. Let n = c + 0.76. Let t = 7.92 + n. Round t to zero decimal places.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -37812170 divided by -55?\nAnswer: 687494","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let g(o) = -15*o**2 + 15*o + 5. Let r = -29 - -34. Let v(n) = -8*n**2 + 7*n + 3. Let p(h) = r*v(h) - 3*g(h). Factor p(u).\nAnswer: 5*u*(u - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1375 to the power of 1\/2, to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 622849 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -284*v - 3615*v + 132566 for v.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2?  (a) 0.3  (b) 0.4  (c) 0.6  (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -99 - -103. Let p(l) = -l**3 - 21*l**2 + 22*l - 1. Let n be p(-22). Sort g, -1\/5, n, 5 in ascending order.\nAnswer: n, -1\/5, g, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(x) = -5918*x - 35689. Determine s(-6).\nAnswer: -181","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*r - 4*b + 900 = 0, -8*r - 5*b = -6*r + 422. Let o = 176 - r. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(s) = -6*s + 124. Let o be q(20). Suppose -1111 = -6*n + 3*n + 5*p, 0 = o*n - 4*p - 1492. List the prime factors of n.\nAnswer: 13, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 24*u - 2 + 2 - 61*u.\nAnswer: -37*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -1.5 - -1. Let n be 35\/(-84)*(-36)\/(-60). What is the nearest to 2 in -1\/9, n, v?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 2 - -36?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 4 a factor of 971?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Express 51 - 51 - n**3 + (4*n - 2*n + 0*n)*(3*n**2 - 5*n**2 + 3*n**2) - 83*n + 83*n - 14*n**3 as a*n**2 + k*n + g*n**3 + o and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (455\/42 - 11)*8.\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -4*c - 7*j + 35, c + 5*j + 14207 = 2*c + 14232 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*v**4 + 4*v**4 - 3*v**4)*(-33 - 36 - 27).\nAnswer: -96*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 779 a factor of 401191232?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3088088111.\nAnswer: 1151, 2682961","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 16b1 (base 14) in base 13?\nAnswer: 1b16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many meters are there in 57\/2 of a kilometer?\nAnswer: 28500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 5 a factor of 364975?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 50288 divided by -3143?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*o + f = -26, -5*o + 977*f - 982*f = 55 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2 in -49, 18\/31, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let o(b) = -233*b**3 - 8*b**2 - 26*b - 9. What is the thousands digit of o(-4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*n - 35 = 3*y, 0 = 3*n - 3*y + 139 - 169 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: How many milliseconds are there in 6\/25 of a minute?\nAnswer: 14400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Does 6 divide 78660?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let d(r) = -2*r - 13. Let w be d(-10). Let o(i) = i**2 - 7*i + 4. What is the lowest common multiple of 7 and o(w)?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.1?  (a) 0.068  (b) 6  (c) -1  (d) -9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -19482 - -23284. Does 25 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 z and 1 v when two letters picked without replacement from zazzvlamvuzvz.\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 750680 and 208?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let z(o) = 5*o + 6. Let v(s) = 70*s + 85. Let m(d) = -6*v(d) + 85*z(d). Let i(x) be the first derivative of x**2 - 1. Calculate i(m(w)).\nAnswer: 10*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let a(h) = -9*h - 14. Let s(v) = -107 - 110 + 8*v + 229. Let l(m) = -4*a(m) - 5*s(m). Let j(d) = -4*d - 3. Give 7*j(q) - 6*l(q).\nAnswer: -4*q + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: How many meters are there in one tenth of a kilometer?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2 + ((sqrt(55)\/(sqrt(11) + sqrt(11)*2) - (sqrt(5) + (-1 + sqrt(180) + sqrt(180) - sqrt(180))))**2 + -5)*6 + 4.\nAnswer: -80*sqrt(5) + 3946\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let s(h) = h**2 + 15*h + 10. Give s(-15).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is -118 - (-131 - 54) - (0 + 10)?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 3258, 3412, 3566, 3720, 3874, 4028?\nAnswer: 4182","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: 5221 divided by 753\nAnswer: 5221\/753","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is -210.6259646 rounded to the nearest 10?\nAnswer: -210","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*m**2 + 4*m**2 - 2*m**2)*(-63 + 34 + 57 - 277).\nAnswer: -498*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6824*d = -6849*d + 250 for d.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:22 PM and 9:12 PM?\nAnswer: 470","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 50 + -23. Let k be 4\/12 + (0 - (-380)\/12). Suppose 0 = -k*l + m*l + 20. Let o(j) = j**3 - 4*j**2 - 4. Calculate o(l).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1112022001 (base 3) in base 5?\nAnswer: 1430411","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 1944181\/4, -4, 0.1, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let -3*x**4\/5 - 63*x**3\/5 - 72*x**2 - 624*x\/5 = 0. Calculate x.\nAnswer: -13, -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 282725646?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 3231*f**3*x**2 - f + 373*x**2 wrt f.\nAnswer: 19386*f*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is -105757 bigger than -2\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {z: 1, w: 1, n: 2, e: 2, h: 8}. What is prob of picking 1 n, 1 h, and 1 z?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 20566, 21774, 22982, 24190?\nAnswer: 25398","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 831707 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let y(o) be the third derivative of -o**5\/30 - 5*o**4\/12 + 5*o**3\/6 + 10*o**2 - o. Let f be y(-5). Which is the biggest value?  (a) f  (b) -0.003  (c) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 459?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -31270*k**2 - k**3 + 31270*k**2.\nAnswer: -k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1*18\/(-21)*(-93)\/(-62).\nAnswer: -9\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -77 = -5*j + 4*d, 3*j + 3*d + 6 = 36. Solve -j*w = -8*w - 20 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (5508\/84 + -7)\/((-2)\/(-14)). Is l <= 411?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let w be 366\/(-250) - (-54)\/36. Let l = 1191\/250 + w. Find p such that -36\/5*p - 18\/5*p**2 - l - 3\/5*p**3 = 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1131 to the power of 1\/2, to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (0 - 4) + (-3 - -14).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*z + 76 = 20. Suppose 2*i - 46 = -7*v, 5*v + 55 = 5*i - 150. Suppose -4*n + i + 747 = 0. Calculate the greatest common divisor of z and n.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 262084 is divided by 689?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let u(g) = -2*g**2 - 8*g - 18. Let b(o) = o + 1. Let h(m) = -28*b(m) - 2*u(m). Factor h(s).\nAnswer: 4*(s - 2)*(s - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(t) = -248*t + 2143. What is m(7)?\nAnswer: 407","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (2\/(-18))\/(6\/(-8304)). Let t = 154 - g. Sort -16, t, -2 in decreasing order.\nAnswer: t, -2, -16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 1192430037 to the nearest integer?\nAnswer: 1060","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -437*g**3 - 431*g**3 + 851*g**3.\nAnswer: -17*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from wwgggw. What is prob of picking 2 g?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let j(t) = 7*t**3 + t**2. Let v be j(-3). What is the units digit of ((-8)\/5)\/(6\/v)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 42 + -35. Let p = 49 - 56.4. Let l = k + p. What is the third smallest value in l, 3, -3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (3*d**2 - 7*d**2 + 0*d**2)*(1 - 3*d - 1) + (-2*d + 2*d - d)*(-2 + 4 - 1)*(-3*d**2 + 0*d**2 + d**2) to y*d**2 + h*d**3 + m + p*d and give h.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1\/3?  (a) 4  (b) 3  (c) 6  (d) 437\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: ((-413)\/(-7847))\/(679\/(-266))\nAnswer: -2\/97","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1082*j + 3978 - 44012 = 0 for j.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -0.3687 - 1.2483. Let z = b - -1.046. Let c = z + 0.54. Round c to 2 decimal places.\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -17 + 60. Let b be o*1 + (-13 - -10). Find the common denominator of -67\/16 and 294\/b + 8\/20.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: -28 + ((11 - 2 - 12) + -4 - 4)\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i(w) = 3*w**2 - w - 16. Let s(x) = -3*x**2 + 3*x + 15. Let p(v) = -4*i(v) - 5*s(v). Let y = -8 + 11. What is the remainder when y is divided by p(-1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 14 + -7.5. Let g = l + -7. Which is greater: g or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 189980647 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 51 + -28. Suppose 4 = -p + 2*p. Suppose -p*x = -h + j, -2*x - 41 = -h - 7*x. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -160.329 + 160. Let q = -5.277 - r. Let x = q - 0.052. What is the third biggest value in -1, 0.2, x, 5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2469377 divided by -35.\nAnswer: 2469377\/35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 272 - 248. Suppose -27*l + j*l - 5*u + 21 = 0, -3*u + 19 = 5*l. Sort l, -3, 32 in decreasing order.\nAnswer: 32, l, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence lnml when four letters picked without replacement from {o: 1, q: 3, n: 2, m: 1, l: 5, z: 1}.\nAnswer: 1\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 2134 and 3254932.\nAnswer: 35804252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is -62567.3152 rounded to the nearest 100?\nAnswer: -62600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: 1332402 (base 5) to base 2\nAnswer: 110101001011011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 154 + -150. Suppose -5 = y, 2*a + 10 = -4*y - d. Let j(g) = -g**3 + 3*g**2 + 3*g - 4. Determine j(a).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3383*f + 3296*f + 3387*f + 3381*f + 3387*f - 16833*f.\nAnswer: f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -4 + 19. Suppose 6*d + g = 11*d. Let l(s) = -s**2 + 27. Let a be l(0). What is the highest common divisor of a and d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: -60 divided by -2\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: -8804308 divided by 4402154\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of (-1)\/3*(-69)\/10 and 29\/11?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence pm when two letters picked without replacement from {e: 5, m: 3, p: 3}?\nAnswer: 9\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let u(s) = -2*s**3 + 19*s**2 - 8*s - 10. Calculate u(9).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -38939, -38936, -38933, -38930?\n\"Answer: 3*q - 38942","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3*(sqrt(77)*-2*4 + sqrt(77) + (sqrt(77) - (-1*sqrt(77)*1 + sqrt(77)))))\/(4*-3*sqrt(448)*3).\nAnswer: -sqrt(11)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the sixth smallest value?  (a) -15  (b) -4  (c) 151  (d) -1.6  (e) -3  (f) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 46 + 2?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Determine u, given that -2*u**4\/7 + 15648*u**3\/7 - 15644*u**2\/7 - 15648*u\/7 + 15646\/7 = 0.\nAnswer: -1, 1, 7823","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 90393984 a multiple of 4891?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 4\/3*(-6)\/(-80)*-4?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 2087701 and 567?\nAnswer: 169103781","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 16 + 12 - 12824\/448?\nAnswer: -5\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be ((-1456)\/(-165))\/(10\/(-175)). Let j = 472\/3 + p. Let l = -6631\/6 + 1110. Calculate the common denominator of j and l.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 3 divide 85369?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 43*x - 90 = 17*x + 20*x. Solve -2*v - x = -2*a - 1, 5*a - 33 = 4*v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -17 + 21. Let w(y) = 7*y + 4. Suppose -2*d - t = -19, 4*t + 42 = 3*d + t. Calculate the remainder when w(m) is divided by d.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 153498 is divided by 153455.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 740 + -719. Suppose d + 16 = 3*d. Calculate the least common multiple of d and v.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -97 - 3*y**2 + 0*y**2 + 65.\nAnswer: -3*y**2 - 32","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1d51d (base 14) to base 9.\nAnswer: -124008","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 63\/316 and 133\/10499736?\nAnswer: 829479144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let m(j) = -j + 1 - 3 + 2 + 3. Let z be m(-6). Solve -c + 5 = 5*v - 10, -3*v = -4*c - z for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(r) = 3523*r. Let k(n) be the third derivative of n**5\/20 - 120*n**2. Calculate k(u(f)).\nAnswer: 37234587*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -4993 and 49.\nAnswer: -244657","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -99*n + 11*n**2 - 96*n + 193*n + 12*n**2.\nAnswer: 23*n**2 - 2*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.000020005143 rounded to six decimal places?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let g(i) be the first derivative of -i**3 - 180. Let m(q) = -5*q**2 - 27*q. Determine m(g(z)).\nAnswer: -45*z**4 + 81*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Factor -18*x**2\/7 + 35692*x - 555120\/7.\nAnswer: -2*(x - 13878)*(9*x - 20)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let w(t) = t**2 + 14*t + 10. Let h be w(-11). Let q = 26 + h. Suppose 2*y + 16 = 6*y. Which is bigger: y or q?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ll when two letters picked without replacement from {e: 6, g: 1, l: 7, q: 6}.\nAnswer: 21\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 13\/4 of a litre in millilitres?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g(p) = 4*p**2 + 4*p - 2. Let h(n) = 3*n**2 + 3*n - 1. Let f(k) = -2*g(k) + 3*h(k). Let d(x) = 751 - x + 3*x - 747 + 6*x**2 + 4*x - x**2. Give d(t) - 6*f(t).\nAnswer: -t**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let a be -10 - (216\/(-12) - -4). Sort 1, 3, a, -4 in decreasing order.\nAnswer: a, 3, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 7, -11, -16, -5, 71 in descending order.\nAnswer: 71, 7, -5, -11, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let l(i) be the first derivative of 3\/7*i**2 + 4\/7*i + 2\/21*i**3 - 3. Factor l(o).\nAnswer: 2*(o + 1)*(o + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4329964*d**2 - 4329963*d**2 + 8659935*d**2.\nAnswer: 8*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ehhq when four letters picked without replacement from hhfheeffqx?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 5.419692 years in millennia?\nAnswer: 0.005419692","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:29 PM and 7:26 AM?\nAnswer: 597","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is one quarter of a millimeter in micrometers?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x(t) = -7*t**2 + 20 - 8*t**2 + 1602*t**3 - 1601*t**3 - t. Suppose -5*c - o + 75 = 0, -c - 5*o - 7 = -22. Give x(c).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1915?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.2 + 50239.\nAnswer: 50239.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*z - 2 + 2 + (-1 + 2 - 2)*(2*z - 2*z + z) + z + 3*z + 2*z + z + 0*z - 2*z)*(-10*z**2 + 5*z**2 - 21*z**2) + (1 - 1 + z**2)*(0*z - z - z).\nAnswer: -54*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Expand -8 + 12 + 3*o - 2 + (-3*o + o + 0*o)*(-3 - 1 + 6).\nAnswer: -o + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 14\/(-550)*(-43210)\/30247.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 30479 + 3*d - 30479.\nAnswer: 3*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 51 = 4*n - 3*q, -1 = 3*n + 4*q - 8. Is 9\/(-6)*(-42)\/n a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 5 - 73?\nAnswer: -6c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let c(g) = -g**3 + 2*g**2 + 4*g + 2. Suppose 0*k - 24 = -8*k + 4*l, 0 = -5*k + 4*l + 21. Let d(n) = -n**3 + n**2 - n + 1. Determine k*c(z) - 2*d(z).\nAnswer: z**3 + 6*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 8153 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is -26c (base 14) in base 13?\nAnswer: -2b7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-16)\/(-160)*-6*(-15)\/(-531)?\nAnswer: -1\/59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 244 and 1647?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of -273, -272, -271, -270, -269, -268?\n\"Answer: i - 274","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a(q) = -q**2 + 38*q - 321. What is a(13)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 406, 3304, 11168, 26482, 51730, 89396, 141964, 211918?\n\"Answer: 414*d**3 - d**2 + 3*d - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 32215?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (26 - (60 + -28)) + -7 + -1?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-o + o**4 + o)*(-3 + 3 - 2*o) + (-14*o**3 - 10*o**3 + 5*o**3)*(0*o**2 - 3*o**2 + 5*o**2).\nAnswer: -40*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -15 + 40?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -0.1369 or -23232?\nAnswer: -0.1369","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*w**2\/15 - 1135682*w\/15 - 567842\/15 = 0. What is w?\nAnswer: -1\/2, 283921","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (l*l\/l**(-2\/27)*l**(-3))**46\/(((l\/l**(-4\/9))\/(l*(l\/l**(-1\/7)*l)\/l*l))\/(((l\/(l\/l**(2\/15)))\/l)\/(l**(1\/2)\/l))) assuming l is positive.\nAnswer: l**(-77983\/1890)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*j**2 + 20*j + 25 = 0. What is j?\nAnswer: -1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 73628 divided by 286?\nAnswer: 36814\/143","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: How many milliseconds are there in 5\/6 of a minute?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 14*h*t**3 + 19*h*t**2 - 959*h*t - 2*t wrt t.\nAnswer: 84*h*t + 38*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: -2 + 12 + -55 - -23 - -14\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1123 is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 331 minutes after 1:39 PM?\nAnswer: 7:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -26 - 208538*u + 27 + 74140*u.\nAnswer: -134398*u + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4\/(-6)*8*9\/(-792).\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from sresjjgr. Give prob of sequence rj.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 20\/25*(-10)\/(-4). Find v such that 600*v + 3*v**4 + 662*v**2 + 31*v**3 - 392*v**m + 375 + 17*v**3 = 0.\nAnswer: -5, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 623 divided by -95.\nAnswer: -623\/95","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 13.7*0.01.\nAnswer: 0.137","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2 + -1*(sqrt(147) + 0))**2.\nAnswer: 28*sqrt(3) + 151","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let b(s) = -2 - 4*s + 0 + 3. Let m(t) = -2*t**2 + 7*t + 292. Let f be m(14). Calculate b(f).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1438806373.\nAnswer: 17, 547, 154727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -189001828.4 + -0.2.\nAnswer: -189001828.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: 2.4 * -11061\nAnswer: -26546.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 0 greater than -56\/47?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_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: Expand (-2 - 3 + 2)*(4 + 1 - 3)*(3*n - 6*n - 3*n - 4*n + 6*n - n + (2 + 0 + 0)*(-n + 2*n - 3*n)).\nAnswer: 54*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose w - 18 = -2*w - 2*x, 23 = 5*w + x. Solve o - 2*c = -2, -w*c - 2 = 4*o - 30 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -3*u**5 + 2*u**4 + 8696039*u**3 + 92*u**2 + 54979*u + 3.\nAnswer: -180*u**2 + 48*u + 52176234","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: -41394 (base 10) to base 7\nAnswer: -231453","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (4 - 0)*1\/1. Let z(d) = 4*d + 9. Let k be z(-4). Let t = -10 - k. Put l, 2, t in increasing order.\nAnswer: t, 2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be ((-108)\/56 - (-256)\/128) + (158\/140)\/1. Let -s - n + 1\/5*n**3 + 2\/5*n**2 = 0. Calculate n.\nAnswer: -3, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: -269 divided by 222\nAnswer: -269\/222","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*p + 3*u - 134 = u, -3*p = -3*u + 105. Let v = p - -4. Let l = v + 29. What is the units digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(t) = -5. Let v(i) = 1. Let d(k) = 4*v(k) + z(k). Let j(l) = -12*l**2 + 24. Let q(u) = -72*d(u) - 3*j(u). Let a(f) = -2*f**2. What is q(a(p))?\nAnswer: 144*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is -7 - ((-14 - -12) + 1) - (-6 - 0)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -3 + 1. What is the third smallest value in y, -0.1, -1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 377.\nAnswer: 13, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:55 AM and 11:13 AM?\nAnswer: 558","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let a(k) = k**2 + 11*k - 12. Let b be a(-12). Suppose 0 = 4*m - b*m - 12. Suppose -m*u - u + 84 = 0. What is the tens digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 19 divide 6553?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (4 - (-5 + 4))*(-25302)\/(-5). Is (-3)\/(-48)*4 - g\/(-8) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 0 by 292920764.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify s**8*s*s**9*(s**(2\/25)\/s)\/(s**(-7)*s)*s**8\/s*(s\/s**4)\/s*(s**(-1))**46 assuming s is positive.\nAnswer: s**(-498\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let p(k) = 3*k - 39. Let m be p(19). Suppose -m*i + 1326 = -5*i. List the prime factors of i.\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 0, -56, 1, -12, 3 in descending order.\nAnswer: 3, 1, 0, -12, -56","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let q(w) = -w + 2. Give q(-7).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(88) - ((1*sqrt(88)*-3 - sqrt(88)) + sqrt(88) + sqrt(88)))\/(sqrt(128) + -2*sqrt(128)))**2.\nAnswer: 99\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from jhoofj. What is prob of sequence hjfo?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5 + -4 + 1*(sqrt(75) + sqrt(75) + 0 + sqrt(75))**2 + (5 + 1 + sqrt(75) - (1 + sqrt(75)*2)**2) + -2)*1.\nAnswer: -15*sqrt(3) + 379","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*b = -5*b + 6. Suppose 3*z + b*t - 94 + 16 = 0, 0 = -3*z - 2*t + 74. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -2*j**5 - 21012*j**3 - 3*j**2 + 4408*j wrt j?\nAnswer: -120*j**2 - 126072","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -80 = -3*u - 104 for u.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 48\/360*(-10)\/(-4)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:21 AM and 2:30 PM?\nAnswer: 669","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 243284 to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {g: 8, z: 1, o: 1, s: 1, r: 1}. What is prob of picking 1 o and 1 s?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let i(h) be the third derivative of -h**7\/7560 + h**6\/360 - h**5\/40 - h**4\/24 + 4*h**2. Let k(f) be the second derivative of i(f). Factor k(j).\nAnswer: -(j - 3)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 181 and 50137.\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 10 is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(336)\/sqrt(6)*2 + sqrt(2744)*-2)\/(-1*sqrt(56)\/(sqrt(7) + sqrt(14)\/sqrt(2)*3)).\nAnswer: 48*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let u(j) = -j**3 + 16*j**2 - 10*j - 473. Calculate u(12).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -22 + 40. Let l = w - 18. Suppose -2*b + 34 + 6 = l. What is the tens digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 71\/26680 and 73\/4470?\nAnswer: 11925960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -1 + 11 - (-9 - (16 - 1))?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k(i) be the third derivative of -i**5\/60 - 2*i**4\/3 - 13*i**3\/6 - 15*i**2. Let m be k(-15). Find l, given that 2\/11*l**3 + 8\/11*l + 0 + 8\/11*l**m = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*q**2\/3 + 25712*q\/3 + 51440\/3.\nAnswer: -4*(q - 6430)*(q + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Do 6325 and 8206 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*v - 3*v = -4. Let c = -590 + 593. Suppose -q = c*s - 1499996, v*q = 2*s - 7*s + 2499984. Round s to the nearest 100000.\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 10233 + -322?\nAnswer: 3311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 759 - 754. Suppose -x + 5*q = -141, -7*x + 453 = -4*x - w*q. What is the remainder when x is divided by 79?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 3960\/(-30)*(-6)\/8. Calculate the smallest common multiple of 6 and (-5)\/45*(-2 + -1)*w.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -60 - 7835?\nAnswer: -8005","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*g + 2171 = -1281. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 19719 and 6993?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (1\/(-1))\/(147\/(-35) + 4).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: -8370 divided by -1\nAnswer: 8370","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 602600.\nAnswer: 2, 5, 23, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 16\/(-3)*(-45)\/12. Solve 0 = k - 5, -2*y + k = 5*k - z for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*u + 4 = -t, 3*t = -2*u - 9 - 3. Let a(i) = -10*i + u*i**2 - i**2 + 11*i. Calculate a(3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -10101 - 1000?\nAnswer: -11101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 193, 405, 643, 919, 1245, 1633, 2095, 2643?\n\"Answer: 2*k**3 + k**2 + 195*k - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 c and 2 u when three letters picked without replacement from cjcjwccccccuuwjjjjj?\nAnswer: 8\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 17 + (-4 + -7 - 12) + (-7 - -3 - 3).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"}
{"text":"Question: Let c(i) = -104*i - 100*i - 103*i + 784 + 414*i - 103*i. Is c(0) a multiple of 56?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve g + 2*x - 10 = 0, -3*g - 13*x - 3 = -18*x for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(33)\/sqrt(75) + (sqrt(110)\/sqrt(2))\/sqrt(5))**2 - (sqrt(539) - 1*(sqrt(539) - (sqrt(539) + 2)))**2.\nAnswer: -13179\/25 - 28*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Work out 13.13 * 0.3.\nAnswer: 3.939","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 137539?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let p(x) = x**3 - x**2 + 1. Suppose 3*k - 11 = k + 5*q, 5 = -5*q. Determine p(k).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 654908.18 take away -0.3?\nAnswer: 654908.48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is (-9)\/6 + 305\/10 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -612, -1326, -2138, -3048?\n\"Answer: -49*j**2 - 567*j + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*b**2\/3 + 110*b\/3 + 196 = 0 for b.\nAnswer: -49, -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3 + (2*sqrt(320))**2*-4 + 3.\nAnswer: -5114","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from hngdv. What is prob of sequence dh?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 13\/2 of a millisecond in microseconds?\nAnswer: 6500","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"}
{"text":"Question: Solve -2*p**2\/5 - 272088*p\/5 - 5984968\/5 = 0 for p.\nAnswer: -136022, -22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 57575584?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -3.72 - 0.0019.\nAnswer: -3.7219","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let b(u) = 12*u - 284. Let y be b(36). Calculate the highest common factor of 222 and y.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(n) = n**3 - 2*n**2 - 4*n + 3. Let p = 5 - 4. Let i(h) = -p - h + 4 + 3. Let s be i(3). Calculate u(s).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 8 a factor of 121720?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.07, -16, 0.1, 3683, 2, -0.3 in ascending order.\nAnswer: -16, -0.3, 0.07, 0.1, 2, 3683","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {h: 5, v: 9}. What is prob of picking 1 v and 2 h?\nAnswer: 45\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 14*14*(-326)\/(-1304)?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*r - 18 = 5*b, -5 = b + 2*b + 4*r for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*d**2\/7 + 188*d\/7 + 186\/7.\nAnswer: 2*(d + 1)*(d + 93)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 46429311.\nAnswer: 3, 15476437","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve -29 = 6*d - 5 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let k(q) be the first derivative of -3*q**2\/2 - 4*q + 12. Suppose -4*u - 9 = -1. Let y be k(u). Solve 0*j = y*a + 4*j + 2, j - 7 = -2*a for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in 504, 2\/153, -1\/3, -1?\nAnswer: 504","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let v(h) = h**3 + 7*h**2 - 7*h + 9. Let j = -491 + 483. Let s be v(j). Solve 10*o + s = -19 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(u) = u + 1. Suppose t + k - 11 = 0, 2*t + 2*k = 5*k + 7. What is the lowest common multiple of t and m(1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 31\/2 of a litre?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l(j) = -4449*j + 55990. What is l(13)?\nAnswer: -1847","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Does 2 divide 80486301?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 1148386324 to the nearest integer?\nAnswer: 33888","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (2 - 5) + (-2 - -5 - -2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Does 4324 divide 457647836?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -171 - -174. Let t(x) be the second derivative of -1\/6*x**4 - x + 0*x**u + 0*x**2 + 0. Determine i so that t(i) = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2 = -6*q + 56. Let r(b) = 8*b + 3*b**2 - 2*b**2 + q - 2. Let n be r(-7). Solve m - 11 = -4*c, n = m + 6*c - 3*c - 9 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1519909.\nAnswer: 23, 66083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 1571704297 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 646, 1322, 2000, 2680, 3362, 4046?\nAnswer: 4732","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let i(o) = -o**2 - 16*o - 18. Let t be i(-12). Suppose -t = -m - m. Does 15 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(p) = 6*p + 35. Give d(-16).\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 188 is divided by 91?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Sort -9, 9, 3 in increasing order.\nAnswer: -9, 3, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 181\/187972 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.1 in -2\/17, 5, 98?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 35.8 plus -3?\nAnswer: 32.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -6 - -4. Let i(c) be the first derivative of 4*c**3\/3 - 3. Is 6 a factor of i(w)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 320 divide 200463?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -10*(-5)\/((-50)\/4).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k(h) = h**3 + 10*h**2 - 9*h - 6. Let q be k(-8). Suppose -130 = -3*p + q. Suppose -l = 3*l - p. What are the prime factors of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(b) = -4*b + 5. Let o(t) = -t + 1. Let m(n) = h(n) - 5*o(n). Let a(q) be the first derivative of -q**2\/2 - 8. Calculate a(m(l)).\nAnswer: -l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 102 minutes before 4:30 AM?\nAnswer: 2:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 2028964573?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 1807 and 208.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -3 - -7. Let w = 6 + -1. Let d = w - 0. What is the smallest value in 0.4, d, g?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 l when two letters picked without replacement from yqyllqycqtllqqyqqyqq.\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(448) + -3*(sqrt(448) + 0))**2 + (-4*(sqrt(448) + 1))**2 + -1)*1.\nAnswer: 256*sqrt(7) + 8975","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let x(p) = p**3 + 12*p**2 + 8*p - 4. Let n be x(-11). Calculate the highest common divisor of 261 and n.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -453, 2\/7, 0, -5, 2\/3.\nAnswer: -453, -5, 0, 2\/7, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 2 - (11 + -8) - ((2 - 5) + -44)?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -4 divided by 3950?\nAnswer: -2\/1975","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let n(v) = v**3 + 7*v**2 - 9*v. Let o be n(-8). Let p(b) = 5 + 4 - 3 - 9 - 3 + 7*b. Calculate the remainder when p(o) is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -57 = 5*u + 4*b, -5*u - b = 1453 - 1390 for u.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: ((-2)\/(-12))\/(10\/15*(23\/(-5612))\/(-1))\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (6\/(-24) - -1)*(-52)\/(-117). What is the nearest to i in 1\/4, 2\/5, 7?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -19 + -16 + 36 + -30?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 35518, 71051, 106584, 142117, 177650, 213183?\n\"Answer: 35533*p - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.5 times 41009321?\nAnswer: 20504660.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Sort 87, -15746, 10, 5 in increasing order.\nAnswer: -15746, 5, 10, 87","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) 23733  (b) -2556  (c) -2\/11  (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -20*d = -26*d - 2088. Let t = 587 + d. What is the tens digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1 + -5*1*sqrt(468) + ((sqrt(1573) + -1)*-2 + 2)**2.\nAnswer: -206*sqrt(13) + 6307","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 600660501?\nAnswer: 3, 7, 53, 539677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is -4\/40941 at most 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 3751 and 484?\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12*a + 18*a - 132 = 0. Let h(u) = u**2 - 21*u. What is the lowest common multiple of 2 and h(a)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-8*p + p - 8*p + (1 - 6 + 3)*(2 - 2 + 2*p) - 17 - 13*p - 23 + 43)*(-p - p + 4*p).\nAnswer: -64*p**2 + 6*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 121\/60298 and 19\/4642946.\nAnswer: 4642946","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (z*z**(-5)\/z)\/((((((((z**(-2\/3)\/z)\/z)\/z)\/z)\/z)\/z)\/z*z)\/z*z)*(z*z**(-1\/5)\/z)\/z*z\/((z*z*z**(-1\/3)\/z)\/z) assuming z is positive.\nAnswer: z**(9\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 0.2644 - 0.1541. What is g rounded to 2 dps?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -455331 - -2443?\nAnswer: -452444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose l**5 - 8 + 10*l**4 + 10*l**3 + 12*l**3 - 5*l - 8*l**3 - 11*l - 2*l**2 + l**5 = 0. Calculate l.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*h + 8 = 4. Which is bigger: h or 0?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-5*b + 2*b + 5*b)*(-160*b - 112 - 97 + 210) as n*b + i*b**2 + r and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((b**1\/b*b)**(-21))**(-35)\/((b\/(b*b**(1\/6)))\/b*b\/(b\/b**(-7)*b)*(b**(1\/3))**37) assuming b is positive.\nAnswer: b**(4391\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 236, 432, 628, 824, 1020?\n\"Answer: 196*y + 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: 6 (base 14) to base 8\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -221863*a**2 + 120663*a**2 + 2 - 164645*a**2 + 2.\nAnswer: -265845*a**2 + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 239586437?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -242109\/38740 + -4\/9685. Calculate the common denominator of h and 35\/2832.\nAnswer: 2832","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(w) = -10*w**3 - 3*w**2 + 5*w - 2. Let t(s) = -25 + 11 + 6*s - 20*s**2 + 16*s**2 - 11*s**3 + 12. What is 6*m(a) - 5*t(a)?\nAnswer: -5*a**3 + 2*a**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: 3 (base 14) to base 3\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: -34125222 (base 6) to base 13\nAnswer: -2a45a7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -245 - 0?\nAnswer: -245","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -25729, -25742, -25769, -25816, -25889, -25994, -26137?\n\"Answer: -b**3 - b**2 - 3*b - 25724","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 426 and 241613284?\nAnswer: 724839852","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 5953 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 26015886 a multiple of 117?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: -0.5 times 0.0892\nAnswer: -0.0446","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 628824, 628817, 628810, 628803, 628796, 628789?\nAnswer: 628782","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Do -11904\/1123 and -11 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1\/3?  (a) -3  (b) 1  (c) 0.058  (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -5933826, -11867670, -17801514, -23735358?\nAnswer: -29669202","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Convert 3011 (base 10) to base 8.\nAnswer: 5703","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t(j) = 3*j**2 + 48*j - 55. Calculate t(3).\nAnswer: 116","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ayiucyyaaca. Give prob of sequence ycy.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 3 in -11, -0.1, 425084?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is (1120\/2400)\/(24\/180)?\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 0.6599625 + -0.66. What is n rounded to five decimal places?\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: -196ecd (base 15) to base 2\nAnswer: -100101110011001000001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4*-1*(-3 + sqrt(425)*3)*-3*-4 + 3)**2*-4.\nAnswer: -35337636 + 846720*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 23 + 3. Let u = 30 - y. Let c be 26\/8 - (-3)\/u. Let o(v) = v**3 - 3*v**2 - 4*v - 1. Calculate o(c).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(n) be the first derivative of -n**7\/7 + 41*n**5\/5 + 482*n**3\/3 + 153. What is the third derivative of r(y) wrt y?\nAnswer: -120*y**3 + 984*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -2950.79 rounded to the nearest one thousand?\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -402 - -402.000593. Round j to 4 dps.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(r) = -4*r + 5. Let t(u) = u - 1. Let n be (-1584)\/(-264)*3\/6. Give n*t(l) + f(l).\nAnswer: -l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve -179*v = -479*v + 2071 + 2429 for v.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*q - 20 + 35. Solve -5*y = -q + 8 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 311*m = 59*m - 164*m - 114*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let m(i) = -18*i**3 - 4*i**2 + 2*i - 1. Let p be m(-4). Suppose -p - 353 = -8*k. Is 41 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(w) = -w**3 + 6*w**2 - 3*w - 6. Let c = 29 + -29. Suppose c = -3*a + 4*k + 35, 0*a - 5*a = 5*k. Let m be i(a). What is the biggest value in -1, m, 5\/2?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in z**3 + 97124986*z - z**2 + z**2 - 5*z**3 - 97124986*z.\nAnswer: -4*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-35)\/(45570\/(-56)))\/(32\/(-24))?\nAnswer: -1\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*l + l + 4 = 0. Suppose l*g - 177 = 85. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(y) = -5*y**2 - 19*y. Let q be w(-4). Suppose -15 = m - 10. Let u(s) = -s**2 - 8*s - 9. Let v be u(-6). What is the biggest value in v, q, m?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 7 a factor of 19677?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 48349, 48483, 48617?\n\"Answer: 134*u + 48215","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 9694 is divided by 66?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let x be -13 - -2 - (-9)\/3. Let w(t) be the first derivative of t**3\/3 + 7*t**2\/2 - 5*t - 3. Let g be w(x). Solve -2*m - 4 = 3*b - g*m, -b - 5*m + 4 = 0 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(h) = -h**3. Let q(x) = -3*x**3 + x + 13*x**3 + 0*x**3. Let o(w) = -q(w) - 6*s(w). Give o(-1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*o - 280 + 1285 = 0. Let z = 356 + o. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2 minutes before 1:38 AM?\nAnswer: 1:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence lll when three letters picked without replacement from {y: 1, m: 4, p: 2, l: 3}.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0 in -5, -1, -3.4, -3\/7?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 35 - 3764521836740.\nAnswer: -3764521836705","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve -13285059 + 13288854 = 69*s for s.\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 891 a factor of 2332250?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -14*r + 25 + 3. Suppose -86 + 96 = r*m. Solve 0*h - 2*o = h - 2, m*o + 21 = 4*h for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sum -1445107.6 and 2229.7.\nAnswer: -1442877.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-153 - 112 + 162)*(-29*t + 11 + 62*t - 35*t).\nAnswer: 206*t - 1133","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let m(q) = -q**2 + 18*q - 52. Let t be m(4). Suppose -y = y + t*y. Which is the third biggest value?  (a) -3  (b) 9  (c) y  (d) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (b**0*b)**(-46)\/(b*b**(-1)*b)**(2\/11) assuming b is positive.\nAnswer: b**(-508\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let a(i) = i**2 + 20*i + 35. Let z be a(-19). Let f(q) = 9*q**2 + 19*q - 42. Is f(z) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"}
{"text":"Question: Sort 5, 1, -12 in decreasing order.\nAnswer: 5, 1, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 825760 to the power of 1\/7, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -22 + 0 - (14 + -26 + 99 + -18).\nAnswer: -91","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 3, -5, -12\/79, -395, -0.4?\nAnswer: -12\/79","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 2510 to the power of 1\/2, to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 63 minutes before 9:14 PM?\nAnswer: 8:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -2381986, -2381994, -2382012, -2382046, -2382102, -2382186?\n\"Answer: -m**3 + m**2 - 4*m - 2381982","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 220.00000412 - 220. Round t to six decimal places.\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is j in -j**3\/4 + 9*j**2 - 405*j\/4 + 675\/2 = 0?\nAnswer: 6, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let p(a) be the third derivative of -5851*a**4\/4 - 62*a**3\/3 + 111*a**2. Let b be p(46). What is b rounded to the nearest 100000?\nAnswer: -1600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -635, -1256, -1851, -2408, -2915, -3360?\n\"Answer: 2*b**3 + b**2 - 638*b","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 938?\nAnswer: 2, 7, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-5)\/(0 + (-1)\/8). Suppose 4*y + 5*u = 4*u + 50, 3*y + 2*u - x = 0. Suppose -10*i = -9*i - y. Is i a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-4)\/(-10) + (-172)\/(-20). Solve 2*f - n = h, 5*f = 5*n + 40 - 15 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 14*l**2 - 18 + 88 + 6*l**2 with respect to l.\nAnswer: 40*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-3286)\/159 - -21)*3\/(-8)*2.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:28 AM and 12:14 PM?\nAnswer: 586","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let a(t) = 96*t**2 + 16*t - 26. Let o be a(4). Suppose 3*m = 6*m, z - o = 5*m. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1222.\nAnswer: 2, 13, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let z(i) = i**2 + 7*i + 10. Determine z(-7).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*v + 4*l = -8, -v - 1 = l - 3. Let p = 608 - 605. Solve 3*h = 5*j + 25, -v*j - p*h + 0*h - 10 = 0 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be ((-64)\/56)\/(4\/(-14)). Suppose -g*u - 2*q + 23 = -243, -4*u - 3*q + 265 = 0. What are the prime factors of u?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: -179 divided by 485\nAnswer: -179\/485","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 17789072849 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 38 = q - 2. Let j = -47 + 107. Calculate the greatest common divisor of q and j.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -25814 - -258227\/10. Let z(a) = a**2 + 9. Let n be z(-9). Calculate the common denominator of 2\/5 + 879\/n and u.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 5 + -14726196?\nAnswer: -14726191","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4 - 10 + 6 + 8*o**2.\nAnswer: 8*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let v(g) = -g**2 + 8*g - 1. Let q be v(7). Suppose 0 + 3 = -3*u. Let f be -1*(2 + u) + 10. Solve -f = 3*r - q*r for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 462*f + 1413 with respect to f.\nAnswer: 462","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 g and 1 h when two letters picked without replacement from hghhhghh.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 - 5 + 4)*(222 + 36*g - 222)*(0*g + 4*g - g).\nAnswer: 216*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 96 - -2b5?\nAnswer: 37b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let p(k) be the third derivative of k**5\/30 + k**4\/12 + k**3\/6 + k**2. Let n be p(-1). Differentiate 2*l + n - 2*l + 3*l**2 wrt l.\nAnswer: 6*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(f) = -2*f**2 + 55*f + 34. Let k be n(28). Suppose k*m + 20*m = 104. Solve -4*u - m*u - 8 = 0 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(y) = -y**2 + 9*y + 5. Calculate p(8).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -78481, -78490, -78505, -78526, -78553, -78586?\nAnswer: -78625","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:18 AM and 11:03 AM?\nAnswer: 585","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Divide -837700 by 8377.\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let l(z) be the third derivative of 23*z**5\/120 - z**4\/8 - z**3\/6 - z**2. Let f(g) be the first derivative of l(g). Let y be f(2). Round y to the nearest 10.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 - 1 + 5)*(5*r**3 + r**3 - 5*r**3) + (9*r**2 + 2*r**2 - 5*r**2)*((2*r - 4*r + 3*r)*(-3 + 1 + 3) + 3*r + 0*r - r) + 4*r**3 - 4*r**3 + 2*r**3.\nAnswer: 22*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 36708122891 + -340.\nAnswer: 36708122551","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (126\/(-27))\/((6\/15)\/(48\/(-40))).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(w) = 8*w**2 + 6*w + 6. Let r(n) = -14*n**2 - 11*n - 9. Let d(t) = -5*g(t) - 3*r(t). Let x(k) = k**3 + k**2 + k - 1. Give -d(b) + 3*x(b).\nAnswer: 3*b**3 + b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -110 - -113. Solve h + 17 = 5*l for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*u**3\/11 - 2*u**2\/11 - 188*u\/11 - 32.\nAnswer: 2*(u - 11)*(u + 2)*(u + 8)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Sort 9, -2, 1, -16, 0 in decreasing order.\nAnswer: 9, 1, 0, -2, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let i(u) = u**3 + 21*u**2 - 45*u + 28. Let b be i(-23). Suppose -b = -3*z - 17. What is the tens digit of -3*(-25 - z)\/3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -1\/5531 + 11065\/16593. Solve f*d**2 + 44\/3*d + 14 = 0 for d.\nAnswer: -21, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 0 or -3\/7622291?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4 = k - 6. Let u(q) = q**3 - 17*q**2 + 31*q - 13. Let r be u(15). Solve 1 = 3*m - k*a - r, -2*a - 6 = -4*m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-72)\/4 + 2 + -4. Let b be ((-105)\/r)\/((-3)\/(-8)). What is the greatest common factor of 126 and b?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*u = 2*p - 74, 9*u - 4*u - 4*p - 62 = 0. Suppose 5 = l - u. List the prime factors of l.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*o = -y - 10, 123 - 129 = -3*o - y. Solve 29 - 7 = -o*w - 5*v, -2*w + 14 = -4*v for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 8*v + 0*v + 12*v + 6*v in the form r + n*v and give n.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: 101010020032 (base 4) to base 7\nAnswer: 53010601","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: 55596 divided by 55596\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1164*d + 28196 = -1696*d for d.\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 30*h = -5*h - 70 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 t, 1 r, 1 y, and 1 x when four letters picked without replacement from {x: 1, f: 1, t: 2, r: 2, m: 1, y: 1}.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 71617837 is divided by 341?\nAnswer: 335","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: -0.597*93\nAnswer: -55.521","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 2654, 22, -2612, -5248?\nAnswer: -7886","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 2 + -1f?\nAnswer: -1d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is (9\/12)\/(-3)*(1645 + -2005)?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4*f - 3*f - 2*f)*(7 - 14*f + 26*f - 2*f) + 2*f**2 + f**2 - 4*f**2.\nAnswer: -11*f**2 - 7*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2913 is divided by 265?\nAnswer: 263","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -2\/9, -4.7, -9\/8?\nAnswer: -9\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let q(f) = 141*f - 2257. Let j be q(16). Suppose 2*c + 3*m = -19, 3*c + 5 = 5*m + 24. Let x be c\/4*3\/6. What is the nearest to x in -0.4, 2\/7, j?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -274, -3777, -13548, -32803, -64758?\nAnswer: -112629","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: 2 divided by 69\nAnswer: 2\/69","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let c(n) = 4*n + 5. Let t be c(9). Let s = t + -17. Let a(q) = -s*q - 18*q + 42*q + 6*q**2. Let i(o) = -2*o. Calculate i(a(p)).\nAnswer: -12*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5*(sqrt(68)\/sqrt(32) - sqrt(34))\/sqrt(2)*-2.\nAnswer: 15*sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -2643558, -5287060, -7930508, -10573896, -13217218, -15860468, -18503640, -21146728?\n\"Answer: m**3 + 21*m**2 - 2643572*m - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:53 PM and 6:55 PM?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3*(-2 + sqrt(180) + 3 + 2 + sqrt(180) + -2 + sqrt(180)))**2.\nAnswer: 324*sqrt(5) + 14589","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: How many grams are there in 444937.3 milligrams?\nAnswer: 444.9373","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -332*w**4 - 97070*w**3 - 228502*w**2 + 173360*w - 17400 = 0. What is w?\nAnswer: -290, -3, 10\/83, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {k: 7, c: 2, j: 4}. What is prob of picking 1 j and 1 k?\nAnswer: 14\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -92 - -151. Let y = w - 32. What are the prime factors of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -929 = -2*k - 9. Let v(a) = a**2 + 13*a - 9. Let l be v(-14). Suppose 0 = -l*y - 4*u + 581, 2*u = -3*y - y + k. What is the tens digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -7*k = 10*t - 10*k + 140, 4*k - 56 = 4*t for t.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*q + 87 = 5*u, 4*u + 5*q - 7*q = 54. Calculate the greatest common divisor of u and 1185.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 122 is divided by 35?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 240002668?\nAnswer: 2, 17, 3529451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let k be -11*(-3)\/33*2. Suppose -p = 2*s - 39, 0 = -39*p + 34*p - k*s + 155. Let t(c) = 57*c**2 + 2*c + 1. What is the remainder when t(-1) is divided by p?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 33864 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 1662, 6660, 14986, 26640, 41622, 59932?\nAnswer: 81570","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 90 minutes before 3:17 AM?\nAnswer: 1:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let w(y) = y**2 + 3*y - 7. Calculate w(3).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: How many centimeters are there in 0.4511473 nanometers?\nAnswer: 0.00000004511473","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, 49, 4, 2 in ascending order.\nAnswer: 2, 3, 4, 49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is -1.5502632 rounded to two decimal places?\nAnswer: -1.55","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let z(f) be the third derivative of -186*f**2 + 0 + 0*f + 59\/20*f**5 - 23\/12*f**4 + 1\/6*f**3. Find the second derivative of z(r) wrt r.\nAnswer: 354","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(m) = -8*m**2 + 36*m + 43. Let h be v(20). Let z = h - -4079. List the prime factors of z.\nAnswer: 2, 821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are 1 and 12\/199 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 5 divided by 5210?\nAnswer: 1\/1042","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*a - 4*j = -0*j - 660, 4*a - 2*j - 902 = 0. Let r = a - 90. Suppose 3*w = 0, -5*g + 16 + r = -4*w. Calculate the remainder when g is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose q + 2*a = 77, -3*q - 100*a = -104*a - 181. Calculate the remainder when q is divided by 8.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(t) = 10*t - 7. Determine o(-4).\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -11.69 + 0.09. Let s = 0.6 + x. Let a = 2284\/3 - 761. What is the closest to a in -0.3, s, 4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -1, -7, 2 in descending order.\nAnswer: 2, -1, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 94147062266 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 8 (base 10) in base 13?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 72 and 576.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Find m, given that 416*m**2 + 201*m**3 + 4*m**4 + 6*m + 6*m - 117*m**3 - 12*m = 0.\nAnswer: -13, -8, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.264529 weeks in microseconds?\nAnswer: 159987139200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 134\/(-3)*-8 + (-6)\/18. Suppose 0 = 5*k - 5*v - 210, v + 23 - 149 = -3*k. Calculate the greatest common factor of k and r.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*i**3 + 3*i**3 - 7*i**3)*(4 + 0 - 1)*(24 - 23 + 21)*(126 + 8 - 22)*(4 - 2 - 1) - 2*i**3 - 2*i**3 + 3*i**3.\nAnswer: -14785*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 750465, 750464, 750463, 750462, 750461, 750460?\n\"Answer: -m + 750466","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Put 13, 5, 9, 2 in descending order.\nAnswer: 13, 9, 5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -3.1 + 3. Let o = -7.7 - 1.3. Let k = -9 - o. What is the closest to y in k, 1, -1?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(n) = -2*n - 2. Let v be d(-3). Suppose 65 = v*k - 3*g, k + 0*g + g - 18 = 0. What is the units digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -42 + 23 + 19 - 5299*p.\nAnswer: -5299*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*b - 11 = -9*b + 3*r, -b + 4*r = -6. Let v = -8 + 19. Factor -v - b*s**2 + 10*s + s**2 - 10 - 4.\nAnswer: -(s - 5)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(r) = -r. Let q be k(3). Let x be 3\/6*3*(-20)\/q. Calculate the common denominator of 146*5\/30*(-1)\/x and -76\/33.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -5056*m**3 + 2661*m**3 + 2521*m**3.\nAnswer: 126*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 96 and 249288?\nAnswer: 997152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -737, -929, -1157, -1421?\n\"Answer: -18*a**2 - 138*a - 581","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {d: 1, h: 1, x: 1, b: 1, u: 1}. What is prob of picking 1 d, 1 b, 1 x, and 1 u?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve -746*s = -0*m + m - 742*s + 32, 2*m - 5*s - 53 = 0 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 813227269 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: (-34258)\/(-359709)*(-2)\/(40\/7)\nAnswer: -1\/30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((f**(-6)\/f*f)\/f**(-2\/5))**(16\/3) assuming f is positive.\nAnswer: f**(-448\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((f\/f**(-3))\/(f*f\/(f\/f**6)))**(-6\/11)*(f*f**(2\/3)*f)**(-30)\/((f**(-2\/7)\/f)\/f*(f**(-1\/2)\/f)\/f) assuming f is positive.\nAnswer: f**(-11331\/154)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 361572.\nAnswer: 2, 3, 29, 1039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*x**2\/7 - 33060*x\/7 + 30531878\/7.\nAnswer: -2*(x - 877)*(x + 17407)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 21\/28 - 265\/(-20). What is the smallest common multiple of 45 and (-25)\/(49\/m + -4)?\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, -36, -4671 in descending order.\nAnswer: -5, -36, -4671","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 73011*f - 170109 wrt f.\nAnswer: 73011","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -40 + 112. Let y be ((-2)\/(-6))\/(4\/f). Solve -4*n - y = -n - 3*i, 4*n = 3*i - 4 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(v) = -4*v**3 - 2*v + 1. Let z(b) = 3*b**2 + b + 2. Let j be z(-3). Let r = -25 + j. What is t(r)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 13\/4 of a tonne in kilograms?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {x: 2, u: 7, n: 3, m: 2, e: 3, a: 1}. What is prob of sequence eax?\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 186804246 divided by -31134041.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let q(u) = u**2 + 32*u + 190. Calculate q(-9).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 1851b2 - 2b1?\nAnswer: 184d01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 163242777 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let b(d) = 3*d**3 + d**2 + 6*d + 1. Let m be b(-5). Let a = 685\/2 + m. Calculate the common denominator of -36\/11 and a.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -1\/2 at least as big as 2551?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (t\/(t*t**3))\/t**(2\/7)*(t\/(t*t**(-2\/3)))**(-21) assuming t is positive.\nAnswer: t**(-121\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 35510589?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(15)\/sqrt(3)*3 + (3*sqrt(45))\/sqrt(9))**2 - ((sqrt(5) - (sqrt(45)\/sqrt(3) - sqrt(15))\/sqrt(3))**2*-3 + 4).\nAnswer: 191","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let q(c) = -2*c**3 + 37*c**2 + 13*c + 7. Let p be q(19). Sort -0.2, -5, p, 3.\nAnswer: p, -5, -0.2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -b = v + 2*v - 24, -2*b = -v - 27. Calculate the greatest common divisor of b and 165.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 152 - 157. Let z(v) = -v**3 - 9*v**2 - 3*v + 1. Let f(t) = -2*t**3 - 17*t**2 - 7*t + 2. Let g(b) = 3*f(b) - 5*z(b). Calculate g(u).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.9?  (a) 2\/13  (b) -2  (c) -9\/7  (d) 0.01  (e) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 502838 divided by -7?\nAnswer: -71834","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let d(q) = 593*q**2. Let o(w) = -1399*w**2 + 5. What is o(d(u))?\nAnswer: -491956951*u**4 + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (4 + -9)*(-24)\/210.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 9877 is divided by 1971?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Put -3, 1\/7, -1 in decreasing order.\nAnswer: 1\/7, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from xxfxsmxfxxxmkgkxm. Give prob of picking 1 k and 1 x.\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let f(z) be the third derivative of -z**5\/60 - z**4\/24 - 2*z**2 - 717*z. What is f(6)?\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*t - 20 = 0, -d + 4*t + 16 = 4*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 2574942 a multiple of 46?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -1.1466 - 1.7523. What is p rounded to 0 decimal places?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((i**(-3)\/(i*i**(-5\/4)*i*i))\/((i\/i**(-4\/7))\/(i**(2\/11)\/i)))**(-3\/47))**(-48) assuming i is positive.\nAnswer: i**(-79164\/3619)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let p(a) = 18*a. Let o(l) be the first derivative of 13*l**2\/2 - 132. What is p(o(w))?\nAnswer: 234*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose g**4 + 130*g**3 - 263*g**2 + 132*g = 0. What is g?\nAnswer: -132, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Convert 244246 (base 15) to base 13.\nAnswer: 489ab0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g(y) = -14*y**3 - 3*y**2 - 80*y + 173. Determine g(2).\nAnswer: -111","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(98)*-1 + 4 - ((sqrt(288) - (sqrt(288) + 1*sqrt(288) + sqrt(288))) + 0)**2.\nAnswer: -1148 - 7*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 105*o - 2*v + 38 = 100*o, 2*o + 21 = -18*v + 31*v - 18*v for o.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1 or 2136002?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(133) - (sqrt(133) + (sqrt(133) - (sqrt(133) + -1*sqrt(133)*2 + sqrt(133))) - sqrt(133)))*-1)\/(sqrt(21)\/(sqrt(15)\/sqrt(125))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let d(g) = -g**3 - 10*g**2 - g - 14. Let c be d(-10). Let p = 3 - 6. Sort p, c, 5 in decreasing order.\nAnswer: 5, p, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2*q - 863535602 + 863535602 + 2*q**2.\nAnswer: 2*q**2 - 2*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 1011111011001101100111 + -10111?\nAnswer: 1011111011001101010000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 20*k - 11*k - 36 = 0. Which is bigger: k or 0?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3 + -5*((sqrt(1377) + (6*(sqrt(1377) - (2 + sqrt(1377))))**2 - sqrt(1377)) + (sqrt(1377) - (sqrt(1377) - (sqrt(1377)*-4 + 5))**2))*-2.\nAnswer: -343063 + 4590*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (51 - 70) + (-33)\/(-1).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 5853 + -5851. Let p(v) be the second derivative of 0*v**4 + 23*v + 0*v**3 + 13\/10*v**5 + 0 - h*v**2. What is the first derivative of p(q) wrt q?\nAnswer: 78*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(51)\/sqrt(48) + (sqrt(17) + 1)*-5.\nAnswer: -19*sqrt(17)\/4 - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -1 and 307.519450538?\nAnswer: 308.519450538","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is -1166672.96 rounded to the nearest one hundred thousand?\nAnswer: -1200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 2235 + 5051?\nAnswer: 10316","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -28*k + 124*k + 349*k - 4895 = 0. Solve 25*c + 112 = k*c for c.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -3, 12174961, 10 in decreasing order.\nAnswer: 12174961, 10, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Find b such that -2*b**3 + 576756910*b**2 - 1153513814*b + 576756906 = 0.\nAnswer: 1, 288378453","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 25 + -7. Let l be (c + 0)*7\/(-14). What are the prime factors of (-2)\/(4\/l)*2?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -z + 1 = -3*m, -29*z + 4*z = -m + 93 - 192 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6 = -483*a + 485*a for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let m(x) = 4 + 0*x**2 + x + 47*x**2 + 32*x**2. What is the tens digit of m(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-1225)\/196)\/((-30)\/(-24))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence es when two letters picked without replacement from gsiiiggibisiegiii.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let h(w) = w**2 - 3. Let t(k) = -1. Let q = 0 + 1. Let g be 4 - (-2)\/(q + -3). Give g*t(u) - h(u).\nAnswer: -u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let d(h) = 2*h - 6. Suppose s + 17 = 2*q, -2*s = -5*q - s + 35. Give d(q).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -9509, -9116, -8707, -8276, -7817, -7324, -6791?\n\"Answer: j**3 + 2*j**2 + 380*j - 9892","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (0\/(-2))\/(-2 - -1). Let l be 2 + (-3 - (-9)\/6). Let o = s + l. Is o not equal to 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -3.8 + 0.8. Sort -2\/7, d, 4 in ascending order.\nAnswer: d, -2\/7, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(s) = s**2 - 8*s + 9. Let v be p(4). Let d(y) = y**2 + 6*y - 7. Calculate d(v).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(26)\/(sqrt(2) - -1*sqrt(2)) - sqrt(13)) + 3*sqrt(325))**2 + 1 + (sqrt(143) + 4*1*sqrt(143) + sqrt(143))\/(sqrt(11)*-1*-5).\nAnswer: 6*sqrt(13)\/5 + 10937\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 668*v - 728*v + 120 = 0 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -510*a**2 - 11*a**3 + 510*a**2.\nAnswer: -11*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Round 7397.346 to the nearest ten.\nAnswer: 7400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -229*r = -242*r + 39. Solve 4*q = 4*x - 16, r*x - q = 4*x + 2 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -120, -108, -96, -84, -72?\nAnswer: -60","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 1759 (base 10) in base 8?\nAnswer: 3337","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -2137880*a**4 + 814480 with respect to a.\nAnswer: -8551520*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -4.06 + 0.06. Let p = i - -3.75. What is p rounded to 1 decimal place?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(x) = 2*x**2. Let b(p) = 17121*p**2. Calculate b(j(d)).\nAnswer: 68484*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let z(l) = -2*l**2. Suppose -6*i + 18 = -24. Let m(g) = 3*g - 3. Let u(y) = -y**2 - 2*y + 2. Let o(x) = -2*m(x) - 3*u(x). Calculate i*z(d) + 5*o(d).\nAnswer: d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Find i, given that -3*i**2 - 7332*i = 0.\nAnswer: -2444, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 18\/(-720)*-410 + -10. What is the closest to k in 8, 8\/3, 11?\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 1.628 and -0.05?\nAnswer: -0.0814","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5*(sqrt(25)\/sqrt(5)*-2)**2 + -3 - ((sqrt(500) + 2)*2 + -5)) + 4 + -1.\nAnswer: -20*sqrt(5) + 101","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Do -4.05 and 55 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let m(h) = -13*h**2 - 15*h - 289. Determine m(10).\nAnswer: -1739","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 38700 rounded to the nearest 1000?\nAnswer: 39000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ff when two letters picked without replacement from {f: 7, j: 1}?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 469819\/50 + -9396. Let j = -3\/25 - a. Let p(q) = -q + 2. Let h be p(6). What is the second smallest value in h, -5\/2, j?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 35\/8 and (-963)\/36*4\/6.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 36, -4, 438, -70 in descending order.\nAnswer: 438, 36, -4, -70","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 47677 - 4*g**2 + 16*g**3 - 23833 - 23814.\nAnswer: 16*g**3 - 4*g**2 + 30","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 24 - 605e?\nAnswer: -603a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1450352422?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let j(u) be the third derivative of 1\/15*u**5 + 0 + 0*u + 1\/3*u**3 + u**2 + 5\/24*u**4 + 1\/120*u**6. Factor j(t).\nAnswer: (t + 1)**2*(t + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*c - 7*c = -36. Suppose 0 = 2*b - c. What is the units digit of b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*s - 5*f = -11898, 0 = s + f + f - 5950. Suppose 31*n - 20400 = -s. What is the remainder when n is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 8250 and 750?\nAnswer: 8250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Express 6*p**2 - 9*p**2 - p**3 - 27*p**2 + p as l + i*p + v*p**2 + a*p**3 and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3 + 1 + 3)*(-v**4 + 5*v**4 - 2*v**4) + 36*v**2 - 4*v**4 - 36*v**2 + (36 - 30 + 12)*(-v**2 - 2*v**4 + v**2).\nAnswer: -38*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {u: 5}. What is prob of picking 4 u?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 1 + 2*x**2 - 1 + (3 + x - 3)*(2*x - x + x) + x**2 + x**2 - 3*x**2 + x**2 + 2*x - 2*x - 234*x + 10*x**2 + 234*x to r*x**2 + n*x + p and give r.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Round 1634684.693 to the nearest 10000.\nAnswer: 1630000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 105.44 + -105.311. What is the nearest to 0 in u, -5, 5\/3?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find p, given that -5*p**2 + 27869410*p - 445909280 = 0.\nAnswer: 16, 5573866","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let v(o) be the second derivative of 9*o**4\/4 + o**3\/2 + 3*o**2\/2 - 3*o. Let z be v(-2). Suppose -8*k = -3*k - z. List the prime factors of k.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: 44.65878 - -6\nAnswer: 50.65878","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let l(x) = x - 7. Let m be 2\/15 - (-28)\/(-210). Let b be (-1 - m)\/((-114)\/(-30) - 4). Calculate l(b).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sum -0.02 and 82012.\nAnswer: 82011.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let w(n) = -418*n**2. Suppose 2*y = 5*g + 7, 455*y - g - 5 = 454*y. Let t(h) = 19*h**2. Determine y*w(v) + 133*t(v).\nAnswer: 19*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1 in 4, -3, -85.2, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 22*o - 17*o = -30. Let f = o - -11. Solve 4*h = -h + f for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(z) = z + 15 - 15. Let n be s(7). Solve n = 3*o - 2 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 60 + 2?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 2909 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 the product of -3 and 325?\nAnswer: -975","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -0.3 + 0.5. Let d = -0.11 - 5.89. Let s = d + 2. Which is bigger: s or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 7 divide 154?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 16*r - 307689 + 61945 = 0. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: -2 divided by -35986429\nAnswer: 2\/35986429","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 16*m - 14*m = 46. What is the remainder when 44 is divided by m?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of (-4)\/4 - (-1024 - -4).\nAnswer: 1019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(p) = -340*p**2 + 2043*p - 16. Let z be n(6). Factor -10\/7*j + 2\/7*j**z + 8\/7.\nAnswer: 2*(j - 4)*(j - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 3879\/5 + -787. Calculate the common denominator of s and 77\/50.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from dyydjwjjdwydyjwdddy. What is prob of sequence ww?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: (-88)\/14 - (-4 - 2)\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: 8889+4308\nAnswer: 13197","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 1600 a multiple of 43?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*q**4 - 24*q**3 - 27*q**2 = 0.\nAnswer: -1, 0, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 3161 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 110 minutes after 9:02 AM?\nAnswer: 10:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -342 + 402. Let j be 128 + -4 + 1 + 2. Let w = j - q. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-1)\/(2\/(-144 - 2)). Suppose 4*l = 63 + c. Suppose 4*b = 3*s - 31, 0 = -3*b - 1 - 2. What is the remainder when l is divided by s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 60423454 to the power of 1\/9, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((d**(1\/14)*d)\/d)\/(d*d*((d\/d**(-2\/95)*d)\/d)\/d*d))**30 assuming d is positive.\nAnswer: d**(-11769\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 840\/(-672) + (-693)\/(-4) is divided by 104.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -47120 (base 11) in base 10?\nAnswer: -68024","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 1135 - 769. Let r be (-10)\/(-1)*23\/2. Let f = x - r. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 9 (base 10) to base 3.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*f**3\/3 + 24*f**2 - 80*f - 800\/3.\nAnswer: -4*(f - 10)**2*(f + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand -a**3 + 5*a**3 - 2*a**3 + (-a**2 + 2*a - 2*a)*(-3 + 3 - 2*a) + 0 + 0 - a**3 + 306*a + 2*a**2 - 306*a + 2*a**3 - 7.\nAnswer: 5*a**3 + 2*a**2 - 7","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-90)\/(-36)*202\/10*62. Suppose 44*i - 75*i + j = 0. Does 2 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(w) = -7*w + 2*w**2 + 2*w**2 - 5 - 3*w**2. Suppose 15948 - 20372 = -632*u. Calculate d(u).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 62656.\nAnswer: 2, 11, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*b - 49 = 5*z, 7*z + 5*b + 43 - 48 = 0 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let w(q) = 3*q**2 + 3*q. Let c be w(-3). Let r = c + -36. Let t = -6 - r. What is the tens digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -18, -27, -36?\n\"Answer: -9*a - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 f and 1 j when two letters picked without replacement from pppppppjppybpppfpfp?\nAnswer: 2\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -3473309 + 4956045. Let w = o + -1482762.99974. Let u = 27 + w. What is u rounded to 4 dps?\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -153 or -105?\nAnswer: -105","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let v(q) be the second derivative of q**6\/10 - 21*q**5\/10 + 73*q**4\/4 - 84*q**3 + 216*q**2 + 2176*q. Factor v(i).\nAnswer: 3*(i - 4)**2*(i - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -1 + 5 + 2 + (-9 - (-116 - (29 - 44))).\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -122*k - 307 = 913 for k.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 86*r - 78*r - 5*s = 75, 0 = -2*r - s + 21 for r.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 12814457 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand (77666 - 474*l**2 - 77666)*(-1 - 1 + 0).\nAnswer: 948*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let p(j) = -2*j**2 - 41*j - 33. Let f be p(-19). Calculate the highest common divisor of 42 and f.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(t) = 22*t + 170. Let h(k) = -7*k - 56. Let s(m) = -16*h(m) - 5*y(m). Let u(w) = 3*w**2. Determine s(u(o)).\nAnswer: 6*o**2 + 46","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is -2183 plus -7182?\nAnswer: -9365","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let v(q) = -70*q + 1. Let f(u) = 19*u**2 - 10*u - 30. Let z(o) = -6*o**2 + 3*o + 9. Let n(t) = -3*f(t) - 10*z(t). Determine n(v(c)).\nAnswer: 14700*c**2 - 420*c + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*h**2 + 0*h**2 + 3*h**2 - h**2 - 4*h**2 + 4*h**2 + (-5*h + 3*h + 0*h)*(3*h - h - 4*h))*(0*h - h + 0*h).\nAnswer: -8*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 444 minutes after 5:45 PM?\nAnswer: 1:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is -1 - 0 - (4 + 348\/(-88))\/((-27)\/576)?\nAnswer: -1\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(l) = l**3 - l**2 - 2*l + 4. Suppose 0 = 2*o - 5*o. Suppose o*j - 2*j = -6. Does 4 divide x(j)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 13 - (-16 - 5\/5)*(-6 - 5 - -12)?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: How many milliseconds are there in 966433.3 days?\nAnswer: 83499837120000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 3700 and 18500.\nAnswer: 18500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 96869161?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Express 225*n**3 + 26*n + 2*n**2 + 225*n**3 - 4*n**2 + 2 - 449*n**3 as x*n**3 + s*n**2 + b*n + m and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let b be -47 + 37 - (-7 + -4). Is 20\/351 < b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(h) = -h - 1. Let g be x(9). Let t = 14 + g. Solve 0*z**4 + 5*z**2 + 3*z - 5*z**t - 17*z**2 - 14*z**3 + 1 - 5*z = 0.\nAnswer: -1, 1\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 16709.235 to the nearest 1000.\nAnswer: 17000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 84 is divided by 49?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 3872728 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 21 + -20. Suppose -v = 3*q - 2*q. Let w(o) = 2. Let p(s) = -s - 1. Determine q*w(j) - 2*p(j).\nAnswer: 2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -14 = -h - 4*t, 4*t - 6 = 2*t. Let k(x) = -h*x - 3*x + 12*x - 11*x. Let y(j) = 15*j**2. Determine y(k(v)).\nAnswer: 240*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:32 PM and 1:30 AM?\nAnswer: 238","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 190.086 - -0.0385?\nAnswer: 190.1245","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 2899 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ldflbllfdb. Give prob of sequence fbb.\nAnswer: 1\/180","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Product of 25 and 692878.\nAnswer: 17321950","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 379658\/35 - 10847. Which is bigger: 0 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 3 in -36\/5, -63, -11?\nAnswer: -36\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: 2 + -9 + (-1 - 1 - -4)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let 5*x**5 + 85*x**4 + 150*x**3 = 0. Calculate x.\nAnswer: -15, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*f - 3 + 3)*(3*f**3 + 23*f**2 - 23*f**2 + 11).\nAnswer: 9*f**4 + 33*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 9\/116 - -7397\/348. Find the common denominator of -1\/21 and t.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*w + 3*t - 4, w = -2*w - t + 4. Suppose 3*b + w*b - x = 94, 4*x - 2 = -b. What is the smallest common multiple of 18 and b?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*u**3\/4 + 25*u**2\/2 + 65*u\/4 - 30 = 0.\nAnswer: -8, -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: -2150714 * -5\nAnswer: 10753570","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: -442 (base 8) to base 3\nAnswer: -101202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f(x) = 2*x. Let q(r) = 12937*r + 149. What is q(f(j))?\nAnswer: 25874*j + 149","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((2 - 2 + 2*h)*(1 - 2 - 1) + 2*h - h - 3*h + 1 + 2*h - 1 - 5*h + 6*h - 3*h - 2*h - 3 + 3 - 56*h - 19*h + 4*h)*(2*h**4 + 0*h**4 - 3*h**4).\nAnswer: 79*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let o(u) = 3*u**2 + 15. Let f(i) = 9*i**2 + 46. What is 4*f(t) - 11*o(t)?\nAnswer: 3*t**2 + 19","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let f(z) = z**2 - 4*z - 7. Let n be f(6). Suppose n*c - 3 = 12. Suppose -o = c - 18. List the prime factors of o.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 1872 - 1818. Let n(y) = -24*y + 27. Let l(c) = -c + 1. Give b*l(w) - 2*n(w).\nAnswer: -6*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 0 - 0. Suppose -4*c - 84 = -x*c. What is the remainder when 20 is divided by (2\/(-3))\/(2\/c)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 2*i*l**2 + 83*i*l + 27*l**4 wrt l.\nAnswer: 4*i + 324*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 529 a factor of 332297745?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1061, -19, -2, 103 in descending order.\nAnswer: 103, -2, -19, -1061","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let a(g) = 2*g**2 - 219*g - 1719. Give a(-22).\nAnswer: 4067","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand -68*b**4 - 11*b**4 + 18*b**4 + ((3 + 2*b - 3)*(-b - 2*b**2 + b) - b**3 - 6*b**3 + b**3)*(1 - 1 - 3*b) - 2*b**2 + 4*b**3 + b**4 - 4*b**3.\nAnswer: -30*b**4 - 2*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify a**0*a**5*a**4\/a*a*a**4*((a\/(a*(a\/(a\/a**0))\/a))\/a)**(20\/3)\/((a\/a**0)\/a*a**(5\/4)\/a) assuming a is positive.\nAnswer: a**(51\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: 7 divided by 93636\nAnswer: 7\/93636","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 40 + -13. Let p = -23 + s. Which is the nearest to -1?  (a) -4  (b) -1\/4  (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 3695366, 3695430, 3695494, 3695558?\nAnswer: 3695622","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Determine z, given that 5*z**4 - 11620*z**3 + 356690*z**2 - 2924700*z + 2579625 = 0.\nAnswer: 1, 15, 2293","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -l + 6 - 3 = 0. Suppose -5*r = -15, 0*j = 2*j + l*r - 31. Let g(c) = j + c - 10 - 1. Let n(t) = 13*t. Determine n(g(i)).\nAnswer: 13*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 144914 and 371?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 14 and 20846.\nAnswer: 20846","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 9 - 8. Let v be 1*(1 + (k - 0)). Suppose -6*t = -11*t - 5. Put v, -2, t in increasing order.\nAnswer: -2, t, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(b) = -b**2 + 3*b + 26. Suppose 0 = 3*c + 2*c - 20. What is the lowest common multiple of v(6) and c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -23\/2 + 155\/14. Let p = -7255 - -7254. What is the second biggest value in p, v, -0.2?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-4)\/18 + 128\/(-72). Let w(t) = -t**2 + t - 1. Let q(g) = 6*g**2 - 5*g + 6. Calculate k*q(d) - 11*w(d).\nAnswer: -d**2 - d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: -939546*2\nAnswer: -1879092","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -2023\/5 + 406. Let l = 284 + -282. Suppose 0 = -5*j + 4*j, 0 = l*q + 2*j. Which is bigger: q or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put together -99 and 0.4.\nAnswer: -98.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -943, -720, -511, -316, -135, 32?\n\"Answer: -7*o**2 + 244*o - 1180","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 478\/5 - (-15)\/(-25)?\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 6 + -6 - (0 + -64). Suppose 1790 = 5*j - 10*j. Let q = j + 421. Which is greater: v or q?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 419 minutes before 12:29 AM?\nAnswer: 5:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2*g**2 - 15458 - 11596 - 80332.\nAnswer: 2*g**2 - 107386","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 3834\/(-756) + (-2)\/(-28). Let l = -412 - -182. Let w be (l\/(-78) - 3)\/(f\/15). What is the closest to 0 in -1\/6, w, 4?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sum 4 and 26.8.\nAnswer: 30.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 21554?\nAnswer: 2, 13, 829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((r\/((r**(-1\/2)\/r)\/r)*r\/(r*r\/r**(3\/5))*(r\/(r*r*r\/(r*(r\/r**(-1\/2)*r)\/r)*r))**(-18))**50)**(-26) assuming r is positive.\nAnswer: r**(-15730)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 x when two letters picked without replacement from {s: 3, u: 1, a: 5, x: 3}.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -102232271*g**3*t - 56552*g**2*t - 1139*t wrt g?\nAnswer: -613393626*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 32503\/17 + -1909. What is the common denominator of -113\/10 and l?\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5 + -1 + sqrt(363) - sqrt(363))**2 + -2 - (sqrt(363) + -6*2*sqrt(363) - (sqrt(363) + 1*1*sqrt(363) + sqrt(363)))**2.\nAnswer: -71114","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 289584017 and -5?\nAnswer: -1447920085","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:01 PM and 3:32 PM?\nAnswer: 91","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 40 is divided by 9.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 2\/7 + 102600\/168 - 4?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(j) = -2*j**2. Let c be -21 - (3\/(-1) + 1). Let f = c + 27. Let w(n) = -8 + f + n. Calculate w(x(p)).\nAnswer: -2*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*t - 35 - 10. Suppose -3*b + 25 = 4*r, -2*b + 3*r + 23 = -5. Calculate the lowest common multiple of b and t.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*k = 5*d + 145, -4*k = 2*d - k + 63. Let q be (-75)\/(-9) - 2 - (-8)\/d. Solve 3*j + q + 9 = 0 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*h - 34 = -3*q, -2*q + 2*h + 0 + 16 = 0. Let w be (q\/(-14))\/(78\/91). Let r = 461 - 460. Which is the smallest value?  (a) w  (b) r  (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(a) = a - 2. Let h(c) = 7*c**2 + c + 12. Give h(j) + 5*y(j).\nAnswer: 7*j**2 + 6*j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*y - 16*u + 8 = -52, 2*y + u = 25 for y.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from fmfmfgf. Give prob of sequence mgf.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((q\/q**2)**17)**45*(q\/(q\/(q\/q**(-4)))*q\/((q**2*q)\/q))\/(q**(1\/7)\/(q*q\/(q*(q\/(q\/q**(-4)))\/q))) assuming q is positive.\nAnswer: q**(-5286\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -12c1 + 2b44?\nAnswer: 1863","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (1 - 53) + 0 + -28 + 44.\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"}
{"text":"Question: Suppose 30 = 6*r - r. Let y(h) = -4*h + 0*h + 0*h + h**2 + r. Let k be y(4). Calculate the highest common divisor of k and 36.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3*(((2*sqrt(40))\/sqrt(4))\/((sqrt(5) - sqrt(80))*-1 + sqrt(5)) + 4).\nAnswer: -12 - 3*sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 42.3 - 42. Let p = 1.4 - 1. Which is the nearest to p?  (a) s  (b) 2\/15  (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0 + 0 - 23627975*a**3 + 23628036*a**3.\nAnswer: 61*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 23 is divided by (-1)\/6 + 444\/72.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -8.4*-9.04.\nAnswer: 75.936","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:00 AM and 11:50 AM?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((4 + 5 + (sqrt(1100) - (2 + sqrt(1100) + sqrt(1100)*-2 - sqrt(1100))))*-6)**2.\nAnswer: 15120*sqrt(11) + 358164","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-12215)\/3490*4\/413?\nAnswer: -2\/59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (3 - 6 - 6)*(-v - 4*v + 4*v) to z + x*v and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: ((-16)\/(-90))\/((-1110)\/1665)\nAnswer: -4\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1*(-4*(sqrt(1900) + -1)**2 - sqrt(1900)).\nAnswer: -70*sqrt(19) + 7604","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2\/9, -4\/9, 6, -0.1, 0.5, -5\/24.\nAnswer: -4\/9, -5\/24, -0.1, 2\/9, 0.5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {n: 7, w: 12}. Give prob of picking 3 n.\nAnswer: 35\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 233 - 157. What are the prime factors of c?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose v + 5*m = -0*v - 4, 0 = -5*v - 2*m + 3. Let r be (-10 - 1199988) + (v - (0 + 3)). What is r rounded to the nearest one million?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -101\/383946 and -1\/51448764.\nAnswer: 51448764","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -11 - 3?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -167 - -169. Let i(n) be the second derivative of 0 + 0*n**l - n - 1\/6*n**3 - 5\/6*n**4. What is i(1)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3318702 divided by -38146?\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 1913*f**3*q**2 - 10*f**3 - 5427*f**2*q**2 + 10*f**2*q + 170963*q + 1 wrt q.\nAnswer: 3826*f**3 - 10854*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -k - 3*w = 2*k + 9, 11 = -4*k - 3*w for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 e and 1 d when two letters picked without replacement from euecccweddwcccciiw.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((k**11*k**(-16)*k*(k**(-4))**(-3\/32))**35)**(-37) assuming k is positive.\nAnswer: k**(37555\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 596 minutes after 4:22 AM?\nAnswer: 2:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Factor 10998817928*r**2 - 8602328*r + 1682.\nAnswer: 2*(74158*r - 29)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence wllw when four letters picked without replacement from {l: 3, w: 7}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -98 - -106. Let g = u + 84. Calculate the remainder when g is divided by 19.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {i: 2, m: 4, d: 2, g: 4, s: 1, j: 7}. What is prob of picking 2 m and 1 i?\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 78003425.\nAnswer: 5, 3120137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 6653?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from jjvvjjjjvjjjvj. Give prob of picking 1 v and 3 j.\nAnswer: 480\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 15 - (16 + -22) - (10 + 0).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*s + 5 = 2*s for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*t + 4*d + 32 = 0, 2*d + 26 = -87*t + 91*t for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1 in -1\/7, -0.038, 389, 5, -1\/36?\nAnswer: -1\/36","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: 8\/(-2)*4\/(-96)*-4\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is -2022 (base 11) in base 2?\nAnswer: -101001111110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -96 - -2b?\nAnswer: -6b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 86172 and 4300?\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*o**3\/13 - 110848*o**2\/13 - 6212192*o\/13 - 86992640\/13 = 0.\nAnswer: -28, 55480","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve -38*r + 71*r - 35*r = 24 for r.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let j(p) = p**2 - 5*p - 3. Let a be j(6). Let o be a*2\/(-2)*-1. Let i be 2 + (2 - (o - 2)). Which is bigger: 2 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 13833 to the power of 1\/4, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 16*l**3 + 86*l**3 + 244*l**3.\nAnswer: 346*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is (244 - 238) + -1 + 0 + -2?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 1 - 2. Let a(x) = -20*x**2 - 201*x + 215. Let d be a(-11). Sort f, -4, d in decreasing order.\nAnswer: d, f, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are -199156517 and -199156518 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let t(v) = v**2 + 21*v - 158. Calculate t(7).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -m**3 - 115110*m**2 + 285*m + 55395330 wrt m.\nAnswer: -3*m**2 - 230220*m + 285","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -14*(-16)\/2240*-82?\nAnswer: -41\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 6.8 + -0.8. Let d = j - 1. What is the third biggest value in d, 0.4, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -1 - (0 + 0) - ((-10416)\/(-155) - 69)\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 0.06 and -16875898452543?\nAnswer: 16875898452543.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: 25 * -1.1\nAnswer: -27.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -24\/22201 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 53569?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 16353, 16349, 16343, 16335, 16325, 16313?\nAnswer: 16299","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*z + 614 = 596. Solve -z*d = 6, b = -b - 4*d - 10 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*w + 2*w = 5*l + 70, 4*l + 3*w + 56 = 0. Let k(m) = -24*m. Let s(y) be the third derivative of 5*y**4\/24 - 43*y**2. Determine l*s(b) - 3*k(b).\nAnswer: 2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 h when two letters picked without replacement from {r: 3, h: 4, c: 1}?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let g(z) be the first derivative of -z**3\/3 - 15*z**2 - 39*z - 86. Calculate the remainder when g(-24) is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0?  (a) -1  (b) 2\/9  (c) 81342  (d) -3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Express (-18*c - 3*c + 500 - 499)*(-7*c + 5*c + 0*c) as y + l*c + d*c**2 and give d.\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -10100111000111110110011 + -100?\nAnswer: -10100111000111110110111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:46 AM and 11:09 AM?\nAnswer: 623","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2414272 is divided by 482841?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) 0.5  (b) -21442  (c) 0.1  (d) 2\/11  (e) 178\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:17 AM and 12:02 PM?\nAnswer: 525","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 6 in -0.03, -4, -0.1, -0.07?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let g(i) = -12*i**2. Let d(n) = -9431*n**3 - 565860*n**2. What is d(y) - 47155*g(y)?\nAnswer: -9431*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: -11*(6\/(-66))\/(1\/6)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {z: 7, i: 4}. Give prob of sequence zii.\nAnswer: 14\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2675 - 69*r - 2678 + 5346 to the form n + c*r and give n.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Expand -6*o + 5*o + 0*o + 0*o - o - o + 0*o - 3*o + 2*o + (2 + 3 - 3)*(8 - 8 + o).\nAnswer: -2*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence sukp when four letters picked without replacement from skbksprpupkubrps?\nAnswer: 3\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let i(p) = -12*p - 3. Let y be i(2). Is y greater than or equal to -27?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(p) = -p**3 + 12*p**2 - p - 17. Let y be w(13). Let x = 0 - y. List the prime factors of x.\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: 2954.208 + -0.064274\nAnswer: 2954.143726","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {j: 4}. What is prob of picking 3 j?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Round 3229.453999 to one dp.\nAnswer: 3229.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1?  (a) 0.4  (b) -32  (c) -1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -6396.3 - -6396. Sort 0.2, 4.1, s, -27 in increasing order.\nAnswer: -27, s, 0.2, 4.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) -5  (b) -2  (c) 0.5  (d) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Total of -17750 and 34.\nAnswer: -17716","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 148*f - 482*f - 785*f + 8*f to the form u*f + d and give u.\nAnswer: -1111","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is -1431975 divided by 8?\nAnswer: -1431975\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -2.52 - -2.12. Which is the closest to 3?  (a) -1  (b) -2  (c) 0.9  (d) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 98089 is divided by 286.\nAnswer: 277","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Factor -v**3 - 213*v**2 + 648*v.\nAnswer: -v*(v - 3)*(v + 216)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -11*w + 6*w + 10. Suppose 3*s - 20 = -w*s. Which is the second smallest value?  (a) s  (b) 5  (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*q - 3*q + 0*q = 0. Suppose 6*g = 7*g - 1. Suppose -f + 9 - g = q. Solve x = 5*x - f for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 18720944 to the power of 1\/5, to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve q + 3*n = 0, 4*q + 969*n - 32 = 971*n - 4 for q.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 38104, 76191, 114278, 152365, 190452, 228539?\nAnswer: 266626","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 5359 and 233.\nAnswer: 233","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let t be -2*(0\/(-1) - 1). Let y(i) = 0 + 5 - 4 - t + 3*i**3. Is 23 a factor of y(2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(w) = -8*w**3 + w + 1. Let l be h(-1). Let a(r) = 3*r**2 - 4*r + 1 + l*r + 1 - 4*r**2. Determine a(4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(y) = -15*y**2 + 7*y - 3. Let j(t) = 1. Determine 3*j(o) + x(o).\nAnswer: -15*o**2 + 7*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let b(o) = o**3 + 7*o**2 + 2. Let f be b(-7). Solve -f = -4*n - 4*w - 34, -8 = 5*n - 3*w for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 5\/((-10)\/88)*1. Let k be 8\/f - 105\/(-33). Determine v, given that 6 + 9*v - k + 5*v**3 + 12*v**2 - 3*v**2 - 2*v**3 = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 0.4  (b) 17  (c) -2  (d) -0.044  (e) -12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 18 divided by 1397.\nAnswer: 18\/1397","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*p = -4*q + 8*p + 8, -5*q + 8 = -4*p. Suppose q*b = b - 6. Let y(r) = r**3 - 7*r**2 + 6*r + 6. What is the units digit of y(b)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (2\/(-95))\/(1\/(-15)). Let t = j - 37\/57. Put 0.1, 2\/7, t in descending order.\nAnswer: 2\/7, 0.1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 71\/8 and 37\/5888.\nAnswer: 5888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 97008528 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let u(m) = 912*m - 185119. Determine u(203).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of (-5)\/(-6) - (-3282)\/36 and 10?\nAnswer: 460","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1 in 3, 2, 2\/3, -6470, -0.5?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify n**8*(n\/(n\/n**(-1\/14)))\/n*n**11\/n**(1\/3) assuming n is positive.\nAnswer: n**(739\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-45)\/18*-2*1. Let v = n + -2. Solve 5*d + 5*y = 0, -5*d + v*d - 3*y + 1 = 0 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:22 PM and 10:18 PM?\nAnswer: 296","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*q = -3*w - 3, 3*q - 3*w + 3 = -5*w for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -37 + 17 = -4*g. Suppose 102 = 2*o + 19*m - 21*m, 0 = g*o + 2*m - 290. Calculate the remainder when o is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 126 minutes after 9:03 PM?\nAnswer: 11:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let m(f) = -6*f + 0*f + 7*f. Let u(v) = -5*v. Let y(p) = -6*m(p) - u(p). Let x(k) = 18*k + 34*k - 66*k. Give y(x(z)).\nAnswer: 14*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 4004503*h*p**2 + 6494735*h*p - 2*p**2 wrt p?\nAnswer: 8009006*h - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -14 - -6. Let i(c) = 2*c**2 + 20*c + 20. Let r be i(t). Let u = r + 17. Solve u*h + 20 = -5*k, 2*k = -5*h - 3 - 20 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3000 - 2996 - 1870 + 7866 - 11*i.\nAnswer: -11*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 118041\/8 or 14754?\nAnswer: 14754","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 184418081 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: What is 373 minutes after 12:33 PM?\nAnswer: 6:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let w(r) = -r - 2. Let h be w(-4). Which is the biggest value?  (a) 0  (b) h  (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 1 * -0.127.\nAnswer: -0.127","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (0 - -1) + 3\/3. Solve 0 = 3*h - 5*s - 26, h = w*h + s + 2 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(h) = -2*h - 2. Let a(r) = -r**3 - r**2 - 3*r - 3. Let t = 7 - 3. Suppose -t*p - 199 = -15. Let j be 4\/(-14) - p\/14. What is j*s(y) - 2*a(y)?\nAnswer: 2*y**3 + 2*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 45 + -48. Suppose 1 = n - a, -5*a + 1 = -3*n + n. Suppose u = y - 1, -n*u = u + 3*y - 15. Sort 0, l, u.\nAnswer: l, 0, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 287300 and 17?\nAnswer: 287300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -43, -84, -219, -514, -1035, -1848, -3019?\nAnswer: -4614","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose n + 0*q - 3*q = 18, -n + 2*q + 14 = 0. Suppose -n*h + 2698 = 238. What is the hundreds digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 5753941\/1989036 - -2\/71037. Find the common denominator of p and -15\/476.\nAnswer: 476","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(i) = 6 - 11*i**2 - i**3 - 2*i**2 + i**2 - 2. Let n be -5*4\/(-100) - 1037\/85. Let p be j(n). Solve -5*w + 2*r = 10, 5*r - 18 = p*w + 7 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 148267363?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Does 13 divide 11446552?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 44\/(-91) - 15\/(-945)*45?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 146477574.\nAnswer: 2, 3, 19, 428297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 0.4  (b) 13  (c) 1\/6  (d) -10\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 c, 1 s, and 2 n when four letters picked without replacement from {n: 2, s: 8, w: 2, u: 2, c: 1}?\nAnswer: 8\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of u + 0*u + 2*u + 3*u**3 + 2*u wrt u.\nAnswer: 18*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 478 a factor of 43340260?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 32\/3  (b) -2\/3  (c) 0.64  (d) 195\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is -1060379 take away -28.2?\nAnswer: -1060350.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 18.06 + -18. Which is bigger: p or -0.4?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -f - 3*n + 4, f - 5*n = -2*n + 4 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let s(y) = -23*y + 266. Calculate the remainder when 538 is divided by s(10).\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 799*o**3*v**3 + o**3*v**2 + 8830*o*v**2 - 1824*v**4 - 310*v**2 wrt v?\nAnswer: 4794*o**3 - 43776*v","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"}
{"text":"Question: Let l(h) = -2*h + 68*h**3 - 53*h**3 + h. Let p be l(1). Solve -33 = -n - 4*n + 2*r, 2*n - r = p for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*h = -12, -4*d + 452 - 131 = 3*h. Suppose -8*t + 11*t - d = 0. What is the tens digit of (1157\/t)\/(1\/2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of 3854563, 3854565, 3854567?\n\"Answer: 2*a + 3854561","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -73 + 72 - (-1 - 8).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -0.1 - 0.9. Let d = 0.8 + -1.3. Let y = -31 + 32. Which is the closest to 1\/5?  (a) m  (b) y  (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(m) be the third derivative of 2\/3*m**4 + 16\/3*m**3 + 0 + 0*m + m**2 + 1\/30*m**5. Let s(t) = 0. Calculate t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {b: 1, l: 3, a: 1, t: 2}. Give prob of picking 1 l and 1 t.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 668867 to the power of 1\/2, to the nearest integer?\nAnswer: 818","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: -0.736149*-1\nAnswer: 0.736149","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from dzwddcecdzee. Give prob of picking 1 c and 1 d.\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*b**3 - 72*b**2 - 5888*b + 50688.\nAnswer: 2*(b - 72)*(b - 8)*(b + 44)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -137\/13638 and 79\/438.\nAnswer: 995574","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*p - 4*p + 255 = 0. Let h = p - -85. Suppose -2*y + 11 = 5*l, -3*y + l = 3*l - 11. Solve -3*k + 3 = h, k - y*k - 1 = -3*o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-6 + (-1)\/(-1))\/(-1). Suppose v*r = -10, 2*h + 3*h = -r + 108. Let i = h - -20. Calculate the greatest common divisor of i and 84.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 230579.\nAnswer: 29, 7951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*u - u + 24. Suppose -4*z + u + 14 = 0. Factor 0*j**2 - j**3 + 16*j**3 - 10*j**2 - z*j**4.\nAnswer: -5*j**2*(j - 2)*(j - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 87 - 84. Suppose 0 = -t - n*g, 8*t = 9*t - 2*g. Let l be (-4)\/6 + 16\/15. Which is the smallest value?  (a) t  (b) l  (c) -0.3  (d) 2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence fz when two letters picked without replacement from uzfu.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -24 + 152. Calculate the smallest common multiple of p and (1 - 29\/3)*21\/2*(-1060)\/24115.\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*g = w + 12, 3*w - 1 = -g - 9. Let u(a) = 1 - a + 0 - g. Let o be (-93)\/24 + (-3)\/24. Give u(o).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -25415449, -25415443, -25415437, -25415431?\nAnswer: -25415425","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 0.5234965 from -2.\nAnswer: -2.5234965","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((i**(-2\/5))**(2\/17))**(3\/2) assuming i is positive.\nAnswer: i**(-6\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0003417 to four decimal places.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -7 - -6.6. Let d = 2126 - 40409\/19. Let c = d - -233\/247. Sort c, j, 3 in increasing order.\nAnswer: j, c, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-9*t + 3*t**2 + 9*t)*(30 + 45 - 16 + 3 + 89).\nAnswer: 453*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -130*p**2 + 2 + 248*p**2 - 119*p**2 - 24*p**3 - 2*p to the form y + s*p + k*p**2 + v*p**3 and give v.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: -81387 divided by 45\nAnswer: -9043\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00812 rounded to 2 dps?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -w + 4*d = -11, -w + 2*w = -3*d - 24. Which is smaller: -64\/7 or w?\nAnswer: -64\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (2 + -1 + 0)*5. Let j be (-3 - -2)\/((-1)\/q). Suppose -c + 37 = 4*d, j*d - 3*c + 2*c - 44 = 0. What is the units digit of d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*c**3 + 270947150*c**2 + 1083788540*c + 1083788520.\nAnswer: 5*(c + 2)**2*(c + 54189426)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 z when two letters picked without replacement from lzzzllz.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 79\/7 + -11. What is the closest to b in 1, -5, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -376*t**3 + 405*t**2.\nAnswer: -2256","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*f + 0 = 44. Calculate the greatest common factor of 11 and f.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 2417148?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let g(c) be the third derivative of -c**8\/420 + c**6\/30 + c**5\/15 + c**3\/3 - 4*c**2. Let n(x) be the first derivative of g(x). Solve n(w) = 0 for w.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in p**2 - 9 + 4*p**2 - 28*p**2 + 9.\nAnswer: -23*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*r - 5*b - 73 + 23 = 0, 2*b + 41 = 3*r. Suppose -r*p + 18*p = 606. What is the tens digit of p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 1485, -0.5, -2\/7, -377 in decreasing order.\nAnswer: 1485, -2\/7, -0.5, -377","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let p(w) = w**3 - 3*w**2 + w + 1. Calculate p(3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 2\/20*26 - (-56)\/140.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Add 17.5 and -11.2.\nAnswer: 6.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -1 - 51a75?\nAnswer: -51a76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 434 - 631. Let a = t - -670. What is the tens digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 7565, 7509, 7463, 7433, 7425, 7445, 7499?\nAnswer: 7593","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 245549 and 106.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 600022486 to the power of 1\/2, to the nearest integer?\nAnswer: 24495","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let q(n) = 4*n + 22. Let g be q(-8). Let f be 4\/g + 16\/(-10). Sort -1, f, 2, -4 in descending order.\nAnswer: 2, -1, f, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.3 - -1.36301.\nAnswer: 1.66301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*z + 3*z - 18 = -2*g, z = -2*g + 10. Let s be (5 - 3 - g) + 6. Suppose -2*f + 1178 = -2*m, -s*f + 3*m + 2939 = m. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 331346481 is divided by 347?\nAnswer: 345","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Does 964 divide 1538616300?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let o(l) = 2*l - 5. Let x be o(6). Suppose -1895 = -x*u + 2*u. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*o = o + 230. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(s) = -8*s**3 + 6*s**2 + 118*s - 120. Let v be z(1). Let g = -497\/10 - -50. Does v = g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 67\/88 and -101\/100620?\nAnswer: 2213640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve 36 + 33 = -11*z + 5*v, -16 = -5*v + 9 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 209\/5 in -3\/2, -1\/5, -0.3, 2\/35?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -158472 - -2?\nAnswer: -158470","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 866 is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve -69*b = -19 - 257 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let b(o) = -2*o - 6. Suppose -x - 6 + 1 = 0. Let h be b(x). Calculate the common denominator of (12\/14)\/((-6)\/h) and -89\/6.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 80*a - 486*a - 136*a - 281*a - 360*a in the form q + b*a and give b.\nAnswer: -1183","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -10 - (2148\/(-1075))\/((-652)\/(-3260)).\nAnswer: -2\/215","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -9 + 22. Let u(i) = 6*i - 74. Let d be u(l). Calculate the highest common divisor of 8 and d.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 0.22  (b) 2\/7  (c) -20\/47  (d) -194\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 3 divided by -1213629?\nAnswer: -1\/404543","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let w(l) be the first derivative of -l**4\/4 + l**3\/3 + 3*l**2\/2 + 4*l - 601. Let p be -3 + (-1)\/(-2)*2. Let h be 3*p*(-2)\/4. Determine w(h).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1593 + 1601 + 1588 - 4782 - 231*p**2.\nAnswer: -231*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4313*j + 3*g + 7636 = -4312*j, 4*j - 2*g = 30464. List the prime factors of j.\nAnswer: 2, 11, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(a) = a**4 + a**3 + 2. Let t(m) = 35*m**4 - 3*m**3 - 550*m - 6. Let q(j) = 3*o(j) + t(j). What is the second derivative of q(n) wrt n?\nAnswer: 456*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -66 = z + 5*z. Suppose 2*v + 36 = -v. Let g = z - v. Solve f - 3*c = -g - 6, -f = 4*c - 7 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*w = -3*h - 6 - 0, -3*h + 4*w = -15. Let k be 1\/h - 16\/20. What is the biggest value in 0.5, 3, k, -1\/3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 0 - (-2755)\/3 - 6\/(-9). Suppose 15*v - 274 + s = 0. Which is greater: -46 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -12589*f + 4009*f + 4300*f + 4278*f.\nAnswer: -2*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Put -403, -6, 13, 3 in decreasing order.\nAnswer: 13, 3, -6, -403","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Total of -1005385 and -258.\nAnswer: -1005643","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (135\/6)\/3 - 6?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(f) = -f**3 + 27*f**2 + 127*f + 1120. Determine x(32).\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 125 - 375 = 5*p. Let g = 72 + p. Calculate the greatest common factor of 242 and g.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 174569 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let o be -3 + (-37)\/(-10) + (-2)\/10. Solve 3\/2*x - 1\/2 + o*x**3 - 3\/2*x**2 = 0 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -26 + 26 + 9*b**4 + (-b + 0*b + 3*b)*(2 - 2 + 2)*(-9*b**3 + 27*b**3 + 8*b**3).\nAnswer: 113*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -2\/18635, -1\/3, -2\/21?\nAnswer: -2\/18635","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 9 + -16. Let g(t) = t**2 + 7*t. Let m be g(s). Suppose -j + 6*j - 25 = m, -2*k + 43 = 3*j. What are the prime factors of k?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(j) be the first derivative of 5*j**4\/2 + 5*j**2\/2 - 5*j - 1039. Let v(i) = 30*i**3 + 16*i - 16. Calculate 16*n(r) - 5*v(r).\nAnswer: 10*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-17)\/((-255)\/18))\/((-6)\/135)?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h(o) = -6*o**2 + 3*o + 3. Suppose 8*j + 4 = 28. Let i(v) = 7*v**2 - 2*v - 2. What is j*i(x) + 2*h(x)?\nAnswer: 9*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 677401, 1354813, 2032231, 2709655, 3387085, 4064521?\nAnswer: 4741963","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a(u) = 31*u**2 - 260*u - 5. Let n(d) = 18*d**2 - 130*d - 2. Calculate -3*a(x) + 5*n(x).\nAnswer: -3*x**2 + 130*x + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand 8*r + 5*r - 6*r + (-2*r + 2 - 2)*(-2 + 1 + 2) - 2*r - 2 + 2.\nAnswer: 3*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 2491551587 a multiple of 229?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: 1.965038 times -45\nAnswer: -88.42671","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -425, -1652, -3679, -6506, -10133, -14560, -19787?\nAnswer: -25814","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let -j**4\/3 + 2015*j**3\/3 - 335989*j**2 - 2384949*j = 0. What is j?\nAnswer: -7, 0, 1011","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let j(l) = -l**3 + 1. Let k(u) be the first derivative of u**4 - u**2\/2 - 4*u + 5. What is -3*j(c) - k(c)?\nAnswer: -c**3 + c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 1.24 - 1.14. Which is the nearest to 1\/7?  (a) m  (b) 0.04  (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2138 in 2\/5, 11, 2\/53?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is -11a562 (base 11) in base 14?\nAnswer: -4d1a3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -3*r**2 - 63*r*x - x + 242 wrt r.\nAnswer: -6*r - 63*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 36 - 35.98. Let y = -0.02 + a. Let g = -1 - -0.6. What is the nearest to -2\/3 in 0.5, y, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 10000, 10001, 10004, 10009, 10016, 10025, 10036?\nAnswer: 10049","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -i + 4 = 2*l - 0, -l + 11 = 5*i. Solve 4*p = 3*s + 4, -3*s + i*s = -2*p + 4 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -879764 - -0.013865?\nAnswer: -879763.986135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: -2110332110 (base 4) to base 6\nAnswer: -21024552","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 78959\/84 - 940. What is the common denominator of o and 61\/10?\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -11133301 + 3?\nAnswer: -11133232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 32 and 176.\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 3.59 + -0.29. Let l = 1.3 - n. Suppose 7*v = 2*v + 5*w - 10, 3*w = 2*v + 6. Which is the closest to v?  (a) 0  (b) l  (c) 0.01\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 5952 and 277016.\nAnswer: 248","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 13*s + 135 - 83 = 0 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -2722, -5388, -8016, -10618, -13206?\n\"Answer: -2*s**3 + 31*s**2 - 2745*s - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 117, -2\/3, 1\/4, 167?\nAnswer: 117","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -175\/25806 and 89\/10626?\nAnswer: 180642","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 330 - 327. Calculate the remainder when (-1 - 23)*(12 + 150\/(-12)) is divided by b.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from bdbjlfa. What is prob of sequence ba?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let a(k) = -k**2 - 9*k - 1. Let n(i) = -i - 1. Calculate -a(t) + 6*n(t).\nAnswer: t**2 + 3*t - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*q + 1134 + 32 = -2*y, -q - 2*y + 279 = 0. Is 9 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 40*t - 188 - 353 + 181 for t.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -r - 73 = -31. Suppose -3*l = -4*n - 84 - 81, -4*l = -4*n - 164. Does r = n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -899\/3692 + -6\/923. Let j = -1\/9 - 2\/9. What is the second biggest value in j, p, 1\/5?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(g) = -2*g + 21. Determine o(9).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 0, 0.4, -0.013, -0.82?\nAnswer: -0.82","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1624637482?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3117.\nAnswer: 3, 1039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (w\/(w\/w**(-1)))**(18\/5)\/(w**(-2\/7)*w)**(-2\/63) assuming w is positive.\nAnswer: w**(-7888\/2205)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 12\/9*9\/(-6). Let z be (11\/(-44))\/(q\/24). What is the highest common divisor of z and 18?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 100*r + 3*r - 2580 = 17*r. Let g = 13 - 36. Let c = g + r. What is the remainder when 22 is divided by c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-9)\/(21 + (-2880)\/132)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 36, 115, 194?\nAnswer: 273","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Put -1\/6, 1\/2, -2, 1\/7, -0.204, -5 in increasing order.\nAnswer: -5, -2, -0.204, -1\/6, 1\/7, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 24 and 263.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Round -106.474 to the nearest 100.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.06987046648 rounded to 3 dps?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 428, 419, 418, 425, 440?\nAnswer: 463","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -4 + 139?\nAnswer: 135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is (1*2\/(-5))\/(154\/770)*-7?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 498 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let w(h) = 286*h - 95*h - 91*h + 0 - 99*h - 11. Let g(k) = k - 10. What is 7*g(j) - 6*w(j)?\nAnswer: j - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2310?\nAnswer: 2, 3, 5, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 18458 greater than 18518?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 481 minutes before 8:02 AM?\nAnswer: 12:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: 0.5 times 749\nAnswer: 374.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let p(j) be the second derivative of 5*j**9\/252 - 7*j**5\/30 + 11*j**2 - 30*j. Let i(n) be the first derivative of p(n). Find the third derivative of i(s) wrt s.\nAnswer: 1200*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*x - x - 3*x)*(-x + 0*x + 2*x) + 16*x**2 - 220*x**2 - 57*x**2 + 7*x - 7*x**2 - 7*x + (2*x - 3*x + 3*x)*(2*x - 5*x + x).\nAnswer: -274*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let i(m) = -m**2 + 3*m. Let q(d) = 149*d**3 - 67*d**2 + 18*d + 1. Let t(j) = 6*i(j) - q(j). What is the third derivative of t(p) wrt p?\nAnswer: -894","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -29\/44 - 1\/11. Let u(w) = w + 3 + 1 + 0. Let o be u(-6). Is h > o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 6 minutes before 6:00 AM?\nAnswer: 5:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 445 + -285. Suppose 25 = -3*s + 67. Let u = 46 - s. What is the greatest common factor of i and u?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:30 PM and 8:23 PM?\nAnswer: 473","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Express -85*q + 43*q - 2 - q**3 - 8*q**2 + 41*q as b*q**3 + x + i*q + n*q**2 and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 3 + -12 + 9 - 5.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1321305?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Sort 59799, 3\/40, 2 in ascending order.\nAnswer: 3\/40, 2, 59799","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -49*p + 48*p + 1039 = 0. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(w) = -2*w. Let i(u) = -261 + 209*u**2 + 127 + 134. Give q(i(b)).\nAnswer: -418*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -0.7  (b) -11.5  (c) 1\/7  (d) -95  (e) 1.4  (f) 5  (g) -2\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -12, -95, -320, -759, -1484, -2567, -4080, -6095?\n\"Answer: -12*r**3 + r**2 - 2*r + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -81 + 90. Suppose -u*t = 1527 - 3642. Is 17 a factor of 30\/(-20)*(-1 - t\/3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 2980, 2997, 3014, 3031, 3048?\n\"Answer: 17*y + 2963","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 840 to the power of 1\/5, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.241 to 2 decimal places.\nAnswer: 0.24","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 65632 divided by 6.\nAnswer: 32816\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: (8*(-1)\/(-6) - 2)*7884\/1314\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.07 times 1.29?\nAnswer: -0.0903","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 1488 or 1486?\nAnswer: 1488","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1\/4, 0.3, 5, 8\/3 in decreasing order.\nAnswer: 5, 8\/3, 0.3, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Round -2.49953 to one decimal place.\nAnswer: -2.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 78092 is divided by 225.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -666, -1065, -1464?\n\"Answer: -399*a - 267","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 611.413 rounded to the nearest 10?\nAnswer: 610","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let u(r) = r**2 + 2*r - 64. Determine u(7).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of ((-7540)\/232)\/((-2)\/((-2920)\/(-2))).\nAnswer: 5, 13, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00000187855318 rounded to 7 dps?\nAnswer: -0.0000019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0 - 1 + 2*p**2 - 3*p**3 + 3*p + 1 - 32*p.\nAnswer: -3*p**3 + 2*p**2 - 29*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 1167 minus 0.022?\nAnswer: 1166.978","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve -o - 10*g - 791 + 405 = -416, -o + 4*g = 40 for o.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -105 - -62. Let m = -41 - c. Suppose m*w - 1 = 57. List the prime factors of w.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 16377 is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Add together -359 and -13.3.\nAnswer: -372.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let h(w) = -2*w**3 - 160*w**2 - 3184*w - 69. Give h(-37).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2 in 0.2, 12, 0.1?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 16741568 and 8128.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Divide -540000 by -5000.\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: 6 * 2417\nAnswer: 14502","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*j - 4*v + 268 - 294 = 0, -3*v - 21 = 2*j. What is the second biggest value in 4, -0.1, j, 31?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose n + 1 = 2*p, -4*p + 5*p - 18 = 4*n. Let v(s) = -4*s - 15. Let m be v(n). Suppose -5*t - m = -10*t. What is the highest common divisor of 9 and t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(g) = -11*g - 13 - 4 + g**2 + 20*g. Let l = 8 + -20. Let a be d(l). What is the highest common factor of a and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 95, 130, 179, 248, 343, 470, 635?\nAnswer: 844","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 741 + 4?\nAnswer: 745","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*l + 2174 = -1630. Suppose -5*r - 1188 = l. Calculate the common denominator of 17\/18 and (-1)\/6*r\/22.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2*((-1 + sqrt(208))**2 + 1)*2 - (0 + (0 + 1*sqrt(208))*5))*6 + -5.\nAnswer: -5045 + 72*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, 3, 0.077.\nAnswer: 0, 0.077, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*f - 2 = 8. Suppose 5*q + 2*a = 0, 0*q - 2*q - f*a = 0. Suppose q = 6*k - k - 515. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -3760 + 805*g + 3760 to s*g + v and give s.\nAnswer: 805","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 0.4, 5, -1.7?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 102294.\nAnswer: 2, 3, 5683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 197*v - 3*a = 201*v + 110, -118 = 4*v - a for v.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*d + 74 = 2*d - 2*l, -5*d + 68 = l. Let u be (2 - 3) + -2*63. Let a = u + 180. Calculate the remainder when a is divided by d.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.5?  (a) 4  (b) 5  (c) 0  (d) -2\/37\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 198867579 - -5?\nAnswer: 198867583","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-1)\/(-2) - (-30)\/4. Let s = 5 + f. What is the tens digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -a - 1 = -5, 3*o + 3*a = 42. What is the remainder when 18 is divided by o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -477, -1935, -4399, -7869, -12345, -17827?\n\"Answer: -503*q**2 + 51*q - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 6\/(-9) - (-24)\/9. Suppose -p*r + 903 = r. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(i) be the second derivative of i**5\/5 - i**4\/3 - 3*i**3\/2 + i**2\/2 - 41*i. List the prime factors of f(5).\nAnswer: 2, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from uzufufuzuffzzuuzsz. Give prob of sequence sf.\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 23 a factor of 430?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let r be ((-202)\/(-3))\/(1\/(-3)). Let y = r + 419. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*f + f. Suppose 4*l + u + 53 = f, l = -3*u - 7 + 2. Calculate the remainder when ((-12)\/(-8))\/((-1)\/l) is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 44022607794.699999717 - 44022607813. Let n = w - -18.3. Round n to 7 dps.\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 104992 and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 318821 divided by -318821.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((3*(sqrt(2448) + 4))**2 - sqrt(2448)) + 6*sqrt(2448)*1 + ((sqrt(2448) + -3 + 0 - sqrt(2448)) + (-2 + sqrt(2448) + 5 - sqrt(2448)) + sqrt(2448))**2.\nAnswer: 924*sqrt(17) + 24624","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let h(v) = v**3 - 10*v**2 + 5*v + 8. Let s(d) = d**3 - 9*d**2 + 5*d + 7. Let f(l) = 3*h(l) - 4*s(l). Let r = -4212 + 4217. Determine f(r).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*n = 3*c - 22, 752*n = 757*n + 4*c - 6 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -325733, -651459, -977185, -1302911, -1628637, -1954363?\nAnswer: -2280089","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 10\/70*21\/(-12). Which is the third smallest value?  (a) g  (b) -5  (c) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-m - 3 + 0*m + 2)*(3*m - 4*m + 0*m + (3 - 5 + 4)*(5*m - 4*m - 2*m) + 1213*m - 688*m - 199*m).\nAnswer: -323*m**2 - 323*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -90873012995.497562 - -90779349005.498. Let g = -93663859 - l. Let n = 131 - g. What is n rounded to 4 dps?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(g) = -5*g**2 + 21*g + 7. Let b(s) = -6*s - 5*s**2 + 7 - 3*s + 39*s - 8*s. Let t(a) = 7*b(a) - 6*k(a). Calculate the least common multiple of 22 and t(5).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 1107554132?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -147824, -295635, -443444, -591251, -739056, -886859, -1034660?\nAnswer: -1182459","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 159311 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Sum 463329718683 and -96.\nAnswer: 463329718587","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let y(s) = 144*s + 52*s - 211*s. Let b(v) = 63*v**2. Give b(y(f)).\nAnswer: 14175*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Are 78 and 26316\/341 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2961 = -2*f - 1381. Let v = f + 3129. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: (4*((-174)\/(-32))\/(-29))\/((-9)\/60)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find b such that 301*b**2 + 3487 + 4188 + b**3 - 124*b**2 - 1170*b - 1062*b - 871 = 0.\nAnswer: -189, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 248011*c + 155469*c - 37179*c + 10029*c - 44609*c.\nAnswer: 331721*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.044, -42, 1\/54 in decreasing order.\nAnswer: 1\/54, -0.044, -42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*y + 9 = -5*j, 5*y + 755 - 695 = -4*j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 8707419 divided by -189.\nAnswer: -46071","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: How many litres are there in 46.5421ml?\nAnswer: 0.0465421","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*x = -173 - 256. Let m = 218 + x. List the prime factors of m.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 2\/496*309 + 35\/(-28). Which is smaller: f or 1?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -15, 5, -4, -5 in descending order.\nAnswer: 5, -4, -5, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let j(d) = -26*d - 15. Let r(q) = -9*q - 5. Let i(y) = -9*y - 5. Let f(s) = 2*i(s) - 3*r(s). Let c(k) = 11*f(k) + 4*j(k). What is the tens digit of c(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 306 + -298. Suppose 3*c - 30 = 3*a - b*a, 24 = 4*a - 4*c. Let x(q) = 4*q - 9. Calculate x(a).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 279 + -114. Suppose 4*g + 4*u = 132, 2*g + 3*g - h = -4*u. Let p(c) = -4*c - 5. Let b be p(-2). Solve 2*s - b*q = -19, -5*q - 2 = -3*s - g for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 21021112010 (base 3) to base 5\nAnswer: 14041030","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 68024897 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Convert 33220 (base 4) to base 16.\nAnswer: 3e8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -19 + 26 + (0 - 2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 104 a factor of 10337808?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*u + 69 = -2*h + 21, -55 = -5*u - 5*h. What is the least common multiple of u and 146?\nAnswer: 730","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1224 a multiple of 36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 66*u - 8*u**2 - 13155*u**3 + 13160*u**3 + 34*u wrt u.\nAnswer: 30*u - 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-2)\/21 - (-36)\/54)\/(4\/14)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the seventh smallest value?  (a) -116  (b) 2\/3  (c) -13  (d) 0.4  (e) 0.2  (f) -1284  (g) -5\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 3391457 to the nearest integer?\nAnswer: 1842","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 1039\/63 or 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1670*r - 2 + 1611*r - 4936*r + 2 + 1668*r.\nAnswer: 13*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let j(u) = 64*u - 2. Let g be j(-1). Let z = 79 - g. Suppose -5*a - z = -595. Is a a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 3  (b) -44.97  (c) 2\/11  (d) 0.1  (e) -724  (f) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let n(f) = 2*f. Let c(h) = 30*h + 4. Let a(s) = 60*s + 7. Let g(b) = -4*a(b) + 7*c(b). Give n(g(q)).\nAnswer: -60*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 92833374?\nAnswer: 2, 3, 79, 139, 1409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -485873\/120 + 4049. Let k = -25369 - -1217645\/48. What is the common denominator of r and k?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Do -650 and -523 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 4280\/531 - 56\/59. Calculate the common denominator of 230\/9 + (-2)\/9 and o.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 27608 and 52?\nAnswer: 358904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Put -4\/147, -0.2, -24, 4 in descending order.\nAnswer: 4, -4\/147, -0.2, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 4187095 is divided by 12174?\nAnswer: 11413","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let u(r) = -r**2 - 5*r - 4. Let a be u(-5). Let k = -293 - -291. Is k smaller than a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -3597*x**3 - 3441 wrt x?\nAnswer: -10791*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let m(l) = 2*l + 2. Let q be ((-451)\/(-44) - 7)\/((-2)\/(-8)). Let z(h) = -19*h + 245. Let a be z(q). Give m(a).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 20359.52kg to milligrams.\nAnswer: 20359520000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*c = f - 95, -5*f - c + 492 = c. Suppose 5*q = l + 66, 0*q - 36 = -4*q + 5*l. What is the greatest common factor of q and f?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -22 + 15. Let v be 1*(3 - (-6)\/2). Suppose -5*b - v = 19. Is x < b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 85\/4 of a century in months?\nAnswer: 25500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o(w) be the third derivative of w**6\/120 + 17*w**5\/60 + 17*w**4\/12 + 70*w**2. Find the second derivative of o(z) wrt z.\nAnswer: 6*z + 34","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -3.831 + -0.069. Which is the smallest value?  (a) 2  (b) x  (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from hhfffeffhkfehfxhf. Give prob of picking 2 f and 1 h.\nAnswer: 7\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 r, 1 s, and 1 p when three letters picked without replacement from {p: 5, r: 4, i: 2, s: 4, e: 2}.\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 6790788 is divided by 71.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*v + 4*s = -16, 0 = v + 7*s + 54 - 18 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (2 + -1)*(4 - 4). Suppose -3*d - 3*m - 34 + 103 = t, 0 = d - 3*m - 11. What are the prime factors of d?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4*(-1 + sqrt(1539)) + sqrt(1539))**2.\nAnswer: -216*sqrt(19) + 13867","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -6\/5, 0.1, -127, -51, 1\/2, 0.03, -45?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 6230 and 2492?\nAnswer: 12460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -474, -1897, -4272, -7599?\nAnswer: -11878","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: -1 divided by 8\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 304932889.\nAnswer: 433, 704233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve -11*n + 11 - 3 = 4*v, -n - 8 = -4 for v.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let f(j) = -1. Let r(t) = -t. Let y(a) = -f(a) + r(a). Let k(w) = -w + 1. Let q = 3 + -2. Let d be q\/(4 - 3) - (-36)\/(-9). Calculate d*y(i) + 2*k(i).\nAnswer: i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -219.3 + 219.4. What is the second biggest value in 32, 0.2, c, -1, -9?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 90\/45*(-2)\/(20*-1)*1060\/18338?\nAnswer: 2\/173","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*p - 148*f - 104 = -146*f, 4*p = -5*f + 253. What is the greatest common factor of 1159 and p?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -8 - -16. Let m be (-91)\/56 + 3\/(-8). Let x be ((-2)\/(-24)*k)\/(m\/(-12)). Sort 5, -2, x, 0.2 in decreasing order.\nAnswer: 5, x, 0.2, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be ((-13)\/(-39))\/((-4)\/3). Which is the second biggest value?  (a) 2\/25  (b) 7  (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-100)\/7 - (-10)\/35. Let b = -17 - a. Let c be (5\/b + 2)\/1. Which is smaller: c or 1?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -4 - -26. What is the units digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -3*k**3 + 30*k**4 + 17*k**2 - 7*k**3 + 11*k**3 + 0*k**4 + 2 wrt k?\nAnswer: 720*k + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(h) = h**3 - 68*h**2 + 196*h - 327. Give m(65).\nAnswer: -262","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5740 = 74*g - 4*g. Is 499\/6 at least as big as g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add -506 and 0.459.\nAnswer: -505.541","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 111010 (base 2) in base 5?\nAnswer: 213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Put 2\/3, 1450, 2\/7, -0.05, 0.03 in decreasing order.\nAnswer: 1450, 2\/3, 2\/7, 0.03, -0.05","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Are -183 and -464 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let a(y) be the first derivative of -9239*y**3\/3 + 12927*y - 1482. What is the first derivative of a(w) wrt w?\nAnswer: -18478*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 1 and 540?\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 113\/48174 and 33\/58156.\nAnswer: 6455316","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1200 (base 4) to base 6.\nAnswer: -240","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*u + 40 - 250 = 0. Solve 6*x = -0*x + u for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -1 + 2.2. Let x = t - 8.2. Let r = x - -6.6. Which is the smallest value?  (a) 4  (b) r  (c) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(v) = -8*v**2 + 7*v + 8. Let t(w) be the first derivative of 23*w**3\/3 - 10*w**2 - 23*w + 257. Determine -17*f(j) - 6*t(j).\nAnswer: -2*j**2 + j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 5403.397 nanograms in micrograms?\nAnswer: 5.403397","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (k**(-2\/5)*k)**(3\/2)\/(k**(-7\/3)*k*(k*k**(-1\/6)*k)\/k)*(k\/(k*k**(1\/4)))**(-2\/41)*(k*k\/(k**(-1)\/k*k))\/(k**3\/k) assuming k is positive.\nAnswer: k**(989\/410)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 355 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 30088166 to the power of 1\/6, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Are 2\/35377 and -0.2 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let p(a) = -2*a + 0*a - a - 9*a + 14*a. Let b be 52\/6 - (-6)\/(-9). Let f(r) = r - b*r - 3*r + r. Determine p(f(y)).\nAnswer: -18*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 48 + -34 + 44 + -4.\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*d**2 + 50568576*d - 213098406555648.\nAnswer: -3*(d - 8428096)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4326 - 2173 + 2*t**3 - 2153.\nAnswer: 2*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 2374820, 2374798, 2374762, 2374712?\n\"Answer: -7*o**2 - o + 2374828","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -2669, -2670, -2671, -2672, -2673, -2674?\n\"Answer: -a - 2668","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k(z) = -z + 2. Let g(w) = w + 18. Let j = 17 + -31. What is the lowest common multiple of k(-5) and g(j)?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 51011 minus 0?\nAnswer: 51011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (2 - -4 - (21 + -16))\/1. Let k(v) = 2 + 0 - 2*v - 2*v**2 - 5. Let y(x) = -x**3 - x**2 - 1. Give s*k(r) - 2*y(r).\nAnswer: 2*r**3 - 2*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 48\/7*u**2 + 2200\/7 - 4\/7*u**3 + 780\/7*u = 0. What is u?\nAnswer: -5, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -68 + 338 = -30*c. What is the third biggest value in 0.1, 2, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(x) = x**3 + 7*x**2 + 3. Let q be t(-7). Suppose q*b = 1 + 14. Suppose -4*h = -3*a + 79, 3*a - b*h = 65 + 18. Is 3 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -1.5 + 8.5. Let m = -5 + b. What is the second smallest value in -4, 1\/3, m?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 110.\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 159 + -78. Let j = p - -149. Suppose -4*u + j = -2*y, y - 3 = -0*y. Is u a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(d) be the first derivative of -d**4\/4 - 4*d**3\/3 + 4*d**2 + 13*d - 37. What is the tens digit of w(-7)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -20454207 or -20454192?\nAnswer: -20454192","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let 4*f**4 + 15356*f**3 + 652556*f**2 - 1351196*f + 683280 = 0. What is f?\nAnswer: -3796, -45, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 8419 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -d = -2*p + 3, 8 = 5*p - 5*d - 2. Is -2\/39 equal to p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -870 not equal to 12675?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is -602.6314 rounded to the nearest integer?\nAnswer: -603","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Factor -27941796*t**2 - 676608*t - 4096.\nAnswer: -4*(2643*t + 32)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:11 PM and 2:29 AM?\nAnswer: 558","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let a(x) = x + 1. Let z(m) be the first derivative of m**2\/2 + m - 1. Suppose -63 = -4*f - 23. Suppose -6*c - 14 - f = 0. Calculate c*a(j) + 3*z(j).\nAnswer: -j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-5)\/(-1))\/10*0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3*sqrt(7))**2 + -1 + ((sqrt(7) - sqrt(56)\/sqrt(8)) + 2)**2.\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 158638 is divided by 323.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*i**5 - 8*i**5 + 3*i**5 + (0 - 2*i**4 + 0)*(-3*i + 2*i + 0*i) + (i - 3*i + i)*(-4*i**3 - 2*i**4 + 4*i**3).\nAnswer: -3*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Are 1\/2 and 1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 2 (base 5) in base 10?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Does 15 divide 5226309405?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -85 + 86. List the prime factors of (438 - (-17 + 11))\/(z + 0).\nAnswer: 2, 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -219280720*t**3 + 198*t**2 + 78*t + 1669.\nAnswer: -1315684320","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -7.9  (b) -339  (c) -8  (d) -2.1  (e) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let t(v) = 2*v. Let o be t(1). Suppose 4*n - 16 = -j, 26 = o*n + 7*j - 2*j. Suppose -x + 0 + n = 0. Let a(d) = d**2 + d - 2. Give a(x).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 1633169 to the nearest integer?\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 650335 (base 15) in base 3?\nAnswer: 100001101012212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {v: 1, a: 1, i: 2}. What is prob of sequence ia?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 14 - (-11 - (-11 + -14)) - 2.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*d + 4*p - 3 = 0, 0*d + d = p. Suppose 0 = -17*q + 22*q - 40. Suppose o = -o - q. Put -1, -6, o, d in decreasing order.\nAnswer: d, -1, o, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.5, -1.54, -5, 2, -2 in descending order.\nAnswer: 2, -0.5, -1.54, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -r + 17 = 4*w, -r = 1 + 2. Suppose 10 = 5*v + 3*x, w*v - 3*x - 9 = 31. Is 5 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: -37 (base 9) to base 2\nAnswer: -100010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3 - 405*w + 410*w - 9 + 6.\nAnswer: 5*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in -0.47, -31, 0.5, 3\/4, -2\/3, -2, 11?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2 = -g - 0*g. Solve 3*r - 2*r - g = 0 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 139 a factor of 173454069?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 291 is divided by 101?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 152 - 154. Is 23 a factor of -3 + 1 - -2 - (-49 - a)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 136 minutes after 6:19 AM?\nAnswer: 8:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in 0.8831126cm?\nAnswer: 8831.126","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.7 + 0.40554449425.\nAnswer: -0.29445550575","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 74273\/7 + -10579. Let p = -32 + v. Which is the nearest to 2?  (a) -1\/6  (b) p  (c) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*i = -6*i + 176. Suppose -s = -0*s + i. Let y = s + 379\/4. Calculate the common denominator of y and 35\/3.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*q + u + 5 = 0, 67*u = q + 65*u + 10 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let j(b) be the second derivative of 0 + 2*b - 1\/6*b**3 + 1\/2*b**2. What is j(1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be -2 + 10\/5 + -5. Let s(o) = 2*o**2 + 4*o + 2. Let z be s(-2). Let l(p) = p**2 - 3*p - z*p**2 - 11*p + 8*p. Give l(u).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -12*((-24)\/(-16))\/(18\/(-8)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of 364465, 364468, 364473, 364480?\n\"Answer: a**2 + 364464","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -2643 divided by 5754?\nAnswer: -881\/1918","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-10)\/15*(0 + -1).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose p = -y + 12 - 3, y = 4*p - 6. Solve y*w = 3*t + w + 15, t + 5 = 3*w for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*q**4 + 0*q**4 - 5*q**2 + 6*q**2 - 3 + q**4 + 3 + (-2*q + 2*q - q)*(q - q - q**3) - 5*q**2 - 5*q**4 + 910*q - 910*q - 20 + 4*q**4 + 20.\nAnswer: -q**4 - 4*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is (6 + 1712\/12)*(-3)\/(-2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -207 divided by -1278.\nAnswer: 23\/142","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 44*h**2 + 404*h - 448 = 0 for h.\nAnswer: -112\/11, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 55?  (a) 2  (b) 2\/507  (c) 0.4  (d) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"}
{"text":"Question: Suppose 36*w + 1720 = 1792. Let v(r) = 11*r - 1. Let u(g) = 12*g - 1. Let f(q) = -2*u(q) + 3*v(q). Calculate f(w).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2.85*-1.245.\nAnswer: 3.54825","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 31128.\nAnswer: 2, 3, 1297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let c(v) = -76*v + 4221. Let s be c(55). Solve 8*f + s = 81 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -7?  (a) -6  (b) 0.2  (c) -10  (d) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -8, -50, -172, -416, -824, -1438?\nAnswer: -2300","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*u + 2 - 12. Suppose 10 + 20 = u*d - 4*q, -d + 12 = q. Let l = 36 + 0. What is the remainder when l is divided by d?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 4342?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 1485 and 2376?\nAnswer: 11880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-7395 + 4*v + 3010 + 2664)*(-5*v + 3*v + 4*v) to the form n*v + b + s*v**2 and give n.\nAnswer: -3442","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"}
{"text":"Question: What is -1112104.61 rounded to the nearest 1000?\nAnswer: -1112000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let -45*b**4 + 70848015*b**3 + 1605912880*b**2 - 2235681140*b + 755723040 = 0. What is b?\nAnswer: -24, 2\/3, 1574423","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is i in i**3\/3 + 7*i**2\/3 + 2*i = 0?\nAnswer: -6, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7 = 2*w - 13. Calculate the highest common divisor of w and 15.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: -3 + 5 + 4 + -3 - -4\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (2*l**2 - 3*l**2 + 0*l**2)*(6*l - 7*l - 34*l) to s*l**3 + k + g*l**2 + o*l and give s.\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 54 minutes after 3:54 PM?\nAnswer: 4:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 96 and 54752?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let a(k) = k**2. Suppose -5*s + 238 = -h, s - 14 = -4*h + 21. Let i(u) = 29*u - s + 84 - 37. Give i(a(w)).\nAnswer: 29*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange y**4 + 113*y**2 - 2 + 2*y + 692*y**3 - 349*y**3 - 340*y**3 to the form j*y**3 + l*y**4 + m + r*y**2 + x*y and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose i = 5*v + 290, -5*v + 0*i = 2*i + 290. Let u = v + 103. List the prime factors of u.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3004, 4, -0.2 in ascending order.\nAnswer: -3004, -0.2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 7\/125 and 167\/16500.\nAnswer: 16500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -12921204, -25842396, -38763590, -51684786?\n\"Answer: -x**2 - 12921189*x - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify t**(-2\/57)\/(t\/(t*t**(2\/25)\/t)) assuming t is positive.\nAnswer: t**(-1361\/1425)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 3  (b) -1\/3  (c) -15\/4  (d) 2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Find t such that -2*t**4\/3 - 21004*t**3\/3 - 24507000*t**2 - 28583326332*t + 28607840334 = 0.\nAnswer: -3501, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (1087*h - 5041 + 391*h + 5041)*(-6 + 6*h**2 + 6) to s*h + z*h**2 + x + a*h**3 and give a.\nAnswer: 8868","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Divide -458346 by 4.\nAnswer: -229173\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1\/9, -2\/353, 0.1, -325, -0.5 in increasing order.\nAnswer: -325, -0.5, -2\/353, 0.1, 1\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: 5 - ((-15 - 1) + (13 - 7))\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 41.53 - 0.53. Let d = 290 + -252. Let n = s - d. What is the closest to 1\/4 in 0.9, n, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -1, -22, -0.2, -4, 1.2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 117956\/18331*(-184)\/(-16)?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {h: 8, w: 4, f: 1, u: 1, c: 1, a: 1}. Give prob of picking 3 h and 1 a.\nAnswer: 2\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 z, 1 i, and 2 o when four letters picked without replacement from {o: 8, i: 1, z: 6}.\nAnswer: 8\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 748470169?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -t - 11419 = -4*t - k, 2*t - 7618 = -2*k. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(o) = -o. Let x(h) = -11*h + 10. Let b(q) = -2*q + 1. Suppose 3114*t - 3111*t = -3. Let k(a) = t*x(a) + 4*b(a). Give k(s(u)).\nAnswer: -3*u - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 14 a factor of 108371020?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*v - 7*v - 5*r + 62 = 0, 5*r = -15*v + 95 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -485, -502, -545, -626, -757, -950, -1217, -1570?\nAnswer: -2021","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 316 and 79?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is -53106 (base 8) in base 11?\nAnswer: -15659","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -453 - 681 = 3*f. Let m be 9\/f + 1\/6. Which is the third biggest value?  (a) m  (b) 2\/5  (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -0.5*0.112\nAnswer: -0.056","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 108 is divided by 21?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let f(r) be the third derivative of r**4\/12 - 2*r**3 + 3*r**2. Let s be f(8). Suppose -d + 24 = s. What is the highest common factor of 10 and d?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-4*f + f + f)*(3*f - 2*f - 2*f) + 6*f**2 + f**2 + 2*f**2 + (f**2 + f**2 - f**2)*(-1 + 1 - 1) to the form y*f + t*f**2 + i and give t.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 1*2*(-12)\/54. Let c be (-1)\/5*((-130)\/4)\/13. What is the closest to k in c, 4, 4\/3?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4*p**3 + 1 - 1 - 1)*(0 + 4 - 2).\nAnswer: -8*p**3 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 11, -3, -43, -121, -249, -439, -703?\nAnswer: -1053","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Express 51*f**2 - 10*f**3 + 9*f**3 - 53*f**2 + 337*f**2 as x + l*f**2 + z*f + m*f**3 and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-c + 4*c - 4*c)*(-5*c**2 + c**2 + 3*c**2) + 12*c**3 - 11 + 11.\nAnswer: 13*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let t(h) = -114546*h**2. Let s(k) = 4*k**2. Calculate t(s(y)).\nAnswer: -1832736*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let j(r) = -r**3 + r**2 + 1. Let q be 0\/2 + (-2 - -2). Let b be j(q). Let w(c) = c**2 + c - 1. What is the units digit of w(b)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 17526 + -17418. What is the highest common factor of 5778 and r?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 3*r**2 - 7*r + 7*r + r**2 - r + 2*r**3 + 7 in the form j*r**3 + x + d*r**2 + u*r and give d.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is -8926 take away 0.154015699?\nAnswer: -8926.154015699","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is -243277301 take away -6570?\nAnswer: -243270731","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let c(l) = l**6 - l**3 - l**2 + l. Let u(a) = 919*a**6 - 5*a**3 - 9*a**2 + 5*a + 4. Let s(v) = -10*c(v) + 2*u(v). What is the third derivative of s(w) wrt w?\nAnswer: 219360*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 693 minutes after 7:31 PM?\nAnswer: 7:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (0 - 1)\/(2\/4). Suppose 3*w - 9*w = -5*u - 16, -2*u - 3 = w. Sort w, d, -5 in ascending order.\nAnswer: -5, d, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4272812.\nAnswer: 2, 1068203","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2 = -3*f + 4*f. Solve -4*j - m = m - 2, 0 = 5*j + f*m - 4 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(u) be the second derivative of -u**6\/3 - 5*u**3\/2 - 12*u. What is the second derivative of p(b) wrt b?\nAnswer: -120*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -1111011110 + -101?\nAnswer: -1111100011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence qr when two letters picked without replacement from qrkppprqprppr?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let b(w) = -w + 6. Let v = 4 + -1. Let k be b(v). Solve 5*j = 3*m + 8, -j + 3 = -k*j - 5*m for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 2769378?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 1949422637 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 31593 rounded to the nearest ten thousand?\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 - 1 + 2*c)*(20*c + 7*c**2 - 20*c) - 36*c**2 + 36*c**2 + 14*c**3.\nAnswer: 28*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 7\/4 of a century?\nAnswer: 2100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.11 in 2\/13, -2\/7, 16?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*k**2\/3 + 14*k - 92\/3.\nAnswer: 2*(k - 2)*(k + 23)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: (132\/6 - (-138)\/69) + 19\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 e and 3 g when four letters picked without replacement from {t: 3, e: 4, g: 4, m: 2, z: 1, c: 1}.\nAnswer: 16\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let i(v) = -2*v**2 + 37*v. Let x(p) be the second derivative of -13*p**3\/3 - 3*p - 40. What is i(x(o))?\nAnswer: -1352*o**2 - 962*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 22845390 divided by -3807565?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1815*s + 49 = 1822*s for s.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -827*z + 418*z + 57*z**2 + 409*z.\nAnswer: 57*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 212 - 425\/2. What is the second biggest value in m, 20, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3008*a - 11657*a + 6871 = 2906 - 4684 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 0.3 + 0.1. Let x = 103.7 + -104. Which is the second biggest value?  (a) 1\/3  (b) p  (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((4 - 5) + -3 - -3) + -1?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 142530 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let n(f) be the first derivative of 1\/21*f**3 + f + 1\/140*f**5 + 0*f**2 - 1\/28*f**4 + 3. Let g(m) be the first derivative of n(m). Suppose g(l) = 0. What is l?\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -40.04 - 0.96. Let x = -40.999977 - r. What is x rounded to five dps?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(m) = -3 - 7*m + 2 - 8*m**3 - 5. Let b(x) = 17*x**3 + 15*x + 13. Let q(f) = 6*b(f) + 13*n(f). What is the second derivative of q(s) wrt s?\nAnswer: -12*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -34.190781 to 2 dps.\nAnswer: -34.19","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -5263 + 5251. Put -1, 5, b, -2 in decreasing order.\nAnswer: 5, -1, -2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 0*s + 24*s**3 - 2*s - 2 - s**2 + 2*s - s in the form z*s**2 + n*s + b + r*s**3 and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -5, 0.2, 2\/9, -0.78, 11, 1\/7?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -15 = -4*k + 5. Suppose 0 = k*n - 8*n + 9. Suppose 2*j = -n*c - 0*j - 17692, 4 = j. What is c rounded to the nearest 1000?\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -25 + 10*g - 23*g**2 - 8*g - 2*g - 8 to h*g**2 + u*g + y and give h.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is -1 at least as big as 30\/241?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -17\/107622 and 23\/16?\nAnswer: 860976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 w, 1 r, and 1 t when three letters picked without replacement from {h: 1, p: 1, r: 1, w: 1, t: 4}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Expand (10 - 5*t - 10)*(0 + 0 - 2*t**3) - 4*t + t**4 + 6*t**2 - 6*t**2 + (0*t**2 + 0*t**2 - t**3)*(-3 + 3 - 2*t).\nAnswer: 13*t**4 - 4*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 19 + -24. Let b(o) = o**2 + 4*o + 2. Let c be b(s). Suppose c*j + 8 = 11*j. Solve -3*l = j - 11 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(r) = 2*r**2 - 43*r - 358. What are the prime factors of i(48)?\nAnswer: 2, 1093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 16913878 is divided by 270.\nAnswer: 268","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 10 = l - 3*i, -i + 2429 = -4*l + 2447 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let b(w) = -9*w**3 - w**2 + 2*w - 1. Give b(2).\nAnswer: -73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -2029*k**4 + k**2 - 186*k wrt k.\nAnswer: -48696*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -5  (b) 0.2  (c) 1  (d) 2\/35\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -682*y + 792*y = -9790 for y.\nAnswer: -89","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is -22531320 divided by -9?\nAnswer: 2503480","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 88\/5 of a microgram in nanograms?\nAnswer: 17600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5*(sqrt(102) + sqrt(102)*1 + sqrt(102)))\/sqrt(6)*-2.\nAnswer: -30*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 91331 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1 + -2*(6*(sqrt(2299) + 2 + 0))**2.\nAnswer: -165817 - 3168*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 c and 1 a when two letters picked without replacement from {c: 2, o: 2, g: 1, a: 2, h: 1, p: 1}?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 552 minutes before 1:46 AM?\nAnswer: 4:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from yuyduyuuduyuyuud. What is prob of picking 1 u and 3 y?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Put -3, -7, 0 in increasing order.\nAnswer: -7, -3, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 4786584694 to the power of 1\/2, to the nearest integer?\nAnswer: 69185","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 93*(-3)\/6*(-9 + 7). Calculate the highest common factor of x and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 401573 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let q(k) = -10*k**3 + 26*k**2 - 18*k - 8. Let l(m) = 5*m**3 - 13*m**2 + 8*m + 4. Let z(d) = -5*l(d) - 2*q(d). Factor z(n).\nAnswer: -(n - 2)*(n - 1)*(5*n + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-368)\/60 - 6\/(-45). Let x(t) = -t**2 + 6*t + 4. Let q(l) = 144*l + 134*l - 279*l. What is d*q(p) - x(p)?\nAnswer: p**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 625872183?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 37 + -88. Let l = n - -134. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -1233378*u**6 - 262394*u**2 - 2 wrt u?\nAnswer: -148005360*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let d(l) = -3*l**4 - l**3 - l + 2. Let t(z) = -z**3 - z. Let p(o) = -d(o) + t(o). Differentiate p(w) wrt w.\nAnswer: 12*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 20 = 12*d - 8*d. Suppose 0 = 800*w - 805*w + d. Sort 5, -1, w, 4 in decreasing order.\nAnswer: 5, 4, w, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 90, 187, 294, 417, 562?\n\"Answer: d**3 - d**2 + 93*d - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 0.65 + -0.7. Let h = x - -0.1. Let a = h + -0.0499986. What is a rounded to 7 decimal places?\nAnswer: 0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 109 is divided by 36?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 1117491 - 2311871. Round w to the nearest 10000.\nAnswer: -1190000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 21754.\nAnswer: 2, 73, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is (-18168)\/(-3785)*25\/3?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((2*(3*1*sqrt(255))\/sqrt(5))\/((3*sqrt(3)*2 + sqrt(3))*-1*2))**2.\nAnswer: 153\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.3, 703228, -4, -2\/2891.\nAnswer: -4, -2\/2891, 0.3, 703228","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let g(j) = -j**3 - 7*j**2 + 6*j - 12. Let x be g(-9). Suppose -8*y = -56 - x. Are y and 17 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2126924 is divided by 106342?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -234 divided by 13.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.1 in 1771, 6, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 144*v - 143*v - 4*z - 8 = 0, 5*v = 2*z + 22. Which is the smallest value?  (a) v  (b) -1  (c) -17  (d) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 201387?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Divide 1637668332 by -4.\nAnswer: -409417083","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let q(x) be the third derivative of 0 + 22*x**2 - 5\/3*x**3 + 0*x + 29\/24*x**4. What is the tens digit of q(3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 2376 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 17389 - 17389.4. Which is the closest to -0.2?  (a) -0.3  (b) 3  (c) -302  (d) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (v\/v**(-35)*v*((v\/(v\/v**(-20)*v))\/v*v*v)\/v*(v**(-18))**(-41))**(-23) assuming v is positive.\nAnswer: v**(-17342)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 128 + -126. Which is the third biggest value?  (a) k  (b) -3\/7  (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 428 minutes after 2:27 AM?\nAnswer: 9:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -191\/51825960 and 113\/1439610.\nAnswer: 51825960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -4 - 705?\nAnswer: -710","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {s: 2, u: 2, m: 2, e: 1, o: 2, r: 5}. Give prob of picking 4 r.\nAnswer: 5\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 362356853 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -h + 2*a = h + 236, 0 = 2*a + 4. Let d = 126 + h. What is the highest common factor of 24 and d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(i) be the second derivative of i**7\/7 - i**6\/15 - 3*i**5\/10 + i**4\/6 + 4*i. Find x, given that g(x) = 0.\nAnswer: -1, 0, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 105 and 175.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -6 + 5.94. Let g = 0.34 - y. Let d = -29 + 29.2. What is the biggest value in g, -5, d?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -59\/928 and -21\/2146?\nAnswer: 34336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -100 divided by -10.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1287 is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let y(c) = -4*c + 3. Let f be y(2). Let w(p) = 9 + p - 2*p + 0*p. Let h be w(5). Put f, 3, h in decreasing order.\nAnswer: h, 3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(l) = l**3 - 6*l + 3. Let g be t(5). Suppose -h = 2*x - 22, -12 = -2*h - 2*x + 24. What is the greatest common factor of h and g?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-13)\/52*8)\/((15\/6)\/(-5)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -46500 + -112.\nAnswer: -46612","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 50 and 450.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*o + 3*y - 6615, -5*y + 2215 = -4*o + 7544. What is the highest common factor of 102 and o?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 8902 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 95757?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 24.00701 millimeters in meters?\nAnswer: 0.02400701","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*k + 2*k = 16. Solve 20 = k*u + u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -172*q - 375*q = -33*q + 994*q - 81432 for q.\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 31490 and 12502?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -20344711 - 4*f + 20344711.\nAnswer: -4*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 69845491 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 2053, 1873, 1693, 1513, 1333, 1153?\n\"Answer: -180*x + 2233","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f(p) = 14*p - 5. Let z be f(1). Calculate the highest common factor of z and 117.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 163024 divided by -20378?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: 488 (base 11) to base 13\nAnswer: 358","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 5261 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 276?  (a) -0.5  (b) 5  (c) -0.4  (d) -16\/29\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Expand 7325*y**2 + 7124*y**2 - 1 - 14635*y**2 + (2*y - y - 2*y)*(2*y + 0*y + 0*y).\nAnswer: -188*y**2 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((24\/68)\/6)\/((-1188)\/(-1683)).\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n(l) be the second derivative of -25*l**3\/6 - 3*l**2\/2 - 2*l. Calculate the remainder when n(-2) is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 259*y - 124572 = -119910 for y.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -48402873, -96805750, -145208629, -193611510, -242014393, -290417278, -338820165?\nAnswer: -387223054","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t(j) = -7*j - 4*j + 0*j**2 - 3*j**2 - 12 + 2*j**2. Let u be t(-9). Is -1 + -6*u\/(-9) even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 2165?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Determine o, given that 35*o - o**2 - 24*o + 14*o - o**2 = 0.\nAnswer: 0, 25\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_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: Let h(t) = -619*t**2 - 4*t - 5. Let y be h(5). Round y to the nearest 1000.\nAnswer: -16000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*w + d - 45 = -3*w, 5*d = -15. Let o = 7 + w. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(l) = l**2 - 15*l - 475. Calculate k(-16).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let f(z) = 9*z - 90. Let b(h) = h - 30. Let p(i) = 3*b(i) - f(i). Let c(v) = -2*v**2 - v**2 + 5*v**2. What is c(p(q))?\nAnswer: 72*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 36*i - 196 - 520 = 40. Solve -i*h - 37 = 26 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {x: 6, h: 2, y: 2, m: 2}. Give prob of sequence xmmh.\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) -30  (b) 0.09  (c) 5  (d) -1  (e) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (18855\/(-10475))\/((-6)\/(-140))?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 560*g**2 - 1149*g**2 + 595*g**2.\nAnswer: 6*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose s = -39*s. Solve -7*h + 20 - 6 = s for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 3798 and -1.95?\nAnswer: -7406.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ho when two letters picked without replacement from wxxxkxoxxxhwhwwxhkw?\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let d(n) = -n**3 - 5*n**2 - 2*n + 4. Let z be d(-4). Let a be z - 2\/4*-6. What are the prime factors of a\/(-1) + (19 - -9)?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 45797 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let o be ((-6)\/(-2))\/((-9)\/(-6)). Suppose -o*m + 16 = 2. Suppose 5*p - 46 - 9 = 0. Solve -p = -7*j + 2*j - 2*b, -5*j + 4*b = m for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*j + 0*j + 0*j + 2 - j)*(21*j**2 - 85*j**2 + 38*j**2).\nAnswer: -26*j**3 - 52*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Factor c**4\/2 - 15*c**3\/2 + 75*c**2\/2 - 125*c\/2.\nAnswer: c*(c - 5)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*q + 9 = 0, -3*q - 17 = 3*r + 100. Let c = 683 - r. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(n) = 13*n + 130. Let d be h(-10). Put 3, 5, d, -16 in increasing order.\nAnswer: -16, d, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 1454884.78 to the nearest one hundred thousand.\nAnswer: 1500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let z(m) = -m - 2. Let p = 9 - 17. Let x be z(p). What are the prime factors of (26\/3)\/(4\/x)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 826260 and 1.46.\nAnswer: 1206339.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Divide -4860 by -71.\nAnswer: 4860\/71","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5 + -1*-2*sqrt(475) + sqrt(475) + 5 + (2*((0 + sqrt(475) - sqrt(475)) + sqrt(475)))**2 + 0 + 3.\nAnswer: 15*sqrt(19) + 1903","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 159 divided by 53.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let y(w) = 5*w - 12. Let u be y(4). What is the derivative of 4 + 3*z**4 + u*z**4 - 3 wrt z?\nAnswer: 44*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -24 = -2*v - 0. Let t be (v - 232\/24)\/((-2)\/(-6)). Solve -2*q + 10 = -t*q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 12 (base 5) to base 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 6\/(-2)*22\/(-66)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((t**(1\/9)\/t**(3\/11))\/((t**(2\/5)\/t)\/t**(3\/5)))**36 assuming t is positive.\nAnswer: t**(2056\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth biggest value in -0.4, 3\/17, -4, 4, 60?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 29726 + -29726.0011456. Round z to 5 dps.\nAnswer: -0.00115","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -41*s - 37*s - 780 for s.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let o be ((-5)\/(-1050) - 2) + 2. Let h(a) be the third derivative of -4*a**2 + 0 - 3\/7*a**3 + 1\/14*a**4 + 0*a - o*a**5. Factor h(n).\nAnswer: -2*(n - 3)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put together -14396 and -0.159768137.\nAnswer: -14396.159768137","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 43841 to the nearest integer?\nAnswer: 209","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -5 - (-3 - -1 - 2).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (56\/(-21)*96\/(-56))\/(11*14\/49)?\nAnswer: 16\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(v) = -5*v**2 + 1439879*v. Let d(p) = 5*p. What is m(d(g))?\nAnswer: -125*g**2 + 7199395*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 94774, 94773, 94772, 94771, 94770?\n\"Answer: -f + 94775","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 5263 - 5146. Sort s, 3, 6, 0 in decreasing order.\nAnswer: s, 6, 3, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -15, 153, 527, 1173, 2157, 3545?\n\"Answer: 11*y**3 + 37*y**2 - 20*y - 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0 (base 6) to base 16.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1359471279.\nAnswer: 3, 37, 1171, 10459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*y + 2 = 6. Suppose 2*p - 2 = y. Factor 0 - 1\/4*b + 1\/4*b**p.\nAnswer: b*(b - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 32*b**5 - 2*b**4 - 20*b**3 - 6*b**2 - 375?\nAnswer: 1920*b**2 - 48*b - 120","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*h = h + 68. Suppose 0*v = -v - 4*w + 1, -2*w = 2*v - 8. Let o = v - -5. What is the remainder when h is divided by o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-220*q + 743 - 743)*(1 - q - 1)*(-3 + 1 + 0) - 6*q**2 - 3*q + 4*q**2 + 5*q.\nAnswer: -442*q**2 + 2*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 13836 to the power of 1\/2, to the nearest integer?\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 1724979?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3126 is divided by 994?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in twenty-seven halves of a litre?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(75)*-1)**2*-1 - (sqrt(3) + sqrt(243) - sqrt(96)\/sqrt(8))**2.\nAnswer: -267","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*x - 25 = -3. Suppose -247*m = -236*m - x. Put -12, m, -4, 0 in ascending order.\nAnswer: -12, -4, 0, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-14)\/42*6103\/5. Let y = z + 407. Find u, given that -y*u**2 - 2\/5*u + 0 = 0.\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(m) = 157*m - 174. Let b be x(7). What is the greatest common factor of b and 37?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be -7*(0 + (-450)\/21). Suppose -j = -2*d - f + 6, 2*d - 164 = -5*f. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 21870 - 11424. Let -32 - 11010*z**2 + a*z**2 - 252*z - 322*z**3 - 49*z**4 + 4*z = 0. What is z?\nAnswer: -4, -2, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(l) = -l - 18. Determine u(6).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*r**2\/7 - 276*r\/7 - 278\/7 = 0.\nAnswer: -1, 139","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1?  (a) 2\/9  (b) -2\/35  (c) -15  (d) 3\/67\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 10889632?\nAnswer: 2, 13, 26177","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 25 - 123\/5. Let n = -17\/76 - 1\/38. Let t = 2\/65 + 116\/455. Which is the closest to n?  (a) t  (b) 0.1  (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3493158.\nAnswer: 2, 3, 577, 1009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 5\/((-40)\/(-1034)) - (-3)\/(-12). What is the greatest common divisor of w and 2064?\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 138 = 21*c - 67*c for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -1 - -7. Suppose -3*f - 180 = -k*f. Suppose 0 = 4*g + p - f, -10 = -2*g + 5*p + 42. What are the prime factors of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 101134 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let b(z) be the first derivative of z**5\/15 + z**3\/6 - z**2\/2 - 5. Let q(x) be the second derivative of b(x). Differentiate q(d) with respect to d.\nAnswer: 8*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 44052, 88228, 132404, 176580, 220756?\nAnswer: 264932","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"}
{"text":"Question: What is ((-27)\/(-96))\/((-10)\/(240\/18))?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 24*p = -18*p + 17*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*j - 122 = -2*j. Suppose -c - 4*g + j = 4*c, 25 = 5*c - 5*g. Let t(v) = v**3 - 10*v**2 + 12*v - 11. Is 4 a factor of t(c)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.219443839 rounded to three dps?\nAnswer: -0.219","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -u - 4*u + 65 = 0. Let z = u + -9. Let b = 3 - z. Put -3, b, 3 in increasing order.\nAnswer: -3, b, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*m - 9 = -43. Let b = -24800 + 24806. Let j(o) = -14*o - 23. Let v(y) = -5*y - 8. What is b*j(k) + m*v(k)?\nAnswer: k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let j(n) = -6*n + 63. Let d(i) = -24*i. Calculate j(d(g)).\nAnswer: 144*g + 63","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*f - 10*f - 17 = -10 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -2\/7  (b) 3  (c) 61\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -0.7 and -18414.498?\nAnswer: 12890.1486","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 0.4 and -0.0906?\nAnswer: 0.4906","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from iixixggx. What is prob of sequence ii?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 6057?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, 5, 15824, -1.\nAnswer: -1, 2, 5, 15824","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 22568 and 29848?\nAnswer: 728","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 2217358254?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 18*t = 13*t - 4*m - 33, 5*m + 35 = -5*t. Let w = -2.23 + 0.33. Let q = w - -2. Which is the biggest value?  (a) 4  (b) q  (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 6*l**3*m**3 - l**3*m**2 - 150*l**3 - 2*l**2*m**4 - 103*l*m**2 + 6853*m**4 wrt m.\nAnswer: 36*l**3 - 48*l**2*m + 164472*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 27*m - 4*m = 345. Let j = 5 - 2. Suppose -5*f = -15, -357 = -5*i - 2*f + j*f. What is the remainder when i is divided by m?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -57074, -114101, -171128, -228155, -285182, -342209?\nAnswer: -399236","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*t**4 + 32425130*t**3\/3 - 63048968*t**2 + 86467206*t + 16212600 = 0.\nAnswer: -2702100, -1\/6, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 2.63 + -49.03. Let u = 50 + p. Let n = 1.6 - u. Which is the biggest value?  (a) 0.5  (b) 3  (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -459*h + 2047*h - 220*h - 471*h - 478*h - 458*h.\nAnswer: -39*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 1051183187 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: 22\/4*(-21)\/(-231)*30\/10\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 13*l = 14*l - 5. Let i(k) be the first derivative of 0*k**4 + 0*k**2 + 3\/5*k**l - 1\/3*k**3 + 1 + 0*k. What is the third derivative of i(p) wrt p?\nAnswer: 72*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*f = 5*l - 117, 5*f - 87 = 2*f - 3*l. Let p = -15 + 15. Suppose p = -5*c + f + 32. What is the remainder when 47 is divided by c?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(i) be the third derivative of 8\/15*i**5 + 0*i + 2\/3*i**4 + 0*i**3 + 1\/10*i**6 + 0 - 3*i**2 - 1\/84*i**8 - 4\/105*i**7. Find l, given that w(l) = 0.\nAnswer: -2, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 4544?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let t(w) = 10*w - 96. Let j be t(9). Let f be -5 - j - (-7 + 1). Solve 0 = 4*y + f + 13 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -11 = -3*v - 2. Let i be (1 + 0)*(v + -7). Let w = 6 + i. Solve 4*q - 3*x - 10 = -8*x, x - w = -q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2141015381 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in -2\/7, -0.02, -51, 0.4, -9889?\nAnswer: -51","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let q(f) = -f**3 + 62*f**2 - 59*f + 154. What is q(61)?\nAnswer: 276","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let f(g) = 99 - 99 + g**2. Let d(r) be the second derivative of -5*r**4\/12 - 29*r. What is f(d(k))?\nAnswer: 25*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 58 + 0*c + 39 - 6*c + 4*c to x + d*c and give x.\nAnswer: 97","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Convert 878204.7 millimeters to centimeters.\nAnswer: 87820.47","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-1 - (-1)\/(-5))*(-760)\/(-228). Let o be ((-17)\/v)\/((-9)\/36). Are o and -17 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 167.42 - 97.35. Let w = k + -0.07. Let p = w + -70.00043. Round p to 4 decimal places.\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -2009, -3084, -4161, -5240?\n\"Answer: -z**2 - 1072*z - 936","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 33422 = -4*s - 2*k, 5*k = 12 - 7. Does 55 divide (786\/(-114) - -7) + s\/(-38)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(n) = -33*n. Let j(d) = 8080352*d**2. Determine j(r(z)).\nAnswer: 8799503328*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1751 or -5\/9?\nAnswer: -5\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -4072 + 81447\/20. Which is smaller: 1 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"}
{"text":"Question: What is 137756771 to the power of 1\/10, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 19512830 and 10.\nAnswer: 19512830","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*b + 2947 = 5*o, 2*o - 2931 = -3*o + b. Suppose -28*h = -589 - o. What is the highest common divisor of h and 18?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -9 + 11. Suppose a = 38 + v. Does 20 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(v) = -v**2 - 8*v + 26. Let f be s(0). Solve -f*k = -36*k + 20 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(t) be the third derivative of 0 + 1\/2*t**3 - 1\/20*t**5 - 5*t**2 + 0*t + 0*t**4. Suppose q(z) = 0. What is z?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 13.28537 to the nearest integer.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let u(j) = -13*j + 15. Let n(b) = -3*b + 4. Determine 9*n(s) - 2*u(s).\nAnswer: -s + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 137776, 139372, 140968, 142564, 144160?\n\"Answer: 1596*z + 136180","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify m*m\/(m*m*(m**18*m)\/m)*m\/m**(10\/9)*m**(1\/4)\/(m\/m**11) assuming m is positive.\nAnswer: m**(-283\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of -1 + 1\/3*9 and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2 - (0 + -2) - (2175\/135 - 12)?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 4  (b) -7  (c) 0.2  (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let d(c) = 3*c**2 - 10*c - 1. Let u be 62\/8 + (-4)\/(-16). Let a be d(u). Suppose -2*v - 7 = 4*g - a, 0 = -v - 5*g + 64. Is 19 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 472*l**4\/5 - 3210*l**3 - 268932*l**2 - 3357046*l + 71148\/5 = 0 for l.\nAnswer: -22, -21, 1\/236, 77","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let t(l) = 14*l**2 + 29*l + 740. Let h(o) = 30*o**2 + 63*o + 1481. What is 6*h(a) - 13*t(a)?\nAnswer: -2*a**2 + a - 734","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -69 - -139. Suppose 3*w = -g - 18 + 45, w + 2 = -4*g. Calculate the highest common factor of h and w.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence jw when two letters picked without replacement from {w: 1, j: 12}?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let m(g) = -3*g**2 + 2*g - 1. Let b(d) = d**2 - d - 1. Let u = 6 + -12. Let q = -5 - u. What is q*b(p) + m(p)?\nAnswer: -2*p**2 + p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.2 plus -90906?\nAnswer: -90905.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Divide 851729244 by -6.\nAnswer: -141954874","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: 31a (base 11) to base 5\nAnswer: 3014","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1888?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let n(j) be the third derivative of 0*j**3 - 1\/60*j**6 - 11\/30*j**5 - 157*j**2 + 0*j + 0 + j**4. Factor n(f).\nAnswer: -2*f*(f - 1)*(f + 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 87719 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 5227 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 598\/(-156) - (-1)\/(-6)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -16464 divided by 84.\nAnswer: -196","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let z(v) = -v - 1. Let c(m) = 37*m**2 - 8*m - 7. Give 2*c(f) - 14*z(f).\nAnswer: 74*f**2 - 2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -244*o**3*y**2 + 2200*o**2*y**2 wrt o?\nAnswer: -1464*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 106?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0?  (a) -0.012  (b) -127  (c) 44  (d) 2\/129\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 5217703?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -15304345, -15304370, -15304395, -15304420, -15304445?\nAnswer: -15304470","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -10523863*l**3*w**3 + 5*l**3 + 464*l**2 - l*w**3 - 2*l*w - 2*w - 1 wrt w.\nAnswer: -63143178*l**3*w - 6*l*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 2486*t**3 - t**2 + 2 + 5561*t**3 - 461*t - 2 - 2645*t**3 wrt t.\nAnswer: 32412","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 2\/(1 + 1 - 11). Let x = -0.64 + 0.94. Let v = -12 + 8. What is the closest to 2 in k, x, v?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*c + 121 = 91, 12*m + 0*c - c + 54 = 0 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*n - 2*r - 31 = -11, 5*n - 20 = 3*r. Let k(o) be the second derivative of -1\/12*o**4 - 3*o**2 + 0 - n*o + o**3. Give k(4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 1.72 - 1.62. Sort -3, 0.19, g, 0.2 in increasing order.\nAnswer: -3, g, 0.19, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 0 - -8. Let b(d) be the first derivative of -2\/3*d**3 + 5\/2*d**2 - 1 + 2*d. Let g(w) = -6*w**2 + 14*w + 5. Give u*b(n) - 3*g(n).\nAnswer: 2*n**2 - 2*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -0.29 - -5.29. Which is the nearest to -1\/7?  (a) 1\/4  (b) r  (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence rjj when three letters picked without replacement from rrrjrj.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve -19 = 12*g - 43 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let j(t) = -7*t**3 + 5*t**2 + 5*t. Let w(r) = 4*r**3 - 3*r**2 - 3*r. Suppose 5*q - h = 23 - 5, h = 2*q - 9. Suppose 18 = -0*n + q*n. Give n*j(m) + 10*w(m).\nAnswer: -2*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 950093 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let c(v) = 6*v**2 + 2*v - 4. Suppose 14*j + 42 - 168 = 0. Let s(r) = -9*r**2 - 3747*r + 3742*r + 9 - j*r**2 + 5*r**2. Calculate -9*c(u) - 4*s(u).\nAnswer: -2*u**2 + 2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 299710 divided by 59942.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let v(w) be the second derivative of -w**4\/6 + 37*w**3\/6 - 19*w**2\/2 - w - 28. Suppose t - 5*t = -16, 0 = 4*h + 4*t - 88. Let a be v(h). Is 2\/73 at least a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -160 + 158. Sort y, 0.2, 0.3, 4.\nAnswer: y, 0.2, 0.3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(y) = 3*y**2 - 25*y. Let z(i) = 2*i**2. Calculate j(z(q)).\nAnswer: 12*q**4 - 50*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: (10\/(-7))\/(6275\/8785)*14\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 31\/80 and 29\/256.\nAnswer: 1280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: -2240244 (base 5) to base 2\nAnswer: -1001110010001010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g(c) = 3*c**2 - 4*c - 27. List the prime factors of g(-5).\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine t so that -2*t**3\/7 - 7208*t**2\/7 - 28776*t\/7 + 86400\/7 = 0.\nAnswer: -3600, -6, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 4 in -4, 125, -0.254?\nAnswer: -0.254","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4*sqrt(77)\/(sqrt(252)*2))**2 - (((sqrt(77)*2 - sqrt(77)) + sqrt(77))*1)\/(sqrt(7) + sqrt(28)*3 + sqrt(7)).\nAnswer: -sqrt(11)\/4 + 11\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of 1889, 4091, 10051, 21641, 40733, 69199?\n\"Answer: 312*c**3 + 7*c**2 - 3*c + 1573","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q(o) = 18*o - 21. Let v(d) = 12*d - 11. Let x(r) = -3*q(r) + 5*v(r). What is the tens digit of x(3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 30866.\nAnswer: 2, 11, 23, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: 0 + 45 + 27 + -70\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -6960 - 2511*s**3 - 6958 + 13918 + 2513*s**3.\nAnswer: 2*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let r(b) = b**3 - 3*b**2 + 3*b - 4. Let q be r(2). Let z be (-10)\/(-5) + q + 2. Solve y + 0*y - z = 0 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 200652.\nAnswer: 2, 3, 23, 727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1 - 14 - 11\/(-55)*-15.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5547*f = 5550*f + 15, -2*a = -f + 5 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 779445 or 7794459\/10?\nAnswer: 779445","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {m: 1, f: 7, b: 1, r: 5}. What is prob of picking 1 m and 2 r?\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 1406*n + 1082 wrt n?\nAnswer: 1406","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 15693263 and 468710?\nAnswer: 4261","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:43 PM and 8:52 PM?\nAnswer: 429","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 2.674 + -2.374. Let n be (-7)\/(-2)*(-3)\/(-7). Which is the closest to 1?  (a) t  (b) -5  (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-1 - (-1)\/2)*-22. Let k(z) = -2 + d*z - 2 + z**2 - 20*z. Determine k(9).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 12*(-25)\/1500*80\/(-16)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -177230742 divided by -2905422?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 5*w - 11*w**2 + 11*w**2 + 0*w**2 - 8*w**3 to the form y*w + u*w**2 + p*w**3 + a and give p.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (78\/(-51))\/((-44)\/(-6)) + (-2)\/(-17).\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 289*k**3 - 68*k**2 + 4*k.\nAnswer: k*(17*k - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (1 - 42) + -12910 + 12953.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of 1589, 3183, 4779, 6377, 7977?\n\"Answer: h**2 + 1591*h - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 25 - 19. Suppose b*v - 3*v - 6 = 0. What is the units digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.4, 1\/583, 0 in descending order.\nAnswer: 0.4, 1\/583, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 12672 is divided by 12633?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-1)\/(-2 - (-14)\/6). Let d be -3*2*t\/18. Let i(q) = 3*q. Let y be i(d). Let n(s) = -2*s**2 + 4*s - 1. Determine n(y).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -183107\/5 - -36621. Let u be ((-1)\/2)\/((-3)\/(-2)). What is the nearest to f in -0.5, -1, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(j) be the second derivative of j**3\/2 + 9*j**2\/2 + 60*j - 2. Let c(h) = 1. Determine b(l) - 5*c(l).\nAnswer: 3*l + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: 5*65\/(650\/64)\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00000439933 to seven decimal places.\nAnswer: 0.0000044","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let l(v) = v - 11. Let b be ((-8)\/16)\/((-1)\/22). Let z be l(b). Solve z*k - k = 0 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4*y + 26 + 4*y + 116*y**2 - 26 - 136*y**2.\nAnswer: -20*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3*z**2 - 21*z**2 - 62*z**2 + 57031.\nAnswer: -80*z**2 + 57031","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 838 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is -458 (base 16) in base 6?\nAnswer: -5052","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -14829115*k**3 - 45314828 wrt k.\nAnswer: -44487345*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let h(j) = -3*j**2 - 48*j + 84. Let n(k) = 5*k**2 + 42*k - 84. Give 7*h(s) + 8*n(s).\nAnswer: 19*s**2 - 84","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve -49*g = -79 - 19 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 4*(-2 + 11\/2) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:37 AM and 9:19 AM?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -88465430*j**3*l**3 - 2*j*l**3 - 86*l**2 - 141104*l wrt j.\nAnswer: -530792580*j*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 q and 1 e when two letters picked without replacement from {e: 2, d: 3, q: 5, y: 5}?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let i(c) = -5*c**3 + 3*c**2 + 5*c - 17. Let d(s) = 2*s**3 - 2*s**2 - 3*s + 9. Determine -5*d(v) - 3*i(v).\nAnswer: 5*v**3 + v**2 + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 65.95 - 3.95. What is the smallest value in 3, 0.5, n?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 321*d**4 + 2*d**2 - 3 - 2*d + 3*d**3 - d - 318*d**4 + d to m*d**3 + v*d**4 + j + c*d + q*d**2 and give m.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -731*g - 731*g - 731*g + 2195*g.\nAnswer: 2*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-o - 2*o + 5*o)*(-2 - 1 + 5) - o - 1 + 1 + (0*o + o - 3*o)*(5 - 3 + 0) + 2 - 2 - 19*o.\nAnswer: -20*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 53 a factor of (12027\/2)\/(144\/96)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -197*p - 85 wrt p?\nAnswer: -197","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -4, -15, 1?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 65, 56, 31, -16, -91, -200?\n\"Answer: -y**3 - 2*y**2 + 4*y + 64","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(5)*1 + 4)**2 - ((sqrt(20) - sqrt(5)) + 2)**2) + ((sqrt(735)*1)\/(sqrt(297)\/sqrt(11)))**2 + -5.\nAnswer: 4*sqrt(5) + 308\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*t = -4*h - 5, 0 = 617*t - 622*t - 5*h - 5 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -128275*t + 128322*t = 1034 for t.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is -4631217 (base 8) in base 12?\nAnswer: -5080bb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 112\/23 - 695\/138. Let r = -27 + 29. Suppose r*i + 27 = 31. Put i, -2\/9, g, 0 in increasing order.\nAnswer: -2\/9, g, 0, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*z - 140 = 22*z for z.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 4183, 16506, 37045, 65800, 102771, 147958?\nAnswer: 201361","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00000254472 rounded to seven decimal places?\nAnswer: -0.0000025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Sort 15, -5, 4, -1 in ascending order.\nAnswer: -5, -1, 4, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 1062 and 2594702?\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*b - 3*l = 9, -7 = -2*b - 25*l + 26*l for b.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let r(i) = 2*i**2 - 119*i - 599. Determine r(-5).\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:37 AM and 6:38 AM?\nAnswer: 181","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 83*k - 20*k + 36*k - 7*k - 25*k + 74*k.\nAnswer: 141*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 6 + (-3)\/((105\/10)\/7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -1 + 0. What is the closest to 1 in 18, d, 4?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 15894621 is divided by 243?\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of k**6*u - 1249641*k**3*u**2 - 3*k**2*u**2 + k**2*u - 1519*k*u**2 wrt k.\nAnswer: 120*k**3*u - 7497846*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let l(s) = -697*s - 102. Let r = 36 + -36. Suppose r = -3*c + 5*c - 10. Let k(x) = 34*x + 5. Let u(w) = c*l(w) + 102*k(w). What is u(1)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify w**(-1\/6)\/w**(6\/13)*(w*w**(-1\/7))\/(w**(-1)*w) assuming w is positive.\nAnswer: w**(125\/546)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1672330436?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 2473663 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -29  (b) -2  (c) -3  (d) -4\/2129\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3696.6 + 68352.\nAnswer: 72048.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is seven halves of a centimeter in micrometers?\nAnswer: 35000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 5865, 11728, 17591, 23454?\n\"Answer: 5863*l + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 31 in 0.4, -2\/247, -0.3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -395*b + 398*b = -4*x - 71, -5*b - 39 = x for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let j(a) = a - 2. Let t(n) = 2*n - 4. Let o = -4 + -7. Let w(m) = o*j(m) + 6*t(m). Let b be w(3). Is 1\/17 less than b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of ((-2)\/((-2)\/(-3)))\/((-14)\/(-608230)*-15)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 5*u**5 - 6*u**5 - u**5 + (3*u**4 + 0*u**4 - 2*u**4)*(-1 - u + 1) + 13*u**5 - 35*u + 35*u.\nAnswer: 10*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 0 + 7 - (13 - 9)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Determine w, given that 2*w**4\/7 - 146556*w**3 + 131557825346*w**2\/7 - 37587510432*w + 131555773568\/7 = 0.\nAnswer: 1, 256472","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -4935, -4865, -4795, -4725, -4655?\nAnswer: -4585","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -0.2 and -0.046.\nAnswer: 0.0092","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(432)*3 + 0)*1 - (-5*(sqrt(384) - sqrt(24)))\/(1*sqrt(72)).\nAnswer: 41*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Sort 9542, -2, 1, -5 in decreasing order.\nAnswer: 9542, 1, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 40036377 is divided by 16.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -10, -4, -1, 6, -6?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Find h such that -3*h**2 + 183*h + 2886 = 0.\nAnswer: -13, 74","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-1)\/((1\/(-12))\/((-2)\/6)). Sort -2\/9, d, 0.2.\nAnswer: d, -2\/9, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millimeters are there in 13\/5 of a centimeter?\nAnswer: 26","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 402 + 1574. What is the hundreds digit of k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*s + 4*s + 4*s)*(30*s - 154*s - 136*s) + (-2*s + 0 + 0)*(2 - s - 2).\nAnswer: -2078*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(684) - (2 + sqrt(684) + sqrt(684)))**2 + (-5*sqrt(76))\/sqrt(4).\nAnswer: 19*sqrt(19) + 688","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-2)\/(-7) - 23\/7. Let r = t + 5. Suppose 0 = 3*i + i - 20. Calculate the least common multiple of r and i.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(a) be the first derivative of 2*a**3\/27 - 1274*a**2\/9 + 811538*a\/9 + 3902. What is r in n(r) = 0?\nAnswer: 637","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 55559?\nAnswer: 7, 7937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let f(i) be the third derivative of i**5\/60 - 7*i**4\/24 - i**3 + 5*i**2. What are the prime factors of f(9)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.9171 rounded to one dp?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 137\/198 and 173\/270.\nAnswer: 2970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 10?  (a) 1\/6  (b) 0.4  (c) 0.1  (d) -400.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -7 + 2. Let b(h) = -2*h + 0*h + 3 + 4*h. Let s(p) = p + 1. Let w(m) = b(m) - s(m). Calculate w(c).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*f = f - 20. Suppose -b = f*d + 2*b - 255, -2*b + 65 = d. Let w be (((-9)\/(-3))\/(-9))\/((-1)\/d). Which is greater: w or 20?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(s) = s + 1. Give t(0).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(425)*1 - -3*(2 + sqrt(17))**2)*6*-4 + -3)*-3.\nAnswer: 4545 + 1224*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let r(m) = 2*m**3 + 15*m**2 + 44*m - 5. Let u(b) = b**3 - 3*b**2 - b + 1. Calculate -r(c) - 5*u(c).\nAnswer: -7*c**3 - 39*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 1\/10 of a litre?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 237 minutes after 1:43 PM?\nAnswer: 5:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 4 a factor of 324?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -92.5 - -92.6. Which is the closest to 0?  (a) -1\/5  (b) -0.79  (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 474 minutes after 7:32 AM?\nAnswer: 3:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -323 + 164 + 159 - 4*p**2.\nAnswer: -4*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -28 + 26. Let i be (-5)\/u*78\/65. Suppose 36 = 3*q + s - i*s, 5*q + 5*s = 60. What is the units digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-3*w + 0*w + 2*w + (4 + 1 - 3)*(-2*w + 4*w - w) - 277*w - 231*w - 47*w)*(-1 + 2 + 1) to p + r*w and give r.\nAnswer: -1108","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let l(o) = 138*o**3 + 15*o**2 - 9*o - 13. Let w(b) = 69*b**3 + 7*b**2 - 4*b - 6. Give 6*l(r) - 13*w(r).\nAnswer: -69*r**3 - r**2 - 2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 53, 53, 51, 47, 41, 33, 23?\n\"Answer: -z**2 + 3*z + 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is (32\/((-144)\/(-9)))\/(1\/(-7))?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*w - w + 0*w - 2*w = 0 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*k + 3*k = 5*h + 30, -2*k + h + 16 = 0. Calculate the common denominator of -53\/3 and 2 + k\/((-600)\/378).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(u) = 3*u**3 - 17*u**2 - 62*u. Give m(-3).\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -6828 + 8*q - 585*q**4 + 8*q + q**2 - 16*q - 1383*q**4 wrt q?\nAnswer: -7872*q**3 + 2*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(n) = 1206*n**3 + 14*n**2 - 6*n + 15. Let r be b(10). Let d = r - 747355. What is d rounded to the nearest one hundred thousand?\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -2, -2\/23, -15, 0.3?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -227, 929, 2841, 5503, 8909, 13053, 17929?\nAnswer: 23531","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Express (2 + 0 - 1)*(-b**2 + 4*b**2 - 6*b**2) + 4017*b - 838*b - 6*b**2 - 52 + 52 in the form g*b + c + j*b**2 and give g.\nAnswer: 3179","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let z(t) = 2*t + 14. Let s be z(-7). Suppose 3*d - 10 + 1 = s. What is the derivative of -5 + d*v + 2 + 0*v - 2*v wrt v?\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 3812, 5446, 8168, 11978, 16876, 22862?\nAnswer: 29936","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -80, -298, -668, -1196, -1888?\n\"Answer: -r**3 - 70*r**2 - r - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*u = 6*u + 10. What is the remainder when (24\/(-10))\/(3\/(-10)) is divided by u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(l) = 3 - l**2 - l**3 - 2*l**2 + 0*l**2. Let w = 60 - 109. Let j be (-8)\/28 + 133\/w. What is o(j)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*l = 5*v + 48, -l - 5 = 2*v + v. Suppose 0 = o - x - l, x - 21 = -5*o - x. Let u = 23 + -23. Put -1, o, u in decreasing order.\nAnswer: o, u, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*u + 6 = -2*w, 12*w - 2*u + 3 = 11*w for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let o(g) = 7*g + 2. Let r(t) = 49*t**2 - 8*t. Let k(x) = -55*x**2 + 9*x. Let p(y) = 8*k(y) + 9*r(y). Determine p(o(z)).\nAnswer: 49*z**2 + 28*z + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 0 + -5. Let t = -4 - a. Let l = 13.03 + -13. Sort l, t, 5 in ascending order.\nAnswer: l, t, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -126 - 91. Let v = -256 - -577. Let q = i + v. Does 13 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*j = 0, 5*h - 2*j + 1155 = 3*j. Let n = -138 - h. Suppose -3*t - 32 = -4*t. Calculate the remainder when n is divided by t.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -25 - -37. Is s a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*d + 10*d - 150660 = 0. Suppose 2*s = -2*y + 3*s + d, 0 = -3*y + s + 15065. Suppose 5851 = 3*r - t, 3*t + 838 + y = 3*r. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 37916759 to the nearest integer?\nAnswer: 6158","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2 = z - 5. Suppose -l - 4 = -z. Solve s + l*m - 4*m = -4, 0 = -4*m for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(h) = 14*h**2 - h + 1. Suppose 6*u - 4*l - 8 = 2*u, -7 = -3*u + 2*l. Suppose -b + 24 = u*b. What is the least common multiple of b and i(1)?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -35548, 3\/4, 7.96?\nAnswer: -35548","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let v(b) = -b**2 - 321*b. Let j be v(0). Solve j = -3*a - i - 7, 2*i = 17*a - 20*a - 2 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 74\/26 - (-16)\/104. Solve -4*z + 29 = -2*d + x, -2*d - 16 = -2*z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 201, 399, 597, 795?\n\"Answer: 198*x + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -684 divided by -171?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let x(v) = v**3 - 4*v**2 + 3*v. Let u be x(3). Suppose u*f + f = 2. What is the lowest common multiple of f and 9?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (l**(1\/4))**(-14)\/((l*l*l\/(l*l\/(l*l**(-6\/7)*l)*l)*l*l*l*l*l)\/(l\/(l*l**(-33)*l*l*l))) assuming l is positive.\nAnswer: l**(285\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 2*r**5 - 301936*r**3 - 3*r**2 + 278*r - 540 wrt r?\nAnswer: 120*r**2 - 1811616","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 4357 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -2033*k - 152*k - 78660 for k.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 58\/1497 and -43\/4990.\nAnswer: 14970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 3\/4, -67, 1, -0.5, 0.1, -7\/4?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (8\/14)\/(4\/14). Suppose 0*m - k*i = m - 8, -5 = -i. What is the smallest value in 2, m, 3?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -508655*r**2 - 1525840*r + 375 = 0. Calculate r.\nAnswer: -3, 25\/101731","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let c(v) = -v - 2. Let k be c(-4). What is the second derivative of 8*w**4 - 5*w - 3*w**k + 3*w**2 wrt w?\nAnswer: 96*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 468 is divided by 49.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -41\/4181793 and 9\/49.\nAnswer: 29272551","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -38.429 + 3.429. Which is the nearest to 1\/2?  (a) 1.8  (b) y  (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:59 AM and 8:17 AM?\nAnswer: 438","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in -0.5, -47, -25, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 3 - (1 + -2 - -1).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w(s) = 21*s**2 - 10*s + 5. Let n(c) = 16*c**2 - 8*c + 4. Let q(k) = -5*n(k) + 4*w(k). Let f(a) = 23*a + 3. Calculate q(f(i)).\nAnswer: 2116*i**2 + 552*i + 36","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*x = -3*w + 21, -2 = -5*x + 8. Suppose 652394 = -w*s - 468351. Let f = 67851 - s. What is f rounded to the nearest 10000?\nAnswer: 290000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1 times -0.30286\nAnswer: -0.30286","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: 798 times 0.96\nAnswer: 766.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4620*y**2 + 2859*y**2 - 7487*y**2.\nAnswer: -8*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let v(n) = -n**3 + 12*n**2 - 56*n + 8. Give v(6).\nAnswer: -112","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let v(g) be the second derivative of -g**3\/3 + 2*g**2 + 2*g. Suppose 0 = -n + b + 4, 11*b - 169 = 5*n + 33*b. Calculate v(n).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1629.912 years to centuries.\nAnswer: 16.29912","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 16\/(-20)*5\/(-2). Suppose d*j - 3 = 3. Solve 4*v = -3*c - j, c = -6*v + 4*v - 3 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1*sqrt(1573)*-1.\nAnswer: -11*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:26 PM and 8:07 PM?\nAnswer: 41","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -108 - -439. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*r + r - 2*r)*(-1567*r**2 - 408*r**2 + 91*r**2).\nAnswer: -3768*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -87*h**3*q - 27*h*q**3 - 203*q**3 wrt h.\nAnswer: -261*h**2*q - 27*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0014404258 rounded to five decimal places?\nAnswer: 0.00144","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 47817770 to the nearest integer?\nAnswer: 363","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1070?  (a) 0.2  (b) 2  (c) -1\/6  (d) 0.1  (e) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify y*y*y*y*y**4*y*y*y**11*(y**(2\/7)\/y)**(15\/7) assuming y is positive.\nAnswer: y**(954\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*d - 164 + 168 = 4*v, -3*d = -2*v - 20 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 87211 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (r*r\/((r\/(r*(r*(r**(-11)*r)\/r)\/r))\/r))\/(r\/r**(-3\/2)*r)*r**(-11)\/(r**(3\/2)\/r) assuming r is positive.\nAnswer: r**(-23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in 701689.8cm?\nAnswer: 7016898000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -50 - -50. Suppose y = 2*j - 47 - 3. Suppose 27*u = j*u + 366. List the prime factors of u.\nAnswer: 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 184293960017 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -5801 + 18610. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: -4052160 divided by -192\nAnswer: 21105","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -0.05  (b) -0.4  (c) 4\/3  (d) 0.3  (e) -1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 2\/(-7 + -3) - 4296\/(-5) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 16 + 1 + (-5)\/(-5). Let g(w) = 27*w - 32*w + z*w + 6*w. Let o(l) = 4*l. Calculate o(g(k)).\nAnswer: 76*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*d + 5*r + 68, -3*r - 6 = d - 51. Does 11 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 14 + -11. Factor -4*h**o - 31*h - 4*h**4 + 8*h**2 + 31*h.\nAnswer: -4*h**2*(h - 1)*(h + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 36 and 108?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let h(s) be the third derivative of -s**5\/12 + s**4\/24 + 9*s**2 + 3. What is h(1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 471 and -23497.4.\nAnswer: -11067275.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -792 + 795. Let n = -11 + 7. Which is the closest to 1?  (a) i  (b) n  (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*h - h + 8. Let w be (-4 + h + 0)\/(-1). Suppose -w = 4*i - 50. What is the highest common divisor of i and 18?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 17*v**3 + 409566*v**2 + 57153876?\nAnswer: 51*v**2 + 819132*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 95196684 to the nearest integer?\nAnswer: 457","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let v be -3 - -176 - ((-2 - -11) + -5). What is the highest common divisor of 91 and v?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*a - 3*a - 4*c + 1187, 0 = -2*a - 3*c + 479. Let n = a - 126. What are the prime factors of n?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 21907768 and 24?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Divide 0 by -143.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let n(z) = -2*z. Let r(x) = -35*x - 2. Determine r(n(g)).\nAnswer: 70*g - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let t(f) be the third derivative of f**4\/6 + 2*f**3\/3 - 3*f**2. Let b be 12\/(-9*1\/6) - -2. Give t(b).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(z) = -2*z + 29. Let k(v) = v. Determine c(k(m)).\nAnswer: -2*m + 29","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1028*z - 3125 = -3654 + 11837 for z.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -0.9 - -1.1. Let l = 920 + -919. Which is the nearest to 1?  (a) -0.1  (b) l  (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2221*n + 2223*n = 10*j - 230, 0 = 5*j - 2*n - 110 for j.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"}
{"text":"Question: Is 4222 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 10 - 2595*v - 2670*v - 2663*v - 10 + 7931*v.\nAnswer: 3*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let q(b) = -3*b**3 - b**2. Let d be q(-1). Suppose -2 - 2 = -d*y. Calculate the highest common divisor of 4 and y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-4*h**3 - 2*h**3 + 4*h**3)*(-1060*h + 14 - 14 - 461*h) in the form i + z*h**4 + u*h + k*h**3 + w*h**2 and give z.\nAnswer: 3042","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let s(x) = -23*x + 209. Let f be s(4). Is 120 > f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -22\/1629 and -85\/140456.\nAnswer: 1264104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Express -6*o**3 + 55 + 8*o**3 - 366*o + 70 - 124 as i + p*o**3 + r*o + c*o**2 and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -16*n**3 - 208*n**2 + 2 + 1 - 25 + 215*n**2 + 5*n**4 wrt n.\nAnswer: 120*n - 96","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(o) = -199*o - 258. Let j be m(-2). Calculate the greatest common factor of 440 and j.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 1.7 + -11.7. Let d = -14 - u. Let h = 66 - 66.4. Which is the second biggest value?  (a) -5  (b) h  (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-1926)\/1914 - (-3 - -4)*-1. Are 0 and k unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(o) = o**3 - 18*o**2 - 14*o + 469. What is t(16)?\nAnswer: -267","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -11.5 - -3.9. Round j to the nearest integer.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(d) = -3*d**3 + 4*d**2 - 5. Let j be f(-2). Suppose j*p - 5005 = 24*p. What are the prime factors of p?\nAnswer: 5, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 68 a factor of 7969?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let z(c) = 20*c**3 - c**2 + 2*c - 1. Let q be z(1). Suppose -5*u + q = -u. Solve -13 = -3*j - 10*a + u*a, j - a + 1 = 0 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 19*x - 80*x + 59*x.\nAnswer: -2*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is -37446.472 rounded to the nearest 10?\nAnswer: -37450","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*f - 267 = -2*j - 5945, j = -f + 1421. What is the thousands digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(s) = s**2 + 286*s - 2036. Let o be p(7). What is the greatest common divisor of o and 951?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(n) be the second derivative of -11*n**6\/15 - n**4\/4 + 8*n. What is the third derivative of d(a) wrt a?\nAnswer: -528*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence yyyy when four letters picked without replacement from {c: 3, y: 2}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -93.81 + 95. Let t = y - 0.22. Round t to 1 decimal place.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -3671303 at most -3671237?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of 261, 539, 831, 1137, 1457, 1791?\n\"Answer: 7*v**2 + 257*v - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -39\/114952 and 35\/18.\nAnswer: 1034568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1*(sqrt(2695) + (sqrt(2695)*-1 + sqrt(2695))*-5))\/((sqrt(640)*1)\/(sqrt(8)\/(sqrt(16)\/sqrt(4)))).\nAnswer: 7*sqrt(11)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 0 or -31\/11?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -738 divided by -7215.\nAnswer: 246\/2405","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -64*l + 20*l - 236*l + 18*l - 76*l.\nAnswer: -338*l","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"}
{"text":"Question: How many hours are there in 13\/4 of a week?\nAnswer: 546","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f(d) = 5*d**2 - d. Let m(l) = 4*l**2. Let v = 34 - 38. What is v*m(r) + 3*f(r)?\nAnswer: -r**2 - 3*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 120*c - 2*m = 125*c - 234, -c = -5*m - 63. Suppose 70 + 122 = c*n. Determine x so that 3\/4*x**3 - 2 + 1\/4*x**n - 3*x - 1\/2*x**2 = 0.\nAnswer: -2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 420851911 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let k(y) = 23*y - 109. Let h be k(-9). Let s = -317 - h. Suppose 4*n - 26 = 7*j - 2*j, 2*j = -2*n + 4. Put -5, j, s in descending order.\nAnswer: s, j, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -2 or -51?\nAnswer: -51","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let d(x) = 30*x**2 + 9*x - 19. Let r be d(3). Let p = -181 + r. What is the tens digit of p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -4 - 41?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 295428 to the power of 1\/2, to the nearest integer?\nAnswer: 544","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is -64396.6647 take away -6.9?\nAnswer: -64389.7647","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let g be ((-6)\/2)\/(-3)*(-425)\/(-5). Let d = -25 + g. Is d a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 65, 43, -1 in decreasing order.\nAnswer: 65, 43, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*z - 10 + 0 = 0. Let x = z + 3. Let r(s) = s**2 + 7*s. Let p(u) = 2*u**2 + 15*u. Let n(o) = -6*p(o) + 13*r(o). Calculate n(x).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 3 + 3 + 4*k**2 - 2 to l*k**2 + d + o*k and give d.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let z(f) = -4 - f**2 + 0*f - 6*f + 3. Suppose -8*b = -6*b + 12. Determine z(b).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 8 + (1 - 1) - 1 - 2?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 223 minutes before 8:29 PM?\nAnswer: 4:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: -272.1*-11\nAnswer: 2993.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((4*c**3 - c**3 - 4*c**3)*(5 + c - 5) - c**4 + 0*c**3 + 0*c**3)*(3*c + 3*c + 0*c).\nAnswer: -12*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 42 = 6*k + 24. Is -11 smaller than k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 1001001001 - 0?\nAnswer: 1001001001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let -2*u**4\/13 - 14*u**3\/13 + 6816*u**2\/13 - 78552*u\/13 + 231552\/13 = 0. Calculate u.\nAnswer: -67, 6, 48","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 2599 + -1811. Does 19 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 63839 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: Let o = -228 + 234. Solve q - o = 3*q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*l - 5 = -121*f + 124*f, 8*f + 26 = 2*l for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 2\/6*(-3342)\/(-10). Let p = h + -111. Which is the nearest to 1\/4?  (a) -3\/5  (b) p  (c) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-2 + 0)\/((-17)\/(9996\/(-77))). What is the closest to -0.1 in j, -0.5, 2?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(r) = 4*r + 9. Let c(k) = -7*k - 17. Let b(l) = 6*c(l) + 11*n(l). What is b(2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 24\/1547 and -45\/476.\nAnswer: 6188","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let f(g) be the second derivative of 3*g**5\/40 - 29*g**4\/8 - 31*g**3\/2 + 579*g. Find y such that f(y) = 0.\nAnswer: -2, 0, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*f + 4*s + 1 = 0, 3*f - 7*f - 4*s = -4. What is the units digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 14973 a multiple of 114?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from skkkkkkkkkkkskbkk. What is prob of picking 1 s, 1 k, and 1 b?\nAnswer: 7\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 120098463?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -7, 10, -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-1 - -1 - -2) + 2. Suppose -2*f + 208 = -3*v - 0*f, 0 = c*v - 2*f + 274. Let j = -38 - v. Is j a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 23050?\nAnswer: 2, 5, 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 2\/(-11) + (-175)\/(-55). Let l be -3 + 3 + t\/34. Let s = -1390 - -1390. Which is smaller: s or l?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (26\/(-5))\/((-64)\/(-38)). Let m = d - -75\/16. Factor -2*z**2 + 16\/5*z + m.\nAnswer: -2*(z - 2)*(5*z + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 104.234271 - 104.24. Round y to four decimal places.\nAnswer: -0.0057","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: -1 + (14 - 4) - (-6 + 3 - -6)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3 - 11 = -v. Suppose -10 = -6*b + b. Suppose -12 = -b*s + 5*t + 2, -t = s. What is the lowest common multiple of v and s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine v, given that 26\/7*v - 26\/7*v**3 - 6\/7 - 2\/7*v**2 + 8\/7*v**4 = 0.\nAnswer: -1, 1\/4, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(b) = b. Let z be h(-2). Is 278\/8 + z\/(-8) a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of 0.3 and -0.015.\nAnswer: -0.0045","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2301 is divided by 30.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: 759 (base 11) to base 10\nAnswer: 911","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 37\/2114950 and 6\/211495?\nAnswer: 2114950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 1379659142 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 43\/(6966\/(-252))*(-86)\/4. Is 34 at most as big as o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 590901374.\nAnswer: 2, 7, 3307, 12763","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 35 a factor of 476210?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 175883, 351752, 527617, 703478, 879335?\nAnswer: 1055188","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, -967, 22\/5, 0, -250 in decreasing order.\nAnswer: 5, 22\/5, 0, -250, -967","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -556548, -1113085, -1669622?\nAnswer: -2226159","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a(w) be the first derivative of 93*w - 85 + 0*w**2 - 38\/3*w**3. What is the derivative of a(h) wrt h?\nAnswer: -76*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of (3\/(30\/(-788)))\/(3\/(-45))?\nAnswer: 2, 3, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 44, 95, 150, 209, 272?\nAnswer: 339","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (68\/(-51))\/(20\/12)?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 4499 is divided by 4228?\nAnswer: 271","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 282.9804 + 0.0196. Let p = 283.0000181 - o. What is p rounded to six dps?\nAnswer: 0.000018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: -133 divided by -133\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 133 + -120. Suppose w - j*w = -3252. What is the remainder when w is divided by 28?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 3.577 or 128.8?\nAnswer: 128.8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5 + -2 + sqrt(99) + -3)**2*-6 + -2*(sqrt(99) + sqrt(99) + -4) + (sqrt(99) - (sqrt(99) + -4)*-4).\nAnswer: -1202 + 363*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Express q**2 + 549 + 5*q + 546 - 12*q**2 - 1091 in the form h*q + m*q**2 + s and give m.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 33 minutes after 5:29 AM?\nAnswer: 6:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let k(v) = -3*v + 366. What is the remainder when k(-47) is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -98 + 106. Let u(i) = i + 1. Let x(b) = -68*b - 26. Let z(t) = -3*u(t) - x(t). Is z(c) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 - 1 + 1)*(-2 + 1 - 1)*(-r**5 - 5*r**5 - r**5).\nAnswer: 42*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is twenty-seven fifths of a century in years?\nAnswer: 540","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 851527 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 1\/2*((-21 - 8) + 25). Sort 32, -1, 50, g.\nAnswer: g, -1, 32, 50","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of 0.5 and 78542.\nAnswer: 39271","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((-h + 2*h + h)*(0 + 1 + 0) + h - 2 + 2 - 77*h - 120*h + 124*h + 4)*(7*h + 5*h - 18*h)*((2*h + 1 - 1)*(-2*h + 5*h - 5*h) + h**2 + h**2 - 3*h**2).\nAnswer: -2100*h**4 + 120*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -2130 + 10130030?\nAnswer: 10121300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -493 - -500. Suppose -i*r = 47 - 327. What is the remainder when 73 is divided by r?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 4 + (1 - (3 - 2))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z(j) = j**2. Let u(f) = -f**2. Calculate 5*u(k) + 6*z(k).\nAnswer: k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -12000 + 11212212?\nAnswer: 11200212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.29 * 72.\nAnswer: -20.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let c be -1 - ((-231)\/75 - -2). Let v = c + 94\/75. Is v smaller than 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-101*j**2 - 12*j**3 + 101*j**2)*(3*j - 2*j + 0*j)*(-7 + 4 + 2)*(-5 + 2 + 4) in the form x*j**3 + t*j + z*j**2 + m + o*j**4 and give o.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*h - 4*h = -4. Let s be (4\/h)\/(2\/4). Solve 11 = -3*a + s for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-1)\/5 + 305\/25 + 0. Calculate the highest common divisor of h and 252.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from mdosdmm. What is prob of sequence ms?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (17 - 19) + 6 + -7.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o be ((-84)\/(-8))\/(-7) + 3\/2. Suppose -7*c - 31 + 45 = o. Sort -2, -4, c.\nAnswer: -4, -2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 530754.\nAnswer: 2, 3, 7, 12637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -1316, -3248, -5170, -7076, -8960, -10816, -12638, -14420?\nAnswer: -16156","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -5*g**3 - 853*g**2 + 1715*g**2 - 862*g**2 - g**3.\nAnswer: -6*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let t(b) = b**3 - 4*b**2 - 80*b - 23. Determine t(11).\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -7\/10 - -19\/70. Let r = 119.4 - 120.4. Which is the closest to r?  (a) s  (b) 2  (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence pn when two letters picked without replacement from opfnb?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 6239 + -4226. List the prime factors of y.\nAnswer: 3, 11, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 7495 - 7231. What is the greatest common factor of 1364 and k?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(o) = -o**3 - 11*o**2 - 1224*o - 16239. Calculate v(-13).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((3*c**2 + c**2 - 2*c**2)*(4 + 2 + 1) + (-2*c - 2 + 2)*(c - 1 + 1))*(-19*c + 2*c + 6*c).\nAnswer: -132*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence qtzt when four letters picked without replacement from {t: 6, q: 11, z: 1}.\nAnswer: 11\/2448","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 2 + (6\/(-4))\/((-3)\/(-6)). Let f be (-2)\/(4 + 0) + w\/(-2). Suppose -5*k + 879185 + 2470815 = f. Round k to the nearest one hundred thousand.\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(j) = 173*j**3 + j**2 + 11*j - 19. Let i = 609 + -607. What is the thousands digit of k(i)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1471+-217307734694\nAnswer: -217307733223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 34599 is divided by 16?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -3509 divided by -2031.\nAnswer: 3509\/2031","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -685  (b) 4  (c) 3\/5  (d) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3 - 1 + 2)*(0*q - q - q)*(-28 + 6*q + 28).\nAnswer: 24*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((160\/(-96))\/(8\/6))\/(9\/(-4)*-3).\nAnswer: -5\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.000190179978 to 5 dps.\nAnswer: 0.00019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 48\/15*25\/10. Find the third derivative of 5*g**2 - k*g**5 + 3*g**4 - 3*g**4 wrt g.\nAnswer: -480*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 790731?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 2448 - -12953. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be ((-1)\/(-3))\/((-9)\/(-270)). Let c = -5 + 8. Let z(s) = -s**3 + 4*s**2 - s + 3. Let q be z(c). Solve 2*g - q = 3*b - 23, -4*g = 3*b + x for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 24 divide 1224?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 10 and 256.\nAnswer: 2560","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -9 - (-5 - -8) - (-7 - -2)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Round 509.75 to the nearest one thousand.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*s**2\/7 + 24*s\/7 + 22\/7.\nAnswer: 2*(s + 1)*(s + 11)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5 = 4*x - 5*x, -2*x + 11 = 3*m. Solve -3*a - q - 17 = 2, a = 3*q + m for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-f**2 + f**2 + f**2)*(430*f**3 - 391*f**3 - 1612*f**3).\nAnswer: -1573*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 123 and 168?\nAnswer: 6888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-1*(-3)\/(60\/122)*-2)\/(36222\/(-181110))?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 - 2 - 1)*(92*d**5 + 3312*d**2 - 3312*d**2).\nAnswer: -184*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (0\/32)\/(3 - 2). Factor 2\/11*p**4 + 4\/11*p - 4\/11*p**3 + g - 2\/11*p**2.\nAnswer: 2*p*(p - 2)*(p - 1)*(p + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -3 - -2.6. Let l be ((-20)\/(-10))\/((-6)\/(-54)). Suppose -3*t - l = -12. What is the biggest value in -4, t, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/4 of a millimeter in micrometers?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j(o) be the third derivative of 17*o**6\/360 - o**5\/60 + o**4\/12 - o**3\/2 + 2*o**2. Let z(k) be the first derivative of j(k). Does 7 divide z(1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1.073*-0.37\nAnswer: -0.39701","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let b(c) be the first derivative of -c**3\/3 - 3*c**2\/2 - c - 12. What is b(-3)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 - 2*f + 0)*(2 - 2 - 2*f**2 - f**2 + 0 + 0 + (4*f - 3*f - 3*f)*(-f + 4 - 4) + 6*f**2 - 3*f**2 + 2*f**2).\nAnswer: -8*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let k(q) = 5*q. Suppose -x + 32 = 2*v, -9*v + 4*v + 3*x = -102. Let s(d) = -v*d - 14*d + 34*d. What is k(s(h))?\nAnswer: 10*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let v be ((-24)\/14)\/((-6)\/42). Suppose v*i - 7*i = 3070. Let w = i + -423. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 589 - 359. What are the prime factors of a?\nAnswer: 2, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 87.65186 litres to millilitres.\nAnswer: 87651.86","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -4351 (base 11) in base 15?\nAnswer: -1a7d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 1596167?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -0.98334 - -1.002. Round d to three decimal places.\nAnswer: 0.019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 672322555?\nAnswer: 5, 67, 911, 2203","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in -4, -1, -13, -1\/541, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is (-2 - 0\/3)*1\/2?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 132, 172, 212?\nAnswer: 252","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Round -55625842040 to the nearest one million.\nAnswer: -55626000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6 = -2*g + 22. Is (-4)\/g + (-156)\/(-7) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-256)\/(-504) + (-2)\/9?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 5 in -2\/11, 109, -0.131, -1?\nAnswer: -0.131","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: -37.9 + -5\nAnswer: -42.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1*1308.\nAnswer: 1308","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 13\/255 - 11683\/4080. Calculate the common denominator of 89\/6 and v.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 505  (b) 2  (c) -18\/29\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -0.05 + 0.15. What is the closest to 0 in f, 4, 2\/17?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*w + 4 - 6. Let g = w + 1. Suppose 0*a - 4*a + 20 = 0. Solve -2*p - p - a*v = 27, g = -2*p + 2*v - 2 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 23.24504 nanograms to tonnes.\nAnswer: 0.00000000000002324504","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 25565, 204384, 689745, 1634918, 3193173, 5517780?\nAnswer: 8762009","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*r + 3*p = 3, 5*r + p - 50 + 15 = 0. Suppose -5*k = r - 6. Solve -3*l + 0*l + 12 = k for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*r - 2 = 5*s - 13, 4*r = 3*s + 9. Calculate the remainder when 2 is divided by s.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 43472 to the power of 1\/3, to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 1626 - 1626 + 8*s**3 - 3*s**2 - 2*s**3 + 3*s**2 + (2*s**2 - 6*s**2 + 3*s**2)*(0*s + 2*s - 3*s) to the form n*s**3 + j*s + i*s**2 + g and give n.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 43185 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -211 - -20122?\nAnswer: 12211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let z(j) = 3*j - 1. Let k(u) = -u**2 + 10*u - 3. Suppose 459*h = 319*h - 280. Calculate h*k(g) + 7*z(g).\nAnswer: 2*g**2 + g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let o(w) = -569999*w**3 - 2*w**2 + 2*w - 1. Let d be o(1). Round d to the nearest ten thousand.\nAnswer: -570000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((m**5)**(-4\/35)\/((((m*m**(-7\/3))\/m)\/m)\/(m*m*m**5*m)))**27 assuming m is positive.\nAnswer: m**(2034\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 133076454.\nAnswer: 2, 3, 7, 64663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 6.28 - 6.2439. Round i to three decimal places.\nAnswer: 0.036","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-1)\/(-4) - ((-1245)\/60 - -3). Calculate the highest common factor of 90 and o.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 5 + -2. Suppose -2*n - 6 = -4*n. Suppose 2*m = 0, 2*z - n = m - 1. Solve 0 = -g*f + 5*p - z + 5, -4*f + 10 = -2*p for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(x) = 83914*x + 335660. Determine z(-4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 27 + -29. Let y be (-4)\/10 + 12\/5. Let p(c) = 3 - 3*c + c - y. Determine p(l).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 916*n + 918*n - 1844*n.\nAnswer: -10*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2 + ((-3 + (sqrt(833) + (sqrt(833)*-1 - sqrt(833)))**2 + sqrt(833))*3 + (2*sqrt(833)*-6 - (sqrt(833) - (1 + sqrt(833))*2)) + 4)*5.\nAnswer: -280*sqrt(17) + 12478","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 22406065567 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Work out -59 * -0.08.\nAnswer: 4.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let k(o) = 71*o**2 + 3*o - 3. Let p(t) = 25*t**2 + t - 1. Let m(d) = -2*k(d) + 6*p(d). Let i(z) be the third derivative of z**5\/12 - z**2. Give i(m(w)).\nAnswer: 320*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 19 + 7. Let t = -14 + l. Suppose -58 + t = -2*s. Does 23 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -2316, -2356, -2392, -2424, -2452?\nAnswer: -2476","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 31679631 is divided by 16.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*w + 10 = -5*y, 0 = -y - w - 4*w + 16. Let j be (-3)\/(-1)*(-1)\/(-3). Let t be -2*((-1)\/j + 2). Sort t, y, -5 in decreasing order.\nAnswer: y, t, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(z) be the second derivative of 0*z**2 + 0*z**3 + 1\/12*z**4 + 0 - 1\/4*z**5 + 9*z. What is the third derivative of d(o) wrt o?\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1 or 29\/16494155?\nAnswer: 29\/16494155","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 15913 and -53001.\nAnswer: -843404913","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: 111211 (base 5) to base 7\nAnswer: 14314","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((m*m**(1\/11)*m)\/(m*m**(14\/3)))**(23\/3) assuming m is positive.\nAnswer: m**(-2714\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (y\/(y*y*y**(2\/25)))\/(y\/(y\/(y*y**19))) assuming y is positive.\nAnswer: y**(-527\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -l + 3*j + 31, 4*l + 5*j - 90 = 0. Which is greater: 24 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -44.1 at most -128.9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((l*l**(1\/25))\/(l\/l**(-1\/7)))\/(l**(-1\/45)\/(l\/(l\/(l*l**30)))) assuming l is positive.\nAnswer: l**(48698\/1575)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 102266700?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 759587 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 14137 + 9*h**2 - 14137 - 68*h to the form q*h**2 + u*h + s and give u.\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -10.31 + -3.39. Round f to zero dps.\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6\/5*x**4 - 3\/5*x**5 - 6\/5 + 6\/5*x**3 + 12\/5*x**2 - 3\/5*x = 0. What is x?\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 8421 < -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from jmlml. Give prob of sequence mjmm.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 47, 145, 293, 491, 739?\n\"Answer: 25*x**2 + 23*x - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -2 + 6. What is the third derivative of -3*a**3 - a**2 + 2*a**4 - 3*a**c + 3*a**3 wrt a?\nAnswer: -24*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -43\/616 and 55\/1424?\nAnswer: 109648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (t\/t**(-1\/20))\/t**(-3\/4) assuming t is positive.\nAnswer: t**(9\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 8 + (-19 - -5) - 5.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(1216) - 2*sqrt(1216)*3 - sqrt(1216).\nAnswer: -48*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -13020 divided by -420.\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 689 minutes before 3:22 AM?\nAnswer: 3:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (12 - 7)*(-32)\/(-10). Differentiate -17*s**2 + 10*s - 2*s - 8*s + g wrt s.\nAnswer: -34*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 295 minutes after 9:20 AM?\nAnswer: 2:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 197399132 and 6289?\nAnswer: 6289","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 111 and 5883.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 1331 and 161689.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(104)\/sqrt(2)*-4 - (sqrt(832) + -1)*1.\nAnswer: -16*sqrt(13) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 672 times 0.5?\nAnswer: 336","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 9581 is divided by 102?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 2  (b) -1  (c) 17\/43  (d) 0.5  (e) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 5043 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((2*(-4)\/(-8))\/(-1))\/4.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 1683\/4 - 25073\/60. What is the common denominator of 113\/60 and b?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 610 and 183.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*f + 29 - 13 = 0 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1\/3?  (a) 5  (b) 0.1  (c) 1  (d) -521\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-10 + 2)*(-2)\/4. Suppose -a = -6*a - v*x + 21, -2*a + 22 = 5*x. Let r(m) = 29*m**2 - m + 19*m**2 - 39*m**2. Give r(a).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence gqq when three letters picked without replacement from {q: 7, g: 4}?\nAnswer: 28\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0475551954 to 3 dps.\nAnswer: 0.048","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -10 - -8. Let a(d) = -d**3 + d + 1. Let x be a(h). Let q(z) = z**2 - 8*z + 9. Let w be q(x). Solve w*t - 2 = -0 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (0 + sqrt(68) + sqrt(1700) + 0)*6.\nAnswer: 72*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*c + 30480 = 2*d, 0 = d + 5*c - 15263 + 27. What are the prime factors of d?\nAnswer: 15241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be ((-498)\/120 + 4)*4\/(-6). Suppose 0 = 25*w - 23*w + 534. Let c = w + 2133\/8. What is the nearest to 0 in a, c, -0.2?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*c + 5*m - 122 = 0, 3*c - 4*c - 2*m + 15 - 5 = -37 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {j: 17, g: 1}. Give prob of picking 1 g and 2 j.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -y + 44 = 3*c + 2*c, -4*c = -3*y + 170. Suppose -4*k - 5 = 5*d, 3*d - 8*d + 25 = -2*k. Suppose y = -z + d*z. What are the prime factors of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(p) = 17*p - 117. Let c be f(7). Suppose 6*m - m = c*k + 704, -2*m + k + 282 = 0. What is the greatest common divisor of m and 35?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 122090 at most as big as 3784774\/31?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 426813 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -220*h + 33 + 46*h**2 + 6*h**2 + 218*h wrt h.\nAnswer: 104","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*l - 12491 = -4*t - 7*l, -2*t - 3*l = -6253. What is the tens digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose l = 4*m + 163, 3*m + 7 = l - 157. What are the prime factors of l?\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 209 and 5609351.\nAnswer: 209","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -8*b - u - 38 = 0, -419*b + 418*b - 3*u = -2*u + 3 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 183, 355, 525, 693, 859?\nAnswer: 1023","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve y + 2*t = 7, -67*y + 16 = -64*y + t for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:55 AM and 11:17 AM?\nAnswer: 502","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {j: 2, r: 1, b: 1, z: 1, s: 1, t: 1}. Give prob of picking 1 j, 1 z, and 1 t.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 17686 to the power of 1\/5, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:55 AM and 4:57 PM?\nAnswer: 482","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 7 - 3*f**3 - 12*f**2 + 4*f + 9*f**2 - 1 - 6 to the form p*f**3 + o + y*f**2 + t*f and give t.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 224 + 245?\nAnswer: 513","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -325, -276, -195, -82, 63?\nAnswer: 240","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-2)\/((-26)\/(-12)*6). Sort -0.7, s, -2\/11.\nAnswer: -0.7, -2\/11, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 102770 + -53046. List the prime factors of i.\nAnswer: 2, 31, 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -66 + 91. Let v be (78\/(-4))\/(-3)*(-5 + r). Round v to the nearest 100.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.2?  (a) -0.5  (b) -0.2  (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1019*u + 631*u + 491*u - 618*u.\nAnswer: 1523*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 - 2 + 2)*(-2*p + p + 0*p + (2 + 1 - 4)*(p - 3*p + 4*p) + p - 4*p + p + 4*p + 0*p - 5*p - 3*p + 8 - 8).\nAnswer: -18*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 244980?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -t**3 - 14514*t**2 - 58306*t - 7 wrt t?\nAnswer: -6*t - 29028","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -9*g**3 - 15*g**3 + 26*g**3.\nAnswer: 2*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Express -23227*q**2 - 40 + 21*q + 23227*q**2 - q**4 - 13*q in the form l*q**3 + w*q**4 + m*q**2 + z*q + f and give f.\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*p = p + 16. Let y(o) = -o**2 - 2*o + 2. Let v be y(p). Let u = 1 - v. What is the lowest common multiple of 3 and u?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10*x - 18507 - 26800 - 39383 = 0. What is the tens digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 4\/(-24) + (-8474)\/(-37677) and -37\/8.\nAnswer: 5288","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 31997 is divided by 400?\nAnswer: 397","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 332 is divided by 68.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -6 in 2\/9, -2, -0.5, 4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -5 and -0.70586.\nAnswer: 3.5293","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:20 AM and 3:48 PM?\nAnswer: 568","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let m(w) = 3*w - 9. Let q be m(7). Let r be 56\/q*(-9)\/(-6). Factor -2*j - 3*j + 4 - 2*j**2 + r*j.\nAnswer: -2*(j - 2)*(j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve l = -2*h + 18, -6*h + 525 - 480 = -h + 8*l for h.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -4360*g*m + 144469*g - 107*m**2 wrt m.\nAnswer: -4360*g - 214*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: 2\/12*(-1)\/1*(-30996)\/574\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -25*i**3 + 6480*i**2 + 5196*i + 1040 = 0. What is i?\nAnswer: -2\/5, 260","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: 8756*-62197\nAnswer: -544596932","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-2 - 12) + (-106 - -119)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*s = z - 18, -5*z + 64*s = 66*s - 9 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3\/5, -8, 4\/9, -36, -0.285 in increasing order.\nAnswer: -36, -8, -0.285, 4\/9, 3\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 110\/(-4)*3\/15*4. Let m be ((-8)\/5)\/(p\/55). Let j(v) = v**3 - 6*v**2 + 6*v - 2. Let l be j(5). Solve -s = -m + l for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*i + 4 - 4)*(3 + 0 - 1)*(7 + 21 - 15).\nAnswer: 52*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 4\/(-10) + (-48)\/(-20). Suppose 52 = i*v + 2*v. Suppose 2*o - v = 1. Solve -l = j - 4*j, 0 = l + 4*j + o for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be -1 - (2\/(-2))\/1. Let z be 0\/(-4) + -1 - 2. Put -5, f, z in increasing order.\nAnswer: -5, z, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 174864 is divided by 17468?\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -9 - -2. Let k = -529 - -507. Let l be (-186)\/31 - k\/2. Put l, u, -4 in descending order.\nAnswer: l, -4, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -163\/50100 and -53\/1452900?\nAnswer: 1452900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is -46.4 at least 34507?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -438 - -436. What is the lowest common multiple of (-1401)\/(-45) + (z\/15 - 0) and 8?\nAnswer: 248","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(s) = s**3 - 3*s**2 + 2. Let o be b(3). Let l = 8 - o. Is l not equal to 5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4*(((-1*2*sqrt(441) - sqrt(441)) + sqrt(441))\/(sqrt(108)\/(-2*sqrt(12))))\/((sqrt(8064)*-2)\/(sqrt(8) - 4*2*sqrt(8))).\nAnswer: 14*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let c(q) = 539*q**2. Let y(u) = 28*u. What is c(y(l))?\nAnswer: 422576*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*n = -2*y - 6704, -5*n + y = -3*y - 8383. What are the prime factors of n?\nAnswer: 5, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*z - z - 6. Let g(f) = -2*f**2 - 5*f. Suppose 12 = -3*t - 4*j + 2, 5*j + 18 = -t. Let x(w) = 4856 + 2*w**t - 4856 + 6*w. Give z*g(v) + 5*x(v).\nAnswer: -2*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let v be ((-116)\/(-18))\/(58\/522). Solve -52*y = -v - 46 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -101110101101101 (base 2) in base 6?\nAnswer: -302421","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*m = -34 + 42. Solve -1 = -y + m for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -2*k + j + 9, -21 = 89*k - 94*k + 2*j for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -4 and -187.1?\nAnswer: 183.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((h\/(h*h*h*h**1*h))**0*h\/((h*h\/(h*h\/h**8))\/h)*h*h**(-1)*h)**28 assuming h is positive.\nAnswer: h**(-140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is -6 + (5 + 1 - (88 - 74)) + 48 - 11?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 2*20\/24*(-9 - -3)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (12\/15)\/((-3)\/(-30)). Suppose -y = -2 - t. Solve -6*u + u = y for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 43314 (base 6) in base 7?\nAnswer: 23230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from tsz. Give prob of sequence zst.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {f: 1, b: 2, c: 1}. What is prob of sequence fc?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((w*w**(-1)\/w)**(-24))**(-6)*(w**(-1)*w)**37\/(w*w*w**(-1\/4)*w**(-5)) assuming w is positive.\nAnswer: w**(-563\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1?  (a) 0.6  (b) 0  (c) 0.4  (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: 2 * -0.05\nAnswer: -0.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-7)\/40 + 30\/100.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {w: 2, z: 1, q: 4, f: 1}. Give prob of picking 1 q and 1 w.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ljwnfnwnfnfwnwwwnwpn. Give prob of picking 1 j and 1 w.\nAnswer: 7\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 7706 is divided by (-687)\/(-7) - 4 - (1\/7 - 0).\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(j) = 4*j + 11. Let y(h) = 94*h + 38. Let n(r) = -53*r - 20. Let i(t) = 7*n(t) + 4*y(t). Calculate -7*f(l) + 6*i(l).\nAnswer: 2*l - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: 677 (base 9) to base 15\nAnswer: 271","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 25088 and 22512.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let a(l) = 8*l**2 + 516*l + 264. Determine a(-64).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -16947 + 8043. Let y = -4577 - h. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(i) = 536*i + 34. Let a be m(2). Suppose -3*t - 4*x = -851, -a = -3*t - 3*x - 251. What is the units digit of t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 142455851 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 1085976583 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -12087 - -12100. Solve 45*v + 58 = t for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 0.07 - 0.04. Let t = j + -0.33. Which is the nearest to 2\/7?  (a) t  (b) -1\/2  (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 6270 (base 11) to base 5.\nAnswer: 231210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -57 or 5?\nAnswer: -57","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.04?  (a) 2  (b) -3  (c) -0.1  (d) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 133*l + 537708 - 532920 for l.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let s(q) = -248*q**2 - 2625*q - 1121. Give s(-10).\nAnswer: 329","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let d(x) be the second derivative of x**6\/90 + x**5\/10 - 5*x**4\/12 + 4*x**3\/9 - 60*x. Factor d(f).\nAnswer: f*(f - 1)**2*(f + 8)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2 = -7*r + 12. What is the third derivative of 8*x**2 + 23*x**6 - 15*x - 13*x + 18*x**r - 29*x**2 wrt x?\nAnswer: 2760*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 22694\/(-10) - 12\/20. Let p = o + 9175\/4. Let d = -379\/8 + 205\/4. What is the common denominator of d and p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 0.026 - 0.086. Let r = 0.17 + 0.13. Which is greater: f or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -3308896, -6617802, -9926710, -13235620, -16544532?\nAnswer: -19853446","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Does 51 divide 91698?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let s(t) be the third derivative of -t**5\/12 - t**2 + 1331. Let v(x) = 267*x**2. Give s(v(i)).\nAnswer: -356445*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 60388699 to the nearest integer?\nAnswer: 392","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -552631, -1105260, -1657889, -2210518?\n\"Answer: -552629*y - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is -2\/59527 > 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: (-1 - -2) + 18 - 11\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q(v) be the second derivative of -v**5\/10 - 3*v**4\/2 - 6*v. Find the third derivative of q(r) wrt r.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 z and 1 t when two letters picked without replacement from {s: 6, z: 3, t: 8}?\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let f(w) = w**2 - 13*w + 16. Let r be f(18). Suppose 0 = m + 3*n + 82, -3*n = m - n + 83. Let q = m + r. What is the tens digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 348 - 514. List the prime factors of (q\/(-6))\/(-1 - (-21)\/18).\nAnswer: 2, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2*x**2 + 0*x**2 - 100*x**3 + 27*x**3 - 331*x**4 + 71*x**3 to v*x + w + g*x**2 + o*x**4 + t*x**3 and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 4 - 634?\nAnswer: -630","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*g = 2*g - 10. Let k = 6 - g. Suppose -4*s + s - k*u = -38, 5 = u. What is the units digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 12559999 is divided by 128.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Divide -3 by 5.\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: 2.366549 + 91\nAnswer: 93.366549","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 279 minutes before 2:26 AM?\nAnswer: 9:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*m - 5*g - 15 - 15 = 0, -4*g - 37 = -5*m. Suppose 3*d = 5*s, -3*s = -2*d + 6*d - 29. Let a(k) = 2 + 157*k - 3 - 5*k**2 - 155*k + k**s. Calculate a(m).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(z) = 5*z**2. Let u(p) = -5*p**2 + 8*p + 24. Let k(j) = -7*j**2 + 10*j + 24. Let x(n) = 4*k(n) - 5*u(n). What is y(x(c))?\nAnswer: 45*c**4 + 720*c**2 + 2880","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3*i**2 + 448*i + 6319*i + 2077*i + 3765*i - 4*i**2.\nAnswer: -i**2 + 12609*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:54 AM and 9:44 AM?\nAnswer: 470","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Are -11724 and -159 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 228448 to the power of 1\/2, to the nearest integer?\nAnswer: 478","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {a: 2, e: 7}. What is prob of sequence eee?\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let q(h) = -4*h - 7. Let o = -41 - -45. Let u(z) = z + 2. Calculate o*q(r) + 14*u(r).\nAnswer: -2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let v(h) = -2*h**2 + 2*h - 2. Let l(m) = m**2. Determine -l(f) - v(f).\nAnswer: f**2 - 2*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let r(i) = -i**2 + 9*i - 1. Let u be r(8). Suppose -3 - 11 = -u*q. Suppose q*o = -o - 4*v + 27, 11 = 4*o - 3*v. Solve 3*m = o*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1\/2 in 0.17, -1\/4, 0.03, -1\/111?\nAnswer: 0.17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((0\/7)\/(-10))\/((40\/5)\/(-4)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:43 PM and 8:10 PM?\nAnswer: 27","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3\/(78\/4)*(21 - (-11623)\/(-590)).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 t and 1 o when two letters picked without replacement from gerghhgtrthor?\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 677845.7 millennia in centuries?\nAnswer: 6778457","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s(k) = 7*k + 29. Let y(q) = 40*q + 24. Let d(t) = -60*t - 51. Let f(v) = 5*d(v) + 7*y(v). Calculate 6*f(i) + 17*s(i).\nAnswer: -i - 29","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*k - 20, 2*k - 133 = 5*f - 53. Let i = f + 59. What is the remainder when i is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: 341 divided by 1\nAnswer: 341","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 247*w - 3*h - 11 = 242*w, -2*h - 1 = 3*w for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand 1204*k**4 - 4 + 4 - 3*k + 2*k - 1061*k**4 + (k**2 + 2*k - 2*k)*(5 - 5 - 2*k**2).\nAnswer: 141*k**4 - k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 0.04 - -0.16. Let t = 5 - 6. Which is the closest to 2\/7?  (a) 2\/3  (b) w  (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(k) = 19*k - 50. Let j(w) = -26*w + 68. Let t(u) = 8*j(u) + 11*z(u). Calculate t(-6).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(k) = 2*k. Let a be l(-2). Let v be ((-56)\/a)\/(2\/2). Calculate the highest common factor of 35 and v.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -6054 - -6054.3. What is the third biggest value in 0.2, -12, 9\/29, w?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 324.445909 to two decimal places.\nAnswer: 324.45","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 2 - (-11 + -2 + -1). Suppose -4 - 20 = -4*z + 4*y, c = 3*z - 2*y. Solve -z*f + 17 = -0*f + 3*o, 0 = 2*f + 3*o - 13 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4 - 3 - 4)*(-3 + 3 + o) + 3*o + 0*o - 4*o + 4*o - 3*o + 5*o + (3 + 2*o - 3)*(-1 - 4 + 4) + 0*o + 0*o - 3*o.\nAnswer: -3*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 4.2 - 4. Let w = u - 0.2. Let i = w + 1. Sort i, 0.5, 1\/3 in descending order.\nAnswer: i, 0.5, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -69 - -78. Sort z, 0, 1, -3.\nAnswer: -3, 0, 1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-40 - -29) + 68 + -4 + 0 - (-1 + -1)?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -13203422122 + 2?\nAnswer: -13203422120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*q - f - 9 = 0, -7*f + 4*f = 2*q - 15 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from kfccccffc. Give prob of picking 1 c and 1 k.\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 201?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 1039065612 to the nearest integer?\nAnswer: 1013","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Express 2*l**2 + 2*l**2 - l**2 + (3*l + 0*l + 0*l)*(-7*l - 14*l - 13*l) in the form n*l + y + u*l**2 and give u.\nAnswer: -99","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((p**12*p)\/(p\/p**(-2\/23)))\/(p\/(p\/p**(2\/5)))**(-1) assuming p is positive.\nAnswer: p**(1416\/115)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -7 + (13 - (-24 - -22)) + 16?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w(z) = -z**3 - 22*z**2 + 6*z - 7. Let o(i) = i - 1. What is 6*o(s) - w(s)?\nAnswer: s**3 + 22*s**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((0 + 0 + v)*(-2 - 1 + 1) - 2 + 3*v + 2)*(0*v**2 - 2*v**2 + v**2)*(2 + 2 - 2).\nAnswer: -2*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3 + (sqrt(14) + sqrt(168)\/(sqrt(12)*-1))\/sqrt(7).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Are 372414\/43 and 8662 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5*sqrt(1008)*6 - (2 + -3 + sqrt(1008)))**2.\nAnswer: -744*sqrt(7) + 968689","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -4.8 - -0.8. What is the nearest to 0.1 in -1\/3, f, -0.4?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -292, -290, -288?\n\"Answer: 2*v - 294","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -139 = -3*d - 25. Let b = d + -36. Suppose b*v + 4*x + 260004 = 0, 4*x + 0*x = 2*v + 259996. Round v to the nearest one hundred thousand.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: (4 - (4 + -6)) + (10 - 10)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 50.08243 + 233900.21757. Let j = s + -233949.9759869. Let t = -0.324 + j. Round t to six decimal places.\nAnswer: 0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of (4 - 5 - 2)*3782\/(-6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-3)\/(-5) + -4*851\/(-185). Solve 27 = -10*a + v*a for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (r\/((r\/(r\/(r\/(r**(-6)*r))))\/r)*r*r\/(((r**(-2\/3)\/r)\/r)\/r)*(r\/(r*r**(-2\/5)*r*r))**(-44))\/(r**(-5\/4)*r\/r**6*r)**(-6\/23) assuming r is positive.\nAnswer: r**(48781\/690)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*y - 6 = 3*u, 0*y - 3*y = -4*u - 8. Suppose y = 4*q - 0*q. Is -2 at most q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*d = -5*t + 1, -3*d + t + 4*t + 14 = 0. Suppose 3*n - 1 = 8. Suppose -5*h + 3*p = p - 23, 5*h + n*p = 3. Solve h*v + 7 = d*a + v, 2*v = -4*a for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 19 a factor of 2431?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 670334 to the nearest integer?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 329, 658, 987, 1316, 1645, 1974?\n\"Answer: 329*g","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -1488*n - 997.\nAnswer: -1488","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 6781*h**3 - 4534*h**3 - 2264*h**2 + 5053*h**3 - 1122*h**2 + 734*h**2 wrt h?\nAnswer: 43800","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*w**3 + 64*w**2 + 210*w.\nAnswer: -2*w*(w - 35)*(w + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let z(v) = -4*v - 1. Let c(s) = 19*s + 6. Let u(t) = 6 - 4 + 8 - t + 1. Let g be u(13). Let k(y) = g*c(y) - 11*z(y). Let m(d) = -d. Give -k(b) - 4*m(b).\nAnswer: -2*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Round -1984.864 to the nearest 100.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -1 or -60\/413?\nAnswer: -60\/413","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((h\/(h*h**(-22)\/h))\/h)\/(h**15*h*h))\/((h\/(h*h\/(h\/(h\/(h*h\/(h\/h**(-2\/5)))))))\/h**(2\/7)) assuming h is positive.\nAnswer: h**(199\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*z = -5*t - 4*z - 5, -2*t + 11 = -z. Suppose 6*j - t*j - 889 = m, 0 = 4*j - 4*m - 1196. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1.542 rounded to one decimal place?\nAnswer: 1.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 100691 to the power of 1\/3, to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 5629261 is divided by 342.\nAnswer: 283","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Factor l**2 + 120023*l + 2760000.\nAnswer: (l + 23)*(l + 120000)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (64\/(-112))\/(1\/7*-2). Find the first derivative of 0*b**w - 17*b - 6 - b**2 - 19 wrt b.\nAnswer: -2*b - 17","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -12*y + 8*y + 5*y + 4 + (-1 + 0 - 1)*(1 + 3*y - 1) in the form l + t*y and give l.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -2 + 2932?\nAnswer: 2930","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 39439*d**3 - 40*d + 31367636.\nAnswer: 118317*d**2 - 40","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -0.0852 + -0.0698. Which is the third biggest value?  (a) 4\/3  (b) q  (c) -4\/5  (d) 4\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -5*l + 171*l**2 + 202*l**2 + 73*l**2 to the form s*l + a*l**2 + v and give s.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*l = 3*s - 21, l - 35 = -4*s - 4*l. What is the lowest common multiple of 2\/3 - 64\/(-12) and s?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 67*t - 32*t - 4 - 28*t.\nAnswer: 7*t - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: How many centuries are there in 9713.53 decades?\nAnswer: 971.353","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 193, 819, 1841, 3241, 5001, 7103, 9529?\n\"Answer: -3*x**3 + 216*x**2 - x - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 76 - 71. Put j, 8, 0.2, 0.3 in decreasing order.\nAnswer: 8, j, 0.3, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-402 - -406) + 5 + 1 - 49 - (-9 - 1).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 1838383949 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand -35*y**4 - 14*y**5 + 35*y**4 + (5*y**4 - 5*y**4 + 2*y**4)*(0 + 0 + 3*y).\nAnswer: -8*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let t(k) = k**3 - k**2 - k + 3. Let g be t(0). Suppose y - 16 = -g*y. Suppose -2*i + 2 = -y. What is the remainder when 4 is divided by i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:14 PM and 12:57 AM?\nAnswer: 643","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1499 = 5*d - 5354. Suppose p = 2912 + d. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(n) be the third derivative of 0*n**3 - 130*n**2 + 5\/12*n**4 + 0*n - 1\/12*n**5 + 0. Factor b(r).\nAnswer: -5*r*(r - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(p) = p**2. Let y(x) = 14*x - 10. Determine y(h(m)).\nAnswer: 14*m**2 - 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of -9201931, -9201933, -9201935?\n\"Answer: -2*p - 9201929","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 2\/10*3*10. Suppose k*x = 4*x. Which is the third smallest value?  (a) x  (b) -1  (c) 2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*k + u = 4*k - 5, 2*u - 6 = 0. Let f be (0 - 0) + -1 + 1. Suppose w - 22 = -4*d + 1, f = k*d + 2*w - 10. What are the prime factors of d?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(d) = 5*d + 19. What is r(-4)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let n(f) = -f**2 - 14*f + 379. What is n(40)?\nAnswer: -1781","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-1 - -4) + (0 - -1). Suppose l*d - 56 = 20. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-13845)\/1846*(-56)\/(-15)?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 158565.\nAnswer: 3, 5, 11, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -h + 364001 = -4*c, -13*h = 2*c - 14*h + 182001. What is c rounded to the nearest 10000?\nAnswer: -90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1325*d - 2*v = -1320*d + 6*v + 145, 2*v + 64 = -2*d for d.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1\/5, 3\/2, 16\/5, 5 in descending order.\nAnswer: 5, 16\/5, 3\/2, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = l + 4*a, 4 = -3*l - 3*a - 5 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0005769 to 5 decimal places.\nAnswer: -0.00058","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let r(f) = -f + 12. Suppose -14*s = 4*y - 11*s + 904, 0 = y - 4*s + 207. Let k = y + 236. What is r(k)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((j**(-2)*j**(-22))**(1\/9))**(-4\/23) assuming j is positive.\nAnswer: j**(32\/69)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 23052947?\nAnswer: 19, 41, 101, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:28 PM and 9:40 PM?\nAnswer: 492","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 0.2 + -0.3. Let c = -35 + 20.5. Let o = c - -15. Put o, -5, f in decreasing order.\nAnswer: o, f, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:52 AM and 7:52 AM?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 4115.1 rounded to the nearest 1000?\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(66)*-1*-3 + sqrt(66)*2*1)\/((sqrt(54)\/sqrt(3)*4)\/(sqrt(3) + (sqrt(18)*-2)\/sqrt(6))).\nAnswer: -5*sqrt(11)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -178, -386, -652, -982, -1382, -1858, -2416, -3062?\n\"Answer: -r**3 - 23*r**2 - 132*r - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -337, -278, -219?\nAnswer: -160","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 11 times 41.6?\nAnswer: 457.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*x - 2*x - 4*s = 5216, 4*x - 5216 = -4*s. List the prime factors of x.\nAnswer: 2, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4540 - 4889 - 2484)*(-3*r**5 - 5*r + 5*r).\nAnswer: 8499*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 662228 is divided by 984?\nAnswer: 980","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1\/8, 0.5, 38, -10, 3, -2, -22.\nAnswer: -22, -10, -2, -1\/8, 0.5, 3, 38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let m be -1 + -1*3*15. Suppose -2*z + 80 = u - z, 3*u = z + 228. Let f = m + u. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(q) be the second derivative of -q**6\/180 - q**5\/30 - 8*q**3\/3 + 17*q. Let b(n) be the second derivative of f(n). Factor b(i).\nAnswer: -2*i*(i + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2\/11 in 2, 0, -1\/5, 0.034?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let z(i) = 43*i**2 - 16*i - 80. List the prime factors of z(8).\nAnswer: 2, 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 390880\/400 + 4\/5 + 0.\nAnswer: 2, 3, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 331 minutes after 7:53 AM?\nAnswer: 1:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let l(p) = -6*p**3 + 3*p**2 - 5*p + 3. Let o(i) = -5*i**3 + 2*i**2 - 4*i + 2. Let m(x) = 4*l(x) - 5*o(x). Let n = -8 + 5. Calculate m(n).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(q) be the second derivative of -q**6\/60 - q**5\/30 + q**4\/12 + q**3\/3 + 3*q**2 - 7*q. Let a(m) be the first derivative of g(m). Factor a(l).\nAnswer: -2*(l - 1)*(l + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4 + 3 + 4)*(-4 + 3 + 2)*(5 - 3 + 0)*(v + 8*v - 3*v).\nAnswer: 36*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let t be -1*(-12)\/2 - 1. Suppose 23 + 127 = t*v. Let j(k) = k**3 - 7*k**2 + 3*k - 1. Let m be j(7). Calculate the highest common divisor of m and v.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(y) = -29*y. Let h(l) = 25*l**2 + l - 76. Determine h(x(c)).\nAnswer: 21025*c**2 - 29*c - 76","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*m - 57 = i, -3*i + 5*m - m = 147. Calculate the least common multiple of 4 and (20\/(-5) - -8)*i\/(-10).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -7.9 + 1.9. Are h and -2\/5 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 6\/(-1)*((-32)\/(-16))\/((-4)\/(-1))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 78 a factor of 309829?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*r**2 + 13*r**2 + 6*r**2)*(2*r + 2*r - r) + 9570 - 130*r**3 - 9570.\nAnswer: -67*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence en when two letters picked without replacement from {w: 1, n: 2, e: 2, y: 1}?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2 + 13 = -15*h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*b + 33 = -2*d, -3*d - 2*b = -0*d + 22 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 196, 1567, 5284, 12511, 24412?\n\"Answer: 194*f**3 + 9*f**2 - 14*f + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 9?  (a) 5\/4  (b) 32  (c) -0.7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Find t such that -2*t**3\/13 - 3982*t**2\/13 - 144668*t\/13 - 140688\/13 = 0.\nAnswer: -1954, -36, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -84942 divided by -42471.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: (-3752)\/4221*783\/(-1972)\nAnswer: 6\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -4802.2 rounded to the nearest 100?\nAnswer: -4800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*z = y + 7, 0 = -3*z - 2*z - 3*y + 19. Let h(c) = -2 - 7*c + c**z + 0*c - 2*c - 3. List the prime factors of h(11).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -6657.529 + 6661. What is b rounded to two dps?\nAnswer: 3.47","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 38040380?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 48661643 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*n = y - 49, -4*y + 92 + 112 = 4*n. Let p be (50\/(-6))\/5*-3. What is the remainder when y is divided by ((-76)\/10)\/((-2)\/p)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 2250802, 18006407, 60771622, 144051253, 281350106?\n\"Answer: 2250801*k**3 - k**2 + k + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 5029 times -0.2?\nAnswer: -1005.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.093 less than -0.09?\nAnswer: -0.183","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 53\/169506 and 107\/167238.\nAnswer: 524960082","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -438, -379, -310, -231?\n\"Answer: 5*w**2 + 44*w - 487","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -307*v + 304*v - 5*n + 1 = 0, -v + 3 = -n for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let c(i) = -2*i**3 - i**2 + i + 1. Let d be c(-1). Let y be 1 + 0\/3 + d. Let w be y*(-1)\/(1\/(-2)). Does 2 = w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 49483 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: (-22 - 1) + (493 - 482)\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Put 4, -3, 4427 in decreasing order.\nAnswer: 4427, 4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Product of 0.5 and 58.1.\nAnswer: 29.05","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 68*x = 67*x + 2. Let u(k) = x*k**3 + 0*k**3 - k**3 - 62 - 22*k + 47*k - 23*k**2. Calculate the lowest common multiple of 44 and u(22).\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 2 - 4. What is the remainder when 18 is divided by p\/(-3) - 28\/(-3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 34 = -4*d - 6*t + 8, d + 115*t + 17 = -2*d + 110*t for d.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 10077 is divided by 57.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*f - 4*f + 4*f)*(-3 + 4 - 3)*(0*f + 3*f - f).\nAnswer: -8*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let i(n) = 3*n - 62. Let q be i(23). Suppose -q = a + 2*k - k, -5*a - 31 = k. Does 5 divide 2 + -1 + a\/(-2) + 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 66866132 = -51*c + 66865061 for c.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -37  (b) -1\/5  (c) -3  (d) 27.655\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -7.6 + 3.6. Let j be (4\/(-10))\/(6\/(-10)). What is the nearest to j in 0, v, -0.3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 44\/7 - 227\/35. Suppose 2 = -6*y + 8. Which is the nearest to 3\/5?  (a) y  (b) p  (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8 = -4*v, -2*h - 3*v = -0*v - 12. Let q be (2 + -1)*(h - 26). Let d = -15 - q. What is the units digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -64.58 rounded to the nearest integer?\nAnswer: -65","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 155 minutes after 10:38 AM?\nAnswer: 1:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -266 + 461. What is the tens digit of c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -13 - 19 = 2*i + 45 - 45, 2*r = 16*i + 254 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -24489528, -48979102, -73468676, -97958250, -122447824, -146937398?\n\"Answer: -24489574*m + 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y(q) = q**3 - 15*q**2 + 51*q - 92. What is y(11)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let r(h) = -h**2 + 3*h + 2. Let f(p) = -2*p**2 + 7*p + 3. Let l(g) = 3*f(g) - 5*r(g). Let j be l(7). What are the prime factors of (-6)\/j + (-138)\/(-8)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(u) = -2*u**3 - u**2 - 4*u - 1. Let z(i) = 4*i**3 + 2*i**2 + 5*i + 1. Calculate -5*s(b) - 4*z(b).\nAnswer: -6*b**3 - 3*b**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let t(r) = 4*r**2 - 3*r**3 + r + r**2 + 6*r**3. Let p(d) = -5*d**3 - 9*d**2 - d. Give 4*p(y) + 7*t(y).\nAnswer: y**3 - y**2 + 3*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let s(q) = 335*q. Let n(u) = u**2 + 14. Determine n(s(y)).\nAnswer: 112225*y**2 + 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 0.109 + 1.551. What is q rounded to 1 decimal place?\nAnswer: 1.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1101 is divided by 229?\nAnswer: 185","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let z(m) = 38*m + 265. Let h be z(-7). Let v be (h - 11\/(-9)) + (-96)\/(-54). Solve -v*d = 4*i - 24, -2*d = -d - 4*i + 12 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 62526 (base 9) in base 15?\nAnswer: c353","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2*(2*sqrt(84))\/sqrt(12) + ((sqrt(7) - sqrt(35)\/sqrt(5)) + -1 - (sqrt(7)*1 + -2)) + 4.\nAnswer: 5 + 3*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 187 + -187.1. Let m = -0.1 + 0.2. Let v = m - -1.9. Which is smaller: v or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 5207937?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let w(a) = 7*a**2 + 14*a - 13. Let n(g) be the third derivative of g**5\/6 + 7*g**4\/8 - 19*g**3\/6 + 2*g**2. Let p(v) = -5*n(v) + 7*w(v). Calculate p(-7).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 13 + 1295\/(-119) - 2?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 6 minutes after 3:16 AM?\nAnswer: 3:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -18 - -27. Suppose -6*g - 5 = -g. Is (24 - k)\/(g\/(-2)) a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2093*i + 2108*i = 195. Let q be (-4)\/(-12) - 16\/(-6). Suppose 0*k + q*k = 105. Calculate the remainder when k is divided by i.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 21541 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: How many tonnes are there in 1.745087ug?\nAnswer: 0.000000000001745087","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 49 (base 13) in base 6?\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2149 is divided by 56.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (0*n + n + n)*(-97 - 188 - 276) to the form j + i*n and give i.\nAnswer: -1122","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (28 - (-13 + 6 + -30)) + 15.\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let a(u) = 120*u**3 + 2*u**2 - u. Let k be a(1). Let d be (-8)\/(-6)*(65 + -68). Let y be 2\/d - (-184)\/16. Calculate the highest common divisor of y and k.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve r = 9*h - 145, -853*r - 4*h = -854*r - 65 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 71, 147, 223, 299?\n\"Answer: 76*z - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from akmkmllma. Give prob of picking 1 a, 1 k, and 2 m.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 1\/4 of a year?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let c(o) = -4*o - 6*o**2 - 1 + 9*o**2 - 4*o**2 - 2. Let x be c(-3). Suppose x = 2*w - 10, r + 2*w = 4*r - 8. Calculate the least common multiple of r and 5.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1?  (a) 3  (b) -2\/7  (c) -4.6  (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 61\/2 of a meter in centimeters?\nAnswer: 3050","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4 + (sqrt(147) - (5 + sqrt(147) + 1)) + 0 + ((sqrt(192) - (2*sqrt(192) + sqrt(192) - sqrt(192)) - sqrt(192))*-6)**2.\nAnswer: 27646","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*q - q = 2*l + 13, 4*q + 15 = 3*l. Let m be l\/(56\/52 - 1). What is the highest common factor of m and 91?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(t) = -t**2 + 9*t + 4. Let y be x(5). Suppose 0*s - 2*s + y = 0. Let g be (8\/108)\/(2\/s). Sort -1\/5, g, -2 in decreasing order.\nAnswer: g, -1\/5, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -12*l + 2*x - 6 = 0, 3*l + x + 0 - 3 = 0 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 11072, 27077, 48010, 73871?\n\"Answer: 2464*u**2 + 8613*u - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c(b) = -b**2 - 15*b + 7. What is the tens digit of c(-13)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(c) = c**3 + 2*c**2 + 21*c + 45. Calculate p(0).\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -13 = -5*i + 2*y, -310*y + 308*y - 18 = 0 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -2373*z**2 + 384*z + 6?\nAnswer: -4746","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -1886*d + 8310 + 3006 for d.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*h + h = 20. Let d be 1\/(-3) - 182\/(-42). Solve -5*j = -d*j + h for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence jmpn when four letters picked without replacement from {p: 2, j: 1, m: 4, n: 4}?\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = l + 7*k - 2*k - 110, 5*l + k = 502. Let t(c) = -c**3 + c + 63. Let w be t(0). Let u = l - w. What is the tens digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 411248 + -851?\nAnswer: 410397","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 1430895.7 from -0.2.\nAnswer: -1430895.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 68 a factor of 1496?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 755 divided by 151.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is (-9)\/6 - (7 + 153\/(-18))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 6\/7  (b) -38  (c) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -299*b = -3*t - 296*b - 12, -8 = -4*t - 2*b for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let x(u) = u + 4. Let d(o) = -21. Let l(g) = 3. Let w(k) = -2*d(k) - 15*l(k). Give 4*w(a) + 3*x(a).\nAnswer: 3*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let j(q) = -q + 4. Let s be j(0). Suppose -14 = -s*n - 6. Suppose n*u + 277 = 3*z, -z - 5*u + 68 + 47 = 0. What is the remainder when z is divided by 24?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 466992 divided by -423?\nAnswer: -1104","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, 218\/1877, 5, -0.4, -4.1.\nAnswer: -4.1, -2, -0.4, 218\/1877, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*q = 5, -9*b + 6*b - 476 = -2*q. Let v = -108 - b. Calculate the highest common factor of 10 and v.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 12066, 97861, 330774, 784365, 1532194, 2647821?\n\"Answer: 12260*n**3 - n**2 - 22*n - 171","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*c + 5*c - 3*c)*(-4 + 3 - 1)*(-31*c - 264 + 264).\nAnswer: 124*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4 - 27996*w**2 + 13962*w**2 + 13998*w**2 - 1.\nAnswer: -36*w**2 - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 3570, 7160, 10748, 14334?\n\"Answer: -i**2 + 3593*i - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -1690852*s**2 - 834906*s?\nAnswer: -3381704","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 8.1 - 9.1. Let n = -13 - -66\/5. Which is the third biggest value?  (a) 0  (b) s  (c) n  (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -s - 66 + 187 = 0. What is the hundreds digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(b) = -3*b - 17. Let a(y) = -1. Let h(o) = a(o) - c(o). Let u be h(0). Suppose -u*v = -19*v + 63. What is the tens digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*t - 2*i = 11, -i + 0 = 4. Let z = t + 1. Suppose -3 = -z*w - w. What are the prime factors of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -17000 (base 9) to base 6.\nAnswer: -130000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*z**4 - 8436*z**3 - 316236*z**2 - 2990524*z.\nAnswer: -4*z*(z + 19)**2*(z + 2071)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence bf when two letters picked without replacement from {f: 1, b: 2, n: 5, e: 1, j: 1, l: 6}.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 128 = -n - 0*n. Let f = 53 - n. Let d = f + -102. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put together 2.2 and 69400084301.\nAnswer: 69400084303.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 619852111 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let h(y) = y**2. Suppose 289 = 10*l - 261. Let i(t) = -81*t + 18*t + t - l*t. Calculate h(i(q)).\nAnswer: 13689*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -363, -369, -377, -387, -399?\nAnswer: -413","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 8018?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 448101.\nAnswer: 3, 49789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let n(t) = -t**3 - t**2 - t - 7. Let y(v) = -2893*v**3 - 3*v**2 - 260*v - 22. Let j(p) = -3*n(p) + y(p). Find the second derivative of j(k) wrt k.\nAnswer: -17340*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -44, -56, -46, -20, 16, 56, 94, 124?\nAnswer: 140","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 86435?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 204155491 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*c**3 + 2*c**3 - c**3)*(-102*c - 6 + 47*c + 53*c).\nAnswer: 2*c**4 + 6*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 26 and 598?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2619*x - 1487*x + 20376 = 0 for x.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1\/(-4) - (-1962)\/72.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(a) = -12*a. Suppose 0 = -4*y + k + 31, -5*y - 2*k + 60 = k. Suppose s + 11 = -4*p - 0*p, 3*p + y = 0. What is x(s)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(k) = -20*k - 462. Let i be f(-23). Which is the closest to -3?  (a) -1\/3  (b) -33  (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 414 and 126?\nAnswer: 2898","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0000143187 to 6 decimal places.\nAnswer: -0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let s(d) = -5*d**2 - 8*d + 8. Suppose -z = 2*z + 24. Let a(r) = r - 1. Let t(h) = 3*h**2 + 3*h - 3. Let p(m) = -2*a(m) - t(m). Give z*p(f) + 5*s(f).\nAnswer: -f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 5008988?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 21951373 to the power of 1\/6, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 r when two letters picked without replacement from {r: 2, b: 1, e: 2}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 2808705*f**3*n**3 + 4*f**3*n**2 + 257652*f**2*n**2 wrt n.\nAnswer: 16852230*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 25 - 26 - (-5 - ((-1 - -46) + -4)) - 7.\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (24\/(-10))\/(11\/2860*39)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4 + (-26 - -28) + -42.\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y(z) be the second derivative of -z**4\/12 - z**3\/6 + z**2\/2 - 2084*z. Let b(p) = -4*p**3 - 4*p**2 - 4*p + 4. Determine -3*b(q) + 12*y(q).\nAnswer: 12*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 73 and 935495?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -700 = 42*k - 46*k. Suppose 4*d = k + 545. What is the units digit of d?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 0.012, 5, -1\/2, -1.6, 5\/3?\nAnswer: -1.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Express -2*r + 1351*r**2 - 1351*r**2 + 0*r + 14*r**3 as b*r**3 + h*r**2 + w + n*r and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let s(q) = -q + 116. Let b(f) = f**2 + f**2 - 585 + 585. What is s(b(p))?\nAnswer: -2*p**2 + 116","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*u + 0 + 0)*(2*u - 6*u - u)*(-2*u**3 + 9*u**3 + 2*u**3).\nAnswer: 135*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is -8991 less than 4244.26617?\nAnswer: 13235.26617","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let o(s) = 5*s + 10. Let h be o(-3). What is the units digit of (-2)\/h + (-438)\/(-5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-80)\/(-128))\/((-8085)\/(-20328))?\nAnswer: 11\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u(g) = -g**2 - 3*g + 15. Calculate u(-6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let o(y) = -15*y**3 - 12*y**2 - 27*y - 28. Let j be o(-7). Suppose 2*f = -u + j, -5*f + 22*u = 25*u - 11795. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 67 is divided by 6.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -4 + 8. Let y = 13.08 + -13.19. Let r = -0.15 - 0.25. Sort f, r, y in descending order.\nAnswer: f, y, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1\/2?  (a) 2\/3  (b) 1  (c) 5  (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-17 + 6*w + 17)*(2 + 3 - 31).\nAnswer: -156*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let c(p) = -2*p**3 - 25*p**2 - 1184*p - 15558. Let v be c(-13). Suppose 0*w + 3*w = 0. Solve 12 = -w*r - v*r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 631 minutes after 7:29 PM?\nAnswer: 6:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let c(v) be the second derivative of v**3\/6 - v**2 - 2*v. Let o(u) = 4*u - 5. Let a be o(2). Determine c(a).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*p + 4 = 3*p - 3*d, 0 = 3*d + 3 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Sort -47, -5, 0, 69, 3, 6 in ascending order.\nAnswer: -47, -5, 0, 3, 6, 69","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let z(g) = 7*g - 1. Let w be z(-3). Let a = 11 + w. What is the common denominator of a\/(-2)*27\/(-3) and 43\/10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -36*g = -32*g. Suppose g = -5*l + z + 716, -15*l = -13*l - 5*z - 268. What is l rounded to the nearest ten?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-36)\/(-11))\/(3*(-18)\/(-297))?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1\/4?  (a) 1\/8  (b) 0.9947  (c) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -84*m + 258 = -162. Solve -5*w - 4*t = -4*w - 11, -25 = -m*w - 5*t for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -337*g**3 + 60*g**3 + g**2 + 276*g**3 - 2135*g + 2 in the form x*g**2 + f*g**3 + w*g + s and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -11.558 + 0.258. Let u = h - -11. Which is the second smallest value?  (a) 0.5  (b) -1  (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of -18, -464, -1724, -4206, -8318?\n\"Answer: -68*t**3 + t**2 + 27*t + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -191, -325, -689, -1397, -2563, -4301, -6725, -9949?\n\"Answer: -19*u**3 - u**2 + 2*u - 173","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 l when two letters picked without replacement from {l: 11, m: 1}?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 31287, 125099, 281445, 500325, 781739, 1125687?\n\"Answer: 31267*q**2 + 11*q + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort 37, 0, 1, 9, 715 in ascending order.\nAnswer: 0, 1, 9, 37, 715","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-2)\/(-1) - 13\/5. Is x at most as big as -6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -43820600 rounded to the nearest one hundred thousand?\nAnswer: -43800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 256 and 36528?\nAnswer: 584448","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"}
{"text":"Question: Suppose 14 = 2*q + 2*l, -14*q = -17*q + 5*l - 3. What is the first derivative of q*i - 7 - 31*i - 96*i - 100 wrt i?\nAnswer: -123","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -402*z - 158*z + 164*z - 381*z + 243*z - 480*z.\nAnswer: -1014*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -22512 + -13625?\nAnswer: -36440","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify f**10*f*f\/f**(-7\/4)*f*f*(f\/f**(22\/3)*f)\/(f**(-1\/3)\/f) assuming f is positive.\nAnswer: f**(47\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1276*z - 9 = 1285*z. Is 8\/89 at least as big as z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 8427474 divided by -99?\nAnswer: -85126","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 2*(-5)\/(-48)*-4.\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-2 + 2 + 1)*(99 + 137 + 13)*(0*v**3 - 5*v**3 + 3*v**3) + (0 - 3 - 2)*(-v**3 - 3*v**2 + 3*v**2) to z*v**3 + i*v**2 + l*v + m and give z.\nAnswer: -493","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let j(c) be the second derivative of 5*c**3 - c**2 - 27*c. What is the units digit of j(4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -12 - -10.6. Let w = 1.5 + n. What is the second biggest value in -3, -5, w?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is a6cd + -4?\nAnswer: a6c9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 301591 is divided by 15077?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, 2, 139.\nAnswer: -1, 2, 139","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 158189 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 900 and 55?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -17\/4 and (297\/(-96))\/(7\/28).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -27, -27, -25, -21, -15?\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: 1 (base 4) to base 3\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t(w) = 8*w - 3. Suppose i + i + 5 = -3*x, -5*i + 2*x + 16 = 0. Let u be t(i). Suppose -5*b - 6 + 48 = -3*q, 0 = b + 4*q - u. Solve 2*c = 5*c + b for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -19531*j - 59167 wrt j.\nAnswer: -19531","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 80404 is divided by 187.\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2946720 is divided by 446.\nAnswer: 444","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 14, 12, 18, 32, 54, 84, 122?\n\"Answer: 4*f**2 - 14*f + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Determine d, given that 4*d**3 - 20*d**2 - 4*d + 20 = 0.\nAnswer: -1, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -46*u**3 - 174*u**3 + 221*u**3.\nAnswer: u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -11*o = 10*o - 7497. What are the prime factors of o?\nAnswer: 3, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 124, 120, 116, 112, 108?\n\"Answer: -4*g + 128","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -822 - -1709. Let t = l + -902.02. What is t rounded to the nearest integer?\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 24281 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 0.2 - 0.5. Let x = -104\/511 + -6\/73. Which is the closest to 0.1?  (a) x  (b) o  (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence eer when three letters picked without replacement from {y: 4, r: 3, e: 2}.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 9\/(-6) - (-65)\/70. What is the nearest to 2\/17 in -3, 1, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -234, -230, -222, -210, -194?\n\"Answer: 2*f**2 - 2*f - 234","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (1 - 4)\/((-21)\/56). Suppose 24 - g = 2*h. Let s be (-3)\/6 + 4\/h. Solve -3*a + 4 = 3*u - 5, -2*a + 2*u + 6 = s for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*i**2 - 5*i**2 + i**2)*(3*i - 6*i**2 - 3*i) + (557*i - 61*i**2 - 557*i)*(-4*i**2 + 2*i**2 + i**2).\nAnswer: 73*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 6\/25 of a millennium?\nAnswer: 2880","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 1.09  (b) 3  (c) 2\/21  (d) 1  (e) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let b(m) = 2*m**3 + 30*m**2 + 16*m - 20. List the prime factors of b(-14).\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 56557 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let q(p) = 169*p + 3. Let i(k) = -18*k**2 + 1. Calculate i(q(l)).\nAnswer: -514098*l**2 - 18252*l - 161","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 1132310844*l**3*t + 284*l**3 + 6*l**2 + 153*l - 13 wrt t.\nAnswer: 1132310844*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let v(a) = 65*a**2 + 4*a + 3. Let g = -22 + 24. Suppose 5*z + 3 + g = 0. Is v(z) a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 7289004 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 s, 1 k, and 1 d when three letters picked without replacement from {z: 3, s: 1, d: 1, o: 1, q: 6, k: 1}?\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5 + (sqrt(77) + sqrt(77) + (6*(sqrt(77) + (sqrt(77) - sqrt(77)*-2)) + sqrt(77) - sqrt(77) - sqrt(77)) + sqrt(77) - sqrt(77))\/(sqrt(396)*-2).\nAnswer: -25*sqrt(7)\/12 - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 73*w + 4322 = -16*w + 1474 for w.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 1\/(-3)*-3207 + 1. Let w = d + -6445\/6. Is -5 at least w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(j) = -20*j - 1. What is the tens digit of i(-11)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 40, 61, 96, 145, 208?\n\"Answer: 7*k**2 + 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: 968ff8 (base 16) to base 11\nAnswer: 562a463","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 76330016 to the power of 1\/7, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"}
{"text":"Question: Let m(x) = x**2. Let a = -4 + 9. Let u(v) = -2*v + 4 + 1 - a. Give m(u(k)).\nAnswer: 4*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-5 + 1)*(-21)\/(-14). Let p(o) = -2*o - 2. Let a be p(j). Let b = 12 - 8. Calculate the greatest common factor of b and a.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 7*c**3*m**3 + 13*c**3 + 24*c**2*m**4 + c**2*m**2 + 2*c**2*m - 36*c**2 - 32*m**3 - 3*m**2 wrt m.\nAnswer: 42*c**3 + 576*c**2*m - 192","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 229*p - 590*p + 305*p.\nAnswer: -56*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 16*u**2 - 8*u**2 - 5*u**2.\nAnswer: 3*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 18 = g + 15. Let m = -390 + 396. Calculate the smallest common multiple of g and m.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 7337 and 99.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let y(z) = -z - 8. Let i be y(-8). Suppose i*q - 145 = -5*q. Suppose n - b - 20 = 0, q = n - 0*n - 4*b. Does 7 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -1\/13 + -5\/104. Which is the third smallest value?  (a) -2\/15  (b) 3\/5  (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -13989 from -539.\nAnswer: 13450","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 109631709?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 17047 - 17046. What is the nearest to 0.02 in -1.5, -2\/65, s?\nAnswer: -2\/65","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 5 + 0 + (56 - 53) + (9 - 22).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 l and 1 y when two letters picked without replacement from {x: 1, w: 1, l: 1, k: 1, y: 2, t: 1}?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -2?  (a) 0  (b) 333  (c) 4\/3  (d) -27  (e) -1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 733763 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 3339817, 3339813, 3339809, 3339805, 3339801, 3339797?\nAnswer: 3339793","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y(o) = 5*o + 5. Let h(l) = -48*l - 51. What is -2*h(s) - 21*y(s)?\nAnswer: -9*s - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Put -10, 3, 0, -11, -1 in decreasing order.\nAnswer: 3, 0, -1, -10, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 14 a factor of 322?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*i**3\/13 - 12634*i**2\/13 + 176582*i\/13 - 617694\/13.\nAnswer: 2*(i - 6303)*(i - 7)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 475 divided by -2255?\nAnswer: -95\/451","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -132 + 132. What is the nearest to -8 in h, -2\/17, 2\/9?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 7433 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -64, -1, -1\/8, 65\/7, -0.6, -5?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 753 (base 11) in base 10?\nAnswer: 905","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*x = -4*s + 9*s - 173, -4*x + 166 = -2*s. Which is smaller: x or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 217, 240, 271, 310?\nAnswer: 357","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 117 minutes before 3:54 AM?\nAnswer: 1:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let g(a) = -11*a. Let d(s) = 12*s + 1. Determine 5*d(k) + 6*g(k).\nAnswer: -6*k + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -0.57 + 0.07. Put 1\/4, j, 0.5 in decreasing order.\nAnswer: 0.5, 1\/4, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -2?  (a) 1\/3  (b) 1\/9  (c) 31382\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: ((1 - -2)\/15)\/((-5)\/(-125))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 101 is divided by 67.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 1514292640 a multiple of 15685?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -44 + -78. Let k = r + 125. Let q = 0.1 - 0.1. What is the nearest to q in k, 6, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -351, -734, -1117, -1500, -1883, -2266?\n\"Answer: -383*w + 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: 15017 (base 9) to base 4\nAnswer: 2133232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Express 4154*g - 8041*g - 14567*g - 582*g in the form b*g + y and give b.\nAnswer: -19036","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Express (2*n + 2*n + n)*(-24*n - 2*n + 17*n - 27*n) as o*n + h + v*n**2 and give v.\nAnswer: -180","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*l + 2 = -2*f, 0 = -2*l + 6*l + 2*f - 6. Solve q + 5 - l = 0, -w - 1 = 3*q for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -9239 + 8*d + 9239.\nAnswer: 8*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 2063 - 2063. Let g(k) = -5*k + 5. What is g(p)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3339892?\nAnswer: 2, 139, 6007","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 19619764?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Does 60 divide 4142?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let h(t) = 312*t**3 - 4*t**2 + 186*t + 186. Give h(-1).\nAnswer: -316","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let j(o) = -o**3 + 10*o**2 + 3*o + 4. Let v be j(11). Let i be (4\/(-7))\/(24\/v) + 176. Suppose -5*r + 3*c = -i, -r - 4*c = 25 - 79. What is the tens digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 466 minutes before 7:12 PM?\nAnswer: 11:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let m(k) = -10*k**3 - 12*k**2. Suppose 3*s = 7*s + 60. Let l be (6\/s)\/(2\/60). Let c(w) = 4*w**3 + 5*w**2. Determine l*c(h) - 5*m(h).\nAnswer: 2*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-1)\/(5\/13660*-2). Let b = -750 + d. Calculate the greatest common divisor of 56 and b.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((b*b*b**(-18))\/b)**(4\/13)\/(b**(-2\/5)*b)**(-6\/7))**(-7) assuming b is positive.\nAnswer: b**(2146\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 797189 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 76 minutes before 1:01 PM?\nAnswer: 11:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let q(c) = -4*c**3 - 301*c**2 + 29*c - 21. Is q(-76) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 566.8 rounded to 0 dps?\nAnswer: 567","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 51627 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 763878, 763840, 763778, 763692?\n\"Answer: -12*n**2 - 2*n + 763892","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d(k) = -2*k**2 + 6*k + 6. Let s be d(5). Let v = 11 + s. Let c be (-3)\/(-6*(-2)\/16). Sort v, 4, c.\nAnswer: c, v, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(j) = 6*j + 3. Let y be z(-2). Let l = y + 14. What is the units digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 945694.3 millilitres to litres.\nAnswer: 945.6943","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -38, -13, 36, 109, 206, 327?\nAnswer: 472","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -34 - -36. Let o(y) be the third derivative of -275*y**4\/8 - 3*y**2. Let z be o(n). Round z to the nearest one hundred.\nAnswer: -1700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -5, 5, 2.81, 14\/291, -0.4, 0.4, -2\/7?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let n(h) = -14*h - 2. Let j(s) = s. Calculate 8*j(k) + n(k).\nAnswer: -6*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 45 - 15?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Put -3, 4089, -6, -1 in ascending order.\nAnswer: -6, -3, -1, 4089","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 e, 1 n, and 1 b when three letters picked without replacement from {e: 1, b: 1, t: 2, n: 1, o: 11, k: 4}.\nAnswer: 1\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 1267337 and 93127?\nAnswer: 4049","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -3049, -6133, -9217, -12301, -15385, -18469?\n\"Answer: -3084*y + 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 121 and 11671?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -17*p + 38*p = 18*p + 6 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let z(t) = 20*t**3 + t**2 - 1. Let h = -13 + 16. Suppose 5*p - c = h*c + 75, -15 = 3*c. What is the remainder when z(1) is divided by p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -0*l - 2*l + 6. Suppose -2*y = -l*y + 8. Suppose -5*t - 3 = -y*t. What is the nearest to -1 in -1, 2\/7, t?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*l - 14 = -s + 5*l, 20 = 4*s - 3*l. Suppose -5*z - 3*h + 596 = 0, -z + 112 = 5*h - s*h. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 4909 is divided by 483?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*s + 2*b - 37 = 0, 0 = -0*s - s + 5*b + 2. Let u = s + -3. Suppose -u*z + 9723 = -2345. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"}
{"text":"Question: What is -0.09 less than -32317?\nAnswer: -32316.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 116*p**2*y + 6229*p*y - 1890322*y wrt p.\nAnswer: 232*p*y + 6229*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 194*f + 29 = 33*f - 776 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((f\/(f*f**(4\/7))*f)\/((f**3*f)\/f)*(f**0*f*f)**0)\/((f**(-1\/4))**17*f**5\/f**(2\/13)) assuming f is positive.\nAnswer: f**(-1153\/364)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from ooooozooozz. Give prob of sequence zzzo.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let b(h) = h**3 - 24*h**2 + 31*h - 38. Let u be b(23). Let k = u + -413. Let a = k - -421. What is the hundreds digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(h) = -12*h - 5*h - 2 + 15*h + 7. Let w be j(0). What is the tens digit of 5\/(w\/3) + 8*8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -336 + 365 - (-1 - -19).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 7*(-4)\/(-21)*15\/310?\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 479 - 475. Differentiate -9*s**4 - 150 + 21*s**4 - 12 - 58*s**r + 21 with respect to s.\nAnswer: -184*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.4*106.\nAnswer: -42.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -539*g**3 + 278625968*g**2 - 278625968*g**2 + 542*g**3.\nAnswer: 3*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 1807.3 + -1413. Let i = r - 394. Put -12, -5, i in decreasing order.\nAnswer: i, -5, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 73489137?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.4 in 52\/7, 0.12, -0.2, -2?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 110526889, 110526875, 110526859, 110526841?\n\"Answer: -f**2 - 11*f + 110526901","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 3866141888 a multiple of 12074?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 u, 1 r, and 1 l when three letters picked without replacement from {r: 1, p: 3, l: 3, h: 5, d: 1, u: 1}.\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (84*465\/1953)\/2.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 171402263.\nAnswer: 41, 211, 19813","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*y + 3*g - g - 14 = 0, -3*g + 12 = 0. Let i be 261 - ((-36)\/4)\/y. Calculate the greatest common divisor of 33 and i.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 3172 and 2173491?\nAnswer: 113021532","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -3 + 1 - (-2 - 1 - 1).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 2*-0.2036049\nAnswer: -0.4072098","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -1 + -2. Calculate the common denominator of -130*((-23)\/(-8) + z) and 91\/4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -29*a - 1 + 31*a + 21*a**2 - 103*a**3 + 104*a**3 - 2*a**4 as k*a**4 + i*a + q*a**2 + c*a**3 + d and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in l + 26*l**2 - 342 + 77*l**2 - 343 + 691.\nAnswer: 103*l**2 + l + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let y(c) = 2*c**3 + 17*c**2 - 40*c - 73. Determine y(-10).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 99246 (base 13) in base 15?\nAnswer: 57213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 0\/(4 - 8\/4). Suppose -3*f - 2*f = -30. Suppose -b - b + f = c. What are the prime factors of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 192\/3*315\/(-1260) + 25?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*l - 2 = 6. Let v be 1\/l - 7\/(-4). Calculate the highest common divisor of v and 8.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(v) = -275*v + 44. Is z(-45) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 101388 a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -1296.8 - -1199. Round x to the nearest ten.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -1.32  (b) -232  (c) 25\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 20902121?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let z(b) = b**2 - 11. Let a be z(3). Let j(p) = -3*p**3 - 4*p**2 - 3*p. What is the tens digit of j(a)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 4350 - -94. Let y = l + -13465\/3. Let x = -45 - y. Which is the second biggest value?  (a) 1  (b) x  (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 200240180 at least 200240180?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -3.4 + -0.6. Suppose -10*h = 4*w - 13*h + 258, -2*h = 5*w + 334. Let x be (3*1\/w)\/(3\/(-12)). Which is the nearest to x?  (a) 0  (b) -0.5  (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (i\/((i\/(i\/((i*i\/i**(2\/7)*i)\/i))*i)\/i))**(2\/95) assuming i is positive.\nAnswer: i**(-2\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, -4, 3, 2, 4, -1953, 52.\nAnswer: -1953, -4, 2, 3, 4, 5, 52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve -39 = 6*q - 15 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 357\/34*(-4)\/(-7). Find the third derivative of 4*t**2 + 4*t**2 + 6*t**n - t**6 + 0*t**2 wrt t.\nAnswer: 600*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*a + a = -4*c + 596, -a - 4 = 0. Suppose -5*x - c = 3*s, -3*s + 106 = -34*x + 30*x. Is x equal to -34?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 13.4897 to 0 dps.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from sosssssossssosssss. Give prob of picking 3 s.\nAnswer: 455\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*q = -34 + 10. Suppose 4 = 2*k - 2, 0 = -q*w + k + 381. What is the highest common factor of 240 and w?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 302 <= 311?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Express (2*w + 3*w - 6*w)*(-453*w + 15058 - 15058) + 2*w**2 - 4*w**2 + 0*w**2 as f*w + m + a*w**2 and give a.\nAnswer: 451","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*o - 6*d + 9*d - 438, -4*o = 5*d - 580. Let i = o + -140. Find c such that i*c**2 - 8*c + 8\/5 = 0.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 0 + (-4)\/(-1) + -2. Suppose -3*y = a - 29. Let o = y - 1. Calculate the least common multiple of o and 7.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 2824 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*k**2 + k**2 + 0*k**2)*(40 - 121 + 0 + 2*k).\nAnswer: 2*k**3 - 81*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -15929478 divided by 7521.\nAnswer: -2118","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 199 + 120. Let j = -321 + h. Which is the nearest to -1?  (a) 0.3  (b) -5  (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*u + 5*u - 2*u + (-4 + 7 - 1)*(5*u - u - 2*u) + 2*u + 0*u + 0*u)*(4 - 5 + 2).\nAnswer: 7*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 330, 1949, 3556, 5145, 6710?\nAnswer: 8245","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -27 - 1264973*c + 1264971*c - 27 + 9.\nAnswer: -2*c - 45","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4545.\nAnswer: 3, 5, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:06 AM and 6:34 PM?\nAnswer: 568","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 12 and 15044?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*c = 70 + 2. Let d(o) = -o**2 - 21*o - 105. Let f be d(-10). Let j = -19 + 28. Solve f*u + j = c for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-5 - 102\/(-18))\/(4\/48). Is 8 > k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 21\/31424 and 3\/221932.\nAnswer: 3550912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1\/6600, 12\/11, -1\/2, 1\/5.\nAnswer: -1\/2, -1\/6600, 1\/5, 12\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -205971, -206118, -206543, -207384, -208779?\nAnswer: -210866","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {c: 5, a: 1, w: 3}. Give prob of picking 2 c.\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let c(v) be the second derivative of 17*v + 0*v**3 + 3\/28*v**4 - 6\/7*v**2 + 0 + 3\/140*v**5. Solve c(d) = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 43, 63, 101, 163, 255, 383, 553?\n\"Answer: u**3 + 3*u**2 + 4*u + 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let i(x) be the second derivative of -3*x**3\/2 - 3*x**2 + 7*x. Let u be i(3). Let w be 3\/(-10)*22\/u. Which is the closest to -1?  (a) 0  (b) 4  (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 1026\/(-3762) - 578\/(-2079). Do v and -1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 c, 1 p, and 1 z when three letters picked without replacement from crzyzpppppyczpcy.\nAnswer: 27\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 13408557251 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -42 = -4*b - 2*v, -79*b + 36 = -76*b + 3*v. Let l(n) = 9 - 3*n - b*n + 11*n. Calculate l(6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {o: 2, l: 16}. What is prob of picking 2 o?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -29*w - 47*w - 1552 = -22072. Calculate the remainder when 567 is divided by w.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: -2 + (6\/5)\/(1\/5)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -572 - -299. Let o = -150 - v. Does 41 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 252 minutes before 6:30 PM?\nAnswer: 2:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 57439 is divided by 1172?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 130*y + 1102084 - 1102084.\nAnswer: 130*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 0.0787431792 + -325.0787595792. Let q = l - -325. What is q rounded to 6 dps?\nAnswer: -0.000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 198029, 198027, 198025?\nAnswer: 198023","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 31 - 27. Solve i - 15 = -o*i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 183220 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 570 is divided by 44?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Divide 6 by 4319104.\nAnswer: 3\/2159552","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let d(k) = k**3 - 2*k + 12330. Let f be d(0). Let s = f + 9025. Suppose -20*u = -25*u + s. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 15*s - 85 = 40 + 55 for s.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -0.35 - 0.05. Suppose 4*r + 4*j + 36 = 0, 2*r - 5*j = -22 - 17. Let w be r\/(-5) + (-18)\/6. What is the closest to -3 in w, o, 0.4?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 17*b**2 - 3*b**4 - 70*b**3 - b**4 - 12*b**2 - b**4 + 70*b.\nAnswer: -5*b*(b - 1)*(b + 1)*(b + 14)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(z) = -24*z - 2. Suppose -3*n = -m - 4 - 6, -5*m = n + 2. Does 12 divide f(m)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(u) = -5*u**2 - 5*u + 1. Let f(b) = 6*b**2 + 5*b - 2. Let a(c) = -6*f(c) - 7*n(c). Let j be -1 + 3 + (3 - 1). Is 2 a factor of a(j)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(d) = -35*d + 138. Let z(k) = -k**3 - 36*k**2 + 4. Let t be z(-36). Determine q(t).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(o) = o**3 - 6*o**2 + 4*o + 7. Let r be w(5). Suppose 3*j + 2 = -l, 17 = 3*j - r*l + 4. What is the least common multiple of j and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 5471, 10132, 14793, 19454?\nAnswer: 24115","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 844\/34 - 792\/(-4488).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1\/3 in -1, -13\/11, -2, -378, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let o(t) = -13*t - 88. Let k(y) = -3*y. Give 4*k(c) - o(c).\nAnswer: c + 88","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Put 0, -10, 4, -2 in descending order.\nAnswer: 4, 0, -2, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -o - 9 = -2*k + 4, 2*k - 3*o - 23 = 0. Is k - (-2)\/((-4)\/(-1262)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 62807048 is divided by 27?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3 + 1*(((-1 + sqrt(405))*-4)**2 + (sqrt(405) + sqrt(405) + -1 - sqrt(405))*-3 + ((1 + sqrt(405))*1*6)**2)*3.\nAnswer: 999*sqrt(5) + 63348","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -2 + 1322?\nAnswer: 1320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1553 (base 10) to base 3.\nAnswer: -2010112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1 + (3*(sqrt(112) - (1*sqrt(112) + -3) - (-2*-2*sqrt(112) - sqrt(112))))**2*-4.\nAnswer: -36611 + 2592*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let n(s) be the first derivative of 25\/2*s**2 - 15\/2*s**4 + 5\/6*s**6 + 12 + s**5 + 10\/3*s**3 - 15*s. Suppose n(t) = 0. What is t?\nAnswer: -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 111*l - 932 = -135 + 322 + 879 for l.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -6696, -7069, -7442, -7815?\nAnswer: -8188","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 336300 is divided by 6467?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -74, 157, 544, 1087, 1786, 2641, 3652?\nAnswer: 4819","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -190 + 205. Suppose g*d - 5824 = d. Calculate the highest common divisor of d and 52.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 47\/173921 and 7\/585007.\nAnswer: 6435077","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: -63174 (base 12) to base 6\nAnswer: -2441024","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v(u) = -2*u - 3. Let k be v(-4). Let p be 5 + (14 - 9) + -8. Sort 1\/2, p, k in descending order.\nAnswer: k, p, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(210)*-1*6)\/(sqrt(448)*-1))\/(2*sqrt(54) + sqrt(96) + sqrt(96)*1 + sqrt(96)).\nAnswer: sqrt(5)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 2042768040?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 537997022 to the power of 1\/4, to the nearest integer?\nAnswer: 152","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve 55*n - 30*n + 175 = -10*m + 30*n, -27*m - 5*n - 491 = 0 for m.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 496.\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let r(w) be the first derivative of 0*w**2 + 0*w**4 - 7\/3*w**3 + 0*w - 6 + 84\/5*w**5. Find the third derivative of r(q) wrt q.\nAnswer: 2016*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence wvvw when four letters picked without replacement from {k: 2, y: 5, v: 2, w: 4, d: 1}?\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let k(z) = 3*z**2 + 4*z + 10. Determine k(5).\nAnswer: 105","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 1161*u**3 + 3550?\nAnswer: 3483*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 30 = -10*c + 2*h, 0 = 154*h - 153*h - 5 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 1610215852 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let j(h) = h**3 + 2*h**2 - 4*h. Let r be j(-3). Suppose -r*l - 955 = -4*l. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: 30 + 12711\/(-471) - 3\nAnswer: 2\/157","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -720, -1735, -1732, 675, 6872?\nAnswer: 18245","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: 1.73*4.8\nAnswer: 8.304","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1001321223 (base 5) to base 15.\nAnswer: 29180d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is six fifths of a millisecond in microseconds?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -3\/34 and -59\/3.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 60440954 to the power of 1\/2, to the nearest integer?\nAnswer: 7774","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"}
{"text":"Question: What is 0.3933117 decades in months?\nAnswer: 47.197404","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 61 - -52160356?\nAnswer: 52160450","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (d\/d**(-2\/3))**(-2\/95)\/(d**(-3)\/d*d)**(10\/9) assuming d is positive.\nAnswer: d**(188\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 55 is divided by 21?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -14 = 3*d + 1. Let z be (-3)\/4*8\/(-3). Let p(t) = -z + 5 + t - 1. Let w(g) = g + 2. Calculate d*w(c) + 4*p(c).\nAnswer: -c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 1 or -2\/16760855?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (t\/(t**(-8\/5)\/t*t))\/(t*t**(-5)) assuming t is positive.\nAnswer: t**(33\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 725 + -556. Let p = -151 + l. Suppose -4*j + 47 = -49. Calculate the remainder when j is divided by p.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -4*w**2 + 32*w**3 + 0*w**2 + 6*w**2 as i*w + x*w**3 + j + m*w**2 and give x.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0 divided by -3579021.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 110101 - -10100111100?\nAnswer: 10101110001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:18 AM and 6:08 PM?\nAnswer: 470","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*v - 9 - 5 = h, 14 = -5*h + 3*v for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 1 + -17. Let k = -7 - q. Is 9 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 7\/(-3)*(-6)\/126*1210\/(-110)?\nAnswer: -11\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(48)\/sqrt(4))\/sqrt(2))\/(-1*sqrt(8)).\nAnswer: -sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 212 - 212. What is the closest to -3\/2 in u, -0.3, 0.5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(n) = -2*n**2 + 6*n + 2. Let w(p) = 2*p**2 - 5*p - 1. What is -2*h(j) - 3*w(j)?\nAnswer: -2*j**2 + 3*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let f(t) be the second derivative of 0 - 11\/12*t**4 - 14*t - 1\/10*t**5 + 4*t**2 - 4\/3*t**3. Is f(-7) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {x: 1, u: 1, h: 1, a: 1, y: 1}. What is prob of picking 1 y and 1 h?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4*(sqrt(65) + 4*-2*sqrt(65))*-1)\/(sqrt(15)\/sqrt(75) + sqrt(40)\/(sqrt(8) + sqrt(24)\/sqrt(3))).\nAnswer: -40*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let u(k) = -6*k + 12. Let f(a) = -7*a + 12. Let q(t) = -4*f(t) + 3*u(t). Let y be q(2). Solve 5*b - 33 = -y for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 7644 and 15792?\nAnswer: 1437072","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let y(l) = l**2 - 56*l + 383. Let b be y(48). What is the third biggest value in -9, -17, -5, b?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*m - 15 = -5*p, -200*p - 7 = -m - 177*p + 11 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 5317951811 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 210 and 12.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1*2*sqrt(91)*-3)\/(sqrt(84)\/(sqrt(12)*-2*6)).\nAnswer: -72*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*v**2 + 375*v.\nAnswer: 5*v*(v + 75)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 10371*d**6 - 121 - 10366*d**6 - 260 + 7*d**4 - d**2 + 3*d**5 + 6*d**5 wrt d.\nAnswer: 600*d**3 + 540*d**2 + 168*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 10 - 1a?\nAnswer: -a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let f(j) = -2*j**2. Let b(i) be the third derivative of -i**7\/2520 + i**5\/30 - i**2. Let d(w) be the third derivative of b(w). Determine d(f(v)).\nAnswer: 4*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let h(k) = 2*k - 10. Let a be h(5). Suppose a = c + 3 - 7. Let r = 1 + 3. Solve -d - 12 = -c*j + r, -20 = -5*j for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 313450 + -12?\nAnswer: 313434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: -1210c2 (base 13) to base 15\nAnswer: -87980","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 744 and 93.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -116.9 + 117. Put 0.13, -1\/4, 0.4, r in descending order.\nAnswer: 0.4, 0.13, r, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*r - 96 = 2*p + p, -4*p - 118 = r. Let h be -14*(2 + p\/4). Calculate the greatest common factor of 7 and h.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -107\/9022 and -1\/190.\nAnswer: 857090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -4  (b) -3  (c) -8582\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4689 = 233*p + 29 for p.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 11*f + 121 - 154. Suppose 2*u - 2*a - 51 = -f, -3*u = 2*a - 57. Find the common denominator of 89\/6 and u.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-8)\/(-84))\/(18\/(-1176)*7).\nAnswer: -8\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) -2  (b) 4  (c) -2\/3  (d) 51\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let m(i) be the third derivative of i**4\/24 - 8*i**3\/3 - 451*i**2. Determine m(21).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is seventeen tenths of a litre in millilitres?\nAnswer: 1700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let 3*j**2 - 909*j\/4 + 675\/4 = 0. Calculate j.\nAnswer: 3\/4, 75","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let h(q) = q**3 + q + 1. Let y(u) = -52*u**3 + u + 1. Give 2*h(k) - 2*y(k).\nAnswer: 106*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: 75\/7 + (-548)\/(-1918) - ((-1863)\/(-171))\/1\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -39*z - 40 = -44*z. Suppose z - 68 = -5*d. What is the highest common divisor of d and 24?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(w) = -w**2 - 7*w. Let p = -11 + 18. Suppose p*h - 11*h - 24 = 0. Give u(h).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -g + 2*g = 4*r, r - 2*g = 7 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2\/7?  (a) -35\/578  (b) -4  (c) 2\/25\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 678 minutes after 6:33 AM?\nAnswer: 5:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 5 - 7. Let q be 5 + z + -1 + 0. Suppose 2*i + i = -2*s + 19, 22 = 2*s + q*i. Is 14 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (10 - 3 - 10 + (-5 + 4 + 3)*(2 + 0 + 0) - 2 - 2 - 7)*(-s**2 + s**2 - 2*s**2) in the form u + r*s**2 + b*s and give r.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 1  (b) -0.3  (c) 1\/6  (d) 31  (e) -7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -20120 + 20099. What is the nearest to y in -5, 1\/5, -3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 229 - 118. Calculate the remainder when c is divided by 19.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 871 + 807 = 134*c - 600 for c.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 6 - 22*i + 0 + 21*i + (3 - 3 + i)*(4 + 2 - 4) to h*i + f and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.000463068454 to four dps.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 29153 minus 355.1753?\nAnswer: 28797.8247","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 137676 - 138040.074. Let j = -364 - t. Round j to one dp.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 3135015 and 52785.\nAnswer: 159885765","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*k = 38 + 22. Let q = -6 + k. Factor -7*a - 16*a**3 + 18*a**2 + q*a**4 - 4*a**2 + 3*a.\nAnswer: 2*a*(a - 1)**2*(3*a - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(l) be the third derivative of -3*l**5\/10 - 50*l**2. Let q(w) be the first derivative of w**2 - 61. What is v(q(s))?\nAnswer: -72*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let t(n) = n**2 + 11*n + 2. Let r be t(-11). Suppose 2*h + 0*s - 4*s = 166, -s = r*h - 176. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 2, 0, 3, -5, -4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -302 + -0.18813360362.\nAnswer: -302.18813360362","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 0 + 2 - 10\/2. What is the units digit of (34 - -1)*s\/(-5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2 - 18 = -4*t - a, -t - 5*a - 15 = 0. Suppose 7*b = 2*b + 3*i + 52, 2*b - t*i = 17. Is 11 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in twenty-one eighths of a litre?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -60*f - 5*f + 65. Let v(d) = d**2 + 2*d - 5. Let q(b) = b**2 + 4*b - 9. Let h(k) = -4*q(k) + 7*v(k). Determine h(f).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 5.106839ug to nanograms.\nAnswer: 5106.839","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o(b) = -3*b**3 + 6*b**2 - 3*b + 25. Let r(i) = -3*i**3 + 8*i**2 - 3*i + 24. Let u(z) = -4*o(z) + 3*r(z). What is the first derivative of u(q) wrt q?\nAnswer: 9*q**2 + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*d**2\/3 - 1454*d\/3 + 1456\/3.\nAnswer: -2*(d - 1)*(d + 728)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let x(v) = -10*v - 395. Let h be x(-15). Which is smaller: h or -975\/4?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 19, 82, 177, 298, 439, 594, 757?\n\"Answer: -t**3 + 22*t**2 + 4*t - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*t - 2*o = 47, 43 = 4*t + t - 3*o. Let d(n) = 14*n**2 + 11*n - 11. Let g(c) = 5*c**2 + 4*c - 4. Give t*g(a) - 4*d(a).\nAnswer: -a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 26865.\nAnswer: 3, 5, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in eleven quarters of a litre?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 946 - 945. Let i(n) = n**3 + 4*n**2 + 4*n + 3. Let d be i(-2). Suppose 4*p - 1 = 3*z, 2*p = d*p - 2*z + 1. What is the remainder when g is divided by p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 15337665 to the power of 1\/4, to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let r(j) = -j**2 - 6*j - 11. Let o be r(-12). Let f = -39 - o. Is 7 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-8*g - 7*g + 14*g)*(2 - 1 - 2 - 1 + 1 - 2 + (-1 + 4 - 4)*(1 + 2 - 4) + 2 - 6 + 2 + 4 - 4 + 1).\nAnswer: 3*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let h(x) be the third derivative of x**5\/60 + x**4\/6 - 4*x**3\/3 - 9*x**2. Let i be h(9). Suppose 110*g - 22 = i*g. Sort g, -4, -3 in decreasing order.\nAnswer: g, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 1827630 to the nearest integer?\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: 143412 times -3\nAnswer: -430236","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is -20 (base 6) in base 12?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: -102 + -10 + 22 + 10 - -6\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 1395474 smaller than 1395475?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 84895.697 rounded to the nearest 1000?\nAnswer: 85000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 43479*g**4 + 211629*g?\nAnswer: 521748*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -0.059 - 0.041. Let o be (-6)\/8 - 5\/(-20). Let v = 0.3 + -0.4. Which is the closest to v?  (a) s  (b) o  (c) 1\/12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2*k**2 + 4*k**2 + 0*k**2 + (-3 + 3 + 2*k)*(3*k - 3*k - 4 - 2*k).\nAnswer: 2*k**2 - 8*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*w = w + 4*j + 8, 0 = -5*w - 3*j - 2. Let r(d) = -4*d - 1. Let l be r(-1). Suppose -w = l*t - 32. What are the prime factors of t?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -686 less than or equal to 242.4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"}
{"text":"Question: Let i be ((-8)\/6)\/((-2)\/42). Let y = i - 26. What is the second derivative of -4*m + 12*m + 8*m**3 + y*m**3 wrt m?\nAnswer: 60*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -2a + 304509?\nAnswer: 3044ac","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is -227063900 rounded to the nearest 1000000?\nAnswer: -227000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1529 is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2*d**2 + 2 - 10*d**2 + 2941*d + 1168*d + 9.\nAnswer: -8*d**2 + 4109*d + 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Product of -25 and -1158.\nAnswer: 28950","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 164431 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 39582440?\nAnswer: 2, 5, 989561","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 58055*p**5 - 4*p**4 - 2*p**2 + 9528263*p wrt p?\nAnswer: 1161100*p**3 - 48*p**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let i(v) be the second derivative of -4*v**3 - 9\/10*v**5 - 18*v + 0 + 1\/15*v**6 + 10\/3*v**4 + 0*v**2. Factor i(p).\nAnswer: 2*p*(p - 6)*(p - 2)*(p - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -r = 2 - 13. Suppose 0 = -u - 12 + r. Let o be u + 7*-9 + -2. What is o rounded to the nearest 10?\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (2\/(-2) + 0)*2738\/370 - 2\/(-5).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(o) = o**3 + o**2 - o - 1. Let q be c(0). Let n = -3 + q. Does 7 divide n\/(-10) + (-206)\/(-10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*m = -h - 12, 0*m - 2*h - 12 = -4*m. Solve 4*g - 17 = m for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -9*n - 50 = -32 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Round 1.245705 to 3 dps.\nAnswer: 1.246","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Factor o**2\/4 - 3697744*o + 13673310689536.\nAnswer: (o - 7395488)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 157 - 156. Let r(q) = -20*q + 39. Let y be r(s). What is the highest common divisor of y and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 394445916054 take away -0.173?\nAnswer: 394445916054.173","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 222 - 4?\nAnswer: 218","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -24 = -2*k - 5*i, i - 26 = -5*k - 3*i. Solve 17*o = -4*f + 12*o + 7, -k*f + 3 = 3*o for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -4 - -10. Let w = -2 + n. Suppose 5*z - 25 = w*u - 6*u, -10 = -5*z + u. Does 3 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: -2*5\/(-25) - 4576\/(-110)\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 139, 279, 419?\nAnswer: 559","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -1 times -5.9?\nAnswer: 5.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 1.04 - 0.04. Let a = -129\/4 + 71\/4. What is the third smallest value in r, -0.3, a?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 58068, 58065, 58062, 58059, 58056?\n\"Answer: -3*l + 58071","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -284349 and 5.\nAnswer: -1421745","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let o(r) = 7*r**3 - 13*r**2 + 15*r - 14. Let i be o(10). Find the third derivative of -5836*y - 19*y**2 + i*y + 36*y**4 wrt y.\nAnswer: 864*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -146c22 (base 15) to base 5.\nAnswer: -223003412","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (1 - (2 + -1)) + (-9 - -12).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*s - 5*i + 14 = 2, 2*s + 4*i = -8 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 366*f + 590*f + 589*f = -318*f + 93150 for f.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Add together 44.02 and -0.1579.\nAnswer: 43.8621","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 0.5103319309 + -204.5103291509. Let g = -204 - x. Round g to 7 decimal places.\nAnswer: -0.0000028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 590014 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 0.7 + -0.9. Let n = 6.08392 - 0.08392. Put 4, w, n in decreasing order.\nAnswer: n, 4, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -29\/6*k**2 + 1\/6*k**3 + 49\/2*k - 69\/2.\nAnswer: (k - 23)*(k - 3)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (p**(-21)\/((p*p*p*p**(1\/7))\/p))**3 assuming p is positive.\nAnswer: p**(-486\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 2 + (-1 - 3) + (-7 - -13).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((-3*sqrt(65) - sqrt(65))*-6 + sqrt(65))*-6)\/(sqrt(1125) + sqrt(45) - sqrt(30)\/(sqrt(24) + sqrt(6))).\nAnswer: -450*sqrt(13)\/53","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (12\/(-16)*-2*-2)\/1.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is (23 - (-22275)\/(-2781)) + 165\/(-11)?\nAnswer: -1\/103","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (y**(2\/9))**25\/((y\/(y*y*y**(-2\/5)*y))\/(y\/y**(-7))) assuming y is positive.\nAnswer: y**(682\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2.379759 decades to centuries.\nAnswer: 0.2379759","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 1418611 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -0.4, -1.1, -0.219, -1, -456?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 63 a factor of 8757?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let c(p) be the second derivative of 7 + 0*p**2 + 3\/2*p**6 - 1\/20*p**5 + 0*p**3 - p + 5\/12*p**4. Find the third derivative of c(l) wrt l.\nAnswer: 1080*l - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from ooxrrxoroorrr. Give prob of sequence xxrx.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (o\/(o**(2\/5)*o))**(2\/39)\/(((o*o**(-1\/9))\/o)\/o*o*(o\/o**(-22))\/o) assuming o is positive.\nAnswer: o**(-12817\/585)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0*r - 5*k - 3 = -2*r, 2*r - 4*k = 2 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*u = -51 + 59. Is (-798 - u)\/((-1 - 0)*1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (v\/(v*v**25*v))**(46\/7)\/(v\/((v*v*(v*v*v*v**(-22)*v)\/v)\/v))**(1\/8) assuming v is positive.\nAnswer: v**(-9701\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is (-5)\/(17850\/256) - 85\/((-142800)\/160)?\nAnswer: 2\/85","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 20*f**2 + 17*f**5 + 15*f**2 - 33*f**2 wrt f?\nAnswer: 1020*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 25 + -292. Let g = b - -1331\/5. What is the second biggest value in -5, -4, g?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3669217?\nAnswer: 3669217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) -0.4  (b) -24  (c) -14  (d) 101  (e) 0  (f) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 458204.2nm in meters?\nAnswer: 0.0004582042","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*r = -0*r + 2. Let i(f) = -5*f**2 + 8 - 3*f + 2*f - 9 + 2. Determine i(r).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(a) = -809*a**3 - 15*a**2 - 1249. Let d(v) = -810*v**3 - 10*v**2 - 1250. Let p(k) = 3*d(k) - 2*h(k). Find the first derivative of p(n) wrt n.\nAnswer: -2436*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*s + 283 = 4*s - 3*l, -423 = -3*s + 3*l. Suppose s = 4*k - 244. Let j = k + -93. Solve j*g = 5*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-19 - (-99)\/11) + 13. Suppose 0 = 2*t - 3*t + 37. Suppose l*a + s = t + 36, 3*s + 15 = 0. What is the units digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: 33711978 divided by 18154\nAnswer: 1857","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: -26 + 21 + (-1 + 2 - 0)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2 + 2*f**2 + 2 + (-f + f + 2*f)*(0 - 2*f + 0) + 71*f**2 + 300*f**2 + 475*f**2.\nAnswer: 844*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let w(s) = 28*s + 88. Calculate w(-3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2 - i - 8 + 12 - 17 + 3 + 0.\nAnswer: -i - 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 29*o + 12 = 30*o. Calculate the greatest common factor of 108 and o.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 66019 is divided by 33004?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 6542 and 0.2998?\nAnswer: 6541.7002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 16 + 6. Calculate the least common multiple of 20 and x.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.11 times -826?\nAnswer: -90.86","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3*(33\/9 - 2).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(u) = -2*u**2 - 5*u - 5. Let i(n) = 3*n**2 + 6*n + 6. Calculate 5*i(t) + 6*k(t).\nAnswer: 3*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-3)\/(1\/2*-2). Let h be (27\/(-36))\/(3\/(-2))*10. Suppose 15 = 5*a, 3*c = -4*a + h + 7. Solve -w - t + 8 = c for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 390*d - 120*d = 2700 for d.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let b(d) = 8*d + 7 - 12*d + 70*d**2 + 6*d. Is b(-3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3459536223.\nAnswer: 3, 11, 13, 37, 67, 3253","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in -0.26, 1, -1, -2.7, 4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -19*p - 13 = -127. Suppose -2*y - 3*m + 9 = 0, -6*y - 4*m = -4*y - p. Let c(o) = -o + 8. Determine c(y).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 28607120 is divided by 1092.\nAnswer: 1088","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let t(c) = -2*c + 2. Let i be t(2). Let k(v) = -56*v + 3. List the prime factors of k(i).\nAnswer: 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-3*t**2 + 5*t**2 - 3*t**2)*(4*t + 6*t - t) - 328*t**2 + 326*t**2 + 58*t**3 - 265*t**3 + 2*t in the form c*t**3 + w + x*t**2 + m*t and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 5838 - 5835.0618. What is b rounded to 0 decimal places?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:24 AM and 10:15 AM?\nAnswer: 51","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: -3199 divided by -417\nAnswer: 3199\/417","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-2 + 0\/2)*26\/(-156). Suppose -2*m = -4*m - 6. Let q be m\/(-12) + 2*(-3)\/6. What is the second biggest value in 0.2, q, w?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2*a**5 + 0*a**5 - 3*a**5 + (-5*a**4 + 4*a**4 + 4*a**4)*(a + 5*a - 4*a) + a**3 - 4*a**5 - 2*a**3 + 5*a**5.\nAnswer: 6*a**5 - a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 12669465 a multiple of 312?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of g**3*x**2 - 12*g**3*x + 3*g**3 + 44*g*o*x**2 + 3*g*o*x - 2*g*o + 198*g*x**2 + 69*o wrt x.\nAnswer: 2*g**3 + 88*g*o + 396*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 186.6 - 181.6. Let x = -6.1 - -6. What is the closest to -0.7 in x, 0.1, n?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from nnajajnnnnjjpaj. What is prob of picking 1 p and 1 j?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let u(v) = v**3 - 38*v**2 + 2*v - 59. Let x be u(38). Solve x*f - 16*f = 5 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of 1384, 1763, 2142?\n\"Answer: 379*c + 1005","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 801756 to the power of 1\/3, to the nearest integer?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let t(u) = 5*u - 1. Let d be t(1). Let f = -2.2 - 2.8. Which is the biggest value?  (a) f  (b) -2  (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 678 minutes before 1:46 PM?\nAnswer: 2:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -18.43 - -19.2. Let i = -2.77 + x. Suppose 3*s - 15 = 5*w, 4*w - 10 = s - 3*s. Put -1\/5, w, i in ascending order.\nAnswer: i, -1\/5, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5*((0 + sqrt(17))*3)**2.\nAnswer: 765","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-308 - 69 - 325 - 367)*(-3*i + 2*i - 4*i).\nAnswer: 5345*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let m(s) = -2*s - 5*s + 29*s**2 - 25*s**2. Let i(y) = -y - 4. Let j be i(0). Let h(c) = -2*c**2 + 4*c. Let g(x) = j*m(x) - 7*h(x). Let g(a) = 0. Calculate a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -4, -134, 4, 13, -2, -6 in descending order.\nAnswer: 13, 4, -2, -4, -6, -134","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let f(u) = -17*u**2. Let b(p) = 15*p + 23*p - 42*p. Determine f(b(o)).\nAnswer: -272*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is six fifths of a litre in millilitres?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from rrqrrrrrrrrrrrrqrr. Give prob of sequence qrrr.\nAnswer: 14\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2767?\nAnswer: 2767","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -m**6 - 2*m**4 + 95887*m**3 + 13207*m**2 + 34*m wrt m.\nAnswer: -120*m**3 - 48*m + 575322","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 0.5 + -0.56. Let g = y - -2.06. Let i = 3.678 + -1.678. Is i less than or equal to g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: -1.21*0.2\nAnswer: -0.242","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 10931?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*c + 79 = -137. What is the tens digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 2\/3, 173, 1, -918?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: How many milligrams are there in 11\/4 of a gram?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 0.23  (b) 0.1  (c) -5  (d) -42\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 34\/3*((-70)\/(-28) - 4)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(j) = 3*j**2 + 5*j - 11. Let z be d(7). What is the highest common divisor of z and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -1614.999991748 - -1615. What is f rounded to 7 dps?\nAnswer: 0.0000083","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence hz when two letters picked without replacement from hzfhffffhfhfh?\nAnswer: 5\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((0 + sqrt(567) - sqrt(567))*1)**2 - (sqrt(567) + -5*(-4*sqrt(567) - sqrt(567)))**2.\nAnswer: -383292","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 220151668?\nAnswer: 2, 11, 599, 8353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*c - 7 = -w, 4*c - 5*w + 0 - 7 = 0. Suppose -72 - 9 = -c*o. Is o a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -11.5096 to 0 dps.\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-50)\/(-40)*8\/2.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -59*d - 57*d = 3431 + 3181 for d.\nAnswer: -57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 7071?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from nnnnnnnnnnnnnnnsnn. Give prob of sequence nns.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -0.164 + 1.764. Let v = -1.6025 + d. Round v to 3 decimal places.\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1320204?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 115*b - 135892 + 135892 to the form c + q*b and give q.\nAnswer: 115","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 3273999061 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: (4140\/(-3))\/4*((-462)\/(-11))\/(-210)\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n(x) = 665*x**3 - 1. Let o be n(-1). Calculate the common denominator of -43\/14 and ((-4)\/(-66))\/(24\/o).\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:48 PM and 12:10 AM?\nAnswer: 682","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 2130582?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(136) + 6*(sqrt(136) - (3*sqrt(136) - sqrt(136))))\/(-4*sqrt(56)\/sqrt(7)))**2.\nAnswer: 425\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Divide 83640 by -10455.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 100*(1425\/100)\/(-57)?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -21383*u + 21383*u - 3*u**3.\nAnswer: -3*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 32.0896um in meters?\nAnswer: 0.0000320896","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: -0.3*-373802\nAnswer: 112140.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-36)\/3 - (-39032)\/2754. Is h != 0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 - 4 + 3)*(2 - 2 + t) + 0*t + 0*t - 2 - 4*t.\nAnswer: -6*t - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 3\/(-51)*-1*-2. Let f be 5\/((3 - 2) + -2). Which is the closest to -1?  (a) 0.4  (b) f  (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(z) = z. Let q be i(5). Let r(y) = -2*y + 11. Let m be r(q). Solve 2 = s - m for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1010100011011111 (base 2) in base 14?\nAnswer: 11a7d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Divide 29841 by 336.\nAnswer: 1421\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 273527 to the power of 1\/8, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let n(d) = -15*d**3 + 155*d**2 - 15*d + 5. Let j(x) = -13*x**3 + 156*x**2 - 12*x + 4. Give 5*j(b) - 4*n(b).\nAnswer: -5*b**3 + 160*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 43 - 7\/((-21)\/3). Suppose -c - g = -68. Solve -5*l + 3*l - 2*p + 4 = 0, 4*p = 4*l + c for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1054843 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 2.4 + 7.6. Let b = -10.738 - -0.318. Let v = n + b. What is v rounded to 1 dp?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 55*c - 13 = 482 for c.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: 2815137 divided by -39\nAnswer: -72183","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1676289732?\nAnswer: 2, 3, 13, 10745447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -2 + -1. Suppose 40 = 6*k - 2*k - 4*x, -3*k + 10 = x. Let s = k + r. Solve 3*w - w = s for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(567) + 1*sqrt(567)*1 - (0 + sqrt(252) - sqrt(252) - (-2 + sqrt(175))**2).\nAnswer: -2*sqrt(7) + 179","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*a + 10*a - 12 = 0. Is (9 - 6)*898\/a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 2\/7, 656, -0.1, 109, 4, 2\/9 in decreasing order.\nAnswer: 656, 109, 4, 2\/7, 2\/9, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is (1360\/(840\/42))\/(8\/(-4))?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -202, -196, -192, -190?\nAnswer: -190","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence mbmm when four letters picked without replacement from mmmmmmmbbmmbmmmm?\nAnswer: 33\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00129568107 to seven dps.\nAnswer: -0.0012957","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is -1.8 times 306063.6?\nAnswer: -550914.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 n and 2 t when three letters picked without replacement from {t: 2, j: 1, n: 1, s: 2, i: 1, b: 1}?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 91259 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-1 + 4)*(-195)\/(-45). What is the highest common factor of 299 and y?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*y + 3*o = 1, 4*y - 28 = -32*o + 28*o for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 43*i = 43101 + 34686. What is the remainder when i is divided by 300?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(p) = -2*p**3 - 8*p**2. Let h = -165 + 333. Let i be h\/(-20) + (-2)\/(-5). Let d(f) = f**3 + 5*f**2. Calculate i*d(j) - 5*o(j).\nAnswer: 2*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 202954749?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: 2 times 0.009325\nAnswer: 0.01865","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let r(y) = y**2 + 93*y + 299. What is r(-91)?\nAnswer: 117","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: -25 divided by 67129\nAnswer: -25\/67129","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*r - 129 + 49. Let g be (-8)\/(-2) + -2 - -102. What is the common denominator of g\/(-6)*6\/10 and r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 75104621?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"}
{"text":"Question: Let a = -1.56365 - -2.1438. Round a to one dp.\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*j + 5 - 3 = 0. Let b = j + -2. Let v(k) = -k - 7. Let z be v(b). Put z, 4, 1 in ascending order.\nAnswer: z, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -2701844 + 5343709. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 26, 67, 144, 269, 454, 711, 1052?\n\"Answer: 2*l**3 + 6*l**2 + 9*l + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {q: 3, a: 5}. Give prob of sequence aaaq.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence kkv when three letters picked without replacement from svvskkvvkvkks.\nAnswer: 25\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 3*h + 29177*d - 29172*d - 37, -3*h - d + 7 = -2*d for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let s(r) = -5*r**2 + 1. Let z(o) = 3*o**3 - 19*o**2 + 23*o + 17. Let y(b) = 7*s(b) - z(b). Factor y(h).\nAnswer: -(h + 1)**2*(3*h + 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(o) = -o - 1. Let n be m(-1). Suppose n = -5*i - 18 + 63. Let w = 21 - i. What are the prime factors of w?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 605631 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: -4 + ((-276)\/(-966) - -30*(-20)\/42)\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*l - 8 = 0, 5*g + 5*l + 9 = 14 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 94 and 1927?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -7609 + 68423\/9. Which is the second smallest value?  (a) -0.3  (b) -2\/11  (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 256496*w - 256492*w - 8*x + 36 = 0, -36 = 3*w - 3*x for w.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -1.974 + -0.026. What is the nearest to 1 in c, -5, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 33 + -47. Let p = -10 - k. Let v(n) = 2*n**3 - 5*n**2 + 6*n - 2. Is 23 a factor of v(p)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in -0.1, 12, -479, -2, -0.049?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let a(r) = 13*r**2 - 3*r - 8. Calculate the remainder when a(7) is divided by -18 - -43 - (-12)\/(-3).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(t) = 3*t**2 + 42*t + 2. Let a(f) = 2*f**2 - 8*f + 1. Calculate the remainder when a(-5) is divided by c(-15).\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-1)\/4*248\/434)\/((-1200)\/(-504)).\nAnswer: -3\/50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence zpuy when four letters picked without replacement from {g: 1, p: 1, z: 4, u: 2, y: 4}.\nAnswer: 4\/1485","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"}
{"text":"Question: Let k = -0.05 + 1.05. Let l be (63\/(-105))\/((-3)\/(-2)). What is the closest to 0.1 in k, l, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -49228*a + 3190.\nAnswer: -49228","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 64 + -21. Suppose -3*m + k = p, 12 = -2*m + 3*m - 2*p. Calculate the highest common divisor of 14 and m.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (f\/f**1)\/(f*f*f**(3\/5))*(f\/(f*f\/f**(-1\/3)))\/(((f**(2\/3)*f)\/f)\/f)*f\/((f**5*f)\/f)*f**4\/f*(f**1)**(11\/6) assuming f is positive.\nAnswer: f**(-83\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let m(f) = f**2 + 8*f + 3. Let z be m(-8). Suppose -3*j - 14 = -5*l, z*j = -3*l + 6 + 12. Let t = 3 - j. Is t greater than or equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -31*w - 6*w + 37*w + 15762*w**2.\nAnswer: 15762*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 1639880, 6559536, 14758964, 26238164, 40997136, 59035880, 80354396?\n\"Answer: 1639886*t**2 - 2*t - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence vv when two letters picked without replacement from xzzzvzzzpqvzqzzzzz.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -39 + 40 - (-6 + 9).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h(u) = 2*u**3 - 6*u**2 + 10*u - 9. Calculate h(1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 11 + 1110100?\nAnswer: 1110111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve -259025 + 258556 = -67*v for v.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let s(d) = -4*d**2 + 4*d - 3. Let g be s(-4). What is the tens digit of ((-3)\/((-15)\/g))\/(2\/(-10))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -420 + 4174. What is the thousands digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-3 - 0) + 14 - 34?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i(l) = 46*l**3 + 46*l**2 + 170*l - 25. Let z(s) = -11*s**3 - 11*s**2 - 42*s + 6. Let u(c) = 2*i(c) + 9*z(c). Find the second derivative of u(y) wrt y.\nAnswer: -42*y - 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(a) = -2*a. Let c(s) = -2 + 2 + 231*s - 233*s. Determine i(c(l)).\nAnswer: 4*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in -0.2, -0.5, -27498, -2\/5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -493, -1887, -4209, -7459?\nAnswer: -11637","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 11920 less than 872.28205?\nAnswer: -11047.71795","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -73, -313, -721, -1297, -2041?\n\"Answer: -84*q**2 + 12*q - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f(t) = 7*t**2. Suppose 4*o + 736 = -4*y, 2*y - o = -50 - 318. Let c = 187 + y. What is the remainder when f(1) is divided by c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 1 - 8. Let v = g + 7.00000005. Round v to seven decimal places.\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 36422 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3 + -5 + (-3 + sqrt(1377) + 2)**2.\nAnswer: -18*sqrt(17) + 1376","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let d(z) = -10*z + 13*z - 14*z - 11*z - 1 + 13*z. Let i(l) = -31*l. What is i(d(j))?\nAnswer: 279*j + 31","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let r be -2 - 24\/(-10) - (-2180)\/50. Suppose -r = 3*i + 100. Let l = i + 39. Let y(g) = g**3 + 10*g**2 + 10*g + 11. Give y(l).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 150\/54 - (6 - 3)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 22553015?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let w(t) = 25242*t + 2*t**2 - 25242*t. Let h(b) = 7*b**2 + 26*b. Let i(u) = -h(u) + 3*w(u). Let v(p) = -2*p**2. Give i(v(c)).\nAnswer: -4*c**4 + 52*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 22 - 23. Let r be -1 - -3 - (-2 + 3)\/n. Solve r*t + 4*i = 2, 5*t + 4*i - 7 = i for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*r + t = 3*t - 28, -4*r - 4*t - 4 = 0. Let p(y) = -y**3 - 4*y**2 + 9*y + 5. What is the remainder when 44 is divided by p(r)?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1404958 + 568\nAnswer: 1405526","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.0391095ug to nanograms.\nAnswer: 39.1095","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-c + c + 2*c**2)*(3 - 2 + 0)*(10 - 1 - 3).\nAnswer: 12*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 73*t = 80*t. Let j be (-6)\/(-1) - 0 - 6\/2. Solve -j*a - 3 + 18 = t for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(i) = -20*i**2 - 13*i - 12. Let a(t) = -t**2 - 2*t - 3. Let q(f) = 5*a(f) - z(f). Let l(v) = -136*v**2 - 28*v + 28. Determine 3*l(p) + 28*q(p).\nAnswer: 12*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let s(r) = 12*r**2 + 3*r + 4. Let i be s(8). Suppose 4*q + 0*q - 3*o - i = 0, -3*o - 199 = -q. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 60 and 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: -3 + -6015.783\nAnswer: -6018.783","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 8316 and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -22*k*u**4 + k - 2*u**4 + 15 wrt u?\nAnswer: -88*k*u**3 - 8*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (v**(-1\/13)*v)\/(v**24\/v)*v*v**(2\/15)*v*v**11 assuming v is positive.\nAnswer: v**(-1744\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.2?  (a) -4  (b) 1\/9  (c) -0.05  (d) -2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of 1205, 1191, 1177, 1163?\n\"Answer: -14*c + 1219","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4*((sqrt(847) - (sqrt(847) - sqrt(847)*-2)) + -1)**2 + 6*((sqrt(847) - (0 + sqrt(847))) + 0) + -1.\nAnswer: 176*sqrt(7) + 13555","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 696122 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 d and 1 q when two letters picked without replacement from {o: 5, q: 2, d: 4}.\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-10)\/63 + 320\/56 + -6. What is the smallest value in -0.1, i, 2\/7, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -124928, -499841, -1124702, -1999517, -3124292, -4499033, -6123746, -7998437?\n\"Answer: -v**3 - 124968*v**2 - 2*v + 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 2475998 and 3766?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4*n + 27 - 27)*(3*n**2 - n**2 - 4*n**2).\nAnswer: -8*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.683728mm to micrometers.\nAnswer: 683.728","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((g*g**3)\/g)**(-11)*((g\/(g**(-5)\/g))\/g)\/(g*g**(1\/14)\/g) assuming g is positive.\nAnswer: g**(-379\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5*((sqrt(7) - ((sqrt(14)\/sqrt(2))**2 + -1)) + 1) + 1*(sqrt(63)\/(sqrt(576)*-2))**2.\nAnswer: -6393\/256 + 5*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let i be ((-56)\/16 - -4)*(-9 + 9). Let t(d) be the second derivative of 3\/2*d**2 - 5\/3*d**3 - d + i. Differentiate t(k) with respect to k.\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 42*x**4 + 16*x**5 - 42*x**4 - x**5 - 3*x**5 + x**5 + (0*x**3 + 2*x**3 - 5*x**3)*(-4*x - 5*x**2 + 4*x).\nAnswer: 28*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0 - -6 - (8 - 5).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 m when two letters picked without replacement from {m: 3}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Factor -i**2 + 1050*i - 275625.\nAnswer: -(i - 525)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 2325235 a multiple of 318?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let p(s) = 1325*s - 5300. Let u be p(4). Let j(f) = 8*f - 3. Let b(a) = -9*a + 4. Let t(d) = 6*b(d) + 7*j(d). Calculate t(u).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(11) - (-2*(-1 + sqrt(11)) + sqrt(11))) + 5.\nAnswer: 3 + 2*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -200 + 218. Does u = 13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*l - l**2 + l**3 + 2*l)*(2*l**2 - l + l).\nAnswer: 2*l**5 - 2*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Does 20 divide 59820120?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 757 is divided by 17?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 3383, 3385, 3387, 3389, 3391, 3393?\n\"Answer: 2*d + 3381","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 15*s - 10*s - 20 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Work out 2.512 + -4228.\nAnswer: -4225.488","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2*c**5 + 3*c**5 - 6*c**5 + (0 + 2 - 1)*(-6*c**5 - c**5 + 2*c**5).\nAnswer: -6*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let y(f) = -12*f + 24. Let b be y(2). Suppose 2*w - 3*w + 3 = b. Solve 4*v = 2*i - 26, 0*i + w*i - 27 = 3*v for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -1930, -1929, -1928?\nAnswer: -1927","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 841596?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve -7672 = -445012*c + 445560*c for c.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4892 divided by -6.\nAnswer: -2446\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 15728.\nAnswer: 2, 983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 48\/(-9)*(-3)\/2. Suppose 69 - 69 = 9*f. Suppose f = 4*i - z - 5*z + 2, -5*z + 15 = 0. Solve t - l + 2 = 0, -8*l + i*l = -r for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 l when two letters picked without replacement from {f: 1, x: 5, l: 4}?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 43*x - 14 - 72 = 0. Solve -4*s - g = -23, x*s = -3*g - 8 + 27 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -a81 (base 15) in base 9?\nAnswer: -3224","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-3)\/6*500\/625)\/(20\/(-16))?\nAnswer: 8\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n(t) be the third derivative of -t**5\/60 - 3*t**4\/8 - t**3\/3 - 10*t**2. Determine n(-6).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 56\/6135 - 31\/409. What is the closest to h in -0.4, -1, 0.1, -9?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(u) be the second derivative of -u**4\/12 + 2*u**3\/3 - u**2 + u. Suppose 2*h + y - 7 = 0, -3*h + 31 = 2*h - 2*y. Calculate c(h).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1 in -0.2, -2, -1\/17, -168.9?\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 50 + -22. Let l = 27.9999962 - b. Round l to six dps.\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-78)\/(-1690))\/((-30)\/100).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (23*n + 18*n + 2*n)*(-9 + 36 + 19).\nAnswer: 1978*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 12108\/7 + -1729. Is -41 >= b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -88*r**5 - 82*r**4 - 24622*r?\nAnswer: -1760*r**3 - 984*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Round 2549 to the nearest 100.\nAnswer: 2500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (q - 5*q - q)*(-38*q - 30*q + 6*q)*(6 + 17 - 1) to a*q**2 + d*q + n and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:58 PM and 12:02 AM?\nAnswer: 664","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*t + 10 = 5*k, 0 = 4*k + 1479*t - 1508*t + 157 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -1 + -21d?\nAnswer: -21e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -41*m + 104 = -39*m. Is 42 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(i) = -95*i**3 - 5*i**2 + 3*i + 2. Let m(d) = -191*d**3 - 12*d**2 + 7*d + 5. Give 5*a(q) - 2*m(q).\nAnswer: -93*q**3 - q**2 + q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(171) + 6*sqrt(171)*3)\/(-3*sqrt(9)*-5).\nAnswer: 19*sqrt(19)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 20*y - 672 = -692 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let j(d) = d + 1. Give j(1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let r(n) be the first derivative of -10237*n**4\/4 - 81*n + 8643. Differentiate r(t) wrt t.\nAnswer: -30711*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -g + 4 = -2*y - 5, 2*g = 2*y + 10. Let i(l) = -l. Let x(j) = j - 2*j**2 + 2 - 3 + 2. Let a(n) = g*i(n) + x(n). Find the first derivative of a(u) wrt u.\nAnswer: -4*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 4\/(-17)*(-9)\/(-12). Let q(k) = k**2 - 4*k + 3. Let o(d) = 2*d**3 - 12*d**2 + 2*d - 10. Let j be o(6). Let r be q(j). Which is bigger: r or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 181 - 65. What is the remainder when t is divided by 61?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (8 - -1) + (-15)\/3.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(n) = n**2 - 11*n + 10. Let w be v(9). Let u be 40\/18 + w\/36. Solve u*i + 8 + 0 = 0 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 6 - 34 + 10 - 2208*g + 18.\nAnswer: -2208*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let j**5 + 26*j**4 - 27*j**3 = 0. Calculate j.\nAnswer: -27, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let p(x) = -6*x**2. Let l(t) = -4*t**2. Let n(o) = -8*l(o) + 5*p(o). Let w(v) = -v. What is n(w(z))?\nAnswer: 2*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 167177441 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -7 - 2. List the prime factors of (t\/(-6))\/((-12)\/(-80)).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(o) = 3*o**2 - 77988*o + 311895. Determine f(4).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -28, -3, 68, 209, 444, 797, 1292?\n\"Answer: 4*c**3 - c**2 - 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Express 4*o - 108 - 3*o - 35 - 73 as s + u*o and give s.\nAnswer: -216","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let d(p) = p**3 + 7*p**2 - 7*p + 8. Let l be d(-8). Let x(n) = n**2 + 7*n + 5. Let i(r) = 10*r + 13. Let k be i(-2). Let f be x(k). Solve l = 2*v - 1 + f for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 22\/55*(-5)\/9. Let g = -24.2 - -23.8. What is the closest to 1 in g, 8, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(d) = 306*d**4 + 10*d**3 - 5*d**2 - 2934. Let r(m) = 153*m**4 + 6*m**3 - 3*m**2 - 1466. Let x(q) = 3*p(q) - 5*r(q). Differentiate x(k) with respect to k.\nAnswer: 612*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5*(-4 + (4 + sqrt(153))**2 - sqrt(153) - (6*(sqrt(17) + 1) + (1*sqrt(85))\/sqrt(5))).\nAnswer: -795 - 70*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 25.2 - -5.8. Let f = -3.8 - 27.2. Let p = f + h. Put p, -0.2, -4\/9 in decreasing order.\nAnswer: p, -0.2, -4\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2 + 1 + -4*(sqrt(720) + -1))**2 + 2 + (4*(-1*sqrt(720) + -2))**2.\nAnswer: 480*sqrt(5) + 23115","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((8\/30)\/(-4))\/((-3)\/5).\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l(b) = b**3 + 6*b**2 - 7*b + 3. Suppose -4*p + 8 = -3*n, p + 5*n - 21 = n. Suppose 18 = -2*a - a + i, p*a - 3*i = -26. What are the prime factors of l(a)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: -4904952 divided by -204373\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 90 - 89.99907. What is s rounded to 4 dps?\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(i) = 10*i**4 - 2*i**2 + 1. Let q = -119 - -114. Let n(w) = -19*w**4 + 4*w**2 - 3. Let z(r) = q*t(r) - 2*n(r). Find the third derivative of z(j) wrt j.\nAnswer: -288*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 639 minutes before 4:39 PM?\nAnswer: 6:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 476\/(-44) - 2\/11. Let t = d + 16. What is the first derivative of t - 5 - 3*m - 2 wrt m?\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -6 + 12 - 11 - (-28 - -31).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Express -157*c**2 - 153*c**2 - c**3 + 313*c**2 + 22*c - 6*c in the form g*c**2 + i*c + k*c**3 + r and give g.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 142801715?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5 + 2 - 2*v + v)*(0*v + 4*v - 2*v)*(1 - 1 - v**2).\nAnswer: 2*v**4 + 6*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let w(q) = -7*q**3 - 2*q**2 + 478*q + 960. What is w(-2)?\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6 = -3*m + 4*s, -5*m = -m + 2*s + 8 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from kkkvvkcvvkv. What is prob of picking 1 v and 1 c?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -y**2*z - 604*y**2 - 2*y*z + 2*y + 758*z wrt y?\nAnswer: -2*z - 1208","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 75, 82, 89, 96, 103, 110?\nAnswer: 117","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-o**5 + 2*o - 2*o)*(3 - 2 + 1) + (41 - 31 + 37)*(-2*o**5 - 3 + 3).\nAnswer: -96*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-1)\/2*(-2)\/(-5). What is the third smallest value in 12, s, -0.5?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 2.1557317 and 1?\nAnswer: 2.1557317","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 109 + -85. Suppose -5*z + r = 7*z. Calculate the remainder when 17 is divided by z.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -397, -8663, 4 in decreasing order.\nAnswer: 4, -397, -8663","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -r + 4*n + 14 = 5*n, -r + 4*n = -19. Calculate the common denominator of ((-124)\/40 - -3)\/((-4)\/(-5)) and r.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 34.9 - 43.1. Let v = -6.6 - l. Which is the third smallest value?  (a) -5  (b) v  (c) -0.1  (d) 2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 1165 = 1161?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 3\/10 in 0.3, 1.5, 0.8, 0.1, 2\/5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*c**4 - 221664*c**3 + 2349523830*c**2 - 8438106097496*c + 1083462169621323 = 0. What is c?\nAnswer: 933\/7, 10511","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let k(n) = -404*n**3 - 12*n**2 + 1090*n + 18. Let a(o) = o**3 - 2*o**2 - 2*o + 3. Let m(t) = -6*a(t) + k(t). Find the second derivative of m(x) wrt x.\nAnswer: -2460*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 79 + 95 = -2*y - 3*k, -2*y = -5*k + 142. Let j = y - -83. Suppose 0 = -8*q - 66 + j. Put -5, 4, q in ascending order.\nAnswer: q, -5, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*z + g - 11 = 0, 70 - 79 = 3*z - 3*g. Let k(i) = 3*i + 1. Let m(s) = -14*s - 5. Let d(c) = -11*k(c) - 2*m(c). Let p be d(-1). Sort -10, p, z.\nAnswer: -10, z, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(r) = 3*r**2 + 1. Let z be c(2). Suppose 0 = b - 4*g - 6 - 0, -b + 3*g + 4 = 0. Is z*2*(-1)\/b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*o - 7 = 1 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -1947 + 3?\nAnswer: -1944","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 4372761?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 1286 + -990. What is the remainder when f is divided by 60?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: -4 times 70\nAnswer: -280","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 41799142?\nAnswer: 2, 7, 11, 23, 11801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {q: 1, o: 1, v: 3, j: 3, f: 3, u: 3}. Give prob of picking 1 v, 2 j, and 1 o.\nAnswer: 9\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let h(f) = f. Let a be h(1). Let k(w) be the first derivative of w**4 - w**2\/2 + w + 4. Let y be k(a). Solve -d - 18 = -3*x - y*d, 23 = -2*x + 5*d for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -91\/690168 and 107\/1930.\nAnswer: 3450840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.2460162 to two decimal places.\nAnswer: -0.25","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Convert -23a (base 13) to base 9.\nAnswer: -470","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s(j) be the second derivative of -j**5\/20 + j**4\/2 + j**3 - j - 33. What is s(7)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 115*a**2 - 145*a**2 + 49*a**2 + 58*a**2.\nAnswer: 77*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let f(t) = -t**2 + 7*t. Let o be f(6). Let p = -17 - -26. Suppose -o*x**2 - p*x**4 + 1 + 0 + 6*x**4 + 8*x**3 = 0. Calculate x.\nAnswer: -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-8)\/(-2)*(-1 + (-9)\/(-6)). Suppose 0 = 4*z + r - 137, -f*r = -0 - 2. Calculate the smallest common multiple of z and 2.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 118*q + 26*q - 56330 = 183718. What are the prime factors of q?\nAnswer: 1667","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -97 + 107. Let w be (-1)\/2 + 53*l\/4. Let t(n) = -w*n + 254*n - 125*n. Determine t(-2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 65974 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -14522.4 - -14614.903. What is r rounded to 0 dps?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 174906 is divided by 1410.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2\/9, -4\/3, 0.6455, -3\/7 in ascending order.\nAnswer: -4\/3, -3\/7, 2\/9, 0.6455","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 190084 to the nearest integer?\nAnswer: 436","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 16 + -11. Suppose -4*s - 6*h + 4*h = 18, o*h = 5*s - 15. Calculate the lowest common multiple of s - (3 - -1)*-6 and 8.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 4709 and 35456?\nAnswer: 277","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let t(y) = 4*y**2 - 2. Let d(j) = -1. Let f(i) = -2*d(i) + t(i). Let w(a) = -32*a**2. Give w(f(b)).\nAnswer: -512*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1 in 7, -1270, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 5 + -7. Let i be (-172)\/(-12) - k\/(-6). Let o(m) = 7*m. Let r be o(5). Calculate the greatest common divisor of i and r.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2\/(-70)*(-16)\/(-80)*-25.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many millimeters are there in 203.9883 centimeters?\nAnswer: 2039.883","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 1710 and 495.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Put -2, -13, -1, -4 in descending order.\nAnswer: -1, -2, -4, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 2547348 at most as big as 2547348?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 16966863 and 39589347?\nAnswer: 118768041","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-3)\/((126\/(-140))\/(6\/(-10))).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 709 = -2*b + 2509. Let r be ((-4)\/6)\/(20\/b). Let x = 13 - r. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -89 + 627\/7. Let x = 3.844 - 3.644. Let k = -20\/7 - -17\/7. What is the nearest to -1\/10 in s, k, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(x) = -x**2 - 18 - 26 + 5*x - 27 + 69. Let k be z(2). Let a(f) = -f**2 + 15. Let y be a(0). Solve -k*p + y = p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-1 - 0) + (3 - 4 - -2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l(c) = -c - 1. Let g(d) = 6527 - 3270 - 3268 - 4*d. Calculate g(r) - 5*l(r).\nAnswer: r - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Express -i**4 - 6*i**4 + 4*i**4 + (-88 - 22*i**3 + 88)*(2 + 2*i - 2) in the form f*i**4 + x*i**3 + q*i**2 + w + m*i and give f.\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-233 + 233 - 4*w**2)*(-w + w - 13*w + (w - 2*w - w)*(-4 + 3 + 0) + 0*w + 4*w - 3*w + 0*w + w - 2*w).\nAnswer: 44*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5*(-1 + sqrt(567)) + (-3 + sqrt(567))**2*4 + 4.\nAnswer: -171*sqrt(7) + 2303","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3577.\nAnswer: 7, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 112 - 112000?\nAnswer: -111111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:17 PM and 7:44 PM?\nAnswer: 327","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let p(g) be the first derivative of -1\/3*g**3 - 1 + 0*g - 1\/2*g**2. Let o(k) = -2*k**2 - 2*k - 1. Calculate -o(d) + 4*p(d).\nAnswer: -2*d**2 - 2*d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 319982000 a multiple of 520?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let q(b) = b**3 - 6*b**2 + b + 5. Give q(6).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (30\/(-135) - 38\/(-90))*(-29 - -49).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-41*a + 4*a - 36*a)*((0 + 0 - 2)*(-2 + 0 + 3) - 4 + 4 - 2)*(-7 + 6 - 21).\nAnswer: -6424*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -118 + 280. Let r = a + -109. What is the units digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2413061 is divided by 8526?\nAnswer: 203","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -327769*s + 163898*s + 163894*s.\nAnswer: 23*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {p: 2, m: 8, n: 2, r: 3, h: 2}. What is prob of picking 1 r, 2 p, and 1 h?\nAnswer: 3\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -5581*y**4 + 2*y**3 + 748*y**2 + 21.\nAnswer: -133944*y + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 1778521.8ms in minutes?\nAnswer: 29.64203","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -27, -134, -419, -972, -1883, -3242, -5139?\nAnswer: -7664","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth smallest value in 1\/4, 0, 12, -0.2, -5\/2, 4, -100?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 30532427 is divided by 935.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 134 + -65. What is the units digit of d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -19 - (-15 + 16 + -12)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3123 is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 971845 is divided by 51149?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-163*u - 944 + 944 + (-3 + 0 + 4)*(0 - u + 0))*(13*u**2 - 6*u**2 - 2*u - 4*u**2).\nAnswer: -492*u**3 + 328*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from qeeq. What is prob of picking 1 e and 1 q?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((2 - 2 + 2*v)*(1 + 1 + 0) + 3*v - 2*v - 3*v)*(0 - 1 + 0).\nAnswer: -2*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 38\/56 + (-93)\/217.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 355, 1154, 2485, 4348?\n\"Answer: 266*s**2 + s + 88","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 23 + -15. Suppose -10 - j = -2*n - o, 4*o - 51 = -5*n. Let s = -7 + n. Solve 4*t - 20 = -s*t for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 234 a factor of 483222215?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -84893573*f**4 - f**3 + 23*f - 11951427 wrt f.\nAnswer: -1018722876*f**2 - 6*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Divide -17155944 by 156.\nAnswer: -109974","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 554008 and 2569897?\nAnswer: 1870885016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 157905610.\nAnswer: 2, 5, 241, 65521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 467868\/342 + 98\/(-2793). What is the highest common divisor of j and 8968?\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(q) = -q**3 - 15*q**2 - 4*q - 18. Let u(a) = -a**3 - 16*a**2 - 5*a - 18. Let f(h) = 3*s(h) - 2*u(h). Let t be f(-13). Solve -3*x = -x - t for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-4 + (-5157)\/135 + 43)*2*10?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 492606892?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -5011 + 8551. Is 59 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 1025 + -549. List the prime factors of c.\nAnswer: 2, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-15)\/3 + (8813 - -12). Suppose 17559 = 3*f - 3*d, -2*f + 2882 = -3*d - m. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 p, 1 g, and 1 w when three letters picked without replacement from spugwuouguos.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let z(t) = -33*t**2 - 14*t + 1. Let j(p) = p**2 + 2*p. Give 4*j(v) + z(v).\nAnswer: -29*v**2 - 6*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (w**(1\/4)*w)\/w**7 assuming w is positive.\nAnswer: w**(-23\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 26096808 = 23*v + 169846808. Round v to the nearest one million.\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -879 + 820 + (-2 - 2)?\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u(s) be the second derivative of -s**5\/10 - s**4\/2 - s**3\/2 - 9*s**2\/2 - 56*s + 1. Calculate u(-4).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -13787694 divided by 3\nAnswer: -4595898","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 326?\nAnswer: 2, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {q: 6, w: 1, e: 3, k: 1, f: 4}. What is prob of picking 1 q, 1 k, and 1 w?\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 32 and 2272.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (18\/15)\/(4\/110). Suppose -2*q = -4, -5*l + j = -4*q + 3*q. Which is the biggest value?  (a) l  (b) 4  (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 100672 + -100671.99999914322. What is o rounded to seven decimal places?\nAnswer: 0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor k**3\/2 + 4805*k**2\/2 + 28803*k\/2 + 43191\/2.\nAnswer: (k + 3)**2*(k + 4799)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let i(r) = -135*r + 80 + 38*r + 14*r. Is i(-19) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -133923*a + 20*a**3 + a**2 - a**2 + 133923*a.\nAnswer: 20*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -5941 + 5935. Let i(r) = 3*r**2 - 7*r - 7. Let v(x) = -8*x**2 + 20*x + 20. Calculate w*v(d) - 17*i(d).\nAnswer: -3*d**2 - d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let b(k) = 2*k**2 + k - k**2 - 3 - 1. Let h be ((-480)\/(-9))\/8*(6 + 42\/(-10)). What are the prime factors of b(h)?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose y = -y + 14. Solve 0 = -4*b - f - 11 - y, -4*b = -2*f + 24 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.2747772 times -0.018?\nAnswer: -0.0049459896","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (2*(-4)\/(-20))\/((-5)\/(55\/(-11)))?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:02 AM and 2:00 PM?\nAnswer: 538","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 6814806, 6814780, 6814728, 6814644, 6814522, 6814356, 6814140?\n\"Answer: -t**3 - 7*t**2 + 2*t + 6814812","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 4 - 0. Suppose 0 = 3*v - 5*v + f. Find the common denominator of (23\/v - -3) + -4 and -41\/7.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-5 - -1)\/(1\/4). Which is smaller: -17 or x?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 2a6071 - -1d?\nAnswer: 2a608e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: -2263 (base 8) to base 2\nAnswer: -10010110011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m(i) = -3*i + 0*i - i + 3. Let f(u) = 3*u + 35. Let k(r) = -7*r - 60. Let q(v) = -7*f(v) - 4*k(v). What is -5*m(l) - 3*q(l)?\nAnswer: -l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.09 in -1, -0.127, -4, 0.5?\nAnswer: -0.127","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 24 and 824712.\nAnswer: 824712","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 12751816 and 350.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*a + 5*q = 90, -96 + 11 = -5*a - 5*q for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-8)\/20 - 2\/(-5). Solve -2*o = -4*o - 3*v + 13, t = 4*v - 12 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(t) = 22*t + 23. Calculate y(-2).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 4986716 and 179662?\nAnswer: 4382","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 512149795 to the nearest integer?\nAnswer: 22631","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 1435213 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.20636036 rounded to two dps?\nAnswer: 0.21","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (v**4 + 9*v**4 - 3*v**4)*(6 - 5 - 4 + (-1 - 1 + 0)*(1 + 1 + 0)*(-1 + 0 - 1)) to d*v + w + o*v**4 + s*v**3 + m*v**2 and give o.\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*f - h = 50, -3*f - 8*h + 4*h + 53 = 0. Let x(n) = -32*n - 11. Let d(s) = 11*s + 4. Give f*d(p) + 4*x(p).\nAnswer: -7*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let x(u) be the second derivative of 6101*u**3\/3 - 11641*u**2\/2 - 2*u - 1760. Differentiate x(p) with respect to p.\nAnswer: 12202","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 0 or 2\/579?\nAnswer: 2\/579","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 18265251?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let i(w) = -240*w**2 + 32*w + 32. Let h(u) = -37*u**2 + 5*u + 5. What is 32*h(j) - 5*i(j)?\nAnswer: 16*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 6308268 to the nearest integer?\nAnswer: 2512","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -7*v - v + 7*v - 11*v to a + m*v and give m.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: -83 (base 16) to base 4\nAnswer: -2003","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 15\/(-9)*(-6)\/5. Solve -i**2 + 22 + 25 + 7*i**w - 15*i**3 + 39*i - 29 = 0 for i.\nAnswer: -1, -3\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*c = 6, -5*k + 5*c + 3209 = 3*c. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-4 + 4 - 2)*(-1 + 8 + 1)*(-7*o**3 - 8*o**3 + 3*o**3) to the form w + a*o + r*o**3 + p*o**2 and give r.\nAnswer: 192","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let t(d) = -d**2 - 2*d + 5. Let j be t(0). Suppose 2 + 3 = j*h. Let k be 2\/4 - h\/2. Solve 2*q + 5*z - 2 = -k, q = -3*z + 1 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is k in 4*k**4\/7 + 4108*k**3\/7 + 3904*k**2\/7 - 205008*k\/7 + 196992\/7 = 0?\nAnswer: -1026, -8, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 n and 2 a when three letters picked without replacement from nanaaa?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 72393016751.37108995 - 72393019276. Let r = o - -2542.62891. Let a = -18 + r. Round a to 7 dps.\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -50*h + 4 = m - 54*h, 29 = 4*m - 3*h. Let d(f) be the second derivative of m*f + 0*f**5 + 0*f**3 + 2\/75*f**6 + 0 - 1\/15*f**4 + 0*f**2. Solve d(v) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -3  (b) 0.072  (c) 2825381\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/10 of a millennium in months?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 15.12 + -15. Let m = -2.88 - k. Let s = -8\/7 - -17\/21. Which is the third smallest value?  (a) 2  (b) m  (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -50 = 40*g - 50*g. List the prime factors of (-1 + g + 0)*(76 - -46).\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*q**3\/9 - 1342*q**2\/9 + 38752*q\/9 - 91336\/3 = 0.\nAnswer: -699, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 4100 + 10705. Suppose 5*q - 9155 = 4*b + l, 2*b = -5*q - 12010. Let h = b + 65898\/11. Find the common denominator of -61\/4 and h.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*w + 2*h - 6, -4*w + 2*h + 0 = 6. Solve -4*r + 3*r + 1 = w for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -16 - -9. Let f = u - -22. Let g = f + 1. Is g a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((u**(-2\/9))**(-13\/6))**(-33)\/(u**(-1)*u*u*u**(1\/4))**(6\/5) assuming u is positive.\nAnswer: u**(-313\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Does 4 divide 528523380?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 2179 and 73356035?\nAnswer: 2179","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let p be ((-2)\/(-2))\/((-4)\/(-20)). Solve -3*q + 34 = 5*a, -2*q + p*q - 3*a = -6 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(c) = 7*c**2 - 3*c - 8 - c**3 - c**3 + 6*c + 3*c**3. Suppose 13*r - 123 = 254. Calculate the remainder when r is divided by t(-6).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(k) = -k. Let z(g) be the second derivative of 19*g**3\/6 + 19*g. What is z(d(l))?\nAnswer: -19*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 358 + -17. Does 94 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(a) = -3*a**2 + 31*a - 17. Calculate i(10).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence kkkb when four letters picked without replacement from {b: 4, n: 1, h: 1, k: 7}.\nAnswer: 7\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*j - 13 = z, 2*z - 4*j + 11*j = 2*j for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -13 + (38 - 6) + 4.\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -j + 5 = 3*w - 9, 2*j = w - 7 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose r - 17854 = -17*f + 15*f, f = -3*r + 8917. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(u) = 17*u. Let c(t) = -3*t**2 + 8*t. Calculate k(c(d)).\nAnswer: -51*d**2 + 136*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -48*g**4 + 54*g**3 + 3*g**2 - 9*g = 0. What is g?\nAnswer: -3\/8, 0, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 7994 is divided by 23.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 8762353 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand -7*z + 12*z - 4*z + 1 - 2*z - 1 + (1 + 2*z - 1)*(4 - 6 + 1).\nAnswer: -3*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 1188210651 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*d**3\/11 - 13532*d**2\/11 - 22889378*d\/11.\nAnswer: -2*d*(d + 3383)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 5 and 81852790?\nAnswer: 409263950","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 2\/(-5) + 44\/10. Let j = 7 - q. Suppose -2*u + 10399994 = -h - h, 0 = -2*u - j*h + 10400009. Round u to the nearest one million.\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(h) = -h**3 + 2*h**2 + h - 1. Let g be j(3). Let b = g - -10. Let t be (-6)\/(-27) - (-16)\/9. Solve 31 = b*k - 5*y, k = t*k + y + 3 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(n) = 196*n**2 - 2*n - 3. Let c(m) = -392*m**2 + 4*m + 8. Let y(o) = -4*c(o) - 9*r(o). What is the second derivative of y(s) wrt s?\nAnswer: -392","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 43*v = 39*v + 196. Suppose -1609 = -5*x + 2*d, -x + v = 5*d - 262. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1 = 4*o + 3*t + 4, 4*o + 2 = -2*t. Solve y - v + 2 = o, -2*y = 5*v + 30 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(h) = -6*h. Let x(k) = -282*k**2 + 276*k**2 - 67 + 67. What is o(x(g))?\nAnswer: 36*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let o(q) be the first derivative of -q**3 - q**2 + 2*q + 249. Let j be 8\/(-5) + 2\/(-5). Determine o(j).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:51 PM and 8:41 PM?\nAnswer: 410","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 20925 + 5c?\nAnswer: 20982","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*p + 3*w + 16 = 0, -5*w + 9 = -p - 11. Suppose -2*a = -3*a + 2. Sort p, 1, a in increasing order.\nAnswer: p, 1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-4)\/3 + 22\/(-33).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -31 = -2*d - 5676*o + 5681*o, d - 17 = 3*o for d.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let o(h) = 2*h**3 + 539*h. Let j(b) = 4*b**3 + 1078*b. Calculate -6*j(u) + 11*o(u).\nAnswer: -2*u**3 - 539*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: -2385 divided by 38\nAnswer: -2385\/38","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Does 869 divide 3930802?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -53\/14 and -41\/7.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-3)\/9*(-8 + 2). Suppose a*i - 25 = -5*c, i = 5*c - 2*c - 4. Suppose c*s - 5 = k + 45, -5*k = s - 38. List the prime factors of s.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4*z - 21*z + 6*z + (3*z - 6*z + 4*z)*(3 - 1 - 1))*(2*z + 3*z + 4*z).\nAnswer: -90*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 23373970.27 from -0.004694.\nAnswer: -23373970.274694","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 25 + -16. Let z = -216 + 222. Let j = w - z. What is the closest to 0.1 in 3\/8, 5, j?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 6854 + -11328. Round p to the nearest 1000.\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 13 + -3 + -4 - (-2 + 2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {y: 6, h: 4, e: 2, s: 1}. Give prob of picking 2 y and 1 s.\nAnswer: 15\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.063011637 * -1.\nAnswer: 0.063011637","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 217 and 124?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let a(p) = p + 14. Let i be a(-11). Suppose 5*u = -4*f + 73, -i*f = f - 5*u - 103. What is the units digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*k = 4 - 10. Factor -4*i**2 - 5*i**4 + 9*i**3 - 2*i**3 + 3*i**k - i**2.\nAnswer: -5*i**2*(i - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -4, -10, -21, -5, 0 in decreasing order.\nAnswer: 0, -4, -5, -10, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -1\/3556 + -12223\/2667. Let o = 38 - -25. Calculate the common denominator of t and 14\/o*303\/(-8).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 21001202 (base 3) to base 14.\nAnswer: 1c3c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((k**(2\/3)*k**6\/k)\/(k*k\/k**3*k)**16)**45)**(28\/5) assuming k is positive.\nAnswer: k**1428","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.29638349 rounded to 0 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*y = -3*y + 12. Let b(z) = z**2 + z - 8. Let m be b(-4). What is the derivative of 5*q**4 - q**y + 0*q**m - 12 - 2*q**4 wrt q?\nAnswer: 8*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(y) = -y + 12. Let x be i(7). Let t(w) be the first derivative of -w**4\/4 + 2*w**3 - 2*w**2 - 5*w - 1. Let v be t(x). Solve v = -q + 1 + 1 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -2*a**2 - 19928*a*n**3 + 31*n**3 + 1452*n**2 - 2*n wrt a?\nAnswer: -4*a - 19928*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let z(m) = -m**3 + 9*m**2 + 2*m - 1. Let h be z(9). Let i = h - 7. Solve -4*f + 2 + i = 0 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(g) = -2*g - 19. Determine m(-8).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 2280 and 18?\nAnswer: 6840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2470 is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*u + 2*n = -1 + 7, -4*u = 3*n - 8. Solve -10 = -u*r - 0 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (32*c**3 - 211*c**2 + 211*c**2)*(7*c - 2*c - c) - 4 + c**4 + c**2 + 4.\nAnswer: 129*c**4 + c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let r(o) = o**2 + o - 3185. What is r(-57)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Does 1670 divide 564688753?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 3 in -2\/3, -0.6, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (469 - 3263*i + 606 - 1075)*(0 + 3 - 2).\nAnswer: -3263*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 761*v + 152*v**2 - 761*v.\nAnswer: 152*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: (-44)\/48 + (9\/4 - 2)\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 68.91857 decades in months?\nAnswer: 8270.2284","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 545168 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let l(b) = -b**3 + 14*b**2 + 1. Let p be l(14). Let v(q) = -6*q**3 - q**3 - 2*q + 2*q**2 + q. Determine v(p).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 165 - 121. Let t(f) = -10*f + 239. Let i be t(24). Sort q, -0.1, i in descending order.\nAnswer: q, -0.1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 865 to the power of 1\/3, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let f(z) = z**2 - 5*z - 3. Let s be f(6). Let q be -32*(-5)\/70 + (-2)\/7. Let x be (-35)\/q - (-2)\/(-4). Which is the third biggest value?  (a) s  (b) -4  (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose v + 0*v + 2 = 0, 2*s + v = 10. Suppose 488 = -2*c + s*c. What is the tens digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 760850*y**5 + y**3 + 9*y**2 - 29*y + 15 wrt y?\nAnswer: 45651000*y**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Divide 3718056 by 5.\nAnswer: 3718056\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 95550 <= -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 384994 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 6 - 1\/((-9)\/(-36)). Put f, 45, -5 in increasing order.\nAnswer: -5, f, 45","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many centimeters are there in 0.2855911km?\nAnswer: 28559.11","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: 157\/(2826\/(-36))*(-1)\/(-29)\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-33 - 149 - 293 - 112)*(-1 + 1 + z**3) to v*z**3 + s*z**2 + b + l*z and give v.\nAnswer: -587","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of (-1)\/(((-17)\/374)\/(35485\/10))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -7543.4 - -7543. Let w(g) = -g**3 + 12*g**2 + 14*g - 11. Let o be w(13). Let h be o\/8 - 18\/24. Which is the closest to 1\/2?  (a) p  (b) 0  (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-4*r + 4*r - 8*r**2)*(0 + 0 - 3*r) as j*r**3 + a*r**2 + l*r + z and give j.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: How many microseconds are there in 515457.1 days?\nAnswer: 44535493440000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Product of -1948.3 and -0.0987.\nAnswer: 192.29721","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 264*-16.\nAnswer: -4224","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.05304911 rounded to two dps?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 560?  (a) 10  (b) -3\/4  (c) -3  (d) -5  (e) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2?  (a) 21  (b) -0.1  (c) 7  (d) -4\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 10631114428.1142773 - -143.8857227. Let j = 10631114422.00000122 - q. Let y = j - -150. Round y to 7 dps.\nAnswer: 0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -354844356 - -120744356. Round t to the nearest one million.\nAnswer: -234000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1.22568752 take away -0.5?\nAnswer: -0.72568752","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 19 - -25. Let i = -43 + s. Let h be (-23 - i)\/((-6)\/20). Calculate the highest common divisor of 16 and h.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 7174 (base 13) to base 6.\nAnswer: 200231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {x: 1, u: 4, s: 1, b: 7}. Give prob of sequence us.\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 1671 - 1671.000004637. Round g to 7 dps.\nAnswer: -0.0000046","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(a) = a - 10. Calculate i(4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose u + 3*q - 20 = 0, 5*u - 80 = u + 2*q. Suppose 3*l - 19 = -h - 5, -4*h + u = 0. Solve 5*t - 7 = -4*f + 4, 3*t = -l for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(l) = -l. Let v(g) be the first derivative of g**4\/24 + 19*g**2\/2 - 49. Let p(r) be the second derivative of v(r). Determine p(z(c)).\nAnswer: -c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let p(x) = 32*x. Let q be p(0). Are q and 402 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 584 minutes after 12:50 PM?\nAnswer: 10:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*u + 17 + 3 = 0. Let q be u\/12 + 4\/6. Which is smaller: -2\/9 or q?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(k) = -k - k + 3*k. Let a(d) = -5*d. Give a(w(b)).\nAnswer: -5*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 16*l - 11 = -395. Let n(j) = j**3 - j**2 + 26. Let i be n(0). Let g = i + l. Put 8, 1, g in descending order.\nAnswer: 8, g, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(p) = -2*p**2 + 53*p - 317. Let h be k(9). Let a(c) = c**2 + 3*c. Let m be a(-3). Put h, m, -3, 2 in increasing order.\nAnswer: -3, h, m, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-2*j + 3*j + 5*j)*(-6 - 3 - 4) + 10 - 44*j - 3 + 48*j to the form o*j + c and give o.\nAnswer: -74","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 25185, 100760, 226729, 403098, 629873?\nAnswer: 907060","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-8 + 6)\/(6\/(-15)). What is the second biggest value in v, 4\/59, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many kilograms are there in 56.16869mg?\nAnswer: 0.00005616869","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 5174?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: How many kilograms are there in 9\/10 of a tonne?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -3375, -3345, -3303, -3249, -3183, -3105?\nAnswer: -3015","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w(d) be the first derivative of -d**2\/2 + 17*d + 2. Let y be w(7). Suppose 0 = -3*s + 7 - y. Which is greater: s or -2?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 37*-6.9.\nAnswer: -255.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let x(y) = 3*y**2. Let k be (-3)\/6 + (-70)\/(-28). Let i(m) = 80*m**2. Calculate k*i(l) - 55*x(l).\nAnswer: -5*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 21 + 12.5. Let q = 34 - g. Which is the second biggest value?  (a) -2  (b) -0.3  (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 87727 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 11*r = d + 52, -3*r + 18 = -2*d + 9 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -20036, -40074, -60112?\nAnswer: -80150","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -30 = -2*k - 4*l, -791*k + l = -786*k - 9. Sort 5, 10, -655, k in ascending order.\nAnswer: -655, k, 5, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(k) = -17*k - 1. What is the remainder when v(-3) is divided by (-13)\/(2\/(-2))*1?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 494359.\nAnswer: 494359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 2 - 4 - (-3 - 2). Suppose -3*f + 5*n + 61 = 0, 2*n + t*n + 44 = 2*f. List the prime factors of f.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 94317662359 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 15*t = 14*t + 5 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let b(x) = -2*x**2 + 25*x + 6. Let g be b(13). Let y = 10817\/156 - 974\/13. Let q = y + g. Calculate the common denominator of -85\/26 and q.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (((-4644)\/81)\/(-86))\/(((-4)\/(-9))\/(-1))?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*f**4 + 176*f**3 - 1548*f**2 - 8640*f - 6912.\nAnswer: -4*(f - 24)**2*(f + 1)*(f + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-7 - -4)*(1 - -2). Are -10 and f unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 4 s when four letters picked without replacement from {s: 7, a: 4}?\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let n(q) be the first derivative of -6*q**5\/5 - q**4\/2 + 5*q**2\/2 - 115*q + 1613. Differentiate n(k) wrt k.\nAnswer: -24*k**3 - 6*k**2 + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 39247.19mm in nanometers?\nAnswer: 39247190000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 2470 and 62890?\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1 + 1 = -3*r. Solve 5*u - 5*b + r = -10, -3*b + 7 = -2*u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {b: 1, d: 1, y: 1, g: 1, o: 1}. What is prob of picking 1 g and 1 o?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is the sixth biggest value?  (a) 2\/11  (b) -5  (c) -811  (d) 5  (e) -0.3  (f) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*a - 1 - 14 = -5*j, -5*j = -5*a - 15. Suppose 4*l = j*v - 40, 3*v = l - 6 + 25. Let o be -9 + 6 - (1 + l). Solve -p = o*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 5 + 3. What is the remainder when 87 is divided by p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 35 + -49. Let x = 14 + a. Suppose -4*p + 20 = -x*p. Is p a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 19661 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 22 = -4*q + 2*l - 5*l, -4*l - 4 = -q. Let o be (-1)\/q + 31\/4. Let n be (6\/4)\/(o - 2). Which is the nearest to n?  (a) -1\/3  (b) 0.3  (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*d + k - 8 = 0, -2 = -d - 403*k + 398*k for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Factor d - 3\/2*d**2 + 1\/2*d**4 + 0 + 0*d**3.\nAnswer: d*(d - 1)**2*(d + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 172 a factor of 164453?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 231 + -230.6. What is the closest to -0.2 in 0.3, -5, m?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -2\/7 or 884?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3822 is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: 32550 divided by 5\nAnswer: 6510","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 4 a factor of 855702464?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-1 - -3)*(-15)\/(-6). Suppose x - i*q + 19 = -3*x, 4 = -4*q. Let g(h) = -h**3 - 4*h**2 - 5. Is g(x) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(h) be the third derivative of 0*h**3 - 3*h**2 + 0*h - 1\/8*h**4 + 0. Calculate x(-2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(z) = 72176*z - 72180*z + 1 - 3. Let y(k) = k**2 - 1. What is q(o) - 3*y(o)?\nAnswer: -3*o**2 - 4*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let k(u) = u**2 - u + 5. Let s be k(0). Suppose 7*r + 210 = s*r. List the prime factors of r\/(-12) + (-6)\/8.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (0*b**3 + 3*b**3 + 0*b**3)*(8*b - 23*b - 7*b) + b**4 - 3*b**4 + b**4 to the form o*b**4 + v*b + z + n*b**2 + g*b**3 and give o.\nAnswer: -67","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let j(s) = -s**2 - 4*s - 1. Let t be j(-3). Let i be -7 - (-4 - t*-1). Let d(z) = z**3 + 5*z**2 + z + 2. Let v be d(i). Is v at least as big as -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (6\/4)\/((-1)\/(-2)). Let n(z) = -5 + 13*z**2 - 19*z**3 - 10*z + g + 18*z**3. List the prime factors of n(12).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 488 a factor of 3233488?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve -24 = -4*o - 20*o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is -8424 divided by 117?\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*f = -10 + 46. Is 33 a factor of 2\/(-3) - (238260\/f)\/(-19)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are 3189 and 3185 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -12049.282 + 12034. Round s to one dp.\nAnswer: -15.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(w) be the second derivative of w**7\/105 + 7*w**6\/75 + 8*w**5\/25 + 2*w**4\/5 + 4*w + 4. Find s, given that h(s) = 0.\nAnswer: -3, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be ((-210)\/(-20))\/(6\/72). Calculate the highest common divisor of k and 1182.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.04819*-5.\nAnswer: -0.24095","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -1010112 - 221201?\nAnswer: -2002020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 4  (b) 55  (c) -0.3  (d) 2\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let r(s) = s**2 + 10*s + 17. Let o be r(-12). Suppose -o = -3*y + h, -h - 4 = 1. Is y a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(x) = -x - 3. Let q be b(-3). Suppose -6*m + m = -0*m. Is q at least as big as m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -15 - -26. Let y(a) = 6*a**2 - 3*a - 6. Let h be y(0). Let d be 1*(14 - (12 + h)). Is d greater than or equal to x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(j) = 9*j. Let v be w(5). Let y be 142\/5 + 2 + 10\/(-25). Let r be v\/y*(-1)\/(-33). Does r = 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (z**(-16)*z*z*z**(-2\/19)*z*z)\/((z\/z**(5\/2))\/(z*(z*z*(((z\/(z\/(z**(1\/9)\/z*z)))\/z)\/z)\/z*z*z)\/z)) assuming z is positive.\nAnswer: z**(-3247\/342)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2\/7*b**3 + 2\/7 - 2\/7*b**2 + 2\/7*b = 0. Calculate b.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.2496 rounded to two dps?\nAnswer: -0.25","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let s be -3 - -10 - 3 - (-98)\/4. Which is the third smallest value?  (a) -0.3  (b) -3  (c) s  (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 3 - 32887205?\nAnswer: -32887202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let y(x) = -19*x + 12. Calculate the remainder when 118 is divided by y(-1).\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -11167 (base 8) to base 2.\nAnswer: -1001001110111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h(a) be the first derivative of a**3\/3 + 4*a**2 + 6*a + 2. Calculate h(-6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 i and 1 u when three letters picked without replacement from uujiuiiujjiiiiuiujii.\nAnswer: 9\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -184, -319, -404, -439, -424, -359, -244?\n\"Answer: 25*q**2 - 210*q + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 90*(-176)\/142560 - ((-754)\/(-18) - 1).\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(76)*1 - sqrt(76))*5 - -6*sqrt(76)*-2)\/(sqrt(40)\/(1*sqrt(810))))**2.\nAnswer: 221616","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is -39.97 rounded to zero decimal places?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -307.6428 - -308.3. What is g rounded to two decimal places?\nAnswer: 0.66","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(a) = -11*a**3 - 22*a**2 - 4. Let d(j) = 12*j**3 + 23*j**2 + 5. Let v(l) = 4*d(l) + 5*g(l). What is the third derivative of v(x) wrt x?\nAnswer: -42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (15 + (-632)\/40)\/((-1)\/5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 21, 29, 51, 93, 161, 261?\nAnswer: 399","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(1764)*-4 + sqrt(1764))\/(sqrt(28)*1 - sqrt(7))*5)**2.\nAnswer: 56700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 21409 + -1019740.\nAnswer: -998331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 l and 1 i when two letters picked without replacement from {d: 1, i: 1, k: 1, l: 1, y: 2, f: 2}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*h - 8 = 4*m - 2*h, 3*m - 15 = -4*h. Let p = m - -4. Solve -4*j + p*q + 3 = 0, -2*q = j + q - 5 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {v: 2, e: 1, x: 2, z: 2, a: 6, m: 4}. Give prob of sequence az.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.4930877 to 5 decimal places.\nAnswer: -0.49309","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -0.5 - 0. Let m = c + 2.7. Let g = m + -2.105. What is g rounded to 2 decimal places?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 10 - 7. Let w be 45\/12 - 1\/(-4). Which is the second biggest value?  (a) o  (b) w  (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -2608 + 2483. Which is the nearest to -2\/3?  (a) -1\/4  (b) -5  (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 1.108 + -0.108. Let r = -0.8 - -0.5. Let i = r - -0.4. What is the nearest to i in -0.4, -5, h?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (18\/108)\/(7\/((-1596)\/(-6)))*(-960)\/64?\nAnswer: -95","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 91 + -80 + (26 - 4 - -8) + 4\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -3 times -1420632\nAnswer: 4261896","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let w(k) = 5*k + 88. Let a(i) = -5*i**2 - 3*i + 73. Let q be a(4). Calculate w(q).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 127464?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is (-418)\/22 - 4 - -32932 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*q - 18 + 4 = w, 4*w + 20 = 2*q. Let p be (-10 - -1)*w\/6. Suppose -3 = -a + p. What is the units digit of a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 0.05 and -74693437?\nAnswer: -3734671.85","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose s - 5 = 4. Solve 4*l - s*l - 10 = 0 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -119382*y**4 - 7761318?\nAnswer: -477528*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*y - y = 0. Which is greater: -1 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -11*f + 1 + 54. Suppose 0 = -f*q - 59819 + 11164. Let t = q + 13932. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (3 - 2 + 5)*(6 - 1 - 4)*(330*r - 209*r + 392*r) as s + i*r and give i.\nAnswer: 3078","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = f - 4*f, 2*w = 4*f for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 8 - (9 - 8 - -6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s(t) be the third derivative of -t**6\/360 + t**5\/30 - 13*t**4\/24 - 17*t**2. Let i(h) be the second derivative of s(h). Calculate i(-3).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 12345 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 17114 a multiple of 185?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 1259863841 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-66)\/(-154))\/((3\/(-1))\/(-1))?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 697723653 to the nearest integer?\nAnswer: 163","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: -4774.58622 - -0.122\nAnswer: -4774.46422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose z = -n + 16, -2*z - z = -15. Let w = n + -7. Suppose d = w*d - 30. List the prime factors of d.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*h + 2*m = 53, -5*m + 33 = 13. What is the units digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 80 a factor of 1680?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: -3055256 (base 7) to base 9\nAnswer: -618142","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*i + 20, 3*g = -6*i + 8*i + 41. Let t(z) = -z - 6. What is the least common multiple of t(-9) and g?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 1 - 241?\nAnswer: -240","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 72 + -42. Suppose -l = -x - j, -x + 2*x + 3*j = 30. What is the highest common divisor of x and 45?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 12\/11, -4\/5, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let b(x) be the second derivative of 0*x**2 + 1\/3*x**3 + 0 - x. Let j(o) = -1. Let m(z) = 2*z + 6. Let a(r) = -6*j(r) - m(r). Determine a(b(t)).\nAnswer: -4*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -z - 4*j + 2*j - 11, z = -j - 8 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 5998 to the power of 1\/2, to the nearest integer?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 120 = 11*i - 298. Let v = -36 + i. Suppose 5*k + f = 15, v*k - 4*f + 30 = 7*k. Solve -c - 3 = -k for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2 - 113*l + 3 + 0.\nAnswer: -113*l + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 3.2529 - -0.1461. Let r = w - 0.429. Let u = 0.03 + r. Are 3 and u unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -261  (b) 0.04  (c) 0.4  (d) 0.1  (e) -361  (f) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 57, 240, 635, 1308, 2325, 3752, 5655?\n\"Answer: 11*p**3 + 40*p**2 - 14*p + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f(n) be the third derivative of -n**4\/2 + 30*n**2 + 2. Let u(p) = -p**2 + 4. Calculate f(u(z)).\nAnswer: 12*z**2 - 48","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Does 60 divide 1593131?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -5, 487, -16, -0.2?\nAnswer: 487","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence kkr when three letters picked without replacement from rrrmcrckkrckrr?\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let s(c) = 34*c - 77. Let y(q) = 21987*q**2. Give s(y(g)).\nAnswer: 747558*g**2 - 77","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -1\/69 + 212\/345. Let z = 1 - 0. Let k = 149.3 + -151.3. What is the closest to z in 0, r, k?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 43 and 87.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 11 - 176c540?\nAnswer: -176c52c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -12158, -48466, -108992, -193742, -302722, -435938?\n\"Answer: -v**3 - 12103*v**2 + 8*v - 62","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: How many kilograms are there in 11\/2 of a tonne?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 29458?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 19792821, 19792819, 19792823, 19792839, 19792873, 19792931, 19793019?\n\"Answer: l**3 - 3*l**2 + 19792823","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 35712720 and 22320450?\nAnswer: 178563600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Determine l, given that 5*l**4\/8 + 929*l**3\/8 - 354*l**2 + 5*l\/2 + 472 = 0.\nAnswer: -944\/5, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 2*(-8)\/16*0\/2. Solve 2*i - 2 + 4 = z for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -93 + 100. Calculate the highest common factor of d and 49.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (23 + -1 + -2)*(-20 + 32). Suppose -2*i = 16 - 46. Calculate the greatest common factor of b and i.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -0.69 or 0.9181?\nAnswer: -0.69","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: How many kilometers are there in 89191.77 millimeters?\nAnswer: 0.08919177","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 118 is divided by 40?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((d**9)**(20\/11))**(-2\/35))**(1\/8))**(-13) assuming d is positive.\nAnswer: d**(117\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let m(s) = 70*s**2 + 41*s + 135. Is m(-5) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: 918\/168 - 39\/3094*17\nAnswer: 21\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 19 + -32. Let v = y - -9. What is the least common multiple of 20 and (v\/(-6))\/((-4)\/(-36))?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 1356, 5346, 11998, 21312?\nAnswer: 33288","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 9085.5 + -9085. Which is the closest to -1?  (a) -4\/27  (b) 8  (c) q  (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*d - 5*x = 0, 4*d - 3*x - x = -36. What is the remainder when (2\/(-6))\/(d\/495) is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (1585\/(-5))\/((-6)\/6). Let o = -66 + a. What is the units digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-2 + sqrt(1300) + sqrt(1300))*-3*1)**2.\nAnswer: -720*sqrt(13) + 46836","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 625*s**2 + 615*s**2 - 1238*s**2.\nAnswer: 2*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -3237996\/95 + 34083. Let v = p + 7\/19. Which is the nearest to 3?  (a) 2  (b) v  (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3425036 is divided by 240?\nAnswer: 236","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 1 less than or equal to 57\/16120?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: How many milligrams are there in 37\/5 of a gram?\nAnswer: 7400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -1.4 plus 15.82?\nAnswer: 14.42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 334*n**3*t**3 + 23*n**3 - 2*n**2*t**3 - 10773*n**2*t**2 wrt n.\nAnswer: 2004*t**3 + 138","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Find i such that -2*i**3\/21 + 264*i**2\/7 + 38*i - 1588\/21 = 0.\nAnswer: -2, 1, 397","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 1\/3, 0.047, -5, -1\/5, 3945?\nAnswer: 0.047","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 1211020210111120 + 10?\nAnswer: 1211020210111200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let u(q) be the first derivative of q**7\/315 + q**6\/90 - q**4\/18 - q**3\/9 + 2*q**2 - 1. Let z(x) be the second derivative of u(x). Factor z(r).\nAnswer: 2*(r - 1)*(r + 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -w - 42 - 10. Let y = -32 - w. Suppose -p + y = -0*p. Solve 7*z + p = 2*z for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*n**2 - n**2 - n**2)*(-4*n + 3*n + 2*n) - n + n - n**3 + n**3 - n**3 + 7*n**3.\nAnswer: 4*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*b = -3*n + 39, 3*n + 0*b - 23 = b. Suppose -u - j = n + 18, -5*u - 159 = -j. Is (0 - u)\/(6 + -5) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 78, 214, 544, 1164, 2170, 3658, 5724?\nAnswer: 8464","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s(h) = -49 - 7*h - 13*h - 6*h. Let u(b) = -17*b - 33. Let x(n) = 5*s(n) - 7*u(n). Let k(q) = 4*q + 5. What is 17*k(r) + 6*x(r)?\nAnswer: 2*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Express k**4 + 4*k**4 - 3*k**4 + (2*k**3 - 4*k**3 + k**3)*(7*k - 6*k - 27*k) in the form i*k**3 + y + g*k**2 + j*k + u*k**4 and give u.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4074603557.\nAnswer: 33391, 122027","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*a - 7 = 4*a. Suppose -13*t - 52 = -39*t. Suppose -t*z = -a*z. Sort 4, 1, z in decreasing order.\nAnswer: 4, 1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let 0*s - 2\/15*s**2 + 6\/5*s**4 + 2\/3*s**5 + 2\/5*s**3 + 0 = 0. What is s?\nAnswer: -1, 0, 1\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 10\/(-3)*16\/40. Which is bigger: p or -15?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:53 AM and 8:00 PM?\nAnswer: 667","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let m(s) = 15*s - 529. Calculate m(36).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let a(j) be the second derivative of j**5\/60 + j**4\/12 + 19*j**3\/3 - 5*j**2 - 10*j. Let v(w) be the first derivative of a(w). Is v(0) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1744.1201 rounded to the nearest 100?\nAnswer: -1700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 255251994 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 2397717.3 months in centuries?\nAnswer: 1998.09775","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: (106 - -2) + 2527 + -2561\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is (-7781)\/(-8) + 3\/8 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 17686?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let n(c) = c**3 - 3*c**2 + 2*c. Let q be n(4). Suppose -g - 4*t + 0*t = -3, -q = 2*g - 2*t. Let f(k) = -k**2 - 10*k + 6. Let d be f(g). Solve 6*a = a + d for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 r and 3 a when four letters picked without replacement from warwwwprrdwdavwawra.\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 27 + 53. Let o be 1*(z\/(-12))\/((-3)\/(-18)). What is o rounded to the nearest one hundred?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, 22, -12 in increasing order.\nAnswer: -12, 5, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let p(j) = 38*j + 2. Let n be p(2). Let r = -18 + n. Is 20 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -12*b + 7 = -5*b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -16*p + 85 = p for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1*(sqrt(6) + 3*sqrt(54))\/((sqrt(2) - (-2*sqrt(2) - sqrt(2)))*4))**2 + -3.\nAnswer: -117\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let t be ((-3)\/4*2)\/(2\/(-4)). Suppose -j + 22 = 3*b, 4*j + t*b - 2*b = 44. Suppose 5*g + j = 95. List the prime factors of g.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 219829 to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 12\/(-28) - (-157)\/7. Let g be 50\/20*(-44)\/(-5). Calculate the greatest common divisor of g and n.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -3855718.331 to the nearest ten thousand.\nAnswer: -3860000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(2448)*-2 + 4)**2 + (-3*sqrt(1088)*1 - sqrt(1088))**2)*2.\nAnswer: -384*sqrt(17) + 54432","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-814)\/(-18) + 14\/(-63). Suppose -6*k + 9*k - y = 0. What are the prime factors of k?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*z - 2*y - 19 = 0, z = 2*y + 2*y + 13. Suppose -2*n = -z*x + 14, x - 5*x + 13 = -n. Suppose x*p + 11 = 35. Is 7 not equal to p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 27*u - 40*u + 26. Let z(s) = -14*s + s + 3*s - u*s + 8*s. Let q(b) = 2*b**2 - 4*b**2 + 0*b**2. What is z(q(x))?\nAnswer: 8*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 16599 and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let o(b) = b**2 - 6*b + 19. Let s be ((-102)\/85)\/((-2)\/10). Calculate the remainder when o(s) is divided by (4 - -1)\/(5\/10).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (z**(-30\/13))**(1\/62)*(z*z\/z**(10\/11)*z)**36 assuming z is positive.\nAnswer: z**(333519\/4433)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 0.2 + 0.9. Let n = 0 + q. Let u = -6.1 + n. What is the nearest to 0.2 in -2, -1, u?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 16942910 divided by 3388582\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -3 + 5. Suppose -3*t - 3 = 0, 0*w + 4*t = a*w - 104. Let y = -3 - -13. What is the highest common divisor of y and w?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: -194a (base 12) to base 9\nAnswer: -4204","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a(f) = -f + 1. Let q(g) = -6*g + 2. Suppose 2*m - 4 = -0*m. Let k(w) = m*q(w) - 10*a(w). Calculate k(-4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1.4 - -0.13015.\nAnswer: -1.26985","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 135*x**4 + 14380*x**3 + 161185*x**2 + 219320*x + 72380 = 0.\nAnswer: -94, -11, -1, -14\/27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let g(c) = -c**3 - 8*c**2 + c - 4. Let z be g(-8). Let w = 9 + z. Let i be (-444)\/165 - (-4)\/44. Is w bigger than i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*l = -2*b + 35, 842*l - 840*l + 55 = -5*b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*u**5\/5 - 652*u**4\/5 - 38922*u**3\/5 + 498436*u**2\/5 - 100816*u - 3302784\/5 = 0. What is u?\nAnswer: -61, -2, 4, 9, 376","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Put -222, 15, -88, 4 in descending order.\nAnswer: 15, 4, -88, -222","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*q - 2*w - 186, 3*q + 26 = 4*w + 304. Is q a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 76485, 76497, 76509, 76521, 76533?\nAnswer: 76545","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 14 + -8. Let m be (18\/7)\/(27\/630). Suppose 2*a + m = 4*r, -6*a = -3*r - 3*a + 42. Solve -r = 2*z - s*z for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(s) = 2*s**2 - s - 1. Let j be 0 - 3 - (11 - 16). Let o be (4 + j)\/2 + 33\/(-11). Let c be ((-20)\/30)\/((-4)\/18) - o. Determine q(c).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -26082 divided by 189\nAnswer: -138","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Round 4.921972 to 2 dps.\nAnswer: 4.92","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -44.35 + 42.3704. Let j = -4 - -6. Let b = i + j. What is b rounded to three dps?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 398\/11 - 350\/11. Let d = 2\/25755629 + 8941349919197\/927202644. Let f = 9645 - d. What is the common denominator of g and f?\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange z**3 + 2*z**2 - 206377*z - 2 - 3*z**2 + 206362*z to the form i*z**2 + g*z**3 + f + l*z and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Expand 4*y**2 + 7*y**2 - 2*y**5 - 27*y**4 - 10*y**2 + (7*y + 5*y + 2*y)*(-3*y**2 + 2*y**4 + 3*y**2).\nAnswer: 26*y**5 - 27*y**4 + y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (42\/490)\/((2*-1)\/(120\/(-12))).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -50, -87, -166, -299, -498, -775, -1142, -1611?\n\"Answer: -2*m**3 - 9*m**2 + 4*m - 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*c - 459 + 405 = 0. Sort c, -33, -4 in decreasing order.\nAnswer: c, -4, -33","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-2)\/(62\/(-58) + 1). Suppose a = 5*p + 134. Let h = -10 - p. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 14*s - 1502 - 556 = 0. Is s a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(v) = -41 + v - 40 + 80. Let x be p(6). Suppose x*n = -f - 2*f + 242, -20 = -5*n. List the prime factors of f.\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 88 and 8?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 z when three letters picked without replacement from zwzwzwzzzzzzzzzwzzzw?\nAnswer: 91\/228","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -100088, -100057, -100024, -99989, -99952, -99913, -99872?\nAnswer: -99829","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*z + 11*z = 155 + 40. Solve 3*p + 2*p = z, 5*r = 4*p + 13 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(i) be the second derivative of -i**3\/2 - i**2\/2 + 57*i. Suppose 12 = -4*h + 2*g, -h - 3*h - 12 = -3*g. Calculate x(h).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 205*j - 423*j - 465 + 628*j wrt j.\nAnswer: 410","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 + 3*c**2 - 2)*(4*c - c - 4*c) + 0*c**3 - 2*c**3 + 1 + 0.\nAnswer: -5*c**3 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 166828532?\nAnswer: 2, 13, 29, 110629","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let l(t) = 9*t**2 + 4*t + 3. Let i(c) = 27*c**2 + 13*c + 10. Let g(u) = 2*i(u) - 7*l(u). What is g(-1)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 39747 less than 25355?\nAnswer: -14392","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from qqqppqq. What is prob of sequence pqqq?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 184022 is divided by 184020?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let a(y) = y**2 - 12*y + 9. Let m be a(10). Let p = m - -37. Suppose -p = -2*f + f. What are the prime factors of f?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(g) = -9*g**2 - 3*g + 12. Let v be f(8). Let s = -1744\/3 - v. Find y, given that s*y**2 + 8\/3*y**3 + 10\/3*y**5 - 6*y - 8*y**4 + 4\/3 = 0.\nAnswer: -1, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 770.7507l?\nAnswer: 770750.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 18 + -14 + 0 + 0.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-118)\/(-9)*279\/(-30) - 129\/526320*272.\nAnswer: -122","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -p + 3*m - 18, 11152*m - 11151*m - 48 = 5*p for p.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*q = -3*j - 12, 2*q = -2*j - 2*q + 4. Let x(d) = d**2 + 4*d - 5. Let y be x(-5). Let z(n) = 1 + y + 4*n + 2. Calculate z(j).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(u) = u**3 - u**2 - 2*u + 2. Let z(j) = 4*j + 22. Let w be z(-5). Let v be s(w). Suppose 3*m = -2*q + 7829, -5*m = -v*m + q - 7828. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(m) = -m - 2. Calculate l(3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 189\/(-42)*(-2)\/3.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 2.87 - 2.97. What is the second biggest value in -2\/3, -13, c, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3*6*((sqrt(294)\/sqrt(6) + sqrt(49))\/sqrt(7) - 2*sqrt(14)\/sqrt(2)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*a + 6*a. Suppose 5*u - 10 - 10 = a, -u - 196 = -2*y. Round y to the nearest 10.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 x and 1 i when two letters picked without replacement from xxxiihxihx.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 18.97 + -3.85. Let j = q - -0.48. Let i = j + -15.59907. Round i to four dps.\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 237 divided by 79?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: -30156705 divided by -74461\nAnswer: 405","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 1066 - 994. What is the least common multiple of z and 22?\nAnswer: 792","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 14 - 13.7. Sort -8, 2, o in ascending order.\nAnswer: -8, o, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 27468135 is divided by 2278?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: (-2615 - -2620) + (5 + 29 - (1 - 2))\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 724005720?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {f: 3, k: 7, v: 6, p: 1}. What is prob of sequence kk?\nAnswer: 21\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*r - 2*x = 10, -x + 9 - 1 = 4*r. Let l(u) = 2*u + r*u - 2*u. Let i(h) be the first derivative of 4*h**3 - 16. Give i(l(y)).\nAnswer: 48*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve -k = -4*z - 15 - 6, 0 = -z - 5 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 1367, 2726, 4085, 5444?\nAnswer: 6803","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -1532, -1745, -2364, -3593, -5636?\nAnswer: -8697","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Convert 567.522 minutes to microseconds.\nAnswer: 34051320000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9 = 3*s, -4*v - 3*s = -24 + 9. Let m(w) = -w**2 + 5*w - 1. Let t be m(v). Which is bigger: t or -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.540472ml to litres.\nAnswer: 0.000540472","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 618 minutes before 2:27 AM?\nAnswer: 4:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Product of 1468 and 1.\nAnswer: 1468","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -0.06674 and 0.23.\nAnswer: -0.0153502","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 46\/14 + 7\/21. Let g = x + -389\/14. Find the common denominator of (2\/(-8))\/((-2)\/(-156)) and g.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {g: 4, n: 2, y: 2}. What is prob of sequence ynny?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1?  (a) -0.1  (b) -0.07  (c) 3  (d) -438  (e) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 263998547 to the power of 1\/10, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.1396084181 rounded to 4 dps?\nAnswer: -0.1396","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 134 and 3715954.\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 0.03 + -6.03. Let q be -1 - (-6)\/(-7) - -2. Let z = 107904 + -107909. Sort q, z, h in decreasing order.\nAnswer: q, z, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 - 1 + 4)*(-2*i**5 + 5*i**5 - 2*i**5 + (5*i + 2*i**3 - 5*i)*(1 - 1 - i**2) - 3*i**5 + i**5 + i**5) + (0 + 0 - 3*i**2)*(i**3 + 0*i**3 + i**3).\nAnswer: -18*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 1222 + -1246 - (-27 + 0) - 38?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -9 + 37. Calculate the remainder when 249 is divided by k.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in 3\/40 of a day?\nAnswer: 108","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*i - 50 = -b - 57, 3*i - 5*b - 21 = 0 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Put -132, -339, 273, -1 in decreasing order.\nAnswer: 273, -1, -132, -339","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -d8 - -e50?\nAnswer: d78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -144 - -188. Is (-3)\/7*(-77)\/h*5228 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(u) = -6*u + 2. Let m(r) = -25*r + 7. Let n(g) = m(g) - 4*v(g). Let z(o) = 3*o - 10. What is -18*n(d) + 2*z(d)?\nAnswer: 24*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -10431, -12896, -17005, -22758, -30155?\n\"Answer: -822*z**2 + z - 9610","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 2853 and 51716331.\nAnswer: 2853","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let z(u) = -u**2 - 7*u - 4. Let j be z(-6). Suppose -4*s + 2 + 0 = -5*d, j*s - 5*d - 6 = 0. Is 14 a factor of (19\/s)\/(6\/(-12))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 23 + -26. Let w = b - -5. Determine y, given that 5*y**w - 3*y**2 + 3 - 5*y**2 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 316470852 and 3393?\nAnswer: 261","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -1a2 + 4?\nAnswer: -19c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -3018, -23892, -58682, -107388, -170010?\n\"Answer: -6958*y**2 + 3940","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 10 a factor of 270?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -487 - -2769. What is the common denominator of (6\/9)\/((-9)\/(8505\/h)) and -7\/9?\nAnswer: 1467","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 5696 + 5687. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -1\/27027 + -106159\/52675623. Are t and -1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 2291061 to the nearest integer?\nAnswer: 132","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-3)\/48)\/(243\/108)?\nAnswer: -1\/36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from oyyyzzyyqzyzqyyqyooq. What is prob of sequence zyqo?\nAnswer: 6\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 139*f = -449*f - 10473 - 4227 for f.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -4 and 11297?\nAnswer: -45188","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let o(t) be the third derivative of -13*t**4\/8 + 545*t**2. What is o(-1)?\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (w**(-1\/2)*w)**(8\/5)*w**(-4)\/(w\/w**(-6))*(w**(-1)*w)\/w*w**(-1\/2)*w*w*(w\/(w*w\/w**(2\/7))*w)**(-1\/11) assuming w is positive.\nAnswer: w**(-7489\/770)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00010842 rounded to 5 decimal places?\nAnswer: -0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 2\/10*1190\/238.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 159, 1357, 4565, 10773, 20971, 36149?\nAnswer: 57297","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -16.18 - -0.18. Let m = s - -15.5. Let t = 0.05 + -0.13. Which is the third biggest value?  (a) t  (b) -1\/7  (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4\/(-3) - (1*-13 + (-720)\/(-270)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 43 is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: -150.5 times 2\nAnswer: -301","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {a: 5, y: 1, w: 6, l: 1, z: 3, c: 4}. Give prob of sequence wwl.\nAnswer: 1\/228","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -22105 - -9895. What is s rounded to the nearest one thousand?\nAnswer: -12000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -4 - 34ed536?\nAnswer: -34ed53a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (c**(-2)*c\/(((c\/c**(3\/7))\/c)\/c*c))**14 assuming c is positive.\nAnswer: c**(-8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 17\/4 of a litre in millilitres?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 15719 is divided by 7855.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -28, -55, -94, -139, -184, -223, -250?\nAnswer: -259","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -29*n + 28*n - 4*j + 6506 = 0, n - 3*j - 6541 = 0. Is n a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -29 - -34. Let p be (-24)\/5*(15 - v). What is the remainder when (1 + -44)\/(16\/p) is divided by 26?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 766, 807, 910, 1105, 1422, 1891, 2542, 3405?\nAnswer: 4510","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 637096501 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 12\/49, 2, 10\/7, -0.2?\nAnswer: 12\/49","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 421242 and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 756 divided by -18?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: -1*0\/((-16)\/4)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(14)\/(sqrt(63)\/sqrt(9)))**2 + -2 + sqrt(162).\nAnswer: 9*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*z + 4*x + 500 = 0, -4*x - 205 - 43 = -z. Suppose -u = -4*l + z, 296 = -2*u + 2*l - 178. Let k = u - -1271. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -1857993 - -3068993. What is b rounded to the nearest ten thousand?\nAnswer: 1210000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -1\/6  (b) 84  (c) 0  (d) -0.3  (e) -7\/37  (f) 0.09\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -0.43 - -0.23. What is the closest to 20 in 5, -0.3, p?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 7993 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1243599431?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 1000000010110110 + 100?\nAnswer: 1000000010111010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (2 + -2)*2\/(-6). Let i(d) = d + 69. Is 23 a factor of i(m)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:07 PM and 5:24 PM?\nAnswer: 317","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -k = -2 - 2. Suppose 3*d + k*j - 4 = -d, -3*d + j + 3 = 0. Let t be d\/6*(1 - 11). Sort -1, -0.5, t.\nAnswer: t, -1, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*s + r + 124, -3*s - 2*r - 72 = r. Let j(x) = -24*x**2 - 10*x + 9. Let g be j(1). Is g greater than s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-103 - -1)*3\/(-9). Let q be (6\/(-2))\/((-6)\/h). Suppose -5 = -4*v - q, -5*z = v - 72. What is the tens digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 1 - 64*l**2 + 29*l**2 + 19*l**2 to the form a*l + x + c*l**2 and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -149\/36 and 83\/3612?\nAnswer: 10836","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -129, -115, -41, 135, 455, 961, 1695, 2699?\n\"Answer: 7*y**3 - 12*y**2 + y - 125","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, 113, 4, 7, -2 in ascending order.\nAnswer: -2, 3, 4, 7, 113","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 143*d - 4*o - 20 = 146*d, 3*d + 3*o = -15. Let t = 5 - 2. Suppose -6*b + 9 = -t*b. Solve -n + b = -2*a, 4*a = -4 - d for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-24)\/(-4))\/(-12)*(-2)\/(-1).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 6, 2510\/59, 2\/23, -1?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1628*q - 350*q + 3312*q.\nAnswer: 4590*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 49481 is divided by 24740.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 12772246 and 1293392?\nAnswer: 102177968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence qbq when three letters picked without replacement from bbbbqbq.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let l(s) = 8*s**2 - 14*s + 16. Let k be l(9). Suppose -1086 = -8*r + k. Suppose -2*m - 5*m = -r. Is m a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -79581 + 285568. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from gsxsssngosgss. Give prob of picking 1 x and 3 g.\nAnswer: 1\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.1?  (a) 14  (b) -4.5243  (c) -0.2  (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in fifty-five halves of a litre?\nAnswer: 27500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 44 a factor of 486992?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2\/7 in 2\/9, 304, 2.5?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -3205 + 155310?\nAnswer: 152101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 1158483518*l**2 + l + 692291707 wrt l.\nAnswer: 2316967036*l + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let l(c) = c + 1. Let x(u) = u**2 - 6*u + 10. Let m(q) = -4*l(q) + x(q). What is m(10)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 44629?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 4\/3 of a week in minutes?\nAnswer: 13440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 656642, 1313280, 1969918?\n\"Answer: 656638*j + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -22*j + 18*j + 3*h - 826, h = 2. Let r = j + 231. Suppose 2*k - 2 = 570. What is the highest common divisor of r and k?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 127337 + 2?\nAnswer: 127339","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 15*h = 28*h + 8242. Let m = h - -637. Solve -20 = -4*d - m*v, 3*d - v + 0 = 2 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -8 in -4, -5, 1\/8?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let g be -3*((-55)\/15 + 1). Let b be (2\/4)\/(2\/g). Factor 0*u + 0 + 4\/9*u**3 - 2\/3*u**4 + 2\/9*u**b.\nAnswer: -2*u**2*(u - 1)*(3*u + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -20*w = -68 - 32. Let p(z) = -z**3 - 4*z**2 - 2*z + 3. Let b be p(-3). Let o = 4 + b. Sort o, 0, w in decreasing order.\nAnswer: w, o, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose n = -2*c - 10, -2*n - n - 3*c - 18 = 0. Let g = n - -1. Let r be g + 3 + (-7)\/4. Are r and -1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -21 - -23. Let f be 128\/22 + y\/11. What are the prime factors of (-1513)\/(-34) - f\/(-4)?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 5114261627 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let b(o) = o**3 + 10*o**2 - 2*o - 18. Let a be b(-10). Find the third derivative of -14*h**2 - 60*h**3 + 41*h**2 + 30*h**a wrt h.\nAnswer: -360","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 667 minutes after 3:28 PM?\nAnswer: 2:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 169*v - 39*v + 156*v.\nAnswer: 286*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let j(u) be the second derivative of -3*u + u**3 + 0 + 13\/2*u**2. What are the prime factors of j(7)?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -f + 3cf?\nAnswer: 3c0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 y and 3 c when four letters picked without replacement from {q: 2, c: 4, i: 1, y: 1}.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of -42201, -84483, -126767, -169053, -211341?\n\"Answer: -t**2 - 42279*t + 79","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 34393546 and 674?\nAnswer: 674","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: 1*(-4)\/(80\/4)*-5\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -19006189588 plus 1543?\nAnswer: -19006188045","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = k + 3*j - 27, 16 = 3*k + j - 57. Suppose 0 = 40*b - k*b - 30880. List the prime factors of b.\nAnswer: 2, 5, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*i = 968 - 943 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 188 + -62. Let w be p\/4*22320\/(-84). Round w to the nearest 1000.\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-v + 4*v - v)*(1 + 48009*v + 6440*v - 3412*v + 65026*v - 1).\nAnswer: 232126*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -890 - 1142 - z + 14*z.\nAnswer: 13*z - 2032","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 5  (b) 1\/4  (c) -2  (d) -6\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Convert b (base 16) to base 5.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 828*b + 14478 = 3321 - 26931 for b.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {z: 14, c: 4}. What is prob of picking 2 z?\nAnswer: 91\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let x(l) = 4*l - 3. Let q(c) = 31*c - 17. Let r(y) = -q(y) + 6*x(y). Let t(m) = 6*m + 2. Determine -3*r(o) - 2*t(o).\nAnswer: 9*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -160 = 12*u - 17*u. Let x = -33 + u. Let z be (x + 0)\/(20\/(-80)). Solve z*i + 20 = 9*i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*r = -3*c + 9, -2*c - 3*r + 55 = -c + 56 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 51484?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*m = -2*s + 354, -5*m + 3*s = 6*s + 590. Let y = m + 122. Sort y, -3, -5, 2 in increasing order.\nAnswer: -5, -3, 2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*d + 47 = 4*z, 0 = z + 4*d + 6 - 32. What is the second derivative of -5*x - z*x - 8*x - 2*x**5 - 26*x - 28*x**4 wrt x?\nAnswer: -40*x**3 - 336*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -11*v**4 + 13*v**4 - 12*v**4 - 2*v**4 - v + v + (3*v**2 + v**3 - 3*v**2)*(-v - 2 + 2) + 3 + v**4 - 4 + 0.\nAnswer: -12*v**4 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: 107665 divided by 37\nAnswer: 107665\/37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*f - 27 = -827. Let o = f - 198. Let r = 2 + -1. Solve -o*g = r + 9 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (1\/(-4) + 9\/(-36))*2. Let o be 0\/(0\/(-12) + r\/1). Solve -1 = 3*y - 5*x, 5*y - 17 = -o*x - x for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(s) = 3*s - 18. Let f be u(4). Let g = f + 21. Is 1\/2 less than g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*l - 2*n - 11 = 0, -3*l + 4*n - 17 = -0*n for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.07292938 to 3 decimal places.\nAnswer: 0.073","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 409664520 to the power of 1\/9, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is -10 plus -31375?\nAnswer: -31385","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 7743?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let x(i) = 5059956*i**2. Let p(h) = -17*h**2. Calculate x(p(a)).\nAnswer: 1462327284*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 1464 a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4*sqrt(513))\/(sqrt(300)*-1).\nAnswer: 6*sqrt(19)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -48333 + 11213273\/232. Let t = x + 3\/58. Suppose p - 13 = 2*j, j = -p + 2*p - 9. What is the third smallest value in t, -0.5, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(i) = -i**2 - 24*i - 23. Let d be z(-23). Suppose d = -11*a + 10*a + 5. Solve 0 = 2*b + a - 3 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(v) = 16*v**2 + 69*v - 4. Let l(n) = -19*n**2 - 67*n + 5. What is 5*l(w) + 6*u(w)?\nAnswer: w**2 + 79*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {e: 1, r: 2, j: 1, a: 1, t: 2, v: 1}. Give prob of sequence tajr.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let u(v) = 263*v**2 - 10*v - 8. Let c(g) = -790*g**2 + 28*g + 23. Give 6*c(i) + 17*u(i).\nAnswer: -269*i**2 - 2*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from nnnnnnnqqn. What is prob of picking 2 q and 1 n?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Expand -6*y**5 + 0*y**5 + y**5 + 0*y**3 + 0*y**3 + 5*y**5 + 3*y**5 + 0*y**5 - y**5 + (0*y**5 + 0*y**5 + y**5)*(-6 + 4 + 1).\nAnswer: y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.2?  (a) 200\/3  (b) 16  (c) 2.77\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -2.8?  (a) -4  (b) -49\/131  (c) 0  (d) -2\/9  (e) 9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*p = 3*l + 3, -2*p - 5*l - 5 = -4*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 48\/319 and 69\/88.\nAnswer: 2552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 174 and 16269?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let p(k) = k**2 - 15*k + 36. Let b be p(12). Suppose b = -13*r + 29*r - 48. Solve -j - 3 = 0, 0*y + 4*y - r*j + 7 = 0 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 257814563 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-6)\/(-33) + 872\/44. Let b = 568 + c. Let n be (-2)\/(-10) + b\/60. Solve -2*y = -4*y + n for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(c) = 163375*c**2 - 17*c. Let g(f) = 5*f. What is r(g(y))?\nAnswer: 4084375*y**2 - 85*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0012827 rounded to 4 dps?\nAnswer: 0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -189.821 - 0.179. Let j = -189.7 - z. What is the closest to -0.1 in -1, 2\/7, j?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 484677, 969328, 1453975, 1938618, 2423257, 2907892?\nAnswer: 3392523","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Convert -44064c (base 13) to base 11.\nAnswer: -9a3525","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 157*k - 157*k - 65*k**3.\nAnswer: -65*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0*x + 9 = x + 2*g, 0 = 5*x + g for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2*sqrt(175)\/sqrt(5))\/sqrt(5).\nAnswer: 2*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.022, -0.5, -1\/6 in decreasing order.\nAnswer: -0.022, -1\/6, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: 5\/(-110)*12 + -56*22\/4840\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Product of 0.01 and -68.\nAnswer: -0.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let z(x) = -6*x - 1. Let k(y) = y. What is -5*k(u) + z(u)?\nAnswer: -11*u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Add together -3586005 and -0.2274132.\nAnswer: -3586005.2274132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 4 and 170?\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 759 + -758. Which is the nearest to -2\/7?  (a) 1.7  (b) -1  (c) p  (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*k + 20 = 2*s, -6 = -3*k - 2*s + 24. Suppose 3 = 3*w, 2*f + 5*w = 3*f + k. Let u = 3 - 4. Put 5, f, u in descending order.\nAnswer: 5, u, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 116 + -67. Let w = -35 + h. Calculate the highest common factor of 2 and w.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 631973 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let x(d) = d. Let c(m) = -m - 909537. Calculate x(c(k)).\nAnswer: -k - 909537","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*a**2 - 957084*a + 3828304.\nAnswer: 2*(a - 478538)*(a - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 780786, 780785, 780784?\n\"Answer: -q + 780787","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -2040000 rounded to the nearest 1000000?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2 (base 13) to base 9.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -496, -907, -1318, -1729, -2140, -2551?\n\"Answer: -411*r - 85","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Put -3, -47, 19, -4, 6 in decreasing order.\nAnswer: 19, 6, -3, -4, -47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: (-51 - (103 - 18)) + 34\nAnswer: -102","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b(v) = 2*v**3 + 9*v**2 + 8*v - 7. Is b(7) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 2114, 8633, 19568, 34919, 54686, 78869, 107468?\n\"Answer: 2208*n**2 - 105*n + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p(w) = -13*w + 20. Suppose -224*b + 251*b = 162. Determine p(b).\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 11 + 7. Suppose -2*b = -o - 16. Solve -6 = 3*h - 3*w, 3 = h + 5*w + b for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*w - 129 - 60 = 0. List the prime factors of w.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -d + 15 = 5*p, -5*d = -p + 5*p + 9. Let s = -61 - -1257. Suppose t + s = 5*w - t, -p*w - t + 962 = 0. Does 15 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*j + 0*j = -69. List the prime factors of j.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ppypd. What is prob of picking 1 y and 2 p?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let y be ((-24)\/(-66))\/((-20)\/(-130)). Factor -2*x**2 + y*x - 4\/11.\nAnswer: -2*(x - 1)*(11*x - 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 8255.\nAnswer: 5, 13, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Add together -75771 and 434076.\nAnswer: 358305","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let i(x) be the first derivative of x**3\/3 + 15*x**2\/2 + 14*x - 169. Factor i(c).\nAnswer: (c + 1)*(c + 14)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -250 or -263?\nAnswer: -250","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: 0.1465*178083\nAnswer: 26089.1595","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 1970, 3953, 5950, 7967, 10010?\n\"Answer: r**3 + r**2 + 1973*r - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*a = -5*x - a + 25, -2*a = -3*x + 10. Let y = x - -5. Suppose -h + 13 = -0*h - 2*d, 3*d = -2*h - y. Solve 0 = 3*f + 2*g + 10, -f + 3*g - h = 4 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 72 and 104?\nAnswer: 936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve 66 = 20*w - 86*w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 94 a factor of 2831162171?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 19 - 9. Let i = k + -10.16. Let u = -0.1600136 - i. What is u rounded to 6 dps?\nAnswer: -0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {g: 11, a: 3, s: 4, w: 1}. Give prob of sequence wg.\nAnswer: 11\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 164\/30563 + 4355864731\/855764. Let o = q - 5091. Calculate the common denominator of o and 237\/60 + 4\/(-16).\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (16 - (7 + -3 + 5)) + 1?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*t - 2 = 4*f, -84*f = -4*t - 82*f + 4 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1782, -336, -2, 3 in ascending order.\nAnswer: -336, -2, 3, 1782","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: -4f2a (base 16) to base 9\nAnswer: -30717","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((2*(-2*sqrt(1125) + sqrt(1125)))\/(sqrt(81) - (-1*sqrt(81) - sqrt(81))*-1))**2.\nAnswer: 500\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let o(b) = 3*b**2 - 1063*b - 254346. Give o(518).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {t: 1, f: 1, z: 3, l: 1, d: 2, h: 3}. Give prob of picking 1 f and 2 d.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Express (-2 + 2 - w + (1 - 8 + 3)*(-14 - 26 - 30)*(-3*w + w + 3*w))*(7 - 1 - 2) as n*w + c and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 406\/(-56) - 87\/116.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Round 153.601 to one dp.\nAnswer: 153.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 1440 and 15684.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-1*sqrt(77)*-1 - sqrt(77))\/(1*sqrt(175)) - -1*sqrt(33)\/(3*sqrt(3))*4)**2.\nAnswer: 176\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 81337 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-8)\/6*115\/(-460)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 11110111 - 100101011000000101?\nAnswer: -100101010100001110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -76 + 223\/3. Which is the third biggest value?  (a) 3  (b) -9  (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(600)*-1 + sqrt(600))\/(-2*sqrt(108)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let c(i) = 2*i**2. Let b be (-46)\/(-115) - 238\/(-5). Let d(y) = 92*y - b*y - 45*y**2 - 44*y. What is d(c(v))?\nAnswer: -180*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 106 + 161 - 175*d + 30 - 3 with respect to d.\nAnswer: -175","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 4676 and 4642099.\nAnswer: 18568396","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let a(h) = 13*h**2 + 17*h + 57. Give a(4).\nAnswer: 333","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (15*k - 27*k - 2 + 3)*(22*k**3 + 5*k**3 - 16*k**3).\nAnswer: -132*k**4 + 11*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (23 - 20) + 6\/3*(-4)\/4.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-3)\/(-2)*((-2)\/3 + 2). Solve k*z = 5*z + 9 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -730.9 rounded to the nearest 100?\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 12228692.76 rounded to the nearest 10000?\nAnswer: 12230000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 9.22128 and 0.81?\nAnswer: 8.41128","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1049869 - 2*b + 0*b - 349956 - 349953 - 349960.\nAnswer: -2*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 3513 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*l + 230*f - 235*f = 398, -4*l + f = -525. Solve -123*a = -l*a - 16 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (3374\/(-48) - 0\/1) + (-33)\/99. Do o and -1 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0.083*0.073\nAnswer: 0.006059","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*n + 180 = n. Let b = n + -30. Let o be ((-2)\/4)\/((-3)\/18). Solve -o*z = -v - 3, -4*z + 5 = -b*z - v for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 110404469 to the nearest integer?\nAnswer: 10507","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Divide -1904 by -1904.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 + 3 + 3)*(18*g**5 + 10*g**5 - 12*g**5).\nAnswer: 64*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 772258316, 772258311, 772258304, 772258295, 772258284, 772258271, 772258256?\n\"Answer: -i**2 - 2*i + 772258319","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -111*j + 91*j = -8040. Calculate the least common multiple of 24 and j.\nAnswer: 1608","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 508 and 21209.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let g(r) = 101*r**2 - 102*r**2 + 1 + r + r. What is g(3)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -0.5544 + 212.3544. Round w to the nearest integer.\nAnswer: 212","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3.2 less than -20.1042689517?\nAnswer: -23.3042689517","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 21273*r**3 - 22*r**2 + 23*r + 3 wrt r?\nAnswer: 127638","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3*sqrt(65)*2)\/(-1*sqrt(320)).\nAnswer: -3*sqrt(13)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 6\/((25\/(1575\/(-1071)))\/(3\/(-12)*2))?\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z(n) = -2*n + 1. Let y be z(-2). Let a be (1 - -2)\/((6 - 0)\/6). Suppose 4*c - 5*c + 17 = -y*u, -5*u = c + a. What is the smallest value in 2, c, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 905 (base 10) in base 5?\nAnswer: 12110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*g + 461216 - 461231 = -5*a, -5*g + 15 = -5*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify w**(-4\/19)\/(w*w\/(w*w*(w*w**(15\/8))\/w*w)) assuming w is positive.\nAnswer: w**(405\/152)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence fkww when four letters picked without replacement from fwkfffwfwwkffk?\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 109910844 a multiple of 108?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:32 AM and 1:39 PM?\nAnswer: 367","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 59115 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 551, 1054, 1557, 2060, 2563, 3066?\nAnswer: 3569","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r(j) = j + 1. Let m(h) = -8*h + 4. Give m(s) - 2*r(s).\nAnswer: -10*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -43, -49, -75, -133, -235?\n\"Answer: -2*l**3 + 2*l**2 + 2*l - 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Put -2, -3\/4, 3\/47, 5, 2 in descending order.\nAnswer: 5, 2, 3\/47, -3\/4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve -51 = 14*g - 23 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let 71*y**5\/4 + 4581*y**4\/2 + 15013*y**3\/4 - 216099*y**2\/2 - 4572*y = 0. Calculate y.\nAnswer: -127, -8, -3\/71, 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 60 - 159 + 228*z + 42 + 61 + 76*z.\nAnswer: 304*z + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 479161170?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let s(k) = k**2 + 2*k - 1. Let c(x) = -3*x**3 + 2*x**2 - 6*x + 3. Determine c(d) + 3*s(d).\nAnswer: -3*d**3 + 5*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let c(k) = -6*k. Give c(-1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -30*s = -28*s - 2 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -57 - -73. What is the second derivative of j*g + g + 274*g**5 - 287*g**5 wrt g?\nAnswer: -260*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(x) = -x**3 - 5*x**2 + 26*x + 10. Let r = -5130 + 5122. Calculate g(r).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence dded when four letters picked without replacement from emfefdefmeedcefedd.\nAnswer: 7\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(152) + -1*sqrt(152))*2 - sqrt(152) - sqrt(152))\/(sqrt(800) - 2*sqrt(800) - sqrt(8)).\nAnswer: 2*sqrt(19)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 m when two letters picked without replacement from {m: 11, r: 5}.\nAnswer: 11\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is -1 at most 250\/569?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 3 or 1327\/823?\nAnswer: 1327\/823","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of 99, 164, 273, 426, 623, 864, 1149?\n\"Answer: 22*h**2 - h + 78","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -130*b + 123*b. Solve b = 11*u - 4*u + 35 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 0.89 - -0.05. Let u = -10659.1520174 + 10660.092. Let i = g - u. What is i rounded to 5 decimal places?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.2882, 3, 5 in increasing order.\nAnswer: -0.2882, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 734 + 1?\nAnswer: 735","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -3*f**2 + 2*f**3 - 6 - 2 - 4*f - 1 + 15 - 2 to j*f**2 + r + w*f + m*f**3 and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-306)\/7 - (-2)\/(-7). What is the remainder when ((-1727)\/y)\/((-2)\/(2*-4)) is divided by 32?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (13*l - 9*l - 9*l)*(41*l + 2*l + 33*l + (-2*l + 5*l - 4*l)*(-4 + 2 - 1)).\nAnswer: -395*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3 = b - 2*b. Let u = 7 + b. Solve -u*q = -3*t - 0*q + 24, -11 = -5*t - 3*q for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*y + 2*n - 78 = -0*y, 0 = -5*y + n + 143. Let c be 4\/y - (-66)\/(-21). Let g be 3 + 6\/(-21) + c. Is g less than -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 3552, 4844, 6136, 7428?\nAnswer: 8720","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from blzbhzzzzliziibliz. Give prob of sequence hlb.\nAnswer: 1\/544","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((a**(2\/3)\/a*a)\/a*a**(-2\/5))\/(a**(1\/3))**(1\/15))\/(((a*a**(-4))\/(a**3*a*a))\/((a*a**(3\/2))\/(a\/(a**4\/a)))) assuming a is positive.\nAnswer: a**(1057\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let p(b) = b**2 + 13*b - 83. Calculate the remainder when p(-18) is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*j + 0 = -3*p + 1, -3*j = 2*p + 8. Let y = -0.52 + -0.18. Let x = 2.7 + y. Is x less than p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 3494\/5 + -38229\/55. What is the common denominator of -47\/3961 and d?\nAnswer: 43571","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 6.6 + -6.343. Let d = -3.535 + j. What is d rounded to one dp?\nAnswer: -3.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 53 + -82. Let y = u - -85. What is the units digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(z) = -z**3 + z**2 + z + 1. Let m(v) = 5*v**3 - 7*v**2 - 5*v - 7. Let u(x) = -m(x) - 4*t(x). Suppose 3*h - 3 = 2*h. What is u(h)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -227.2 - -138. Let p = w - -89. What is the second smallest value in -0.4, 3, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 5762?\nAnswer: 2, 43, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-12)\/9)\/((-1)\/6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4 less than -27472270?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -411*d + 348534 = -393*d. What is the tens digit of d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -194767 divided by 1907?\nAnswer: -194767\/1907","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 1472 + 8?\nAnswer: 1480","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 33261*j**3*x**3 + 186*j**3*x**2 + 450856*j**2 + 10*j*x**3 wrt j?\nAnswer: 199566*x**3 + 1116*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -112, -228, -342, -454, -564, -672?\n\"Answer: r**2 - 119*r + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s(m) = m**2 + 16*m + 40. Calculate the remainder when 15 is divided by s(-3).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(z) = -z**3 - 33*z**2 - 250*z + 156. What is q(-14)?\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5 = i + 8. Let d be -4 - -3 - i - 17. Let h = d + 22. What is the units digit of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(j) = -2*j - 6. Let n be v(-5). Suppose 3*r = -2*i + 1, -n*i = 4*r - 5*r - 23. Let p(a) = 2*a - 3. Let q(g) = -3*g + 4. Calculate r*q(h) - 4*p(h).\nAnswer: h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from snnssjnnj. What is prob of picking 1 j and 1 n?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*m - 13 = 2. Let d(h) be the first derivative of -h**3\/3 + 3*h**2\/2 - 16. Give d(m).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 101.5722 months in centuries?\nAnswer: 0.0846435","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -r - 10 = -2*y, -5*r + 6 - 16 = 0. Solve -y*v - 4*q - 4 = 0, 10 = 2*v - q - 0 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (6 - 2)\/(52\/65). Solve m + n = -4*m for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 7352066?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let a(r) = r**3 + 7*r**2 + 7*r + 8. Let y be a(-6). Let z = y + 0. List the prime factors of z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in 3\/2, -2, -1\/5165, 0.5, 2\/9, -3\/4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -127\/2504870 and -57\/500974.\nAnswer: 2504870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2*(sqrt(17) - (3*sqrt(68))\/sqrt(4)) - sqrt(119)\/(sqrt(1008)*-2 - sqrt(1008)).\nAnswer: -143*sqrt(17)\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let o(h) = -4*h**3 - 2*h. Suppose 30 = 16*m - 2. Let v(b) = -5*b**3 - b**2 - 3*b - 1. Determine m*v(t) - 3*o(t).\nAnswer: 2*t**3 - 2*t**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 3249?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let m(w) = 0*w**2 + w - 2*w**2 + 3 + 2*w + w**2. Let i be m(3). Solve -3*j + i = -2*j for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(128) + 2*sqrt(128))\/sqrt(8) + sqrt(160)\/(sqrt(40)\/sqrt(4)) + sqrt(16))\/((-2*sqrt(144))\/(-2*sqrt(242))).\nAnswer: 55*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let g(p) = -p**2 + 12*p + 3. Suppose -5 + 7 = -2*c. Calculate the remainder when (-15)\/(-5)*(8 + c) is divided by g(11).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -14.707 - -13.91. Let k = 0.564 + z. What is k rounded to one decimal place?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-59)\/56 - (17 - 12 - 37\/8).\nAnswer: -10\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(o) = o**3 - 26*o**2 + 166*o - 300. Determine h(15).\nAnswer: -285","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is ((-3876147)\/(-87))\/((-1)\/(-5)) + 554\/(-8033) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 39 a factor of 6747?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 - 1 + 8*o**5 - 12*o**5)*(-19 - 54 - 10).\nAnswer: 332*o**5 + 166","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let u(g) = -g**3 - 3*g**2 + 5*g + 3. Let j = -193 - -208. Suppose -24*o + j*o - 45 = 0. Give u(o).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2 + sqrt(2057) + -3)**2*3.\nAnswer: -330*sqrt(17) + 6246","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from teteqoz. What is prob of sequence ote?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 609996 and 24?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {x: 12, k: 5, e: 1}. What is prob of sequence kk?\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let x(h) = -2*h + 11. Calculate x(4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*g - 33 = 57. Suppose 0 = b + r + 4, 6*r = -5*b + 3*r - g. Let p = 8 + b. Are p and 5 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is a + -b?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Round -257180.137 to the nearest 10.\nAnswer: -257180","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is (3\/6*0)\/((-48)\/16)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 328521?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve 34*v**2\/9 + 27062*v\/9 - 15308 = 0.\nAnswer: -801, 86\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let w(k) = 28*k. Let s(d) = 244*d. Let m(p) = -6*s(p) + 52*w(p). Let g(n) = -465*n. What is g(m(x))?\nAnswer: 3720*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let v(f) = -55*f**2 + 1100*f - 6. Calculate v(20).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((c**(-2)\/c)\/(c\/(c**(-10)*c)))\/(c**(-5)\/(c*(((c\/(c*c**(4\/3)))\/c*c)\/c)\/c)) assuming c is positive.\nAnswer: c**(-31\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let a(v) = -v**2 + 6*v + 5. Suppose 5*f - 2*f = 18. Let g be 3*1 + (9 - f). What are the prime factors of a(g)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -17.088 - -17. What is i rounded to 2 decimal places?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 0 by 62710.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 895989043 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is (-27)\/5 + (-7008)\/(-120)?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Put 74\/263, -7261, 0.3 in ascending order.\nAnswer: -7261, 74\/263, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: 3 - (2 + -1 + (3 - 4))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v(q) = -4*q + 32. Determine v(8).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let v(w) = -15*w + 978. Let r be v(67). What is the second smallest value in r, 0, -9?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"}
{"text":"Question: Differentiate -23959*b**2*k**2 + 100*b*k**2 + 2701*k**2 + 231*k + 1 with respect to b.\nAnswer: -47918*b*k**2 + 100*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let r(j) = -j**3 + 46*j**2 + 7*j - 2384. Give r(45).\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 77475\/58 not equal to 1337?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 30 = -3*v + 3*a, 773*a - 81 = 63*v + 771*a for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand -4*j**4 + 2*j**4 + j**4 + (0*j + j - 2*j)*(-3*j**3 + 2*j**3 - j**3) + j**4 - 3*j**2 + 3*j**2 - 5*j**4 - 76*j**2 + 76*j**2.\nAnswer: -3*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 132 and 12797356.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -258 - -258. What is the nearest to -2\/3 in -0.3, -0.12, j?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 10122022110 (base 3) to base 2.\nAnswer: 10001011111110110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.1, -2.9, 2, 1, 0.5 in ascending order.\nAnswer: -2.9, 0.1, 0.5, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 4662 + 4?\nAnswer: 4666","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let w(d) = -d - 27. Suppose 220 = 3*x - 13*x. Let z be w(x). Let s(k) = 3*k**2 + k + 3. What is the tens digit of s(z)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 60923 to the power of 1\/2, to the nearest integer?\nAnswer: 247","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 39 - 0 - (-1026 + 1055).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w(c) = -c**2 - 20*c - 11. Let u be w(-18). Solve 0 = 5*i + u for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 152 and 4392?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -10 and 22.\nAnswer: -220","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth biggest value in 0.5, -4185, -3, 71, 10?\nAnswer: -4185","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -10 + 11. What are the prime factors of -1 + k + -3*720\/(-27)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -763 + 35863\/47. Suppose 102 = 9*w + 111. Which is smaller: s or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 50\/3  (b) 4\/7  (c) 21\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-2 - 6 + 4)*(24*o**2 - 31*o + 31*o)*(3 - 2 + 2) to the form u*o**2 + m*o + k and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 374 - 1?\nAnswer: 373","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {f: 3, d: 7}. Give prob of sequence fffd.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 3116 a multiple of 82?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve 55*c - 45*c = -66*c - 760 for c.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1 in 2, 27, -242977?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -767, -759, -749, -737, -723?\nAnswer: -707","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 211294702 and 52382.\nAnswer: 4762","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 n when three letters picked without replacement from {n: 3, t: 5, w: 3}.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 10706 (base 8) in base 6?\nAnswer: 33022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -272.0123 and 0.5.\nAnswer: -136.00615","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Put 3, -7, -9, 1 in increasing order.\nAnswer: -9, -7, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence xcuc when four letters picked without replacement from {u: 1, c: 2, t: 2, h: 4, x: 1}.\nAnswer: 1\/2520","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 88 + -20. Let p = j + -74.6. Round p to zero dps.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1 (base 9) to base 2.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.43344 rounded to 2 decimal places?\nAnswer: -0.43","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve p = -26*l + 28*l - 12, l - 3 = -p for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -273*l - 69*l + 9576 for l.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -4\/5 in -1, -2, -4, -140?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let o(w) be the second derivative of 1\/12*w**4 + 0*w**5 + 1\/7*w**8 + 0*w**6 + 19\/3*w**3 + 10 + 0*w**7 + 0*w**2 + w. What is the third derivative of o(f) wrt f?\nAnswer: 960*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 4*(2 + (-3)\/6). Suppose g + 151 = -4*c, 3*g - y = c + 48. Is (c\/(-6) + -3)*14 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 6, -2\/7, -32\/29, 2\/9, 7.\nAnswer: -32\/29, -2\/7, 2\/9, 6, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -3 - -12 - (1 - -2).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-76 - 179 - 56)*(0 + 0 - 4)*(3 + 2*g - 3 - 3 + 3 + g + (4 - 4 - 2)*(-2*g + 1 - 1) - 3 + 3 - 2*g).\nAnswer: 6220*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 1.5 - -1.5. What is the nearest to 0 in -3\/5, l, 1\/10?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*s + 6574 = 614. Let g = 2393 + s. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: 11981 - -335468986\nAnswer: 335480967","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let u(t) = 2*t**3 + 8*t**2 - 7*t + 5. Let w be u(-5). Let y = 23 + w. List the prime factors of y.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/4 of a week in hours?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let c(j) = j**2 + 29*j - 129. Calculate the remainder when c(-61) is divided by 15.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 788.0747 milligrams to grams.\nAnswer: 0.7880747","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 9279472*d**2 - 163249*d - 9.\nAnswer: 18558944","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -13*b**5 - 4*b**4 + 164*b**2 wrt b?\nAnswer: -780*b**2 - 96*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 7.85 - 242196.35?\nAnswer: -242188.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 38005 is divided by 80.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 7*(102\/(-14) - -8). Solve -5*r + m - x*m = -25, -25 = -5*r - m for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 36.6?  (a) 4  (b) 0.263  (c) 13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3*h - 3*h - h + 0*h + 2*h.\nAnswer: h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*x = -5*z - 124, z = 2*x - 143 + 19. Suppose -4*w + x = -0*w - 3*s, 3*s = 3*w - 48. Is 3 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(s) = 5*s - 64. Determine x(16).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 584 minutes after 8:10 AM?\nAnswer: 5:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: -0.0858*-792\nAnswer: 67.9536","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Convert -270348 (base 13) to base 6.\nAnswer: -32114040","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 divided by -5602?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 4*1*(-165)\/(-22). Suppose -2*g - m = -110. List the prime factors of g.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: 2\/(-5)*4*10\/64\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.2, -10, -1\/5 in descending order.\nAnswer: 0.2, -1\/5, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*r - 3 = 3*q - 13, 2*r = -8. Suppose -q = 4*a - 7*a. Solve -4*k - a = 2 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(h) = 3*h**2 - 45*h - 36. Let z be x(24). Suppose -7*k + z = -613. Are 174 and k unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of h*x**3 - 2637*h*x - 103*h + 115*x**3 + 1362*x wrt h?\nAnswer: x**3 - 2637*x - 103","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 2822, 2529, 2040, 1355?\nAnswer: 474","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((3 - w - 3)*(2*w + 0 + 0) + 130*w**2 - 2623*w + 2623*w)*(-3 + 2 + 3).\nAnswer: 256*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -27\/1282 and -89\/99996?\nAnswer: 99996","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 3272374?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let z(o) = -o**3 - 3*o**2 - 2*o + 6. What is the tens digit of z(-5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -c - 43 + 6 + 13*c - 7*c to i + y*c and give y.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 285, 2214, 7445, 17628, 34413, 59450?\n\"Answer: 275*y**3 + y**2 + y + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*r + 5 - 15 = i, -i = 9*r - 45 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -120*v - 5704159 = -v - 16012772. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*l = -4*z + 8, -5*z + 10 = l - 0*l. Let u be 2 + z + (-4)\/(-2). Suppose -2 = -s + 5*w, -s = 4*w - 4 + 2. Solve -s*n - 5*o = 15, -n - o = -3 + u for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 e, 1 s, and 2 o when four letters picked without replacement from oeessoeoe.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from iqqiqii. Give prob of picking 1 i and 1 q.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*w + 35 = 3*f, f - 4*w = -3*w. Solve f*j = 3*x + 6, 2*x + 6 = -x - 4*j for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is seven thirds of a year in months?\nAnswer: 28","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (6\/(-2))\/(((-18)\/6)\/(-3)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((x\/(x**1\/x*x*x))\/x)\/(x\/(x*x*x*x\/(x**4*x))))\/((x\/x**(-2\/7))\/(x\/(x*(x*x**5)\/x))) assuming x is positive.\nAnswer: x**(-72\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let g(s) be the first derivative of 150*s**2 + 807. Let j(a) = -a. Give j(g(l)).\nAnswer: -300*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let v(s) = -s**3 + 15*s**2 - 6*s - 12. Let j be v(14). Suppose 0*t - 3*u = -3*t + 225, -4*u = t - j. List the prime factors of t.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(n) = 128628*n - 10. Let l be h(-5). Let m = l - -1583150. What is m rounded to the nearest one hundred thousand?\nAnswer: 900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -1868, -3725, -5572, -7403, -9212?\n\"Answer: r**3 - r**2 - 1861*r - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 134 is divided by 45.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 15248?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 692?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 333*g - 155*g - 181*g.\nAnswer: -3*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 958 - 956 - (-6 - -1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from irjrkiiwsiisr. Give prob of picking 2 i, 1 s, and 1 r.\nAnswer: 12\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: (-1)\/(-4) - (-517)\/188\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (6\/(-15)*10\/8)\/((636\/(-56))\/(-53))?\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 14179 + -14177. Solve 5 = q*x + 3*y, -3*x = -6*x + y - 20 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*t - 16 = -3*s, 12*s - t = 15*s - 13 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 2\/17, 1182, 23\/5?\nAnswer: 23\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -1222, -1208, -1194, -1180?\nAnswer: -1166","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a be ((-8)\/(-4))\/((-2)\/(-3)). Suppose 0 = -0*c - 4*c. Let y = a - c. What is the units digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(u) = -u**3 - 2*u**2 + 10*u - 83. Let p be x(-6). Let z(l) = l**2 - l. Let w(q) = q**2 - 4. What is p*w(y) + 2*z(y)?\nAnswer: 3*y**2 - 2*y - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Put -2, -3, -3033 in descending order.\nAnswer: -2, -3, -3033","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve -29*t = -92 + 34 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 190*s**2 - 191*s**2 - 27*s**2.\nAnswer: -28*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 72 and 42.\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -34 - -44. Suppose a = -p + 5. Let u(q) = -21*q - 11. Is 10 a factor of u(p)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1643972 is divided by 5075.\nAnswer: 4747","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 8381*x**4 + 3*x**3 + 4*x**2 - 17080371*x wrt x?\nAnswer: 100572*x**2 + 18*x + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1 in 4, -113, 16, -32, -3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -1\/4, -5, 0.5, -67\/4, -0.1?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let o(b) = 7*b - 752. Give o(109).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 1.1 - 3.15. Let o = -0.05 - d. Let j = -196 - -196.4. Which is the nearest to -2?  (a) o  (b) 3  (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of ((-2)\/1810)\/(5\/(16675\/(-23))) and 47\/7?\nAnswer: 1267","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-1 - -3 - (-1 - -8)) + 1\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 140 (base 7) to base 3\nAnswer: 2212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 18052?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -53\/236 and -91\/202.\nAnswer: 23836","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -367 in 123, 3, -11, 5?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -849\/4 + 4309\/20. What is the smallest value in 0.1, -2.9, q?\nAnswer: -2.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -54714.016 to the nearest 1000.\nAnswer: -55000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 5575*b**5 + 2*b**4 - 2*b**3 + 20118*b**2?\nAnswer: 334500*b**2 + 48*b - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*u + 5*a - 12 = 0, 2*u - 106*a - 7 = -109*a for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Sort -92925073, -4, -4\/9 in increasing order.\nAnswer: -92925073, -4, -4\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 c, 1 r, and 2 h when four letters picked without replacement from {r: 1, w: 4, h: 5, c: 3}?\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let s(d) = -110*d**2 + 2. Let f(c) = 33220*c**2 - 605. Let u(o) = 2*f(o) + 605*s(o). Let j(p) be the first derivative of p**3 + 74249. Give j(u(a)).\nAnswer: 36300*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 870?\nAnswer: 2, 3, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-3 - 2) + (-58)\/(-20) + 2?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(r) be the first derivative of 7*r**2 - 5*r + 1. Suppose -25 = -149*a + 144*a. Is z(a) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 38.6 - 39. What is the second biggest value in r, -2, 2\/19?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 5850 and 290.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2110, 13, -187, -12, 3.\nAnswer: -187, -12, 3, 13, 2110","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*y + 1059 = 5*s, -2*y = -6*y - 8. What is the units digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(f) be the second derivative of f**5\/10 + f**4\/24 + f**3\/6 + 13*f. Let s(d) be the second derivative of m(d). What is the tens digit of s(7)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2223541 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (f**(-3)\/(f\/f**(-6))*(f\/f**(2\/7))\/f**8)\/((f\/(f**(1\/4)*f)*f**(2\/7))\/(f**5*((f**5\/f)\/f)\/f)) assuming f is positive.\nAnswer: f**(-289\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 625, 583, 541, 499, 457, 415?\nAnswer: 373","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 107104 to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: How many days are there in eleven sevenths of a week?\nAnswer: 11","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f(h) = -h. Let k(p) = -60*p - 36. Let u(o) = 61*o + 29. Let i(x) = 4*k(x) + 5*u(x). Calculate f(i(r)).\nAnswer: -65*r - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 1398 and 3143170?\nAnswer: 9429510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 1234338039 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: What is the fifth smallest value in -13\/4, -1364, -0.14, -2\/7, -0.05?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 28?  (a) -25  (b) -3  (c) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*m = -4*n + 29, 4*m + n - 5*n = -24 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let j be ((-2)\/(-4))\/(3\/120). Suppose -1 = 3*w + 17. Let c = j - w. What is the remainder when c is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 13738 a multiple of 126?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 991005 to the power of 1\/2, to the nearest integer?\nAnswer: 995","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: -12202311 (base 4) to base 5\nAnswer: -1324210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1181*m - 4718*m + 1178*m + 1178*m + 1182*m.\nAnswer: m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Express 2*o**2 + 3*o**2 - 3*o**2 + (2 - 1 - 3)*(0*o**2 + 5*o**2 - o**2) - 87 + 20*o**2 + 87 as b + m*o**2 + f*o and give m.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 7\/49503 and 28\/181428495?\nAnswer: 181428495","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 539073027 to the power of 1\/2, to the nearest integer?\nAnswer: 23218","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 15\/6 - (-328)\/(-112)?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1\/(3*5*2\/150)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5720 = -7*y + y - 5750 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Are 29\/1515909 and 1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -1220*d**2*p**3 - 3232*d**2 wrt p.\nAnswer: -3660*d**2*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 1612.424798078935 and 2?\nAnswer: 1610.424798078935","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 25617, 24772, 23361, 21384, 18841?\n\"Answer: -283*y**2 + 4*y + 25896","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose y = 7 - 8. Let j(b) = -3*b**2 - 11*b + 18. Let x be j(-5). Let m(u) be the first derivative of -u - 1. Let l(c) = c. Give x*m(p) + y*l(p).\nAnswer: -p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let z(q) be the first derivative of q**7\/14 + 23*q**3\/6 + 10*q - 1. Let f(i) be the first derivative of z(i). Find the second derivative of f(w) wrt w.\nAnswer: 60*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(c) = -143*c**4 + 3*c**2 - 3*c - 97. Let t(b) = b**4 + b**2 - b - 2. Let q(v) = -i(v) + 3*t(v). Find the first derivative of q(d) wrt d.\nAnswer: 584*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -21 - -44. Let s = -24.2 + g. Let b = 1.7 + s. What is the third smallest value in -1, 1\/4, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0594196 millennia in years?\nAnswer: 59.4196","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -361393, -719646, -1077889, -1436116, -1794321, -2152498?\nAnswer: -2510641","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort 11, -6, 3, -2 in decreasing order.\nAnswer: 11, 3, -2, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let j(t) = -t**2 + 2*t + 2. Suppose 0 = 4*i - 21 + 5. Let p = -6 + i. What is j(p)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -8944734, -8944735, -8944736, -8944737, -8944738?\nAnswer: -8944739","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 654 and 6?\nAnswer: 654","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 3825 and 63.\nAnswer: 26775","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let m(y) = -53 + 0*y - 54 + 107 + 3*y. Let w(v) be the first derivative of -10*v**3\/3 - 3. Give w(m(f)).\nAnswer: -90*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -37540 divided by -8388.\nAnswer: 9385\/2097","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -81 + 81 + -26 + 21.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (15*2\/(-7))\/(((-61479)\/(-2898))\/(-99)).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4*m + 18 - 18)*(0 - 4 - 6*m + 8*m)*(1 + 2 - 4).\nAnswer: 8*m**2 - 16*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: 76728 divided by -2\nAnswer: -38364","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let s(l) = 3*l**2. Let p(t) = 272249*t. Calculate s(p(u)).\nAnswer: 222358554003*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 78216?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*j = -4*t - 1, 3*j - 8 = -3*t - j. Find the common denominator of 6\/(-14)*693\/(-360) and -5 - (-4 + (t - (-204)\/16)).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -53 - -61. Suppose 2*z - z = p. Suppose -m + z = -f - 3*f, -m + 5*f + 8 = 0. Calculate the smallest common multiple of 16 and m.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(s) = -s**3 - 11*s**2 - 10*s - 3. What is z(-10)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 43, 62, 79, 94?\nAnswer: 107","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 522450 divided by 4050.\nAnswer: 129","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let h(l) = 2*l**2 - 9*l + 7. Let y be h(1). Solve -7*u + 4*u + 6 = y for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -1820, -1855, -1912, -1991, -2092?\nAnswer: -2215","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*w = -0*w + 3, 5*y - 2*w - 17 = -4 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 25*y**3\/3 - 115*y**2\/3 - 200*y\/3 - 20 = 0 for y.\nAnswer: -1, -2\/5, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4*(sqrt(228)*2*-4*2)\/(sqrt(108) - ((sqrt(108) - (sqrt(108) - 4*sqrt(108)))*-2 - sqrt(108))).\nAnswer: -32*sqrt(19)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 8 - 24. Let f = n + 10. Is -1 greater than f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -11218.7 + 1.73.\nAnswer: -11216.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, 53, 5495 in descending order.\nAnswer: 5495, 53, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 58 + 47 = 3*r. What is the highest common divisor of 7 and r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 484*a - 477*a - 28. Let w be (2 - 3\/3) + -1. Put w, -42, a in decreasing order.\nAnswer: a, w, -42","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -5  (b) -2  (c) 12.2  (d) -2\/15  (e) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -5*t + 4*t - 5 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Divide -29290788 by -6.\nAnswer: 4881798","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 1710 to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let z(g) = -g**2 - 8*g - 3. What is the least common multiple of (3 + 0)*3 - 1 and z(-5)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -1066.989425 to the nearest 10.\nAnswer: -1070","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 22 and 5632?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:11 AM and 1:20 AM?\nAnswer: 69","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -24 = -3*d + 2*j, 13*d + 34 = 14*d - 5*j. Solve -48*n = -50*n + 10, 0 = -5*i + d*n - 35 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 56208 (base 9) in base 11?\nAnswer: 26074","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 34 - 55b?\nAnswer: -527","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let -3*a**4 - 364821*a**3 - 11091744054*a**2 - 33272678460*a - 22181299224 = 0. Calculate a.\nAnswer: -60802, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2407 is divided by 47.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -0.39 - 152.61. Let w = -153.00515 - g. What is w rounded to 3 decimal places?\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(x) be the second derivative of -10*x**3\/3 + 11*x. Let v(i) = -i. Give v(a(g)).\nAnswer: 20*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -14, -29, -40, -47, -50, -49, -44?\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 134378 to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 4091477 to the power of 1\/3, to the nearest integer?\nAnswer: 160","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let p(g) = 13*g + 400. Determine p(-18).\nAnswer: 166","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let c(m) = -19*m. Let g(t) be the third derivative of t**5\/30 + 29*t**2. Determine c(g(r)).\nAnswer: -38*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 10427 + -73?\nAnswer: 10374","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 7810044.\nAnswer: 2, 3, 11, 59167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 431.7 + -452. Let l = q + 25. Let x = 5 - l. What is the biggest value in 2, x, -0.4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -2854 - -525115\/184. Let w = 11471\/552 + m. Calculate the common denominator of (-104)\/6*2\/24 and w.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 200009 to the nearest integer?\nAnswer: 447","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (j**(4\/9)\/j)\/j*j*j\/j**(-1\/38)*j*(j**30\/j)\/j**(2\/11) assuming j is positive.\nAnswer: j**(113947\/3762)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -0.02 - -0.103. Round m to two dps.\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-4264)\/260 + ((-12)\/(-10))\/(-2).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 27*r - 5377 - 3994 + 1784 = 0. What is the remainder when 1080 is divided by r?\nAnswer: 237","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence grv when three letters picked without replacement from {v: 1, r: 2, l: 1, n: 2, g: 1, f: 1}?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: -960 divided by 15\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let j(l) = -l**2 + 60*l - 121. Let y be j(58). Sort -3\/5, y, -0.26, -2\/7, -6.\nAnswer: -6, y, -3\/5, -2\/7, -0.26","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-3150)\/900)\/(-2*2\/(-8)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 554470?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve -8*t = -16, -s - 234*t + 231*t + 12 = 0 for s.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is (1\/(-2)*1)\/((-12217)\/24434)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (11\/4)\/((-10)\/(-40)). Let k(w) = -9*w - 6*w - i*w + 28*w. Let j(q) be the third derivative of -q**5\/30 + 20*q**2. Calculate k(j(r)).\nAnswer: -4*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 252*y**5 - 25*y**4 + 2*y**3 + 76*y**2 - 37*y - 1 wrt y.\nAnswer: 15120*y**2 - 600*y + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-2070)\/(-1170))\/((-48)\/(-208))?\nAnswer: 23\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1 in 3, -0.1, 134, -6.8?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let f(d) = -4*d + 9. Let c(n) = -2*n + 5. Let y(a) = 8*c(a) - 5*f(a). Calculate y(7).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 24871 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let j(a) be the first derivative of -6*a**7\/7 - 11*a**4\/2 + a**3\/3 + 435*a**2\/2 + 359. What is the third derivative of j(z) wrt z?\nAnswer: -720*z**3 - 132","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let u(j) = -j**2 - j - 1. Let y(s) = 648*s**2 + 81*s + 81. Calculate 81*u(o) + y(o).\nAnswer: 567*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -341 + 760 + 681*b - 422 to c*b + x and give x.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (1 + 0)\/((-544)\/80 - -7).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 605*u**3\/4 - 60115*u**2\/4 + 5450*u - 495.\nAnswer: 5*(u - 99)*(11*u - 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -726 - -2689. Suppose -4*d + 34 = -18. Suppose 364 = d*g - b. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2\/5 in 2, 138, -5, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let x(w) = w**2 + 5*w + 4. Let b be x(-6). Find the common denominator of 63\/2 and 3 - (3 + (-69)\/b).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand h**2 - h**2 + 3*h**2 + h - h + 2*h**2 - 2 + 2 + h**2 + (2 - 2 + 2*h)*(2 - 2 + h) + 2*h**2 - h**2 + h**2.\nAnswer: 10*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1\/(7\/((-441)\/9)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 28370 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: Let y be (-7)\/(28\/(-16)) + -2. Solve y*d - d - 20 = -3*u, -3*d - 3*u + 30 = 0 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -2286.997716 - -2287. Round o to 5 decimal places.\nAnswer: 0.00228","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(d) be the second derivative of -11*d**4\/6 + 2*d**2 - 30*d. Differentiate a(c) wrt c.\nAnswer: -44*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from onfrnhrhoooh. What is prob of sequence hofo?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 24392251?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 93 = -3*z + t, 3*z - z + 5*t = -62. Let f(w) = -2*w**2 + 5*w - 6. Let m be f(5). Is z not equal to m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 31.0575 or -0.1?\nAnswer: 31.0575","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let b(y) be the first derivative of y**7\/120 + y**5\/30 - 3*y**3 + 1. Let t(j) be the third derivative of b(j). What is the second derivative of t(u) wrt u?\nAnswer: 42*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -18 - -6 - (-7 + -9).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 6228, 25442, 57466, 102300, 159944?\n\"Answer: 6405*x**2 - x - 176","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is a in 3*a**2\/4 - 57*a\/4 - 162 = 0?\nAnswer: -8, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -2\/5?  (a) 5  (b) 181  (c) -0.01\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -160438*i**2 + 4*i - 32997?\nAnswer: -320876","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -11*o**3 - 193 + 47859*o + 5*o**4 - 47859*o wrt o.\nAnswer: 20*o**3 - 33*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 15 - 65 = -4*w + 2*i, -5*w - 2*i = -49. Suppose 5*b + 1 = 2*c + 21, -4*b + 34 = 2*c. What is the remainder when w is divided by (14\/(-5))\/(b\/(-15))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4 + -1 + -2*(sqrt(234)\/sqrt(2) - sqrt(13))**2 + (2*(sqrt(1872) - (sqrt(1872) + -2)**2 - sqrt(1872)) - sqrt(1872)) + -1.\nAnswer: -3862 + 84*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let t(a) = 7*a**3 - 2*a**2 + 1. Let h be t(1). Suppose 0 = 3*c + 229 + 134. Let w = c + 163. What is the greatest common factor of w and h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 183, 180, 177, 174?\n\"Answer: -3*z + 186","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 2050813 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 39*p**3 - 4*p + 4*p.\nAnswer: 39*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3 + 2323\/(-805) - (-10)\/(-25).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: -33.9*12.8\nAnswer: -433.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 49384812 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 20126 is divided by 20119.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let t(x) = -6*x**2 + 5*x. Let r(l) = -5*l**2 + 4*l. Let h be (-20)\/(6 - 5)*(-2)\/8. Determine h*r(n) - 4*t(n).\nAnswer: -n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*i - 10 = -3*n, -n + i - 6*i + 10 = 0. Let z = 0.06 + -0.08. Let p = z - 0.38. Which is the smallest value?  (a) 0  (b) p  (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10*a - 19023 - 667 = 0. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify q**(2\/15)\/(q**(1\/9)\/q)*q*q\/(q\/q**(2\/39))*q**8 assuming q is positive.\nAnswer: q**(5893\/585)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1*((sqrt(136) + sqrt(136)*-1)*3 - sqrt(136) - sqrt(136)*1*-3))\/(sqrt(72)\/(2*sqrt(9)) - -3*sqrt(1152)).\nAnswer: 4*sqrt(17)\/73","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 4 + 1\/3 + 190\/6. Suppose 5*a + 22 = 3*g, -3*a = -4*g + 8 + f. Solve -5*d + g = -o, -4*o + 3*o = -1 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -242*c + 55229 = 53777 for c.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 28664 to the power of 1\/2, to the nearest integer?\nAnswer: 169","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ly when two letters picked without replacement from {y: 2, d: 1, l: 1}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let i(u) be the second derivative of -u**5\/20 + 7*u**4\/12 + u**3\/6 - u**2\/2 + 5*u. Suppose 5*b = b + 20, 3*g + 5*b = 46. What is the units digit of i(g)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of -328659, -1315472, -2960161, -5262726, -8223167, -11841484, -16117677?\n\"Answer: -328938*p**2 + p + 278","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -206 - 5?\nAnswer: -211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 1310 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is -161921 equal to -161940?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Put 4, 12, -12994 in decreasing order.\nAnswer: 12, 4, -12994","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Does 18 divide 255600?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let g(c) = -29*c + 16. Let k(f) = 34*f - 17. Let i(j) = -3*g(j) - 2*k(j). Let a be i(1). Solve 2*q + 3 - 5 = 4*v, 3*q = a*v for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*g + 36*r + 233 = 34*r, 3114*g - 478 = 3120*g - 2*r for g.\nAnswer: -79","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(448)*-2 + sqrt(448) + sqrt(448) + -3 + 3*(sqrt(448) + -2 - sqrt(448)) + 3 - (sqrt(448)*-3 + 5 + (sqrt(448)*5 - sqrt(448))*-3))**2.\nAnswer: -2640*sqrt(7) + 100921","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: ((21*(-4)\/(-70))\/((-2)\/2))\/(-2)\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Factor -172*i**2 + 46448*i - 2160.\nAnswer: -4*(i - 270)*(43*i - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let y(t) = -14*t**2 + 3*t. Let m(g) = 5*g**2 - g. Let n(z) = 11*m(z) + 4*y(z). Let h be n(0). Solve 0 = o + 2 - h for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -2 + 2 - (-14 - -2)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 18892 is divided by 67?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*b - 2*w = 13, -4*w = 4*b - 2*w + 10. Let g be 40\/45 - 0\/b*-1. Which is smaller: 2 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -335560*f**2*s + 19*f*s + 661 wrt f?\nAnswer: -671120*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence yydd when four letters picked without replacement from {e: 4, y: 2, d: 3, l: 1, k: 1, c: 1}.\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 259*g = -99*g + 10740. Calculate the remainder when 8997 is divided by g.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 574826989 to the nearest integer?\nAnswer: 831","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let c(p) = p**2 - 8*p + 10. Let j be (-1)\/2*(-224)\/16. Determine c(j).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in z - 51*z**2 - 43*z**2 - z.\nAnswer: -94*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 x, 1 q, and 2 z when four letters picked without replacement from {l: 2, q: 2, v: 1, z: 2, x: 4, j: 1}.\nAnswer: 8\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let z(w) = w**2 - 4*w + 6. Let t be z(3). Suppose -3*u + 9 = -t. Suppose u*i - 69 + 13 = 0. What is the lowest common multiple of i and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 6 + -4. Suppose -1 = -53*t + 52*t. Let f be s + t + (-85)\/35. Which is the third biggest value?  (a) f  (b) 5  (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 905329 = 2730*n - 26484*n - 2040167 for n.\nAnswer: -124","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let k(n) be the third derivative of -5*n**2 + 5\/2*n**3 + 0*n + 1\/8*n**4 + 0. Let u be k(-5). Which is smaller: u or 4\/51?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.216 take away -3315430?\nAnswer: 3315430.216","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -9 + 57. Let n = o - 52. Let w = 6 + n. Solve 3*q = -4*v - 6, -v + 4 = -w*q + 2*v for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1417.\nAnswer: 13, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let s(b) = -162*b - 36. Let f(r) = -23*r - 5. What is -36*f(w) + 5*s(w)?\nAnswer: 18*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4709\/4*m**2 + 51\/4*m**4 - 1\/4*m**5 + 867*m - 4913 - 863\/4*m**3.\nAnswer: -(m - 17)**3*(m - 2)*(m + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 797487.199 to the nearest ten thousand.\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 63175 at most as big as 63150?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {x: 2, n: 2}. Give prob of sequence nx.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from dzxdqivdivi. Give prob of picking 1 i, 2 d, and 1 q.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 517 minutes after 5:56 PM?\nAnswer: 2:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Round -11.079 to the nearest integer.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let p(r) be the second derivative of -7*r**4\/30 + 67*r**3\/15 - 12*r**2 + 1742*r. Factor p(g).\nAnswer: -2*(g - 1)*(7*g - 60)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 10 divide -4*(-2)\/24*114?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-12)\/18 + 22\/6. Suppose -4*v = -w*v. Solve v = -5*u - 10 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is (11458\/4 - (-24)\/16) + -3 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -5*g + 2*z + 43, 14*g - 13*g + 2*z + 22 + 3 = 0 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is (-7 - 2) + 153 - -4 - (44 + (-32 - -3))?\nAnswer: 133","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 63015*z**4 - 22864 wrt z.\nAnswer: 252060*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 598, -545, -1690, -2837?\nAnswer: -3986","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 0.5, 0, 37, 7, -0.15?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let w(x) = 15*x**2. Let y(a) be the first derivative of a**3\/3 + 5. What is y(w(l))?\nAnswer: 225*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (x**2 + 0*x**2 + x**2)*(5 + 0 - 2)*(0*x + 0*x - x + (-5*x - 4*x + 3*x)*(-6 + 3 + 1)) to the form p*x**2 + a + s*x + j*x**3 and give j.\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let l(q) = -103 + 41 - 95 + q**3 - q. Let t be l(0). Let z = t - -224. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence kya when three letters picked without replacement from {y: 3, o: 2, k: 1, a: 3, n: 1}.\nAnswer: 1\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let c(g) = g**3 - 132*g**2 - 1573*g + 11. What is c(143)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Divide -150440 by 3761.\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 8290762*d*n + 5786765*n wrt d.\nAnswer: 8290762*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -36 - 10. Let b = -23 - v. What is the tens digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(c) = -48*c - 64. Let i(d) = d**3 + 10*d**2 + 13*d + 16. Calculate the smallest common multiple of i(-8) and j(-2).\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 13 divide 2028247?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:58 PM and 9:31 PM?\nAnswer: 453","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*f - 31919 = -f. Let a = f - -60557. Is a\/30 + (-1)\/10*-4 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -11, 3, 21, 5, -4 in increasing order.\nAnswer: -11, -4, 3, 5, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -487855 and 1.\nAnswer: -487855","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-7 - (-10717)\/(-14))*-2. Suppose 7*x - h - 3397 = 0. What is the tens digit of x?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine y so that 10*y**3\/7 + 149778*y**2\/7 - 629236*y\/7 + 119856\/7 = 0.\nAnswer: -14982, 1\/5, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2\/15, -3, 2, -0.2, 0.1 in increasing order.\nAnswer: -3, -0.2, -2\/15, 0.1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -756633 or -5296428\/7?\nAnswer: -756633","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Factor -1\/2*a**2 - 29*a - 841\/2.\nAnswer: -(a + 29)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: 429 divided by 11\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 5, -1\/5, -9\/8?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -88 or -466621?\nAnswer: -466621","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 174302*r**3 + 142325*r**3 - 857296*r**3 - 515047*r**3.\nAnswer: -1055716*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let r(l) = -2*l + 4. Let d be r(3). Let a(q) = -9*q**2 + 40*q - 5. Let t(h) = -4*h**2 + 17*h - 2. Let i(c) = -3*a(c) + 7*t(c). Let o be i(d). Is o >= -2\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*o + o - 99 = 0. What is the greatest common divisor of 11 and o?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 61\/72 and -35\/24?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is (12\/3)\/((-42)\/(-3))?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 21\/105*90\/(-90)\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 15, 22, 49, 108, 211, 370?\nAnswer: 597","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a(y) = 3*y - 16. Let m(r) = -r + 5. Let u(z) = -3*a(z) - 8*m(z). Let d be u(8). Suppose d = -2*v + 3*n + 9, 3*v - n = -1 + 4. Solve 2*j + 4 + 4 = v for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*c = -4*r - 6, -2*c - 3*r = 2*r + 11. Find v, given that -11*v**2 + 22*v**c - 15*v**2 + 1 + 52*v - 1 = 0.\nAnswer: 0, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine v, given that 212*v**2\/3 - 59362*v\/3 + 560\/3 = 0.\nAnswer: 1\/106, 280","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -31434749*a - 1223*a**2 + 31434749*a.\nAnswer: -1223*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 2663507*m**2 + 363079*m wrt m?\nAnswer: 5327014","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -6?  (a) 5  (b) 0.1  (c) -2  (d) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*h + 284 - 254 = 0. Let c(m) = -h*m + 1 - 23*m + 12*m - 2*m. Give c(-1).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 19\/412 and -15\/447375659?\nAnswer: 1789502636","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let o(y) = -7*y**2 - 418816*y + 418816*y. Let x(w) = 29*w - 37*w + 51*w. Calculate o(x(q)).\nAnswer: -12943*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:45 PM and 3:49 AM?\nAnswer: 244","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 31*p**3 - 67*p**3 + 250*p**3 - p**2 - 3750 + 104*p**3 + 3746 to the form d*p**2 + l*p**3 + h + j*p and give l.\nAnswer: 318","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2*-5*(sqrt(468)*-2 - sqrt(468))\/sqrt(9))\/(5*((sqrt(4) + sqrt(16))*4 - -6*sqrt(16))).\nAnswer: -sqrt(13)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 3233 - -253313?\nAnswer: 300550","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 1794 and 5671110.\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 41*y - 128095 = -14*y. Is y a multiple of 57?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(o) be the second derivative of o**3\/6 + 5*o + 24. Let v(j) = 7*j**2 + 2*j + 264. What is v(b(x))?\nAnswer: 7*x**2 + 2*x + 264","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let r(j) = j**2 + 65*j + 551. Let l be r(-10). Which is the second smallest value?  (a) -6  (b) 4  (c) -2.2  (d) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*i - 5*h = 7626, 29*i + 5*h - 7606 = 25*i. List the prime factors of i.\nAnswer: 2, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -2224, -2143, -1998, -1759, -1396, -879?\nAnswer: -178","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 604\/8 + (-4)\/8 and 75?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose a = -4*h + 12361, -5*h + 0*a = 3*a - 15460. What is the thousands digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(y) = -3*y**2 + 40. Let j(t) be the second derivative of 0 + 0*t**3 - 10*t + 0*t**2 - 1\/12*t**4. Give j(c(h)).\nAnswer: -9*h**4 + 240*h**2 - 1600","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -59\/58 or 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 i and 1 j when two letters picked without replacement from kksij.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 2226 - 2280. Sort 1, -2, k, 2 in descending order.\nAnswer: 2, 1, -2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be -10*(-4)\/(-24)*-3. Suppose -n + s = 4*n - 1, -2*n + r*s = 18. Suppose 0 = -t + n + 6. What is the highest common divisor of t and 77?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 512.1441 centuries to millennia.\nAnswer: 51.21441","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -152201.6 from -25.\nAnswer: 152176.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let c(w) = -3*w - 15. What is c(-6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (11*i + 2*i - 2*i + i**4)*(-5 - 3 - 1) to the form x*i**3 + z*i + r*i**4 + f + k*i**2 and give r.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1 in -4, -2\/5, -2\/341, -57\/50?\nAnswer: -2\/341","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 130*n**3*y**5 - n**3*y + 65*n**2*y + 2*n*y**5 wrt y.\nAnswer: 2600*n**3*y**3 + 40*n*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.11?  (a) -2\/3  (b) 2\/3  (c) -0.002  (d) 2\/2809\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let t(h) = 3*h**2 - 111*h + 192. Let x be t(54). Round x to the nearest 100.\nAnswer: 2900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -87*q + 0*q**3 + 4*q**3 - 3*q**3 - 20*q.\nAnswer: q**3 - 107*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Does 958 divide 5445272?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Put 5, -3, -8, -2\/9, -2\/127, 2, 32 in ascending order.\nAnswer: -8, -3, -2\/9, -2\/127, 2, 5, 32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 14 (base 5) in base 3?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (86\/(-16) + (-60)\/(-160))*-3. Suppose 7*i = 2*i - j. What is the second smallest value in -0.2, -9, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-45)\/9)\/((-615)\/6519)?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of ((-12)\/(-32) - 2274\/(-80))\/(132\/440) and 5136.\nAnswer: 10272","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 29.3 - 29.189. Let k = -0.411 + p. Let j(q) = -q**3 - 6*q**2 + 9*q + 9. Let m be j(-7). Which is the third smallest value?  (a) m  (b) 2  (c) -4  (d) k\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1006 = 697*h + 15448 + 4706 + 15702 for h.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Sort -249, 0, 39564.\nAnswer: -249, 0, 39564","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 424 minutes after 11:46 PM?\nAnswer: 6:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 454 is divided by 115.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 112, 111, 110?\nAnswer: 109","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -0.6369 + 0.8169. Which is smaller: -1.69 or i?\nAnswer: -1.69","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*q + q + 88 = 0. Let x be 22\/q - (-3)\/2. Suppose -104 = -x*b + 48. What are the prime factors of b?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-3)\/(-15)*48\/48)\/((-19)\/4275)?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z(h) = -11882*h + 50. Let x(i) = 29706*i - 120. Give -5*x(w) - 12*z(w).\nAnswer: -5946*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is -1\/698456873 < 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from jajjkaajakaj. Give prob of picking 1 k and 1 j.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: 0.539 * -1\nAnswer: -0.539","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 84904844?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((p**(-1)*p)**(-1\/12)*(p**0*p*p)**(6\/19))\/((p*p**(1\/2)*p*p)**35\/(p\/(p*p**0*p*p*p))**(-39)) assuming p is positive.\nAnswer: p**(-185\/38)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 5\/251 and (-3)\/180*106 - 1\/(-6)?\nAnswer: 1255","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 4 - -e38?\nAnswer: e3c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) 0  (b) 97  (c) -1  (d) -56406\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_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: Does 34 divide 2246846?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*y**3\/5 + 5595*y**2 - 65202729*y\/5 - 65230707\/5.\nAnswer: -3*(y - 4663)**2*(y + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let w(g) = g**2 + 7*g - 2. Let p be w(-12). Let f = -22 + p. Does 11 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-33 - -69) + -56 + 1 + 3?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 253 and 620103?\nAnswer: 253","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 2, -0.07, -4\/5, -3?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (6\/(-1))\/(-4056979 - 0). Let t = 1586268475\/6973946901 + y. Let u = 1\/191 - t. Is 1 equal to u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.1?  (a) 136  (b) -3\/7  (c) -4\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*r + 1585 = 4*m + 1543, 0 = -m + 3*r + 48 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 6396 a multiple of 58?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -777180, -1554346, -2331512?\n\"Answer: -777166*y - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b(m) = m**2 + 38*m + 215. Calculate b(-7).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Sort -527, -4\/5, -1\/4, 3\/4 in increasing order.\nAnswer: -527, -4\/5, -1\/4, 3\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Expand (u + u - u)*(1 - 1 + 2*u**2) - 433*u**3 + 4*u + 40*u + 435*u**3.\nAnswer: 4*u**3 + 44*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve u**2\/7 - 17*u\/7 + 16\/7 = 0.\nAnswer: 1, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve -36*x - 43*x - 1280 = -69*x for x.\nAnswer: -128","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.01226 + -465346?\nAnswer: -465346.01226","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Express 2*m**3 + 5 + 7*m**2 - 6*m**2 - 9 + m in the form x*m + u*m**2 + w*m**3 + p and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is -1431158 (base 13) in base 3?\nAnswer: -110001011021212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: 373152 - 1.8091315\nAnswer: 373150.1908685","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*x = x - 5*t - 253, -3*x + 181 = 5*t. What is the tens digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -1765071\/5 greater than or equal to 9\/20?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Put -1, -14, 3, -23, -2 in ascending order.\nAnswer: -23, -14, -2, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 1005 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -b*s**4 + 8*b*s**3 - 973*b - 15*s**3 + 7*s**2 - 2*s wrt s?\nAnswer: -24*b*s + 48*b - 90","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 25904 and 40?\nAnswer: 129520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*y + 31 = -m + 24, -4*m + 14 = y for y.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1 or -3\/297953?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 187 + -816c4c?\nAnswer: -816a95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose x + 28 + 25 = 0. Let g = 171 + x. What is the remainder when g is divided by 30?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -8*m - 3*m + 2*m to the form n*m + d and give n.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let f(h) = h**3 - 72*h**2 + 210*h - 80. Calculate f(69).\nAnswer: 127","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1?  (a) 5  (b) -1  (c) -14  (d) -2  (e) 16\/16645\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 12163555 is divided by 2860?\nAnswer: 2835","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let s(l) be the first derivative of 7 + 2*l**2 + 0*l + 2\/3*l**3 - l**4 - 2\/5*l**5. Factor s(a).\nAnswer: -2*a*(a - 1)*(a + 1)*(a + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2*(sqrt(56)\/sqrt(32))**2 + -5.\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 w and 1 f when two letters picked without replacement from {h: 3, i: 2, d: 1, f: 3, w: 7, m: 1}.\nAnswer: 21\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 7, 107, 283, 541, 887?\nAnswer: 1327","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose q + 3*l = 5*q - 537, -3*q + 4*l = -394. What is the remainder when q is divided by 47?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*s - 2*q - q + 9 = 0, 3*q = -3. Let j = -2\/159 + 218\/477. Let f = 2363.4 - 2364. Which is the nearest to f?  (a) j  (b) 0  (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 + n + 1)*(5 - 3 - 1)*(-90 - 93 + 207).\nAnswer: 24*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Express 60*w + 98*w - 131*w + 3 as m*w + o and give o.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let b(h) = 2*h. Let o be (4 - 4)*(-14)\/(-56). Let a(y) be the third derivative of 0*y**3 + 0 + o*y - 11*y**2 - 5\/8*y**4. What is a(b(n))?\nAnswer: -30*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*b + 6*b + 56 = 0. Let q(h) = -h**3 - 6*h**2 - 6. Let f be q(-6). What is the remainder when 36 is divided by (76\/f)\/(b\/21)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in m - m - 5*m**3.\nAnswer: -5*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3*(((-1 + sqrt(180))*-3 + (sqrt(180) + 1 + sqrt(180))*-5)**2 + 1).\nAnswer: 936*sqrt(5) + 91275","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2592342 is divided by 113?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let r(v) = -7*v**3 + 3*v**2 - 5*v. Let q(i) be the first derivative of 0*i - 2\/3*i**3 + 3\/2*i**4 + 2*i**2 + 20. What is -5*q(c) - 4*r(c)?\nAnswer: -2*c**3 - 2*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose g + 3 = 0, -16*r - 2*g + 34 = -18*r. Let f be (-45)\/(-54)*(-18)\/r. What is n in f*n**4 + 0 + 3*n + 9\/2*n**3 + 27\/4*n**2 = 0?\nAnswer: -4, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(c) be the second derivative of -5\/2*c**2 - 1\/6*c**3 + 0*c**4 - 1\/20*c**5 + 43 + 2*c. Determine l(0).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3 a factor of 104?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-2*g**2 + 2*g**2 - 5*g**2)*(2 - 6 - 5)*(-5 + 3 + 1) to i + v*g + a*g**2 and give a.\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: How many decades are there in 1974708.3 months?\nAnswer: 16455.9025","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 18158 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -6845, -13687, -20529?\nAnswer: -27371","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 56*z + 22 = 67*z. Sort -14, z, -10.\nAnswer: -14, -10, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(a) = 56444*a**2 - 112899*a**2 - 55 + 56452*a**2 - 25*a. Give p(-7).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -37 - -131. Suppose z = 3*q - 65. Calculate the remainder when q is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be -19 - 11\/44*-236. Solve -4*k + w = n + 21, 4*n + 19 = 3*k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -11 = f + 3*v, 5*v + 14 = -f - 3. Let c = f - -7. Let b = -19 - -30. Calculate the lowest common multiple of b and c.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0 divided by 16995050.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -20117 + 20117. Which is bigger: -344 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (4 + 2 - 4)*(-34*y - 8*y - 11*y) to d + m*y and give m.\nAnswer: -106","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 12884 - 12546. What is the highest common factor of 1274 and x?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 2\/(-5) + 342392\/(-20). Let u be (b\/15)\/((-4)\/18750). Suppose -k + 6*k - u = 0. Round k to the nearest 100000.\nAnswer: 1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 25*f = 27*f - 4*b - 11364, -f - 4*b = -5670. Is 123 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(y) = -y**3 - 7*y**2 - 16*y - 47. Let g be i(-4). Let m(l) = l**3 + 3*l**2 + l. Let a be m(-5). Let x = g - a. Is 8 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -120 - -10 - (786 - 841).\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 644329?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Factor -o**3\/6 + 1079*o**2\/6 - 22217*o\/2 - 69897\/2.\nAnswer: -(o - 1013)*(o - 69)*(o + 3)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*q + 64 = 8*q. Suppose 0 = 24*x - q*x - 4720. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 60.63766mg in tonnes?\nAnswer: 0.00000006063766","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t(o) = -36*o**2 + 48*o - 68. Calculate t(4).\nAnswer: -452","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-13)\/(39\/62)*6\/(-8). Let v = -14 + q. Factor 1 + 1\/2*i**2 - v*i.\nAnswer: (i - 2)*(i - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -338000 rounded to the nearest one hundred thousand?\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let a(p) = 2*p - 7. Suppose -2*k - 5*s = -37, k - 5*s + 6 + 13 = 0. Suppose -3*t = -k*t. Suppose 4 = g - y, -g + 6*g + 2*y - 27 = t. Determine a(g).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4*4*(sqrt(26) + sqrt(26) + sqrt(260)\/sqrt(10))\/sqrt(2) + (-3 + (sqrt(468)*4 - sqrt(468)))*2)**2.\nAnswer: 144*sqrt(13) + 1908","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 32769 + 6859. What is the ten thousands digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence xmi when three letters picked without replacement from {u: 2, m: 3, x: 1, j: 7, i: 4}?\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 99469 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 9442 is divided by 2539?\nAnswer: 1825","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Product of -189.6513 and 0.5.\nAnswer: -94.82565","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 1207, 2397, 3587, 4777?\nAnswer: 5967","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x be ((-1)\/1)\/(2\/(-6)). Let n be 6*(2 + (-4)\/x). Suppose -n*q = -3*q + 4*k - 4, -2*k + 2 = 2*q. Solve 4*d + 0 = 3*h - 7, -3*d + 5*h - 8 = q for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of 5006.9 and 642.\nAnswer: 3214429.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 600 and 68326572?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 19625*w + 215093 + 334703 + 156704 for w.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -61.66 + -0.34. Let l = 61.9972 + k. Round l to three decimal places.\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -27069, -27065, -27059, -27051, -27041, -27029, -27015?\nAnswer: -26999","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = d - 3*d + 4*n + 2, 0 = 5*d + n + 50. Let x be (450\/(-8))\/(d\/(-24)). What is x rounded to the nearest 100?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(a) be the first derivative of a**4\/6 + a**3\/2 - 2*a**2 + 296*a + 172. Let o(w) be the first derivative of f(w). Let n = -2 - 2. Give o(n).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2 + (-5*(-1 + sqrt(13) + -1)**2 + 0)*4.\nAnswer: -342 + 80*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3 divided by 79.\nAnswer: 3\/79","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let i(g) = g**3 - 12*g**2 - 2. Let v(y) = -y**2 - 1. Determine i(n) - 4*v(n).\nAnswer: n**3 - 8*n**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -58605, -117211, -175817, -234423, -293029?\nAnswer: -351635","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w be -6 + 15*(-39)\/(-99). Let g = -0.09 - -5.09. Which is the nearest to g?  (a) 2\/9  (b) w  (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1?  (a) 7  (b) -0.03  (c) 3  (d) 4\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 59\/4 of a litre in millilitres?\nAnswer: 14750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2*(((6*sqrt(70)*-4 - sqrt(70))*-5)\/(sqrt(640)*-3*-5))**2.\nAnswer: -4375\/288","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is -4.30777 rounded to the nearest integer?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: -2 + 0\/(-3 - -1)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 0.45 - 0.05. Suppose 0 = 9*x - 5*x + 20. Suppose -4*j = 2*g + 4, 3*j - g - 8 = 3*g. What is the second biggest value in m, x, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*p = 6 + 3. Suppose 0 = -p*t - o + 8, -t - 3*o + 2*o + 6 = 0. List the prime factors of (26\/(-6))\/(t\/(-3)).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -158 - (162 + -290) - (-1 + 83)?\nAnswer: -112","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 11206 is divided by 10210.\nAnswer: 996","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 212322 - 10?\nAnswer: 212312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 0.02 - 4.02. Which is the closest to 2\/5?  (a) 0.3  (b) q  (c) -0.05\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (0 + (4*2*sqrt(70)*2*6)\/((sqrt(10) - (sqrt(10) + (-3*sqrt(40))\/sqrt(4))) + sqrt(490)*-3 + sqrt(490)))**2.\nAnswer: 64512\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*l - 169 = -239. Solve 2*a = -4*j - 20, 4*a + a + l = -5*j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 9 and 74269625.\nAnswer: 668426625","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Work out 3.1 * -3.\nAnswer: -9.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.02 - -8.28.\nAnswer: 8.26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let l(v) = -2*v**2 + 6. Let o(t) be the second derivative of t**3\/3 + 591*t. Determine l(o(g)).\nAnswer: -8*g**2 + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*i - 4*q + 28 = 0, -i + 5 = -4*q + 18. Suppose -4*j + 2 = i*n - 24, 30 = 5*n + 4*j. Solve 3*k - n = 1 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -1232 - -1294. Calculate the remainder when 173 is divided by r.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 56 + -54. Suppose 3*t = 5*t - s. What is the remainder when 4 is divided by t?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6560*g + 196 = 6546*g for g.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 51145?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-24)\/18)\/(-4)*(-6)\/8.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z(a) = 11*a**3 - 2*a**2 + 1. Let x be z(1). Suppose 308 = 4*p - 4*w + 32, 0 = -5*w + 5. What is the greatest common divisor of x and p?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-48)\/(-36)*(-7)\/(14\/60). Let i be (-16)\/g + ((-6)\/15 - 0). Solve 49*k - 45*k + 20 = i for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 7*y - 12*y + 1320. Suppose -t = -5*i + 209 + 85, 5*i = -t - y. Let h = t - -396. What is the highest common factor of h and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(f) = -4*f**2 - 7*f + 6. Let g be i(1). Let o(x) = -x**3 - 3*x**2 + 5*x + 1. Let d be o(-4). Sort 1, g, d in decreasing order.\nAnswer: 1, d, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*p - 6, -5*p - 4 = -b + 40. Suppose 3*s + 3023 = c + 158, -c + s + 2871 = 0. Let d be 6 + b\/(-8) - c\/8. Round d to the nearest one hundred.\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 20 + -17. Let r(q) = q**2 - 3. Determine r(b).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*s = -4*y - s + 2, -3*s + 8 = 2*y. Let d be 2\/(5\/(-3) - -2). Let q(k) = k**3 - 7*k**2 + 5*k + 4. Let v be q(d). Sort v, 0, y in increasing order.\nAnswer: v, 0, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -422717 greater than or equal to -0.77?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 719 bigger than 728?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2*d**2 + 525 - 4046 - d - 1373.\nAnswer: -2*d**2 - d - 4894","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*f = 5*t + 5 + 9, 0 = -3*t - 6. Sort f, -3, 16 in descending order.\nAnswer: 16, f, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (16*b - 16*b + 64*b)*(2*b - b - 3*b + (b - b - 2*b)*(-3 + 2 - 1) + 0 - 3*b + 0 + 5*b + 4*b - b).\nAnswer: 448*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*w - 8 = 2. Suppose m = 3*p - 3, w*p - p - 1 = -2*m. Solve m*b - 6 = -2*b + i, 2*b + 3*i = 14 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(66) + (4*(2*sqrt(66) + sqrt(66)) - sqrt(66)))\/((sqrt(84)\/sqrt(7))\/sqrt(2)))**2.\nAnswer: 1584","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let p(s) = 67*s - 62. Let u be p(1). Solve 6*b + 4 = 8*b - 4*i, -10 = -u*b - 3*i for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 11086859256 + -0.26\nAnswer: 11086859255.74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let d(f) = 105*f**2 + f. Let j(v) = -21*v + 270. Let z(k) = -10*k + 108. Let x(c) = 2*j(c) - 5*z(c). Give d(x(w)).\nAnswer: 6720*w**2 + 8*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: How many grams are there in five eighths of a kilogram?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -2 + -4 + -1 + 4?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 40, 48, 38, -8, -108, -280, -542?\nAnswer: -912","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -14696.9909944 + 14697. Round x to 4 decimal places.\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 30021 + -131231?\nAnswer: -101210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: -4 + (-15 - -9) + -2\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 90\/(-6) + (440 - 29) is divided by 57?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -23.6 - 210.4. Let o = 233.5 + k. What is the nearest to 1\/5 in -2, o, -1?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (((-126)\/132)\/(-7))\/(8\/((-192)\/18)). Let c = 4 + -3. What is the nearest to 1\/8 in j, 0.1, c?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -t**3\/6 - 373*t**2\/3 - 703*t\/6 + 5215.\nAnswer: -(t - 6)*(t + 7)*(t + 745)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*h**4 - 3*h + 3*h - h**4 + h**4 + h**4 + 2 - 2 - h**4 + (1 + 2 + 0)*(0*h**4 + 6*h**4 - 4*h**4).\nAnswer: 4*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose h - m = -2*h - 55, -5*h - 85 = -3*m. Let l be 12\/h - (-33)\/5. Suppose -392 = -l*a - 104. What is the remainder when a is divided by 17?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 586?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -14 - 38?\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Convert 11 (base 8) to base 4.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a(x) = 27*x - 1. Does 12 divide a(2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(y) = -y**3 + 3*y**2 + 7*y - 6. Let k be z(4). Suppose d = k*d - 325. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -5537077, -22148266, -49833581, -88593022, -138426589, -199334282, -271316101?\n\"Answer: -5537063*q**2 - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Put 630, -4, 1, 3 in ascending order.\nAnswer: -4, 1, 3, 630","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 295\/11 or 26?\nAnswer: 295\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -2.11717 + 0.11717. Let y(d) = -d - 1. Let o be y(-4). Let j be (o\/(-5) + 1)\/2. Which is the nearest to j?  (a) -0.3  (b) v  (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in -341\/20, 4, -11, -20?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence nxh when three letters picked without replacement from {x: 3, m: 2, q: 3, h: 1, w: 3, n: 4}.\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 22367 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 276091614?\nAnswer: 2, 3, 263, 58321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) -2\/5  (b) 15  (c) -3  (d) 87  (e) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4 + (-2 + 0 + sqrt(48))**2.\nAnswer: -16*sqrt(3) + 48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let t(o) = -o**3 + 24*o**2 - 136*o - 4. What is t(11)?\nAnswer: 73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 15809 or -1?\nAnswer: 15809","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: -104*(6110\/2366)\/(-47)\nAnswer: 40\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Work out -2.25 * -245653.\nAnswer: 552719.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 4655 - 4658. Sort 2, 14, h, -24.\nAnswer: -24, h, 2, 14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -266916 or -266915?\nAnswer: -266916","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let a(b) = 8*b**2 - 22*b - 119. What are the prime factors of a(-10)?\nAnswer: 17, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 610, 609, 608?\nAnswer: 607","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u(y) = -24*y - 308. Let c be u(-13). Suppose -3 = 4*k + 5. Put k, 1, c, -4 in decreasing order.\nAnswer: c, 1, k, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Do -194 and -193 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/10 of a century in years?\nAnswer: 30","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 2 - -892?\nAnswer: 894","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1?  (a) -1\/4  (b) -0.04  (c) 997\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 162520119 to the nearest integer?\nAnswer: 12748","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let y(w) = 1776*w**2. Let h(o) = -o**2 + 20*o. Let q(n) = 3*n**2 - 50*n. Let x(c) = -5*h(c) - 2*q(c). Determine x(y(d)).\nAnswer: -3154176*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 5320\/50*(-10)\/(-4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 7431 a factor of 252862326?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-201)\/(-9) + (-4)\/(-6). Let a = -41 + 43. What is the third derivative of -7*q**6 + 4*q**a - 4*q**6 - o*q**2 wrt q?\nAnswer: -1320*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ynl. Give prob of picking 1 n and 1 l.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -23 + 31. What is the least common multiple of 5 and j?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 minus 4513?\nAnswer: -4513","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -2171834, -4343663, -6515492, -8687321, -10859150, -13030979?\nAnswer: -15202808","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 1077 - 109*h**4 + 1007 + 31*h**4 with respect to h.\nAnswer: -312*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -1.8, -263, 5, -12064, -3?\nAnswer: -263","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: (8\/(-24))\/1 - (-1)\/5\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -39 - -145. Suppose -f - 5*x + 2 + 0 = 0, -3*f + 96 = -3*x. Calculate the remainder when j is divided by f.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 30461222651 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of 152, 303, 454, 605, 756, 907?\n\"Answer: 151*c + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 173966526?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*q = -0*l - l + 12, -4*l = -2*q + 24. What is the smallest common multiple of 20 and (-42)\/q*(-8)\/6?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -3, -5, 3, -10\/3, 1\/5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ccnkiciicnnnniiccii. Give prob of picking 1 k and 1 n.\nAnswer: 5\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Express i - 3*i - i**3 - 2*i**3 + 2*i**4 in the form c*i + y + f*i**3 + s*i**4 + t*i**2 and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1\/3*(-4)\/(-1)*(-192)\/(-160)?\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0\/(-111)*2\/(-14).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -19*c + 31 + 26 = 0 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 170?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(66)\/sqrt(3)*6)\/(sqrt(176)*-2).\nAnswer: -3*sqrt(2)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*t + 7 - 3. Let q be t + (-1 + 0)\/(-1). Solve q*w - 4*w = 16 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 357277 (base 12) in base 7?\nAnswer: 10222006","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is -0.4 less than -0.0848?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3*1*(sqrt(72) + 0 + -3 + -2 + -1))**2 + 0 + -1.\nAnswer: -648*sqrt(2) + 971","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 24\/5, -28, -1?\nAnswer: -28","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -539.8 + 540. Let b = -17.7 - -2.7. Let q = b - -17. What is the closest to t in -1, q, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 41 and 697?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 335965*u - 335971*u - 234 for u.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: How many decades are there in 0.4048136 millennia?\nAnswer: 40.48136","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (12\/16)\/((-3)\/1). Let x = 52.8 + -53. Which is the third smallest value?  (a) v  (b) 4  (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 591 minutes after 7:48 AM?\nAnswer: 5:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: (146 - 145)\/((-78)\/26 + (-79)\/(-26))\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 430 and 3183118?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 8483260 to the nearest integer?\nAnswer: 204","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: -33702 divided by -33702\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose q + g + 88 = 0, 2*q + 2*g + g + 176 = 0. Let z be q\/(-14) - 6\/21. Let f be 70\/(-4)*12\/(-7). Calculate the highest common divisor of f and z.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence mm when two letters picked without replacement from {m: 10}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 430 minutes before 4:24 PM?\nAnswer: 9:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -3.082 - -0.082. Which is the closest to -0.2?  (a) h  (b) 2\/5  (c) 0.05\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -430 + 1629. Let i = -430 + y. Suppose 0 = -10*c + 3279 - i. What is the hundreds digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 42874799 and 5763.\nAnswer: 1921","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: 67 + (0 - 82) + -44\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 281989 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 1190 and 3706.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*r - v = -30, 20*r - 16*r = -4*v + 40 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 q and 1 w when two letters picked without replacement from qqoqowoiow.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve -230*m = 3937903 - 3936063 for m.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: -12*4\/(-24)*(140\/40 + 13)\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: (-2 - -2 - (-5)\/10)\/(-1)\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 15233393.\nAnswer: 7, 557, 3907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 74 or 125?\nAnswer: 74","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 9\/(-2)*4\/(-6). Let q = 12 + -12. Suppose q = -4*f + 53 + 7. Solve 7 = 2*u - 3, b = -w*u + f for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 11563 and 10071.\nAnswer: 373","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 2*a**3*i**3 - a**3*i + a**2*i - 12*a*i + 2217*a + 15488681*i**4 - i - 7 wrt i?\nAnswer: 12*a**3*i + 185864172*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 4 a factor of ((-8)\/5)\/(4\/(-30))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-2263 - -2270) + (-2 - (6 - 2)) - 93.\nAnswer: -92","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in three tenths of a litre?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l(x) = 6138*x**2 - 16*x - 50. Does 55 divide l(3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 4\/7  (b) 2575  (c) 2\/7  (d) 449\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2\/241193, 3, -0.35, 4.\nAnswer: -0.35, 2\/241193, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 162 + -63. Let a = x - 78. What is the remainder when 80 is divided by a?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1321a (base 13) in base 16?\nAnswer: -8ab9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -3209\/114 + 101\/19. Find the common denominator of a and -4\/15.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -2\/25, -692, -655\/4?\nAnswer: -655\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Round 108815000 to the nearest one hundred thousand.\nAnswer: 108800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: -5 times -3\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*h = 12*h + 364. Let t = -45 - h. Is 2 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -1045, -3524, -7567, -13102, -20057, -28360?\nAnswer: -37939","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(54)\/sqrt(3) + 2.\nAnswer: 2 + 3*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: 23303331333 (base 4) to base 8\nAnswer: 13637577","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: 21855 (base 13) to base 6\nAnswer: 1145113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a(x) = x**3 - 12*x**2 + 12*x + 14. Let m be a(11). Suppose -22 = -3*i - 7. Suppose i*j = 95 + m. Calculate the greatest common factor of j and 36.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*a = -2*q - 6 - 7, 0 = -a + 3*q + 16. Suppose -183 = -2*d - d. Let k = d - 185\/3. Which is smaller: k or a?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, 29, 1954.\nAnswer: 4, 29, 1954","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 10\/20*(-6 - (2 + -2)). Let p(h) = h**2 + 2*h - 1. Let s be p(y). Solve 0 = s*c + 4*x - 5*x - 9, -c + 4*x + 22 = 0 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 67 - -105. What is the remainder when n is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose k - 617 = -3*o + 746, 2*k = 6*o + 2666. What is the remainder when k is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-55083*j + 55083*j + 461*j**2)*(0 - 1 + 4).\nAnswer: 1383*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2 + 6 = 4*d. Let f be (-91)\/1*2*d. Let p = 916\/5 + f. Which is the second smallest value?  (a) -5\/3  (b) -0.1  (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 3 - -cb?\nAnswer: ce","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 4 a factor of 185?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 5 - 1 - (-80 - -90 - (-1 + 17))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence fauf when four letters picked without replacement from fffuusafffufaa.\nAnswer: 9\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-368)\/378 + (-32)\/112. Let y = i - -700\/513. Which is the second biggest value?  (a) -2  (b) y  (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 12 and 378.\nAnswer: 4536","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 101\/3 of a century?\nAnswer: 40400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v(a) = a**2 - 5. Let b(s) = -s + 11. Let k be b(0). Let c = 14 - k. Let w be v(c). Solve -5*g + 3 - w = 3*u, -2*g = 4*u + 6 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -20 + 25. Suppose -w = s*w - 210. What is the units digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-36)\/(-8)*(-410)\/(-369)*-2.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -2, 0, 0.1, 1, 26?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-30)\/1890*99)\/((-6)\/(-7))?\nAnswer: -11\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 107470316 is divided by 159?\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4*r + r - 3*r)*(-3 + 4 - 3)*(4322 + 3458 + 76 - 1829).\nAnswer: -24108*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 291 + -236. Let u = 61 - k. Solve -y - 2 = 5*l + 10, 0 = 3*y + u for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {j: 1, y: 1, d: 1, a: 3, c: 5}. Give prob of sequence aa.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let k(p) be the first derivative of -403*p**5\/5 - 53*p**3 - 411. What is the third derivative of k(r) wrt r?\nAnswer: -9672*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(d) = 44*d - 4 - 81*d + 40*d. Let a be f(12). Calculate the highest common factor of 16 and a.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 26169.\nAnswer: 3, 11, 13, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let o(f) = f**2 + 7*f + 25. Let j be o(-5). Suppose j*v - 24 = 3*v. Calculate the least common multiple of 8 and v.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {v: 2, j: 9, y: 8, q: 1}. What is prob of sequence vjqv?\nAnswer: 1\/6460","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -3  (b) -2.9  (c) 2\/9  (d) -78929\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 31, 137, 305, 529, 803, 1121?\nAnswer: 1477","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1*sqrt(567) + sqrt(567) + 3)**2 + -4*-2*sqrt(28) - ((1*sqrt(252))\/sqrt(4) - sqrt(56)\/(sqrt(64)\/(-1*sqrt(8)))).\nAnswer: 120*sqrt(7) + 2277","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: -145.02 times -99\nAnswer: 14356.98","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 b and 1 u when two letters picked without replacement from {b: 1, u: 3}?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 31, 81, 157, 259, 387, 541, 721?\n\"Answer: 13*d**2 + 11*d + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 45*103\/((-166860)\/(-72)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 4976840.13209 - 5233847.271989. Let z = n - -257007. Let j = z - -0.14. What is j rounded to 5 dps?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from rfygrgi. What is prob of sequence ig?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of (13\/(-3) - -5)\/(44\/(-10)) and -76\/33.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*o = 2*o - 21. Suppose -2*y = -5 - 3. Sort y, 2, o in increasing order.\nAnswer: 2, o, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of l**2*z**3 - 191*l**2*z - l**2 + 17*l*z**3 - 17*z**3 - z**2 + 8 wrt z?\nAnswer: 6*l**2*z + 102*l*z - 102*z - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8 = -u - 6. Suppose -2*w = 5*r + u*w - 59, 2*r = -w + 23. Solve -2*x - 3*p = 22, -r = -5*p - 31 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*j + 3*j - 44. Is j less than 44?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1\/4?  (a) 1037  (b) 1\/2  (c) -14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 21384 and 17820.\nAnswer: 106920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 17.2 - 0.2. Let t = 2 + k. Let y = t - 19.4. Put 3, -4, y in descending order.\nAnswer: 3, y, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1545 is divided by 190?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let p(y) = -y**3 - 25*y**2 - 25*y + 2. What is the remainder when 65 is divided by p(-24)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(t) = 15*t**3 - 5*t**2 - 2. Let f(c) = -29*c**3 + 11*c**2 + 5. Let l(u) = 3*f(u) + 7*o(u). Calculate l(-1).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(x) = x + 6. Let z be h(-6). Suppose -5*a + a = 5*u + 9, 2*a - 2*u - 18 = z. Suppose 0*r - 18 = -3*r + 3*v, -25 = -3*r - a*v. List the prime factors of r.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3543*q - 1040 = 1666*q + 1747*q for q.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 4.53 in 13, 0.1, -1\/3, -0.04?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let f(h) = -2*h**3 - 73*h**2 + 31*h - 201. Let x be f(-37). Calculate the greatest common factor of 203 and x.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 739 - 19865?\nAnswer: -19127","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let u(w) = 25*w - 371. Let m be u(15). Solve 9*l = m*l + 2*r - 19, -3*l + r - 11 = 0 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(b) = 2*b**2 - 21*b + 51. Let g be d(-22). Is g\/(2 + 3*2\/(-6)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(w) = 35*w + 15. Suppose 15 = 2*s + 3. Let z(p) = 12*p + 5. Let v(r) = s*y(r) - 17*z(r). Differentiate v(i) with respect to i.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 13018 and 138.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is -1131 divided by -6143?\nAnswer: 1131\/6143","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 824356*h**2*s**2 + 2194338*h**2 + 24*h*s**2 + 11*s wrt s.\nAnswer: 1648712*h**2 + 48*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let u(q) be the third derivative of -q**5\/30 - q**4\/12 + q**3\/2 + 7*q**2. Let m(b) = 5*b**2 + 5*b - 6. Give 3*m(p) + 7*u(p).\nAnswer: p**2 + p + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Sort -34185, -1, -2 in decreasing order.\nAnswer: -1, -2, -34185","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4 + ((sqrt(200) - (sqrt(200) - sqrt(200)*-3*1)) + 5)**2 + -3*((sqrt(200) - (sqrt(200) + sqrt(200) + -2))*-6)**2*-5.\nAnswer: -21900*sqrt(2) + 111989","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11 = 13*w - 41. Suppose 82 = 3*p + j, -2*p + w*j - 94 = -5*p. What is the remainder when p is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1981865279 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let q be -6 + -18 + 5 + 1. Let f be ((-9)\/4*2)\/(q\/(-24)). Let h(m) = -m - 4. Let l(b) = -b - 4. Let v(r) = -3*h(r) + 4*l(r). Determine v(f).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1803, -3, -4.\nAnswer: -4, -3, 1803","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 45 - 41. Suppose 0 = u - z*y - 9, 0*y = -4*u + 5*y + 36. Suppose -3*r - 30 = -u*r. Is r bigger than 4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 38 + -37. Let g be y*6*(-3)\/(-6). Suppose -i + g*i = i. Solve 3*j + i*o = 2*o - 11, -5*j = -3*o + 18 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2.1 in 3, 2\/7, 2, -0.08, -1\/19?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let f(q) = -2*q**3 - q**2 + 2*q + 10627. Suppose -10*w + 15*w - 15 = -3*n, 5*n - 2*w + 6 = 0. Is f(n) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -389, -417, -441, -461?\nAnswer: -477","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*j + 10, -4*m - 2*j = 2*j - 28. Let b = 176 - 169. Suppose b*k = 3*k + 12. Solve -k*w = -4*s - 11 - 0, 0 = m*s - 5 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1 less than -89\/273?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -10 - -4. Let q = 4 + u. Let i = 3 + -2.7. Which is the smallest value?  (a) q  (b) i  (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (y + 0*y + 0*y + (y + 5*y - 5*y)*(4 + 2 - 3))*(2*y - y - 2*y).\nAnswer: -4*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*y - 2352 = 7*y. Let v = y - -265. Does 24 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(p) = 4597*p**2 - 5*p - 1811. Let c(s) = 13779*s**2 - 14*s - 5432. Let z(j) = 5*c(j) - 14*y(j). Find the first derivative of z(u) wrt u.\nAnswer: 9074*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in -18, 0.049, -116, 1\/7, -1\/9?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 17082771 + 22699129 = 83*i. What is i rounded to the nearest 10000?\nAnswer: 480000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 34133233?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -0*w + 3*w - 27. Suppose -5*s + 56 + w = 0. Suppose 5*o = 4*q + s + 18, 4 = -q. Solve 0 = o*d - 4*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -5067 + -1146. Let w = q + 180195\/29. Let r = w + -104\/261. Which is the nearest to 0.1?  (a) 3\/5  (b) -0.3  (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-70 + 121 + 68)*(1 - 1 + 2*p) to the form w + j*p and give j.\nAnswer: 238","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:57 AM and 12:23 PM?\nAnswer: 386","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 37129 to the power of 1\/2, to the nearest integer?\nAnswer: 193","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 60 and 57360?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let u(t) be the third derivative of 73*t**5\/4 - 2309*t**4\/24 + 8*t**2 + 26*t. Find the second derivative of u(q) wrt q.\nAnswer: 2190","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) -2  (b) -2198  (c) 9  (d) -17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-126)\/(-135) - 36\/45.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -68562 or -67900?\nAnswer: -67900","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Expand (40 - 94 + 46)*(-x**3 - 4 + 4).\nAnswer: 8*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 21314478?\nAnswer: 2, 3, 29, 122497","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in 1\/4 of a week?\nAnswer: 2520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.3 in 4, 2\/15, 20?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 541 a factor of 5690238?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 594231953 to the nearest integer?\nAnswer: 841","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -89 - -96. Sort l, 5, -3, 2 in decreasing order.\nAnswer: l, 5, 2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 625 and 75?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let z(j) = -1818*j - 2. Let w be z(11). Round w to the nearest 10000.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(c) = 3*c**2 + 4*c - 5. Let r(l) = 3*l**2 + 4*l - 6. Suppose 13*b - 10*b = 3*t - 24, -4*b = -2*t + 26. What is b*y(m) + 4*r(m)?\nAnswer: -3*m**2 - 4*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (6*sqrt(336)*2 - sqrt(336) - sqrt(336))\/(sqrt(30)\/(sqrt(40)\/sqrt(4)) + sqrt(432)*-1).\nAnswer: -40*sqrt(7)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*i = 4*i + 2. Suppose -i + 0 = -2*q. Let b(l) = 4*l + 2. Let v(u) be the third derivative of u**4\/24 + 2*u**2 - 4*u. Calculate q*b(r) - 2*v(r).\nAnswer: 2*r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 2720.333 millimeters in micrometers?\nAnswer: 2720333","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 5404089 to the nearest integer?\nAnswer: 175","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let u(x) = 8*x**2 - 2*x - 5. Suppose 14 + 25 = 3*k. Let c(r) = -r**2 + 9 - k*r**2 + 4*r - r**2. What is 6*c(t) + 11*u(t)?\nAnswer: -2*t**2 + 2*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*m - 60 = -2*m. Let x(a) = 4*a + 1. Let u be x(1). Suppose -s + 65 = u. Calculate the greatest common divisor of s and m.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-11)\/220 + (-1304)\/(-480). Let t(h) be the second derivative of y*h**3 + h - 4\/3*h**4 + 0 + 0*h**2. Find the second derivative of t(q) wrt q.\nAnswer: -32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -0.4 * -163.4487\nAnswer: 65.37948","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 18, 187, 480, 903, 1462, 2163?\n\"Answer: w**3 + 56*w**2 - 6*w - 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort -28\/11, 59.9, 129\/5 in increasing order.\nAnswer: -28\/11, 129\/5, 59.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve -310*n + 119*n + 573 = 0 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 2\/(-8) - (-10)\/40. Suppose 40 = -h*d + 5*d. Calculate the least common multiple of 22 and d.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(t) = t**2 - 5*t + 2. Let q be ((-7)\/(315\/(-1494)))\/((-4)\/(-10)). Let d = q - 79. Give j(d).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(d) be the second derivative of d**6\/150 + 12*d**5\/25 + 23*d**4\/30 - 8*d**3\/5 - 47*d**2\/10 + 964*d. Determine w so that b(w) = 0.\nAnswer: -47, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 11002 - -11?\nAnswer: 11020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((n**(-5\/2)\/n**5)**(-2\/19))**(-19\/4))**(-46) assuming n is positive.\nAnswer: n**(345\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 1187097959?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 0.1 or -15\/92?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let q(a) be the first derivative of a**4\/4 + 8*a**3\/3 + 7*a**2\/2 - 7*a - 1. Determine q(-7).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-2)\/(-5))\/((-600)\/125).\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y(a) = a - 7. Give y(-9).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Product of -0.4 and -539.0029.\nAnswer: 215.60116","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is -1 plus 1028529?\nAnswer: 1028528","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (z**(-4\/7)*z**11)\/(z**3\/z*z**(-7)) assuming z is positive.\nAnswer: z**(108\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is -349 divided by -1?\nAnswer: 349","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let i(y) = y**2 + 0*y**2 - y - y**3 + 3*y**2 + 1. Suppose 0 = 2*p + 43 - 55. Suppose 3 = -r + p. Give i(r).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 20*l**2*w**4 + 41*l**2*w - 3*l*w**4 + 2*l*w**2 + 2*l + 631*w**3 - 3*w**2 - 5 wrt w?\nAnswer: 480*l**2*w - 72*l*w + 3786","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -1839, -1861, -1865, -1827, -1723, -1529, -1221?\nAnswer: -775","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Round 14.727 to the nearest integer.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (n**(-17)\/n)\/n*n**(-2\/41)*n assuming n is positive.\nAnswer: n**(-740\/41)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence jav when three letters picked without replacement from jajjcccjjv.\nAnswer: 1\/144","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 17 and 49351?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.000001 to four dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let c(z) = -4*z**2 - 5*z + 9. Let u(x) = 3*x**2 + 5*x - 8. Let k(q) = -q**2 + 7*q - 5. Let p be k(7). Let g(t) = p*c(t) - 6*u(t). Is 12 a factor of g(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2\/5?  (a) 0.3  (b) 5\/4  (c) 6  (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: How many milliseconds are there in 3\/5 of a second?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -19381*r**3 + 146*r**2 + 77*r - 2 wrt r.\nAnswer: -116286","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:22 PM and 6:24 PM?\nAnswer: 302","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let l(o) be the third derivative of -o**4\/24 + o**2. Let w(t) = -5*t. Let d(n) = 34*l(n) - 6*w(n). Let j(r) = r**2 + r**2 - r**2. Give d(j(y)).\nAnswer: -4*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*c - 13*c + 45 = 0. Suppose o - 2*o = -a + 8, c*a = -3*o. What is the smallest common multiple of a and 4?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*n + 1020 = 8*n. Suppose 113 = 5*v + n. Calculate the smallest common multiple of v and 24.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 578 minutes before 7:40 PM?\nAnswer: 10:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Convert 17.9159 millilitres to litres.\nAnswer: 0.0179159","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b(p) = 63*p - 261. Is b(15) a multiple of 57?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 302520200?\nAnswer: 2, 5, 47, 32183","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is -110 times -131?\nAnswer: 14410","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (21296\/66)\/11 + -33 + 4 + 13.\nAnswer: 40\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(d) = -297*d**2 + 4*d - 4. Let m(b) = 303*b**2 - 2*b + 3. Calculate 4*m(t) + 3*o(t).\nAnswer: 321*t**2 + 4*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -20.3 - 1.7. Let u = r - -22.3. Suppose -4*z = z. Which is smaller: u or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine m, given that 2*m**5\/13 - 14*m**4\/13 + 36*m**3\/13 - 40*m**2\/13 + 16*m\/13 = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-10)\/2*16\/10. Calculate the remainder when 98\/7*(-10)\/(-4) is divided by (u\/6)\/(-2)*18.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 8*(-4 - (-36)\/8). Find the second derivative of -2*v + 2*v - a*v - v + v**2 wrt v.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -1*12*(-14)\/18*645\/(-1505)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -i + 5*i - 171 + 135 = 0, 31 = r + 4*i for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let t(s) = 5*s**2 - 4*s + 25. Let m be ((-1)\/(-6)*-14)\/(1\/3). Let x(o) = -9*o**2 + 7*o - 51. Let p(i) = m*t(i) - 4*x(i). Differentiate p(n) with respect to n.\nAnswer: 2*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 153, 260, 367?\nAnswer: 474","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 108, 325, 724, 1335, 2188?\n\"Answer: 5*m**3 + 61*m**2 - m + 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 7086 a multiple of 57?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 14 a factor of 8548134?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let d(y) be the first derivative of -11*y**2\/2 - 6*y + 1147. Let u(t) = -t**2 - 2*t + 2. Let h be u(2). What is the units digit of d(h)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 14145*b**5 - 80*b**2 + 10*b + 1 wrt b.\nAnswer: 848700*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((c*c**(-13)\/c)\/(c*c**(6\/5)*c))\/(((((c\/(c\/(c*c*c*c**0)*c))\/c)\/c)\/c)\/(c\/(c*c\/(c**(-12)\/c)))))**(-40) assuming c is positive.\nAnswer: c**1168","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 6 - 5.6. Let q be ((-9)\/(-6))\/(1\/(-2)). Let y be 1 + (-1)\/(-2)*q. Which is the closest to -0.1?  (a) y  (b) -0.2  (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -2153, -8573, -19265, -34223, -53441, -76913?\n\"Answer: n**3 - 2142*n**2 - n - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l(r) = r**2 - r. Let y(g) be the second derivative of 0 + 1\/2*g**2 + 7\/12*g**4 - 2*g - 4\/3*g**3. Suppose 6*f - 1 + 7 = 0. Give f*y(q) + 6*l(q).\nAnswer: -q**2 + 2*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.024, -141.7, -1\/8 in increasing order.\nAnswer: -141.7, -1\/8, 0.024","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -1354*j*v**3*x**3 + 7*j*x**3 - j*x**2 + 8*j + v**2*x**2 wrt v.\nAnswer: -8124*j*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: -3 + (-44 - (4 + -8)) - -16\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -520, -1171, -2210, -3625, -5404, -7535, -10006, -12805?\n\"Answer: 2*h**3 - 206*h**2 - 47*h - 269","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -7 - -6. Let t be (-2)\/l + (-10)\/15. Which is the third biggest value?  (a) -1  (b) t  (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 6 + -4. Let r(h) = 3*h**w + 0*h**2 + h**2. Let j(v) = -7*v**2 - 3. Let u(c) = 30*c**2 + 13. Let g(n) = 26*j(n) + 6*u(n). Give r(g(k)).\nAnswer: 16*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) -0.07  (b) -6\/11  (c) -13  (d) 0.5  (e) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -k - 2*k = 6, -26 = -2*m + k. Does 8 divide ((m\/(-1))\/6)\/((-1)\/40)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(r) = -2*r. Let m be 4\/10 + 115\/25. Suppose -140 = m*j - 9*j. Let x(w) = 58 + j*w - 12*w - 58. Determine x(z(b)).\nAnswer: -46*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -47\/42 and (12\/1440)\/((-1)\/134) - 0.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 21\/210*(-1)\/(-2)*15.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Put -4, -19, 0, 4 in decreasing order.\nAnswer: 4, 0, -4, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let k(m) = 16*m - 7. Let j(y) = 7*y - 3. Let f(p) = 7*j(p) - 3*k(p). Let o(b) = 7*b**2. Give f(o(a)).\nAnswer: 7*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -48*38\/(-3192) - 554*(-2)\/(-28).\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: 3 (base 10) to base 8\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of 12, -309, -610, -891, -1152, -1393, -1614?\n\"Answer: 10*h**2 - 351*h + 353","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -47 - -48. Let g = -0.8 + 0.8. Let z = 0.5 + g. Which is the third smallest value?  (a) z  (b) s  (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 38 divide 4826?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 47295 and 168255?\nAnswer: 176836005","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*t + 5*w = -838, 86 - 502 = -2*t + 4*w. Is 13 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 9469079 is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: -5209 divided by -5\nAnswer: 5209\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*x - 3 = 3*p - 2*p, x = 3*p + 9. Factor -1\/2*q + x - 1\/2*q**2.\nAnswer: -q*(q + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(t) = -t**2 + 17*t + 19. Let m be w(18). Is 1\/24 at most as big as m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 z and 2 n when three letters picked without replacement from {d: 2, z: 5, i: 2, b: 4, n: 4}?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Sort 241, 84, 3, -3 in decreasing order.\nAnswer: 241, 84, 3, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -743 + 1238. Is q a multiple of 45?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 957*o + 13 = -v + 954*o, 3*o = 4*v + 7 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*a + 3*i + 4 = 0, -2*i = 5*a - 3*i - 16. Suppose -3*t - 5 = -65. Calculate the least common multiple of t and a.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(b) = -6*b - 1. Let y be q(-1). Solve -s = -y*i + 11, -2 = 2*i + 3*s - 3 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -a427 (base 14) in base 6?\nAnswer: -334455","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f(m) = -m + 4. Let r be f(3). Let v = -80 - -123. Sort v, r, -3 in ascending order.\nAnswer: -3, r, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 651 and 24.\nAnswer: 5208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 291276 to the power of 1\/2, to the nearest integer?\nAnswer: 540","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 5\/8158 or 0?\nAnswer: 5\/8158","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 168825*c - 84499*c - 84365*c.\nAnswer: -39*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let c(l) = -4*l - 14. Let d be c(-4). Suppose -u = -3*j + 25, -3*u - 9 = -j - d*u. Calculate the highest common divisor of j and 64.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 796244 and 7124?\nAnswer: 548","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let p(i) = -i**3 + 5*i**2 + 3*i - 2. Let k be 6\/48 + (-507)\/(-104). Determine p(k).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(s) = s**3 + 23*s**2 + 2*s + 64. Let a be l(-23). Solve 7*k + a = k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 1\/10 of a litre?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {c: 2, b: 4, q: 3}. What is prob of picking 2 b and 2 q?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 516c + -2563?\nAnswer: 2a09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -53  (b) 1  (c) 0.03\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -28495*v + 1562 = -28424*v for v.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -23.161 + 0.161. Let v = -27 - s. Which is the nearest to 2?  (a) 1\/4  (b) v  (c) 14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((5 + sqrt(272))**2 - sqrt(17)) + -3.\nAnswer: 39*sqrt(17) + 294","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -3?  (a) 1  (b) -21\/328  (c) -4  (d) -0.2  (e) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 1723 - 1723.07. Put -0.5, y, 1\/27 in descending order.\nAnswer: 1\/27, y, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1291 to the power of 1\/2, to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 v and 1 g when two letters picked without replacement from sgvvfqfsrrfssqssssg.\nAnswer: 4\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -752\/17 or -43?\nAnswer: -752\/17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -g**2*q**2 - 10*g**2 - g*q**2 + 442*g - 9*q**2 - 66*q + 5 wrt g.\nAnswer: -2*g*q**2 - 20*g - q**2 + 442","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((g*g\/(g**(-14\/5)\/g)*g)\/g*g*g)**(-45)\/((g**(1\/21)\/g)\/((g**(-2\/7)*g)\/g)) assuming g is positive.\nAnswer: g**(-1051\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 97.3207 - 0.0207. Let l = s + -103. What is l rounded to zero dps?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many nanograms are there in 9.829822t?\nAnswer: 9829822000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 142730 rounded to the nearest ten thousand?\nAnswer: 140000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: (-4 + 1 - -4) + -3 - (18 + 5)\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let x(i) be the first derivative of -3*i**4\/16 + 3*i**2\/8 + 12. Factor x(v).\nAnswer: -3*v*(v - 1)*(v + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 1157384756?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 189 - 189.2952. Let q = i - -0.29. Round q to three dps.\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {p: 5, t: 8}. What is prob of sequence ptpt?\nAnswer: 28\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*n + 15 = 17 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let v(w) = w + 12. Let x be v(-9). Suppose z - 5*u = 17, -2*u - 3*u - 15 = 0. Sort -5, x, z in increasing order.\nAnswer: -5, z, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -219 + 829 + 546*s**2 + 367*s**2 - 922*s**2 in the form u + w*s**2 + v*s and give w.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: -158878 divided by -130\nAnswer: 79439\/65","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8408 = -41*y + 103317. Calculate the greatest common divisor of y and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence nmn when three letters picked without replacement from nnnmmnmmmmnm.\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 3219 - 16261\/5. Let v = -2148\/65 - f. Which is the nearest to 0.1?  (a) 5  (b) v  (c) 2\/47\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -1 by -6200.\nAnswer: 1\/6200","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: 11 + 1 + 12 - -5\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r(i) = 3*i - 57. Let x(z) = 2*z - 38. Let f(j) = 5*r(j) - 8*x(j). Let w be f(11). Let c(g) = 2*g**2. Let b be c(-1). Solve b*m = -0*m - w for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -8512*c**5 - 3*c**4 + 4*c**2 - 3868?\nAnswer: -510720*c**2 - 72*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let x(s) = -12*s. Let f(k) = 70*k + 552. Let i(p) = -f(p) - 6*x(p). Let j(m) = m. Give j(i(w)).\nAnswer: 2*w - 552","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -76 = -19*x + 15*x + 2*l, 2*x = 3*l + 26. Suppose 0 = -3*u + 171 - 42. What is the remainder when u is divided by x?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 n and 1 w when two letters picked without replacement from {k: 6, j: 1, w: 5, x: 1, n: 1}.\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 74875618 divided by 38.\nAnswer: 1970411","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 434 and 1550?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 114 = 45*w - 43*w. What is the units digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 28\/8*(-4)\/(-7). Let g be -1*(-5)\/(-10)*0. Suppose q*z + 0 - 6 = g. Solve -n = -1 + z for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -26*t + 20 + 6 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (6*d - 10*d - d)*(1 + 4*d**3 - 3*d**2 + 0 - 2) + 2*d**4 - 2*d**4 + d**4 + (2*d**2 - 3*d + 3*d)*(d**2 + 0*d + 0*d) + d**4 - 4*d + 4*d.\nAnswer: -16*d**4 + 15*d**3 + 5*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 425 and 492150?\nAnswer: 425","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Express (2*p - p + p - 1)*(-21138 - 1289*p + 21138) in the form k*p + t + q*p**2 and give k.\nAnswer: 1289","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 41.6 + -41.6. Which is the third smallest value?  (a) -2\/9  (b) r  (c) 11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 15159, 30266, 45373, 60480, 75587?\n\"Answer: 15107*b + 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4 - 2 - 4)*(3 - 2 - 2)*(3*s + 3 - 3).\nAnswer: 30*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Factor -297025*d**4\/8 - 888895*d**3\/8 + 817*d**2 - 3*d\/2.\nAnswer: -d*(d + 3)*(545*d - 2)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*n**5 + 5*n**4 - 10*n**3 = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(136) - -2*sqrt(136)*1 - sqrt(136))\/(sqrt(968) - sqrt(968)*2 - sqrt(8)).\nAnswer: -sqrt(17)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -1825 + 12804\/7. Calculate the common denominator of -1\/3 and x.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*z - 5 - 3. Let r = 20 + -29. Let l = r - -9.5. Which is the second smallest value?  (a) l  (b) z  (c) -3\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 10349334 is divided by 247?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let k(f) = 14*f - 6. Let v be k(5). Suppose 0 = -0*p - 139*p - 1668. Let t = v + p. List the prime factors of t.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -3.48 - -142.48. Let m = f + -142. Sort m, -4, -4\/9, 2\/3.\nAnswer: -4, m, -4\/9, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*r**3 + 434*r**2 - 436*r.\nAnswer: 2*r*(r - 1)*(r + 218)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00050790581 rounded to five decimal places?\nAnswer: 0.00051","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:57 PM and 10:56 PM?\nAnswer: 599","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*g - u + 7 + 2 = 0, 4*g - 12 = -4*u. Factor 2*t**3 + 4*t**3 - 3*t**g - 3*t.\nAnswer: 3*t*(t - 1)*(t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 3122 - 277?\nAnswer: 2734","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let b(p) be the first derivative of p**4 - 176*p**3\/3 + 170*p**2 - 168*p + 47. Factor b(r).\nAnswer: 4*(r - 42)*(r - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -4055327, -8110654, -12165967, -16221260, -20276527, -24331762?\nAnswer: -28386959","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -8 - -14. Let r = -46 - -114. Calculate the lowest common multiple of c and r\/10 - (-16)\/80.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1120 divided by -280\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let a(v) = 25*v - 166. What is a(8)?\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 18*c + 12*c = 38*c + 104 for c.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 5526601 - -4?\nAnswer: 5526605","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is -2.7 minus -42?\nAnswer: 39.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 282022 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is -135202\/1661 equal to -81?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-1615)\/405 + 4)*30\/(-5)?\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ggg when three letters picked without replacement from ggggggggg.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (16 - (146\/6 - 9))*6\/(-34).\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 303388?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 28 - 12*r**5 - 62*r - 28 wrt r.\nAnswer: -240*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(y) be the first derivative of -15*y**2\/2 + 149*y + 187. What is the tens digit of x(-14)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 37852624.\nAnswer: 2, 2365789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 14442*d**2 - 32600 wrt d?\nAnswer: 28884*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 19937 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let v(r) = -10*r + 30. What is v(-6)?\nAnswer: 90","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in 13, 5, -2\/3, 0.4, 3?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*c**2\/9 - 44*c + 280.\nAnswer: -4*(c - 6)*(c + 105)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve -32*t - 43 = -11 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let f(l) = l**3 - 15*l**2 + 9*l - 21. What is the hundreds digit of f(15)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 3\/(((-5)\/(-24))\/5). Suppose 14*x = 65 + 187. What is the greatest common factor of w and x?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*a - f - 5 = -3*a, -4*a - 5*f - 6 = 0. What is the first derivative of -3 + v**4 + 0*v**4 + a wrt v?\nAnswer: 4*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.1944094 to 2 dps.\nAnswer: -0.19","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: -10 (base 6) to base 12\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Put 5, -98, -2 in decreasing order.\nAnswer: 5, -2, -98","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 1742023?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 1615127 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9 = 3*p - 6. Let k(u) = 2*u + u**2 - 7 - 5*u + u + p*u. Determine k(-5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 220107 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1 divided by -48.\nAnswer: 1\/48","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 21590000 rounded to the nearest 1000000?\nAnswer: 22000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 5.64 + -5.54. What is the nearest to x in 0.3, 1, -0.5, -1?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is z in 2*z**5\/9 - 8*z**4 - 4*z**3\/9 + 16*z**2 + 2*z\/9 - 8 = 0?\nAnswer: -1, 1, 36","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 325*a*x - 4*a + 815737*x with respect to a.\nAnswer: 325*x - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:18 AM and 3:13 AM?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let v(m) = 3*m**2 + 115*m + 47. Give v(-38).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 a and 1 p when two letters picked without replacement from uppikaa?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 8\/(-36) + (-4)\/(-180) - 14539575\/(-375)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((m*m**(3\/8)*m)**(-10\/3))**(-11\/6) assuming m is positive.\nAnswer: m**(1045\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Round 44201840 to the nearest ten thousand.\nAnswer: 44200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -h**3 - 2*h**4 - 28 + 27 - 4*h**3 to y*h**4 + j + m*h + s*h**2 + w*h**3 and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 292178256 divided by -2.\nAnswer: -146089128","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1097 = -5*i + 1148. Suppose -3*m = -7*m + 5*d + i, -2*d = -2*m + 224. List the prime factors of m.\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:22 PM and 10:29 PM?\nAnswer: 127","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -t - 10 = t. Let w = 57 - 39. Let f = w + t. What is the tens digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(v) = 6*v - 75. Let r = 11 - -6. Calculate the remainder when r is divided by w(14).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 565646 or 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let t(d) = -15*d**2 + 11*d + 17. Let j(a) be the first derivative of 7*a**3\/3 - 5*a**2\/2 - 8*a - 5. Let v(z) = 13*j(z) + 6*t(z). Factor v(w).\nAnswer: (w - 1)*(w + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 252 - -2255. Does 109 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many seconds are there in 21\/4 of a minute?\nAnswer: 315","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*x = 2*n - 57 - 279, 0 = -4*x + 2*n + 328. What is the remainder when x is divided by 17?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 329\/141*(-36)\/(-7). Suppose -5*a + 28 - 8 = 0. Suppose -4 = -2*q + a. Solve q*t - 4 = d for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 45537?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let t(s) = s**2 + 15*s + 46. Let c be t(-11). Solve -c*l - a + 0*a - 3 = 0, -3*l - 17 = -a for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:40 AM and 2:51 PM?\nAnswer: 371","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 413a7 (base 13) in base 5?\nAnswer: 12221320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Put 0, -1, 13, -1079, 7 in descending order.\nAnswer: 13, 7, 0, -1, -1079","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 134 + 157462\/(-1179) + (-82)\/900*4.\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 97 = 2*v + 3*o, 2*o - 108 - 106 = -4*v. Is v a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(j) = -j**3 + 3*j**2 + 6*j + 14. Give y(4).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 less than 10284748300?\nAnswer: 10284748300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 3876 at most as big as 3794?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: -6450 divided by -645\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve -14712*r - h + 75 = -14718*r, -2*r + 352 = 4*h for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*p - 651 + 663 = 0 for p.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 1823 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 3\/6 - 2\/(-4). Suppose 2*k - s - 30 = -d, -69 = -4*k + 5*d. What is the tens digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -4237\/8466 - -2\/4233. Which is the third biggest value?  (a) 4  (b) s  (c) -0.2  (d) -1\/12  (e) 137\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 515233070 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:33 AM and 1:45 PM?\nAnswer: 432","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1561?  (a) 1  (b) -1\/62  (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2 - 0.54.\nAnswer: -2.54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ssw when three letters picked without replacement from {w: 2, s: 5}?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*j + 13 = -h, 0 = 3*h - 34 + 46 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 10*w - 23 - 27 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -190 = -13*y - 473 + 218. Let j = 0.3 - 0.5. Let p = j - -0.14. What is the second biggest value in 2, y, p, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -28038 = -268*s - 1473*s + 17228 for s.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let s(p) = -p**3 - 1. Let b(t) = 9*t**3 + 4. Let d be (8 - 0) + 17 + -26. Give d*b(a) - 4*s(a).\nAnswer: -5*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 185*m*z**2 - 12*m*z + 1291*m - 39*z**5 wrt z?\nAnswer: 370*m - 780*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let m(d) = -d**2 - 188*d - 2117. What is m(-12)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*w - 14 = -4*o, -2*w = -o - 2*o + 11. Solve -5*m - 5*i = -4*i + 24, 5*m - o*i = 0 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.000099457403 rounded to five decimal places?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 3842305365?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:03 AM and 1:10 PM?\nAnswer: 367","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let f(t) be the first derivative of -69*t**2\/2 - 10*t - 18. Is f(-5) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let 3*f**4 + 1329*f**3 + 199665*f**2 + 10659675*f + 73167000 = 0. What is f?\nAnswer: -145, -8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let r(d) = -d - 24. Let o be r(0). Suppose i - 6*i = 95. Let b = i - o. Let q(a) = a**3 - 6*a**2 + 4*a + 2. Determine q(b).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ellaeeraeeeeelee. What is prob of picking 1 e and 2 a?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let x(r) be the second derivative of -r**8\/1344 + r**7\/84 + r**6\/144 - r**5\/4 - 3*r**4\/2 - 34*r. Let z(c) be the third derivative of x(c). Factor z(g).\nAnswer: -5*(g - 6)*(g - 1)*(g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(m) be the second derivative of m**6\/135 - 2*m**5\/45 - m**4\/9 + 4*m**3\/27 + 5*m**2\/9 + 25*m. Suppose k(w) = 0. What is w?\nAnswer: -1, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = j - 2*p - 6, -j + 16 = j - 5*p. Suppose 2*c - 2 = 4. Let i be (c\/j)\/(4\/(-24)). Calculate the greatest common factor of 3 and i.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*u + 63 + 57. Let w be 6\/(u\/20) + -3. What is the tens digit of 49 - -5 - 6\/w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (228*f - 384 + 384)*(4*f**2 - 1 + 1) + (3 + 3 - 4)*(4*f**3 - 2*f**3 - 3*f**3).\nAnswer: 910*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: -5 - (101 + -106 + (-1 - -15))\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-1 - 65\/(-120))*2616\/(-16). Which is bigger: 75 or s?\nAnswer: 75","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 7\/23349 and 73\/225186?\nAnswer: 1752622638","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 508 minutes before 8:16 AM?\nAnswer: 11:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let a(f) = f + 5. Let p(d) = 10*d + 27. Let c(j) = -9*j - 26. Let m(g) = 6*c(g) + 5*p(g). What is -26*a(y) - 6*m(y)?\nAnswer: -2*y - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Convert 7955.182l to millilitres.\nAnswer: 7955182","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 30719473067 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 12 - (7 - 9 - -9 - 2) - 6.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 748838604?\nAnswer: 2, 3, 31, 1129, 1783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let i(c) = -c**2 + 8*c + 6. Give i(7).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.1?  (a) 3  (b) -54  (c) 4  (d) -2\/11  (e) 9452\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let l(v) be the first derivative of 20*v**3\/3 - 6*v**2 - 15*v - 10. Is l(-8) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*l = 4*l. Solve l = -4*g + 5*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(t) be the first derivative of t**4\/4 + t**3 + t**2\/2 + t + 2. Let l be d(3). Let i = 88 - l. Calculate the greatest common factor of 15 and i.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence cc when two letters picked without replacement from ccccc.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 6153 - 6157. Let o be ((-10)\/75*-5)\/(-3). Suppose -5 = -h + 2*d, -h + d = 2*h - 25. What is the nearest to -1\/4 in o, l, h?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -2125 + 2128. Factor 0 - 2\/19*w**2 - 2\/19*w**k + 2\/19*w + 2\/19*w**4.\nAnswer: 2*w*(w - 1)**2*(w + 1)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 111931 to the nearest integer?\nAnswer: 335","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -11 = 6*b - 5*b. Let y = -11 - b. Solve 0 = -2*u, y = -a + u + 3*u for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 5909?\nAnswer: 19, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3 + -2*(-1 + (sqrt(1900) - sqrt(1900)*-2)*6) + (((2*1*sqrt(1900))**2 - sqrt(1900)) + -1)*3.\nAnswer: -390*sqrt(19) + 22796","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: 10882 times -0.3\nAnswer: -3264.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let r(c) = 467*c + 2. Let w(j) = -78*j - 1. Let a(p) = -5*r(p) - 30*w(p). Give a(9).\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -2024175\/46 at most -44005?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -12161520 divided by -1778.\nAnswer: 6840","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 2713 - 1591. Calculate the greatest common divisor of a and 48.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:42 PM and 4:42 AM?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let t(g) = -37*g**3 - g**2 + 1. What are the prime factors of t(-1)?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 46, 142, 304, 532, 826, 1186, 1612?\nAnswer: 2104","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*s = -3*p + 240, -2*s + p + 600 = 3*s. Suppose -2*d = 2*d - s. Does 15 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(r) = 9068*r - 1178638. Give y(130).\nAnswer: 202","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1414?\nAnswer: 2, 7, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Does -29\/44350 = 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 2979 - 2916. Calculate the smallest common multiple of 2565 and p.\nAnswer: 17955","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -85, 9, -11 in descending order.\nAnswer: 9, -11, -85","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -29*m - 178533 + 62863 = -39*m. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0 in 3, -0.2, -8, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is -1316.9429 rounded to the nearest 100?\nAnswer: -1300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 12 + 11 + 3 + 1?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-21 + 54 - 89) + 60.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort 14, -50, 822, 1 in increasing order.\nAnswer: -50, 1, 14, 822","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.01397 rounded to four dps?\nAnswer: -0.014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 2711610 and 31042.\nAnswer: 1826","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1591026?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in -0.2, -5, 2.1, 1, -3\/4?\nAnswer: 2.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Round -35951.48514 to the nearest integer.\nAnswer: -35951","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(208) - (sqrt(208) - sqrt(208)*-2)**2) + 0 + (sqrt(156)\/sqrt(12))**2.\nAnswer: -1859 + 4*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -26 + 23. Let l = 15 + c. Does 6 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(h) be the second derivative of -h**6\/10 + 5*h**2\/2 + h. Differentiate t(w) with respect to w.\nAnswer: -12*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 378516719 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.6323846 decades to years.\nAnswer: 6.323846","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let c(a) = -a - 20. Give c(-16).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 9 + 11. Let o = i - 20.2. Sort 13, -1, o.\nAnswer: -1, o, 13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -508 - -525. Which is the third biggest value?  (a) 4  (b) j  (c) 0.11  (d) 2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 1eb + 7?\nAnswer: 203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -4.99 + -0.01. Let l = 7.09 + -0.09. Let f = l + z. Which is the nearest to -1?  (a) -0.4  (b) -5  (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 17 + 1*(-2)\/2. Let k(x) = x + 4. Let z be k(-2). What is the highest common divisor of z and o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:03 AM and 9:50 AM?\nAnswer: 467","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Work out -102539 * 1693.\nAnswer: -173598527","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 54\/(-4)*160\/(-360)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (21\/(-9))\/((-10)\/(-42)). Let f = 172\/15 + c. What is the nearest to 0.1 in 3, f, -5?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*g**2 + 6*g**2 - 5*g**2)*(-2 + g**3 + 2) + 344*g**5 + 340*g**5 - 687*g**5 - 89*g**3 - 2*g**5 + g**4 - g**4.\nAnswer: -6*g**5 - 89*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1\/1237?  (a) 542  (b) -1\/6  (c) 1\/3  (d) 3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 2208 and 207.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Convert -3215010 (base 6) to base 9.\nAnswer: -260536","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 273*g + g**2 - g**4 + 1 - 134*g - 140*g + 2*g**3 to q*g**3 + j*g**4 + u*g + l + o*g**2 and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -0.21  (b) 3\/4  (c) -0.3  (d) -28\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 7\/4 of a century in years?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (m*m**(-14\/9))\/(m\/m**(-6\/11))*(m**1*m)\/m**(-3\/5) assuming m is positive.\nAnswer: m**(247\/495)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 10803053 + 0?\nAnswer: 10803053","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (4 - (7 + -3))\/((-2)\/2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*j**2 - 275466*j - 275469.\nAnswer: 3*(j - 91823)*(j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 9348*f**3 - 118*f**2 - 62.\nAnswer: 56088","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1 in 216, 2, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: How many micrograms are there in 1\/5 of a milligram?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((3*sqrt(76)*-2 - sqrt(76)) + sqrt(76) - (sqrt(76)*-2*-5 + sqrt(76) + sqrt(76)))\/((sqrt(4) + sqrt(20)\/(sqrt(20)\/sqrt(4)))*6)*3)**2 + 0.\nAnswer: 1539\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 407 + -309. What is the remainder when p is divided by 29?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -20784.9 times -0.4?\nAnswer: 8313.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Factor -5*d**4 + 100*d**3 + 5135*d**2 + 38870*d.\nAnswer: -5*d*(d - 46)*(d + 13)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let l(d) = -d**2 - 551*d + 10244. Determine l(18).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 2 + -2. Suppose q*f - 21 = -3*f. Suppose 0 = 12*d - f*d. Solve d = 2*r - v - 4*v + 5, 5*v = -4*r + 5 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 72*i = -848 + 920. Let x(w) = -3*w**3 - w**2 + 4*w - 4. Determine x(i).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 1518537 or 1518566?\nAnswer: 1518566","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.4?  (a) 0.91  (b) -1  (c) -5  (d) 17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 449413 is divided by 49934.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.1?  (a) -0.057  (b) -48  (c) 4\/7  (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 1  (b) -14\/3  (c) -0.2  (d) -1.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -42, -58, -84, -120, -166?\nAnswer: -222","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 z and 3 o when four letters picked without replacement from {e: 1, z: 2, o: 9, q: 2}?\nAnswer: 24\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00000012959708 rounded to 7 dps?\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Express -1891*s**2 - 1810 + 3873*s**2 + 1808 - 2*s**3 in the form m + d*s + n*s**3 + g*s**2 and give g.\nAnswer: 1982","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange s**2 - s**2 + 5*s**2 + 2 + 3*s**2 + 2*s**3 to the form m*s**3 + p*s**2 + q + y*s and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let c(b) = b**2 + 2. Let i = -5 - -5. Let y be c(i). Suppose 5*a - 7 - 13 = 0. Solve -f - y*j + 4 = 0, 5 = a*j - 7 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 11771 is divided by 36?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -1 - -3. Let m be (k + -3)\/(10\/4). Let r = 55\/4 - 14. Which is the nearest to r?  (a) 2\/11  (b) -4  (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 3*b + b**2 + 34 - 36 + 2*b**2 in the form j + i*b**2 + o*b and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from nnsehnnnn. Give prob of sequence hne.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -83 or -56583?\nAnswer: -83","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -6619.2 - -6619. Which is the biggest value?  (a) -1\/6  (b) u  (c) 1\/68  (d) 1\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 8*r**4 - 2004*r**3 - 119245*r**2.\nAnswer: 192*r - 12024","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let v(g) = -g**2 - 8*g - 8. Let p be v(-8). What is the tens digit of (55\/(-22))\/(2\/p)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*w = -6*u + u + 192, 2*u + w - 82 = 0. Suppose -3*s + 16 = -2*s. Calculate the highest common factor of u and s.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 5 + 9 - 4*x + 2*x - 119*x + 129*x - 28 + 9 + (2 - 1 - 3)*(x - x + x) to the form h*x + q and give q.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let k(t) be the first derivative of 0*t**3 - 3\/2*t**2 - 14*t + 47\/4*t**4 + 89. Find the first derivative of k(d) wrt d.\nAnswer: 141*d**2 - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -56, 3, -25, -2, -3, 0 in descending order.\nAnswer: 3, 0, -2, -3, -25, -56","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -43877 = -102*t + 45271. Does 19 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(l) = l**3 - 3*l - 4. Let i be z(-4). Let g = -36 - i. Let p = 10 + 6. Calculate the least common multiple of g and p.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 56\/(-672)*-312*(-2)\/16.\nAnswer: -13\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Put together 227 and -21119.\nAnswer: -20892","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: 36a3 (base 11) to base 16\nAnswer: 12e0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u(h) = -140*h - 528. What is the remainder when u(-5) is divided by (-141)\/(-4) + 1\/(-4)?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1154?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -52 + -6a8974?\nAnswer: -6a8a16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 3 + -3. Suppose u*i = 3*i - 63. Is (-6)\/i + (-592)\/(-14) a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -1472 + 1920.2. Round a to the nearest ten.\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 333, 0.2, 3, 2\/7, -2\/13 in ascending order.\nAnswer: -2\/13, 0.2, 2\/7, 3, 333","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let y(v) = -2*v + 71. What is y(8)?\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Round -5821444 to the nearest ten thousand.\nAnswer: -5820000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) -0.5  (b) 2  (c) -41912  (d) 49.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5 - 2*s**3 + 5)*(0*s - 2*s**2 + 0*s) - 23057*s**5 - 461*s**5 - 6963*s**5.\nAnswer: -30477*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4 + (sqrt(40)\/(sqrt(5) - sqrt(20)))\/(sqrt(448)\/sqrt(7)).\nAnswer: -4 - sqrt(2)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Put 226, 3, 5 in ascending order.\nAnswer: 3, 5, 226","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1763159 is divided by 6704?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2 (base 7) to base 16.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w(n) be the first derivative of -n**3 + n**2\/2 + n + 19. Suppose 0 = -4*g - 0 - 8. Determine w(g).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1\/2 in -0.41, 4, 241, 26?\nAnswer: -0.41","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ks when two letters picked without replacement from {g: 4, k: 1, s: 2}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let x(s) = 27*s**2 + 559*s - 751. Determine x(-22).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -13\/6 + 5\/3. What is the nearest to 1\/3 in -0.4, 0.4, r?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 9258657 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let g(q) = -2*q**2 - 7*q - 3. Let y(f) be the third derivative of f**5\/60 + f**4\/8 + f**3\/6 + 12*f**2. Let m be (-7)\/4*(-12)\/(-3). Give m*y(o) - 3*g(o).\nAnswer: -o**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 49389164 is divided by 24694550.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 156874, 313749, 470624, 627499, 784374, 941249?\n\"Answer: 156875*b - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Divide -410 by 5.\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 5574171 is divided by 4438?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.7?  (a) 6639  (b) -5  (c) 0.1  (d) 12.99\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 16 - 13. Suppose j*i - 4*i = 0. Suppose i = 7*d - 6*d + 1. Is -3 less than d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -4 divided by -8572?\nAnswer: 1\/2143","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 0.03 - 0.23. Let q = 0.9 + -0.8. Which is the closest to q?  (a) 6\/7  (b) 0.5  (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-1)\/3 + (-48)\/(-9). Let m be 5*2\/o + 1. Suppose -26 = -m*l + 13. What are the prime factors of l?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 501 minutes before 1:39 AM?\nAnswer: 5:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -267 - -267. Put x, -2, 1, -6 in decreasing order.\nAnswer: 1, x, -2, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (13*q + 11*q - 10*q)*(0 + 1 + 2)*(30 - 28 + q - 10*q) to r + i*q**2 + x*q and give i.\nAnswer: -378","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (34\/(-5185))\/((-12)\/(-45))*(-4)\/(-9)?\nAnswer: -2\/183","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 3\/7?  (a) -2\/7  (b) -0.2  (c) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -90 + 387 = 297*j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -10 and 21.\nAnswer: -210","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in four thirds of a year?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -0*u - 2*u + 10. Solve -3*x - 2*p + 14 = 0, -3*x - u*p + 11 = -15 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(c) be the third derivative of c**6\/120 + c**5\/6 + 17*c**4\/24 - 13*c**3\/6 + 582*c**2 - 1. Calculate w(-8).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be ((-362)\/(-70) - (-76)\/(-133)) + -5. Sort -4, 1, 2, d.\nAnswer: -4, d, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add 0.11 and 26.\nAnswer: 26.11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let x be ((-2)\/4)\/(4\/8). Let v be x\/((1\/(-1))\/3). Suppose 0 = -w + 5*p + 5, -5*w - p + v*p = -25. What is the units digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(j) = -1196*j**3 - 115*j**2 - 230*j + 115. Let o(a) = 21*a**3 + 2*a**2 + 4*a - 2. What is -2*c(r) - 115*o(r)?\nAnswer: -23*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Convert 827.468us to nanoseconds.\nAnswer: 827468","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 724167 is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let t(r) = -r**2 - r + 2. Let j(i) = -4*i**2 - 2*i + 7. Let q(k) = -3*k**2 - k + 6. Let v(h) = 4*j(h) - 6*q(h). Let g(d) = t(d) + v(d). Calculate g(5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 303738 to the power of 1\/2, to the nearest integer?\nAnswer: 551","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve 238*d + 610 + 307 = -749 for d.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -664 - -664. Suppose w = 7*d - 1103 - 612. What is the units digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 254512 and 64?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*j = b + 60, -4*j + 77 = -4*b - 51. Let d be 126\/j*(4 - -2). What is the closest to -0.3 in 0, d, 1\/4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-5*sqrt(44)\/(sqrt(99)*-5))\/(sqrt(1800)*2 + (sqrt(200)*-2 - sqrt(200))))**2.\nAnswer: 1\/4050","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 806 - v - 401 - 405.\nAnswer: -v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2174*l - 2182*l + 200 = 0. What is the highest common factor of l and 725?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 111451 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*j - 1 - 1 + 2*j)*(0*j**4 + 4*j**4 - 2*j**4)*(-10 - 6 + 5)*(-152 + 77 - 72).\nAnswer: -3234*j**5 - 6468*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve -14*f + 22870 = 22632 for f.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 77*m + 40 = 69*m. Let i = -22 + 24. Suppose 3*s = -3*l - 18, -3*l - 48 = i*s - 5*s. Are l and m non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:17 PM and 4:46 PM?\nAnswer: 149","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Round 124.975 to the nearest 10.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 18 + -17 + -6 - 80*(-2)\/(-4).\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2840*q - 985050 = 10294*q for q.\nAnswer: -75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 535860 divided by 2748?\nAnswer: 195","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*h + 1 = -4*v, 5*h + 15 - 5 = 5*v for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 85 a factor of 1798159?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -63 - -59. Let d be (-2)\/h*86 - 4. Calculate the highest common factor of d and 26.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 277246399 to the power of 1\/3, to the nearest integer?\nAnswer: 652","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4148 = -28*y - 4232. Let r(o) be the first derivative of o**3\/3 + o**2\/2 - 2*o + 2. What is r(y)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 612 minutes before 3:53 PM?\nAnswer: 5:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Add together -0.09414 and -3.\nAnswer: -3.09414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -26, -160, -390, -722, -1162, -1716, -2390, -3190?\nAnswer: -4122","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (57 - 16 - -1) + (-8 - -19)?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 15158 - 15153. Sort -1, k, 42\/17, 0.9 in descending order.\nAnswer: k, 42\/17, 0.9, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 6509 by 283.\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 18799636 to the power of 1\/3, to the nearest integer?\nAnswer: 266","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -3353 - -3353. Put -4, g, 0.4, 0.5 in increasing order.\nAnswer: -4, g, 0.4, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (231 - 26*q - 231)*((3 - 6 + 5)*(-2 - 6 + 5) + 3 + 0 - 1).\nAnswer: 104*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (a**(-8\/5)*(a*a\/((a**14*a)\/a))\/a*a)**14\/(a**2*a**(-6\/11)*(a\/a**9)\/(a\/(((a*a\/(a\/a**(-6)))\/a)\/a))) assuming a is positive.\nAnswer: a**(-9672\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 152\/3*(119925\/52)\/25.\nAnswer: 2, 3, 19, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(c) = 2*c - 6. Let u be n(4). Calculate the remainder when 13 is divided by 3 + (-2*u)\/(-2).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -26797, -26785, -26771, -26755, -26737, -26717?\n\"Answer: c**2 + 9*c - 26807","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of -19, -15, -9, -1, 9, 21?\n\"Answer: t**2 + t - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, 40, 5, 1, 9 in decreasing order.\nAnswer: 40, 9, 5, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1*(5 + ((-2*sqrt(76)*5 - sqrt(76)) + sqrt(76) + (sqrt(76) - 6*(sqrt(76)*-2 - sqrt(76))))\/(((sqrt(64) - 3*sqrt(64)) + sqrt(64) + sqrt(4))*-6)).\nAnswer: sqrt(19)\/2 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -30145577 - -3?\nAnswer: -30145574","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: 181*-0.5\nAnswer: -90.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let 8898*k**4 - 26199*k**3 + 25209*k**2 - 7413*k - 495 = 0. Calculate k.\nAnswer: -165\/2966, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 2480?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 61418*i**4*s - s - 11150 wrt i?\nAnswer: 245672*i**3*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 102202221 (base 3) in base 7?\nAnswer: 34012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:30 PM and 1:13 AM?\nAnswer: 583","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Factor -26*m**2\/17 - 8*m\/17.\nAnswer: -2*m*(13*m + 4)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -d + 4, 5*m - 29 = 3*d + 539. Suppose -5*q + m + 49 = 0. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 726108?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let h(t) = -34*t - 22. Let x(q) = -23*q - 15. Give 5*h(d) - 7*x(d).\nAnswer: -9*d - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 6324, 6472, 6620?\n\"Answer: 148*q + 6176","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 745 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: -408 (base 9) to base 5\nAnswer: -2312","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 21 a factor of 3062?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 495857761?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 372\/13 in -41, -4\/5, -1, -2, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1\/4?  (a) -368  (b) 0  (c) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let j(r) = -r**3 + 82*r**2 + 86*r - 249. Let q be j(83). Solve 5*b + 19 = -4*w - 0, 5*w + 5 = q for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4109569 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 29\/330 + 2\/165. Let w(f) be the second derivative of -f**3 - f**2 + f - d*f**5 - 1\/2*f**4 + 0. Factor w(x).\nAnswer: -2*(x + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of -605283, -2421116, -5447503, -9684444, -15131939, -21789988?\n\"Answer: -605277*d**2 - 2*d - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -81 - -162. List the prime factors of g.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 49?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Work out 366.7 * 105469.\nAnswer: 38675482.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2339007176?\nAnswer: 2, 11, 26579627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 3329 and 1174?\nAnswer: 3908246","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 7250363 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: Is 197641741 a multiple of 407?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -187 + 35?\nAnswer: -152","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 1329.20136 seconds in days?\nAnswer: 0.015384275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f(x) = -x**2 + 25*x + 18. Let a be f(16). Suppose -19*b = -16*b - a. Calculate the greatest common factor of 18 and b.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -7 - -7. Let 5*j**3 + f*j**3 - 3*j**3 - 5*j + 3*j**3 + 20*j**2 - 20 = 0. Calculate j.\nAnswer: -4, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the sixth biggest value?  (a) -2\/23  (b) 14  (c) 0.4  (d) -8  (e) 0.5  (f) 6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is -5578 (base 16) in base 10?\nAnswer: -21880","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i(y) = 6*y - 20. Let n be i(4). What is the second biggest value in n, 2\/15, -1, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(k) = -28345*k**2 + 1133801*k - 50. Give g(40).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 133\/5 - 27. Let h = -5 - -5.4. Which is the third smallest value?  (a) k  (b) h  (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 15 - 14.4. Which is the nearest to -0.8?  (a) s  (b) 3  (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 13 + -16?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -18746 or -18737?\nAnswer: -18746","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-71*g - 120*g + 63*g)*(4 + 2*g - 4)*(-13*g + g + 0*g).\nAnswer: 3072*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let l(q) = q**3 - 6*q**2 - 8*q + 5. Let w(b) = -b - 1. Let p be w(-8). Let z be l(p). Let n be (z + 1)\/(9\/63). Which is smaller: -5 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -472 - -3951. What are the prime factors of u?\nAnswer: 7, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -6978795124.6 - 0.111?\nAnswer: -6978795124.711","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let y(m) = m - 1. Let b be 1\/(-2 - 18\/(-10)). Let o(p) be the third derivative of -p**4\/4 + 7*p**3\/6 + 26*p**2. Determine b*y(a) - o(a).\nAnswer: a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0 in 0.3, -5, -34, 7, 2.7?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 5362143?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 103647 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 10134 and 4542.\nAnswer: 7671438","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -2\/87 in -5, 5, 20, 4, -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: -431 (base 6) to base 5\nAnswer: -1123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 2\/(2\/(8\/(-6))). Let p = 407792 + -407793. What is the closest to p in 5, -1\/4, 3, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(t) = -7*t + 167. Let d be v(21). Solve -2*z - 8*z = -d for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*d - 2*d = -65. Let j = d + 18. Let p be 1 - -1 - (-6)\/(-12). Which is the nearest to 2?  (a) p  (b) -3  (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1.4*1165.1\nAnswer: 1631.14","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let s(x) be the third derivative of -8561*x**6\/120 - 1645*x**4\/24 - x**3\/6 - 1291*x**2. Find the second derivative of s(j) wrt j.\nAnswer: -51366*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is j in 3*j**2\/2 + 1612497*j - 9675036 = 0?\nAnswer: -1075004, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Factor -89170249*m**3\/5 + 980816081*m**2\/5 + 623229*m\/5 + 99\/5.\nAnswer: -(m - 11)*(9443*m + 3)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 574887103 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 20, 37, 42, 29, -8, -75?\n\"Answer: -t**3 + 24*t - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -19\/30 + 4\/5. Let h = -1646147\/120 - -68587\/5. Let g = h + 5\/8. Which is the closest to 5\/7?  (a) 0  (b) g  (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-252030)\/(-6775))\/((-8)\/20).\nAnswer: -93","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 525 + -519. Let s(r) be the second derivative of -r**5\/60 + r**4\/3 - 2*r**3\/3 + r**2\/2 - 3*r. Let m(k) be the first derivative of s(k). Calculate m(c).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 6 a factor of 12506?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Put -6, 15, 1\/3 in decreasing order.\nAnswer: 15, 1\/3, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 130297.\nAnswer: 29, 4493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Convert 6.172914 milligrams to kilograms.\nAnswer: 0.000006172914","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 38122649?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 76?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve 9882*r - 9878*r + 57 = 5*t, -3*t = 3*r - 18 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*v = -51 + 11. Let o(n) = 3*n**2 - 1. Let w(g) = 3*g**2 - 3*g**2 + 4*g**2 - 3*g**2. What is v*w(u) + 3*o(u)?\nAnswer: u**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -10.15 - -0.15. Let p = 9.8 + f. Let x = p - -0.1. What is the closest to 0.1 in -0.4, x, -2?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -20*h**2 + 221 - 5*h**2 - 218 to n*h**2 + x*h + w and give w.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-44)\/(-48) - -10*(-1)\/40. Factor 0 - 10\/3*a**3 + 0*a + x*a**4 + 8\/3*a**2.\nAnswer: 2*a**2*(a - 4)*(a - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -5 - 7019*a + 17092*a - 8472*a as v*a + l and give l.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {m: 2, z: 6, v: 7, f: 1, b: 2, r: 1}. Give prob of sequence vf.\nAnswer: 7\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose h - 2*m = -4*h - 26, 3*m = h. Let o(y) = -4*y**2 + 4*y. Let t be o(h). Let i = t - -287. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (j**(1\/2)*j\/(j*j*(j*j*j\/(j\/(j\/(j**(-13)*j))))\/j*j))\/((j\/(j*j\/j**6)*j)\/j)**(-4\/17) assuming j is positive.\nAnswer: j**(-487\/34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Expand (800 - 800 + 275*z**3)*(-2 - 3 + 3)*(2*z**2 - z + z).\nAnswer: -1100*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 810 and 953930.\nAnswer: 77268330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 18 and 12.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*i + 39 = -4*o - 9*i, 0 = 2*o + 4*i + 24. Let d be (-7 + 6)\/(o\/(-4)). What is the smallest value in 0, 5, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(s) = -2*s - 665. Let h(t) be the third derivative of t**5\/60 + 2*t**2 + 67. Give z(h(j)).\nAnswer: -2*j**2 - 665","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -158 - 6*q**2 - 168 - 10*q**2 + 502 - 175.\nAnswer: -16*q**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1104\/(-714) - 138\/(-1173)?\nAnswer: -10\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0000006 rounded to 4 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 46494 is divided by 2703?\nAnswer: 543","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*d + 5*d - 16. What is the greatest common divisor of 8 and d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -10 - 301?\nAnswer: -311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 2\/3  (b) -33  (c) 24\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 144 (base 11) in base 14?\nAnswer: c1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -55, -22, 47, 170, 365, 650, 1043, 1562?\n\"Answer: 3*c**3 + 12*c - 70","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 4347, 14958, 38073, 79944, 146823?\nAnswer: 244962","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*s**3 + 2*s**3 - 3*s**3)*(3 - 3 + 2*s) + 5*s - 5*s + s**4 + (0*s**3 - s**3 + 0*s**3)*(2*s - s - 3*s) + s**4 + 17 - 17.\nAnswer: 6*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -1.69 - -1.49. Which is the closest to 0.1?  (a) w  (b) 3  (c) -1  (d) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 10\/2*240\/(-5000)?\nAnswer: -6\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is (1 - (9 - (4 - 0))) + (-56 - -59)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -123.214 + 0.214. Let y = t - -123.1. Suppose -4*i = -3*n - 2*i - 43, i = -5*n - 63. Which is the closest to -0.1?  (a) 0.3  (b) y  (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 3 + 2*q**4 - 3 + (q**2 + 4 - 4)*(0*q**2 + 9*q**2 + 0*q**2) to p*q**2 + n + u*q + j*q**4 + w*q**3 and give j.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 208962 and 126.\nAnswer: 1462734","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of ((-781)\/(-88))\/((-2)\/4) and -8\/11.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-1914)\/(-3828))\/((-59)\/(-4))\nAnswer: 2\/59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((h**(1\/4)*h)**(-31)*(h**1\/h)**(-9))\/(((h*h**(-3\/7)*h)\/h**4)\/(h\/h**(1\/3))**(-46)) assuming h is positive.\nAnswer: h**(-5627\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 58  (b) -341  (c) -0.4  (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:48 PM and 2:48 AM?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:18 AM and 5:01 PM?\nAnswer: 463","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve -7*c**3\/3 - 7037*c**2\/3 + 79256*c + 22836 = 0 for c.\nAnswer: -1038, -2\/7, 33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -118 - -113. What is the second biggest value in 1, -3\/7, p, -2?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -13*u + 17*u - 5*k + 107, 3*u - 354 = -k - 420 for u.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (15 + -2 + -3 - 2) + (-698 - -714).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h(m) = m - 3. Suppose r - 3*c = 4, -2*r - 5*c + 20 = 3*r. Give h(r).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (f**(1\/16))**(2\/85) assuming f is positive.\nAnswer: f**(1\/680)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 16761 - 16761. Find d, given that 2\/9*d**4 - 10\/9*d**2 + n - 2\/9*d**3 - 2\/3*d = 0.\nAnswer: -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(d) = d. What is k(-2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, -5, 1 in decreasing order.\nAnswer: 1, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 41832947 is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 40\/35*245\/(-210)?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*f - 12*f + 32. Find the first derivative of 15 + 19*b**3 + 9*b**f - 6*b**4 - 16*b**4 - 21*b**3 wrt b.\nAnswer: -52*b**3 - 6*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 91544933 to the nearest integer?\nAnswer: 451","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let a(l) = l**2 + 6*l + 2. Calculate a(-3).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let h(r) be the second derivative of r**7\/42 + 13*r**4\/12 - 9*r**3\/2 - 3*r**2 + 640*r. What is the second derivative of h(n) wrt n?\nAnswer: 20*n**3 + 26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(y) = y**2 + 11*y + 100. Is 24 a factor of s(-31)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(p) be the second derivative of p**5\/40 + 5*p**4\/48 + p**3\/24 - p**2\/4 - p. Let b(h) = 0. What is h?\nAnswer: -2, -1, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(t) = 2*t**3 - 18*t**2 + 31*t - 285. What is z(9)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 56, 5, -220, -733, -1648, -3079, -5140?\nAnswer: -7945","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*d + 17 = 3*l, -2*d + 8 = 5*l + 3. Suppose 3*f - 4*f = -3. Suppose d - f = x. What is the units digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(w) = -551*w + 27. Let f(g) = 6. What is -4*f(s) + r(s)?\nAnswer: -551*s + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: -52339 times 0.4\nAnswer: -20935.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 20935*d**3 + 89426.\nAnswer: 62805*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1410463438.\nAnswer: 2, 705231719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {x: 1, m: 8, s: 2, b: 1, w: 1, a: 3}. Give prob of picking 1 x, 1 a, and 1 s.\nAnswer: 3\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 1081 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) -3  (b) 5  (c) -1  (d) -2\/23  (e) 0.2  (f) 98\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let g(c) = -7*c**3 + 10*c**2 - 9*c. Suppose -2*t + v = -3, 5*t + 5*v = 7 + 23. Let d(l) = -2*l**3 - l**2 + l. Let z(x) = t*d(x) - g(x). Factor z(s).\nAnswer: s*(s - 12)*(s - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 223 minutes after 3:16 AM?\nAnswer: 6:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((o\/(o*(o**7\/o)\/o))\/(o\/o**5))**(-11\/3))**(-4\/39) assuming o is positive.\nAnswer: o**(-44\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose s = 2*q - 13, -q + 5 = -s - 2. Suppose q*u = 3*u. Is -1\/8 less than or equal to u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*i + 2*b - 5*b - 324 = 0, -4*b = -5*i + 322. Let g(r) = -r**3 - 17*r**2 + 6. Let q be g(-17). What is the highest common divisor of i and q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*m - 6 = -0*m. List the prime factors of -3 + m*(-15)\/9.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in 0.2181737 centuries?\nAnswer: 21.81737","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a be ((-2704)\/20)\/((-10)\/25). Calculate the greatest common factor of 52 and a.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 237676?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -220059, -220087, -220115, -220143, -220171?\n\"Answer: -28*j - 220031","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is -1582612 bigger than -142?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let n(s) = 3*s - 82. Let p(y) = 8 - 2*y + 18 - 5 + 21. Let z(o) = 3*n(o) + 5*p(o). Find the first derivative of z(f) wrt f.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(x) = 4*x**3 - 2*x**2 + 1. Suppose 49 = -0*j - j. Let r = j + 45. Let u(o) = -2*o - 9. Let b be u(r). Determine k(b).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 4781.51878 rounded to the nearest 1000?\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let a(v) = -v**3 + v. Let n(k) = -2*k**3 + 2*k**2 + 5*k + 1. Let l(x) = -a(x) + n(x). Let h be l(3). Solve h*z - 8 = 0, 2*b = 4*z - 13 + 3 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -21221, -21224, -21227, -21230, -21233, -21236?\n\"Answer: -3*v - 21218","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 1357873 plus -185693?\nAnswer: 1172180","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let 287*a**3 - 150*a**3 + 185*a**2 - 170*a - 152*a**3 = 0. What is a?\nAnswer: 0, 1, 34\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*b + 1003 = 2*r + 5*b, 5*b - 15 = 0. Let q = r - 4438\/9. What is the common denominator of q and (-6)\/27 + (-542)\/72?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(s) be the third derivative of 5\/6*s**4 + 0*s + 37*s**2 - 1\/60*s**5 + 1 + 0*s**3. Let f(j) = -3*j. What is f(m(g))?\nAnswer: 3*g**2 - 60*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 0  (b) -42\/55  (c) -0.0989\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Determine v so that v**4 + 342040*v**3 - 2052268*v**2 + 2736368*v = 0.\nAnswer: -342046, 0, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -2\/31013 - 2512015\/589247. Which is smaller: s or -3?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 6.4338 + -6.3338. Let p be (-5)\/15 - (-10)\/12. Which is the closest to r?  (a) 0.2  (b) 12  (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -882 + 1140. Suppose h = -13*b + 323. Let 44\/5*s**2 + 14\/5*s**4 + 36\/5*s**3 + 26\/5*s + 2\/5*s**b + 6\/5 = 0. What is s?\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -31 + 34. Which is the second biggest value?  (a) k  (b) 1.6  (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(s) = -s + 59. Let c be j(6). Suppose w - c - 567 = 0. What are the prime factors of w?\nAnswer: 2, 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (r**(-2)*r**(-3))**(2\/97) assuming r is positive.\nAnswer: r**(-10\/97)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let b(a) = -11*a + 2. Let j be b(-2). What is the highest common factor of j and 72?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:29 AM and 11:21 AM?\nAnswer: 652","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1205*h - 45828 - 57122 = 245*h for h.\nAnswer: -71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-2 - (36 + (-6 - (5 + -14 - 4)))) + 8.\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -3*f - 4*u - 1, 0*u - 5*u = 5*f - 5 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -21 - (56 - (-10 - -74))?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-18)\/6 - (-2 + -1). Suppose 17*o = -27 - 143. Let l be (2 - -2)\/(14 + o). Sort -2, 11, l, m in increasing order.\nAnswer: -2, m, l, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 23, 46, 71, 98, 127, 158?\n\"Answer: w**2 + 20*w + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -2063 + 2819. What are the prime factors of z?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 0 by -37.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*a, 1292 = -j + 5*j + 4*a. Let n = j + -321. Solve 1 = n*k - l + 8, -14 = 3*k - 5*l for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1374149 to the power of 1\/3, to the nearest integer?\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 15 + -10. Suppose 4*x - 16 = 5*c, -3*x + 14 = k*c + 2. Suppose x*z - 4*t = -3*t + 468, 0 = -5*t - 20. Does 10 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(i) = i**3 + 23*i**2 + 2*i - 18. What is the remainder when r(-20) is divided by 378?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2*sqrt(55)*-3 - (sqrt(880)*2 - sqrt(880)))\/((sqrt(1584) + sqrt(1584)*-2)*5*6) + 1.\nAnswer: -sqrt(5)\/180 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is six fifths of a millennium in decades?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*q - 9 = -5*f, 4*q = -5*f - 15 + 56. What is the hundreds digit of -1 + 14\/q + (-949081)\/(-686)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 11\/(-165) + 3342\/180 + 48\/(-32).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 11018536119235871.1999731 - 11018535224231468. Let v = -895004360 + y. Let x = -43.2 + v. Round x to 6 decimal places.\nAnswer: -0.000027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 206 is divided by 42?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1666*x = 1668*x - 6. Solve 2\/9*q**x + 0*q**2 - 4\/9 - 2\/3*q = 0 for q.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -276*h - 270*h - 267*h + 814*h.\nAnswer: h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -20 = 5*c + 5*t, 3*t + 16 = c - t. Suppose 0 = 5*s - c*s - 25. Solve i - s*i = 12 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 1 - -1c8?\nAnswer: 1c9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_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: b\"What is the dth term of 259, 1069, 2471, 4507, 7219, 10649, 14839, 19831?\n\"Answer: 7*d**3 + 254*d**2 - d - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a(k) = -k**3 + 2 + 0 + 7 + 7*k**2 - 8*k + 0. Let t be a(6). Let h(x) = x + 3. Let y be h(t). Which is bigger: 2\/5 or y?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((o*o**(6\/11))\/(o*o**(-6\/5)))\/(o*o\/(o*o\/(o\/o**(4\/7))))**(-35) assuming o is positive.\nAnswer: o**(921\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 q and 2 m when three letters picked without replacement from qqvqmpqrmvqqqvpmvjmm.\nAnswer: 7\/114","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 181215*l*r**3 - 25063*l*r**2 + l*r + 4*l - 7*r**3 - 64*r**2 + 2*r wrt r?\nAnswer: 1087290*l - 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Express -72*h + 1 - 5*h**2 + 0 + 73*h - 6*h**2 in the form u + n*h + p*h**2 and give p.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1*(-5 + 0 + sqrt(52)).\nAnswer: -5 + 2*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.2 + 0.0775.\nAnswer: 0.2775","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2675 = 155*x + 40 for x.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -196 - -221. Does 5 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*a - l = 19, 4*a - a + 2*l = -29. Let d = 13 + a. Factor -4*s**5 + 0*s**5 + 5*s**5 - s**d + 0*s**4.\nAnswer: s**4*(s - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -4 - -11. Let x = -1545 + 1589. Let a(b) = -3*b + x*b - o*b. Let m(z) = 2*z**2. Determine a(m(k)).\nAnswer: 68*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand (25 - 2 + 16 + 8)*(5*w - 4*w - 2*w)*(-10*w + 5*w - w).\nAnswer: 282*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence elll when four letters picked without replacement from ddddeddqdlledqqdet.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve -137783 = -1007*p + 2854*p - 32504 for p.\nAnswer: -57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 0.7 - 0.5. Let r = -5.2 + x. Suppose 5*k = 4*o - 7, -2*k - o = -3 - 2. What is the nearest to 1\/4 in 2\/11, k, r?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of (5 + -2 + -2)*39.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 12547.445 to the nearest one thousand.\nAnswer: 13000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -153*o + 151*o - 2*x + 3918 = 0, 3*x + 5835 = 3*o. What is the tens digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 783104 is divided by 2576.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 75754031.\nAnswer: 75754031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2\/3 in -3, -30, 0.6?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 432 and 468072?\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1904.\nAnswer: 2, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let c be ((-1079)\/(-30))\/13 - 3. Let a = -41\/90 - c. Is a at least 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 0.3 >= -36?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let a(o) = 2*o**3 + 2*o**2 + o + 1. Let y(n) = 3*n**3 - 14*n**2 - 5*n - 4. Calculate -3*a(p) - y(p).\nAnswer: -9*p**3 + 8*p**2 + 2*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*r = -2*d + 5*d - 157, -104 = -2*d - 3*r. Suppose -3*a = 2*a, 6 = -b - 2*a. Let i = b + 17. What is the greatest common divisor of i and d?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4 = -y - 0*y. Let n be -3 - y*(-4 + 3). Solve -i - 5*z + 4 = 0, -3*z = -n - 2 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 2108 and 788.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 677.\nAnswer: 677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is -1 >= -3\/12551?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-752)\/(-470))\/(4\/(-15))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(f) = -3*f**3 - f**2 + 6*f + 6. Let n(g) = -2*g**3 + 15*g**2 - 16*g**2 + 5 + 7*g - 2*g. Determine 5*j(s) - 6*n(s).\nAnswer: -3*s**3 + s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 1\/(-4) + (-144)\/(-64). Let k be 55\/(-77) + s\/2. Factor -2\/7*c**5 - 4\/7*c**2 - k*c + 2\/7*c**4 + 2\/7 + 4\/7*c**3.\nAnswer: -2*(c - 1)**3*(c + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -22 + 26*g**3 - 2*g**2 + 2 + 45 - 23 to the form w*g**2 + d + h*g + n*g**3 and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve 33 = -3*l - 0, 13*a = 3*l + 28 - 8 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 122423977 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let u(v) = 2*v**3 - 2*v**2 + 6*v + 2. Let t(g) = -3*g**2 - 12*g - 52. Let z(s) = s**2 + 5*s + 21. Let l(p) = 2*t(p) + 5*z(p). What is 4*l(n) - u(n)?\nAnswer: -2*n**3 - 2*n**2 - 2*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (3 + -2)\/(7\/161). Let l be (-18)\/10 - (-26 + r). Sort -0.07, -1\/6, l in descending order.\nAnswer: l, -0.07, -1\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 457 minutes before 1:31 PM?\nAnswer: 5:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 210551981 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Round 300642.1087 to the nearest 1000.\nAnswer: 301000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 137 is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in 0.7854418 decades?\nAnswer: 7.854418","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b(y) be the second derivative of 5 + y + 0*y**3 + 1\/10*y**5 + 14*y**2 + 8\/3*y**4. What is the derivative of b(h) wrt h?\nAnswer: 6*h**2 + 64*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 4.68 + 0.32. Let w = -3 - -2.6. Which is the smallest value?  (a) o  (b) w  (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 4 + (-2 - (-5 - 0)) + -2 - -1\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let a(n) = -5*n**2 + 466*n + 405. Let h be a(94). Solve -31*x + h*x = -10 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence os when two letters picked without replacement from bbbbbhsbbobtbbbbbhb.\nAnswer: 1\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1*-2*-6*(-2*sqrt(190) - sqrt(190))*-6)\/(((sqrt(90) - (sqrt(90) + -2*(1*sqrt(90) + sqrt(90)))) + (-1*sqrt(90) + sqrt(90))*-5)*-1).\nAnswer: 18*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*h + 4*p = 14 + 29, -4*h = 5*p - 56. Let w(y) = -y**2 - 38*y - 37. Let n = 16 + -53. Let d be w(n). Solve -i - i + 10 = 4*j, 4*j + i - h = d for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 592000 to the nearest ten thousand.\nAnswer: 590000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let c(l) = 369*l - 1. Let f be c(1). Let g = f - 227. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is (-8)\/(-20) - 2992\/(-20) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 4\/3?  (a) -4\/7  (b) -0.1  (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 1295 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 59 - 54. Suppose -n*p = -3*p - 54. Is 27 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3 - 19084*y**2 - 3 + 4*y - 4*y + 19081*y**2.\nAnswer: -3*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-3 - 33\/(-22))\/((-2)\/12). Suppose -10*o = -m*o - 261. What are the prime factors of o?\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -2\/9  (b) 4  (c) 790\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from sbbzzibbccybbczbsb. Give prob of picking 1 y and 1 i.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Does 500 divide 72945000?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let z(i) = -9*i**2 + 11*i**2 + 51*i - 2 - 55*i. What is the tens digit of z(4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(h) = h**3 + 7*h**2 - 10*h. Let x be i(-8). Let y be (-11)\/(-3) - 14\/21. Let t = 11 + -10. Solve -x = y*b - t for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 19 - 7. Let p = -17 + u. Let k be 12 + -12 + (-6)\/(-16). What is the biggest value in p, 0.04, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(g) = 11 + 13*g + 6 + 9 - g**2. Let f be i(15). Let v = 4.581 - -0.419. Which is the fourth biggest value?  (a) f  (b) -4\/7  (c) -2\/7  (d) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -2703, 8, -0.1, -1\/6, -50?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 1 + 2. Let i = 3928\/9 + -436. Let y = -2.8 + -0.2. What is the closest to y in h, 2, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 7683940 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 650140 is divided by 2463?\nAnswer: 2371","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 4276 and 16760851?\nAnswer: 1069","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (3 + -7 - 170\/(-119))\/((-6)\/28). Solve 0 = -4*t + 4*l + u, 0*l - 2*l = 10 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -277 > 21?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -24613\/3 + 8209. Factor 0 + 32\/3*x**2 + 8\/3*x + v*x**3.\nAnswer: 2*x*(x + 2)*(7*x + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 4180481 is divided by 603?\nAnswer: 485","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let v(q) = q**3 - 93*q**2 + 2362*q - 242398. Give v(95).\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let j(g) = 4*g + 9. Let v be j(-4). What is the units digit of 1*v\/(7\/(-8))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(n) be the second derivative of n**6\/30 + n**5\/5 + 33*n**4\/2 - 1921*n**3\/3 - 5489*n. What is the second derivative of j(g) wrt g?\nAnswer: 12*g**2 + 24*g + 396","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -17*g*s**2 - 46*g + 20*s**2 - 12*s + 182 wrt s.\nAnswer: -34*g*s + 40*s - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Expand 8 - 8 - 3*m**3 + (51*m**2 - 493*m + 493*m)*(-2*m + m - 2*m).\nAnswer: -156*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let o(q) = q**2 - 11*q - 24. What is o(10)?\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let d(h) = 3*h + 0*h + 3*h + h**2 - h**3 - 4*h. Let s be d(-3). Calculate the greatest common factor of s and 75.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 10 (base 5) in base 16?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-128)\/(-88)*(-11)\/(-2).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -36 = 17*n - 23*n. Solve n = -2*c - 4 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -432 = -44*z + 20*z. Calculate the smallest common multiple of 2298 and z.\nAnswer: 6894","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(f) = -f**3 - 5*f**2 - 4*f - 8. Calculate the remainder when 118 is divided by y(-5).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2669 a multiple of 58?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 51 a factor of 1580?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 15 - v - 8*v**3 + v - 22 wrt v.\nAnswer: -24*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 26479187?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1 + (sqrt(8)\/(sqrt(12)\/sqrt(3)) + sqrt(128) + 1 + -1)**2.\nAnswer: 161","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -83\/1000 and -41\/300.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -315 - -317. Solve -5*x - 20 = 0, q*z + 5*x + 21 = -7 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 3879\/371 or 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: 130 (base 8) to base 13\nAnswer: 6a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -6234075 (base 8) in base 12?\nAnswer: -678591","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 5 + 4*154413\/76. What is the greatest common divisor of 76 and h?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -87 by -343.\nAnswer: 87\/343","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from kxxxkkxxkx. Give prob of sequence xxkk.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let i(z) = -3*z**2 - 17*z - 15. Let w(s) = -4*s**2 - 26*s - 22. Let b(d) = -7*i(d) + 5*w(d). What is the units digit of b(12)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(g) = 9*g + 1. Let h = -29 + 28. Let q be l(h). Let n be (q + 5)\/6*0. Is 4\/3 less than n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(j) = 3660*j**3 + 17*j**2 - 9*j - 9. Let t(z) = -18301*z**3 - 85*z**2 + 48*z + 44. Let q(f) = 3*t(f) + 16*y(f). What is the third derivative of q(p) wrt p?\nAnswer: 21942","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1656673 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -2*a**4 + 10199*a**3*s - 30*a**2*s + 3*a - 6788*s - 112 wrt a?\nAnswer: -24*a**2 + 61194*a*s - 60*s","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 808147615?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve 582*f - 130 = 563*f + 41 for f.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is (((-13)\/(-325))\/(12\/50))\/((-27)\/612)?\nAnswer: -34\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 16\/10 + 38\/95. Suppose -i*v = 20 - 28. Solve -v*c = 4*r, -3*r = -0*r + 2*c + 3 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -74*j - 166*j + 29*j + 21*j - 75*j - 4 to the form x + b*j and give x.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let m(q) = -q**2 + 5*q**2 - q**2 + 4*q - q. Let x(g) = 5*g - 22. Let l be x(5). Let w(t) = -t + 10. Let v be w(9). Let z(y) = -y. Give l*z(f) + v*m(f).\nAnswer: 3*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-551)\/(-1827)*9*-7)\/(-1*1)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (c*((c*c**(-2\/5)*c)\/c)\/c)**(-35)*(c*c\/c**(-2\/3))**(-46) assuming c is positive.\nAnswer: c**(-431\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1622401 (base 8) to base 5.\nAnswer: 104440400","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -25\/34 - -21\/17. Let o(h) be the second derivative of -1\/20*h**5 - b*h**2 - 1\/4*h**4 + 0 - 1\/2*h**3 - h. Suppose o(r) = 0. Calculate r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 21190 is divided by 10545?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 h and 1 p when three letters picked without replacement from hskkkhdhsdddktp?\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let a be -3*(-4 + 44\/12). Solve -2 = 3*c + a for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*x + 21*y + 56 + 47 + 59 + 34 = 36, 64 = 4*x - 4*y for x.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*o = -8 + 803. What is the hundreds digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1\/3 in -1, 8, 3\/130, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 247*u**2 + 226*u**2 - 499*u**2.\nAnswer: -26*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -18 + 16. Sort -4, y, 8 in increasing order.\nAnswer: -4, y, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth biggest value in -0.5, 38, -3, 48, -2\/9?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*o + 18 = 3*q, -4*o - 1 = 11. Suppose q*n - 2 = 2. What is the units digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(i) = 7*i**3 + 5*i**2 + 2*i + 10. Let s(a) = -15*a**3 - 11*a**2 - 5*a - 21. Let f(g) = 13*n(g) + 6*s(g). Factor f(x).\nAnswer: (x - 2)*(x - 1)*(x + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -19044*v**4 + 13*v**2 - 10*v + 33.\nAnswer: -457056*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence palh when four letters picked without replacement from {p: 1, l: 1, a: 1, t: 1, h: 1}.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -4 + 1. Let u(v) = -v**2 - 5*v - 3. Let s be u(y). Solve 0 = -2*d + 4*a + 14, s*d + 2*a + 3*a - 10 = 0 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -8851 + 8.\nAnswer: -8843","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*x**3 - 380*x**2 + 7265*x - 13050.\nAnswer: 5*(x - 45)*(x - 29)*(x - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 847909 to the nearest integer?\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let x(d) = 21*d. Let f(s) = 4*s. Let b(v) = 33*f(v) - 6*x(v). Let a(y) = -1 + 2*y**2 + 1. Calculate a(b(j)).\nAnswer: 72*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 2.4352029 rounded to zero decimal places?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let p(x) = -5*x + 4 + 6 + x**2 + 0*x**2 - 3. Let b be p(5). Let z be b\/10 - (-1)\/(-2). Which is smaller: z or 1?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(m) = -30*m + 2. Let r(k) be the first derivative of -k**3\/3 - 15. What is j(r(g))?\nAnswer: 30*g**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -269 or -271?\nAnswer: -271","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: 4128 divided by -3\nAnswer: -1376","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 - 3\/4*l - 1\/4*l**2 = 0. Calculate l.\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 200 divided by 5?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Convert -3564 (base 15) to base 11.\nAnswer: -8583","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 2146823 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.3823921 centimeters in micrometers?\nAnswer: 3823.921","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2*5\/(-5*12).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 111490.34 and -131800?\nAnswer: 243290.34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 54.92 - 54. Let g = i - -0.08. Let u = -1\/512 - 1021\/1536. Which is the smallest value?  (a) 4  (b) g  (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {g: 11, z: 1}. Give prob of picking 2 g and 1 z.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -6074225*l**2*m**4 - 3*l**2*m - 5056842*l**2 + 2*l wrt m?\nAnswer: -24296900*l**2*m**3 - 3*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 82929479?\nAnswer: 47, 1764457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -11333 and -473?\nAnswer: 10860","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:28 AM and 3:30 AM?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(912) - sqrt(57))\/sqrt(3) + 1*sqrt(171) - sqrt(133)\/(sqrt(448)*2).\nAnswer: 95*sqrt(19)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 23973235 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let k(h) = 210*h**2 + 2*h + 2. Let j be k(-1). Let f = j + -210. Which is smaller: 15\/29 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 5 or -6293?\nAnswer: -6293","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (21238\/4551)\/(42\/(-9)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: -11019 + 0.4\nAnswer: -11018.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 83 - 82.61. Let s = t + 0.01. Let i = -4 - -3. Which is the third smallest value?  (a) s  (b) i  (c) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -72110 + -5?\nAnswer: -72115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 96 and 640?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 5.2 + -5.37. Which is the closest to z?  (a) -5  (b) -4  (c) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -7*b + 34*b = 25*b + 18 for b.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: How many micrograms are there in 13\/5 of a milligram?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-7076)\/(-638))\/61*((-674)\/(-4) - -2).\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 1\/(-2) - (-21)\/2. What are the prime factors of ((-18)\/5)\/(k\/(-75))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12*x + 2131 = -2609. Calculate the greatest common factor of 553 and x.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 0.25 - 0.05. Suppose 2*z = -5*o - 24, 5*o = -3*z + 4*z - 18. Let t be (18\/10)\/(351\/(-585)). Which is the second biggest value?  (a) o  (b) l  (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -16\/2605 at least as big as -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 5 + -5. Suppose v = 3*m + 9 - 39. What is the units digit of m?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1*sqrt(640) - (sqrt(10) - (sqrt(10) + sqrt(360)*1)))\/((sqrt(162) - sqrt(162)*2) + sqrt(2) - ((sqrt(128) - -2*sqrt(128)) + sqrt(128))).\nAnswer: sqrt(5)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*f = 5*o + 135, -o - 84*f + 89*f + 1 = 0. Let z = 6 - 10. What is the least common multiple of (2 + 74\/z)*o\/18 and 6?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -59\/4 and 61\/46.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Express d - 4*d + 3*d + d as t + k*d and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -79.73 - -83.7. Let k = j - -0.03. Which is the third smallest value?  (a) 5  (b) k  (c) -1\/2  (d) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 16081 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify u**35\/u**(3\/22)*u**21*u*u\/(u*u**(4\/11)*u)*u assuming u is positive.\nAnswer: u**(113\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 + 5 + -5 + -4 - -4?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, -0.026, 14, 113, -0.3 in ascending order.\nAnswer: -0.3, -0.026, 5, 14, 113","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 187 and 3247.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose v = -3*t - 198, -91*t = -95*t + 3*v - 251. Which is the third smallest value?  (a) t  (b) 0.5  (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(162) + sqrt(162)*-2)*-6 + (sqrt(2) + sqrt(6)\/(sqrt(3)*2))**2 + -2 + (sqrt(640) - sqrt(640)*3)\/(sqrt(720)*-2 + sqrt(720)).\nAnswer: 5\/2 + 166*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 760 and 168.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 41953646 is divided by 374586?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 226019 is divided by 3705.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Divide 3458 by 74.\nAnswer: 1729\/37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 36469?\nAnswer: 36469","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -28 - -48. Let z be u*3\/(-2)*(-1)\/6. Suppose -4*q + 2*q + z*m + 220 = 0, q - 111 = 2*m. Is 23 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 3 in -2\/5, -6, 2\/5, -254?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 3793359?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -71608, -77596, -83582, -89566?\nAnswer: -95548","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: (-4)\/108*-3*-1\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Put 288, 4, 139, -2, -8, -3 in decreasing order.\nAnswer: 288, 139, 4, -2, -3, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -5*g + 5*g + 2*g - 2*g - 2*g**2.\nAnswer: -2*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0*g**3 - 3*g**3 - 3*g**3.\nAnswer: -6*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let k(r) = -3*r**2 - 9*r + 5. Let c(h) = -5*h**2 - 18*h + 10. Let s(m) = -4*c(m) + 7*k(m). List the prime factors of s(6).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 230, 461, 692, 923, 1154?\n\"Answer: 231*t - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: -3 divided by -20895607\nAnswer: 3\/20895607","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -26 + 29. Suppose -3*u - 42 + 9 = -c, 42 = -z*u - 2*c. Let y(f) = 4*f**2 + 6*f - 13. Is y(u) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (((-11780)\/434)\/(-95))\/((-2)\/168)?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let x(t) = 16*t - 15. Let b(u) = 8*u - 7. Determine -5*b(s) + 2*x(s).\nAnswer: -8*s + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Sort -18, 4, -0.5, 331\/2, 2\/7 in ascending order.\nAnswer: -18, -0.5, 2\/7, 4, 331\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let n(c) = -25*c**2 + 933*c - 216. What is the tens digit of n(30)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (0*q**3 - 2*q**3 - 4*q**3 + (-3 + 6 - 1)*(4*q**3 - 5*q**3 + 6*q**3))*(-2 + 2 + q) as l + f*q**2 + n*q**3 + p*q + x*q**4 and give x.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 5*(-18)\/(-225)*5. What is the second derivative of 13*m**2 + m**2 - m**3 + 14*m**z - 10*m**2 - 7 - 16 - 6*m wrt m?\nAnswer: -6*m + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 17248?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Put 1\/5, -0.5, 12\/11, -5\/2 in descending order.\nAnswer: 12\/11, 1\/5, -0.5, -5\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let p(z) = 186*z + 1131. Let n be p(-6). Solve 827*i = 830*i + n for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be -12*(-3 + (-30)\/(-8)). Let q be n\/(-4*(-2)\/(-15)). Let v = q - 17. Which is greater: v or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 159*l**2 + 5 + 77*l**4 + 154*l**2 - 3 - 312*l**2 - 2*l + l**3 in the form g*l + r + p*l**3 + n*l**2 + j*l**4 and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let z(i) be the second derivative of -2*i**7\/63 - 2*i**6\/15 - i**5\/15 + i**4\/3 + 4*i**3\/9 - 281*i. Solve z(d) = 0 for d.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 7838 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: Is 2044651277 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 2232985 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -13, 69, 263, 569?\nAnswer: 987","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 56\/(-175)*(8\/24)\/(8\/(-30))?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:09 AM and 4:09 PM?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 100003030031 (base 4) in base 2?\nAnswer: 10000000011001100001101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 35 and 12631395.\nAnswer: 12631395","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let w(r) = 195*r**3 - 42*r**2 - 151*r + 1817. Is w(12) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 30 and 365.\nAnswer: 2190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 0.04779 - 0.02779. Put 0.2, 0.05, k in decreasing order.\nAnswer: 0.2, 0.05, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -0.1 or 6233685?\nAnswer: 6233685","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-15)\/(-2)*4\/3. Let u = -8 - -16. Let i = s - u. What are the prime factors of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -2, 1\/7, -0.421?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (6*r + 132 - 2*r - 131)*(-26 - r + 11*r - 16*r).\nAnswer: -24*r**2 - 110*r - 26","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 315, 1073, 1835, 2601, 3371, 4145?\nAnswer: 4923","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Does 18 divide 124051230?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: (-9)\/8*4\/((-48)\/4)\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 386?  (a) -9  (b) -1\/13  (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is (624\/117*(-3)\/4)\/2?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 76269481 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let z(q) = 2*q**2. Let d(x) = x - 2. Let k(r) = 6 - 4 + 1 - 2. Let y(p) = d(p) + 2*k(p). Determine y(z(o)).\nAnswer: 2*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 630.25 less than -13?\nAnswer: -643.25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 261536 or 261508?\nAnswer: 261508","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let j(w) = -w + 11. Determine j(11).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let h(x) = 12*x**2 + 222*x - 70. Calculate the remainder when h(-19) is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(q) = q**3 - 2. Let t be v(0). Let x = 3 - t. Suppose 0 = -4*a - d - 4*d + 21, 0 = -2*a + x*d + 33. List the prime factors of a.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 7.6147 - 1.6147. Let o(u) = u**3 - 8*u**2 + 2*u - 11. Let n be o(8). What is the fourth biggest value in -0.4, n, -0.3, p?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 19019427?\nAnswer: 3, 7, 905687","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (k*k\/((((k\/(((k\/(k**0\/k))\/k)\/k)*k)\/k*k*k)\/k)\/k)*k)**(6\/13)\/(k**(-6)\/k*k*k**6)*(k**(-2\/3)\/k*k*k**(-1\/5))**(-2\/67) assuming k is positive.\nAnswer: k**(12398\/13065)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Divide 372675 by -3.\nAnswer: -124225","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Expand -h**2 - 11*h**2 - 7*h**2 - 2 + 2 - h**2 + (-2*h + 3 - 3)*(-2*h + 4*h + 0*h) - h**2 + 0*h**2 - h**2 - 2*h**2 + 281*h - 244*h + 3*h**2.\nAnswer: -25*h**2 + 37*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Sort -6\/4925, 1\/2, 3, -0.3 in ascending order.\nAnswer: -0.3, -6\/4925, 1\/2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: 0.3 - -6645\nAnswer: 6645.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let x(p) = 441131*p**2 - 7*p + 3. Let f be x(6). Let l = 24344355 + -34225032. Let z = f + l. What is z rounded to the nearest one million?\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 12 and 61182.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let w(o) = 52593*o - 4321. Is w(6) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -r**4*u - 30*r**4*w + 29*r**3*w - 12*r**3 - 4140*r**2*u - 76*r**2*w wrt r?\nAnswer: -24*r*u - 720*r*w + 174*w - 72","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6726 = -26*a + 1084. Let y be 4\/((-56)\/(-9))*a\/(-186). Factor -9\/4*j + 0 + 3\/2*j**2 + y*j**3.\nAnswer: 3*j*(j - 1)*(j + 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(w) be the second derivative of 1\/12*w**4 + 0*w**3 - 1\/2*w**2 + 0 - 2*w. Let v(r) be the first derivative of c(r). Calculate v(-3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(w) be the first derivative of 23\/3*w**6 + 0*w**4 + 0*w**5 - 1\/3*w**3 - 88*w**2 + 0*w + 198. Find the second derivative of x(h) wrt h.\nAnswer: 920*h**3 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(y) = 6*y**3 + 16*y + 5. Let d(z) = -z**3 - z - 1. Determine 4*d(p) + m(p).\nAnswer: 2*p**3 + 12*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4\/3, -0.04, 1, 331107, 0.\nAnswer: -0.04, 0, 1, 4\/3, 331107","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*t + 3*i + 99 = 0, -5*t + 205 = -37*i + 42*i. Let j be (-48)\/(-1)*(7\/4 + -1). Solve j*m + 4 = t*m for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -f + 5*f + 16. Let j be 33*(4 + (-32)\/12). Let h be (-11)\/j - 38\/8. Which is the nearest to 0?  (a) f  (b) 3  (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -2068 or -14468\/7?\nAnswer: -2068","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Sort 26, -5, 4, -3 in increasing order.\nAnswer: -5, -3, 4, 26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let z(p) = 2*p**3 - 13*p**2 - 6*p - 107. Let b(r) = -r**2 + r + 1. Let m(n) = -6*b(n) - z(n). Differentiate m(h) wrt h.\nAnswer: -6*h**2 + 38*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 3.962 + -56.962. Is -0.22 not equal to y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(k) = k**2 + 2345*k + 39570. What is p(-17)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -28*d + 14*d + 17*d. Suppose d + 51 = 3*c. What is the greatest common factor of 51 and c?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 31280 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-5)\/(50\/12)*(-11885)\/52294.\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 532 minutes before 1:24 AM?\nAnswer: 4:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4*b**3 - 8*b - 48 + 48.\nAnswer: 4*b**3 - 8*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is -12 divided by 250250?\nAnswer: -6\/125125","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 16 + -34. Let g = 21 + y. Suppose -2*b = 3*b + o + 34002, 0 = g*b + 5*o + 20410. Round b to the nearest 1000.\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5*s**2 + 0*s**2 + 3*s**2 + (-5*s + s + s)*(24479 + 241*s - 24479))*(s**3 + s**3 - s**3).\nAnswer: -725*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let g(p) = -6*p. Let d(n) be the second derivative of -n**3\/6 + 16*n. Let b = 21 + -35. Give b*d(v) + 2*g(v).\nAnswer: 2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 647 + -602. What is the remainder when 101 is divided by t?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -8192, 1\/8, 2\/13 in ascending order.\nAnswer: -8192, 1\/8, 2\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 233696101?\nAnswer: 6199, 37699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Determine c so that -5*c**5 - 300*c**4 + 20280*c**3 - 114080*c**2 + 222960*c - 146880 = 0.\nAnswer: -102, 2, 36","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let p(n) = 346*n**2. Let m(r) = -2*r**2. What is p(m(u))?\nAnswer: 1384*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 1 - -2. Suppose -3*o = b - 11, -5*o + 19 = -0*b + b. Solve -o*v + 15 = r, -3*r + n = 2*v - 4*v for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify d**(2\/11)*d**(2\/25)*d**(-8\/13)*(d**(-2\/7)*d)\/d assuming d is positive.\nAnswer: d**(-15998\/25025)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Divide 2 by 522633.\nAnswer: 2\/522633","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let x(k) = 73*k. Let f(i) = -192*i**2 + 2*i. Give x(f(h)).\nAnswer: -14016*h**2 + 146*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 714 minutes before 3:51 AM?\nAnswer: 3:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-1)\/1*1\/(-2)*-2?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f be ((0 - 1)\/2)\/(14\/(-112)). Suppose -3*n = f + 11. Let g(d) = -d**2 - 8*d - 11. Let j be g(n). Solve -x - 12 = -j*x for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -6 + (-3 - (1 + -7))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 0.1069948 - 0.107. Round n to six dps.\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(k) = k**2 - 9*k + 2. Let l(y) = y**2 + 3*y - 3. Let t be l(-5). Let m be d(t). Let v be (6\/m)\/((-1)\/6). Solve -2*o - v*h = -8*h, 0 = -3*h + 6 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 d when two letters picked without replacement from ddddddd.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 1 + 3. Suppose 3*f = l - 5*l - 12, f + h = -l. Suppose 2\/3*n**2 + l - 2\/3*n - 2\/3*n**4 + 2\/3*n**3 = 0. What is n?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 21515 is divided by 132?\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 1744 - 1739. What is the nearest to -1 in o, -70, -1, -0.03?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 91 minutes before 3:07 PM?\nAnswer: 1:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -5?  (a) -0.1  (b) 59  (c) -0.01\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let k(o) = 3*o + 11. Let q(c) = -3*c - 11. Let w(x) = -6*k(x) - 7*q(x). Let n be w(-4). Let v = 4588\/3913 - 49\/43. Is n bigger than v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 61\/507346 and -25\/112.\nAnswer: 4058768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 7\/25 of a litre?\nAnswer: 280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -14*j**3 + 11*j**3 + 16*j**3 - 2*j**2 - 2*j to g*j + t*j**2 + k*j**3 + x and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 9.808804um in meters?\nAnswer: 0.000009808804","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*a - 4*h - 42 = 0, -4*h + h - 24 = -a. Let q = a + -5. What is the remainder when q is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -118 by -2.\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*a = 2*z - 3771, 4*a = 2*z - 1949 - 1867. What is the thousands digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -2.33144 rounded to two dps?\nAnswer: -2.33","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 7c (base 14) in base 3?\nAnswer: 11002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 31 a factor of 303395473?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 153 (base 11) in base 12?\nAnswer: 12b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:31 PM and 11:47 PM?\nAnswer: 76","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -1.2 + 1.1. Let k = 1 + 0. Which is the second smallest value?  (a) -2\/5  (b) t  (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (j\/(j\/(j**8\/j)))**27 assuming j is positive.\nAnswer: j**189","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 159, 560, 1229, 2166?\n\"Answer: 134*r**2 - r + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.3 times -77112367?\nAnswer: -23133710.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*t = 3*z - 0*z + 73, 0 = z - 4*t + 21. Let k = 47 + z. Suppose -2*y - c = c - k, -4*y + 4*c = -4. What is the units digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -5*1\/(-10)*6\/3?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((2*sqrt(117))\/sqrt(9) + -5)**2.\nAnswer: -20*sqrt(13) + 77","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 270*y**3*z**3 - 32165*y**3 + 12*y**2*z + 4*y**2 + 8732*z**4 wrt z.\nAnswer: 1620*y**3*z + 104784*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 493\/8 - 58. Find the common denominator of c and -67\/3.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -4*z**2 - 2*z**4 + 2*z - 19*z**2 + 11*z**2 as d*z**3 + s*z**4 + r*z**2 + y + n*z and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve 21*d + 126 = -2 - 61 for d.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 862359, 862416, 862473, 862530?\nAnswer: 862587","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_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: Rearrange (13*u + 30*u - 8*u)*((0 + 0 - 2)*(-3 + 5 - 1) - 4 - 1 + 4 - 5 + 4 + 23) to the form t + m*u and give m.\nAnswer: 665","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 4226557?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 574697 = 77*l - 66*l + 96*l. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 165069 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: Let w(v) = -13*v**2. Let h(t) = 59*t. Determine h(w(d)).\nAnswer: -767*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let j(s) = 5818*s**3 + 6*s**2 + s + 60. Let o(z) = 5818*z**3 + 5*z**2 + z + 50. Calculate -5*j(p) + 6*o(p).\nAnswer: 5818*p**3 + p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2\/19, -3, -23, -0.5 in increasing order.\nAnswer: -23, -3, -0.5, -2\/19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 20*o + 10 = 22*o for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3\/5, -24, -22.78, -0.4, -0.2.\nAnswer: -24, -22.78, -3\/5, -0.4, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let g(i) = i + 33. What is g(0)?\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*x - 2*x = -5*c + 5, -4*c - x = -1 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -4345.3325 + 4342. Round n to one dp.\nAnswer: -3.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 31, 47, 65, 85, 107, 131?\n\"Answer: t**2 + 13*t + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m(p) = -p**3 - 3*p**2 + 10*p + 2. Let x be m(-5). Suppose 0*q = x*q - 50. List the prime factors of q.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 274 minutes before 6:18 PM?\nAnswer: 1:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from cccwxccxl. Give prob of picking 1 c and 1 l.\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 2307785669?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 (base 14) in base 15?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (p*p**(2\/25)*p**(-12)\/p*p)\/(p**(2\/7))**(1\/3) assuming p is positive.\nAnswer: p**(-5783\/525)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:05 PM and 7:11 AM?\nAnswer: 546","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let j(t) = 2*t**3 - 6*t**2 - 30*t + 7. Let c(u) = 2*u**3 - 7*u**2 - 30*u + 7. Give 6*c(i) - 7*j(i).\nAnswer: -2*i**3 + 30*i - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 9363134?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 69169*v**4 + 9*v**3 + 2*v - 8103730?\nAnswer: 276676*v**3 + 27*v**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Express 4 + 14*j**4 - 6 - 11109*j + j**2 + 11026*j in the form x + v*j**4 + c*j + t*j**3 + o*j**2 and give v.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1281 = -7*p + 6356. What is the tens digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-25 + 26)*(-10)\/2. Let m(i) = -16*i**2 - 2*i - 2. Let v be m(l). What are the prime factors of (-4 + 78\/24)\/(2\/v)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(m) = 12*m**2 - 2*m - 3*m + 0*m - 7. Let s(q) = 5*q**2 - q - 6. Let x(v) = -8*v**2 + 6*v - 1. Let l(b) = -2*s(b) + x(b). What is 8*d(g) + 5*l(g)?\nAnswer: 6*g**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*m + 5*x - 1130 = 0, -25*m + 21*m - 2*x = -1124. List the prime factors of m.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -l**2 - 9*l**2 - 20*l**3 - 10*l**2 wrt l?\nAnswer: -120","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 0.9 - 0.6. Let f be 10\/(-3)*2\/(-15). Suppose -2*j + 4*q - 54 = 0, 5*j + 4*q + 27 = 46. What is the second smallest value in f, 1\/8, j, v?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -20101 (base 5) in base 16?\nAnswer: -4fc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(135)\/sqrt(3) + (-2*sqrt(20))\/sqrt(4))**2*2.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0*q + 4 = 5*q + 2*k - 1, 2*q + k = 0 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -0.226 + 0.126. Are -1.3 and y equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 185941\/7070 + -5 + -21?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(h) = -68*h - 4397. Calculate b(-58).\nAnswer: -453","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let t(r) be the second derivative of r**6\/360 - r**4\/2 - r. Let x(w) be the third derivative of t(w). Suppose 0 = 5*i - 5. Determine x(i).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -11 - -10.7. Let c = -153\/280 + -3\/56. Which is smaller: q or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8 - 2 = 3*z. Suppose z = k - 7. Suppose 0 = -3*q + i - 2*i + 9, 3*q - 5*i - k = 0. Solve 2*g = -5*v + 3*g, -2*g = -q*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*p - b - 9, 3*p + b + 4*b - 27 = 0. Let g(q) = -5*q**3 - q**2 - 1. Let z be g(-2). Suppose z = p*d + 11. What is the units digit of d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: (20\/(-18))\/((-92)\/828)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((v\/(((((v*v*v**(-2\/45))\/v)\/v*v)\/v*v)\/v*v)*v)\/(v\/(v*v\/v**22)*v))**(-11))**31 assuming v is positive.\nAnswer: v**(321563\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -53, -62, 5, 214, 631, 1322, 2353?\nAnswer: 3790","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 670303178?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence vwv when three letters picked without replacement from vvvvvwvvwvvvvvvvvvvw.\nAnswer: 34\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 + 2 - 1)*(z + 2*z - z)*(-11*z**2 + 11*z**2 + 4*z**3).\nAnswer: 8*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -6 + 1 + (-3 - -2) + 11.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 97*q + 147 + 47. Is 305 at least as big as q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*y + y = -15 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 643 is divided by 17.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let f(g) = -g**2 - 5*g - 7. Suppose 0 = -5*q - u - 29, 0 = 2*u + 6 + 2. Let a be f(q). Let b = a + 9. What is the units digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 1134 + -254. List the prime factors of h.\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 412769589 to the power of 1\/8, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -6*a**3 + 74*a**3 - 11*a**3 - 19*a**3 - 40*a**3.\nAnswer: -2*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*a + 4 = j, 3*a + 3 = 5*j + 11. Let l = 1.2 - 0.2. Let h = -6 + 6.4. What is the second biggest value in l, j, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*w = -86*v + 87*v - 2302, 0 = -5*v - 4*w + 11481. What are the prime factors of v?\nAnswer: 2297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 5 by -187927516.\nAnswer: -5\/187927516","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 976 + 37*j**2 - 35*j**5 - 976 wrt j?\nAnswer: -2100*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -1, 13, -3, 0 in descending order.\nAnswer: 13, 0, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of ((-18)\/(-15))\/((-27)\/6)*(-489)\/(-22331) and 33\/1370.\nAnswer: 1370","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 11106?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/5 of a millennium in decades?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g(u) = -9*u**3 - u**2 - 3*u - 2. Let l(t) = -2*t**3 + t + 1. Let o(x) = g(x) + l(x). Let z = 17 + -12. Suppose -1 + 6 = -z*a. What is o(a)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {w: 1, i: 2, r: 1}. Give prob of picking 1 w and 1 r.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-72720*x + 72720*x + 45*x**2 - 6)*(3 - 3 + 2)*(3 + 2*x - 3)*(0 + 2*x + 0) to i*x**4 + g + n*x**3 + v*x + q*x**2 and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: -5*192978\nAnswer: -964890","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 0.02721 - 0.0273162. Round b to four dps.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.2 in 1\/2, 2200, 4, -0.028?\nAnswer: -0.028","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) 68\/9  (b) -1\/3  (c) 76  (d) -7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose a = -2*s - a + 6, -3*s + 5*a + 1 = 0. Suppose 0 = n + s*o + 225 - 1446, -3627 = -3*n + 3*o. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: 56988 (base 10) to base 13\nAnswer: 1cc29","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-4)\/(-12)*1*3. Is 10 a factor of y\/(2*1\/60)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -443 - 0.04.\nAnswer: -443.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (h\/(h\/(h\/(h**(-2\/7)\/h))))**19*(h**1)**(-2\/51)*(((h\/(h\/((h*h*h*h**(-3)*h*h*h)\/h)))\/h)\/(h\/h**(-1\/2)))**(9\/4) assuming h is positive.\nAnswer: h**(120707\/2856)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -5 in 0.5, -5, 1\/3, 7\/2, 4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Does 8 divide 289?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2103.\nAnswer: 3, 701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 6 + -3. Let j = 134 + -26. Suppose y = -q*y + j. What are the prime factors of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2 + 6 + -3 - (-4 - -4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-10680)\/101460*(-1083)\/(-1)?\nAnswer: -114","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1137223?\nAnswer: 61, 103, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 18*k - 6055 = 11. Is k a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3*(-2 + 3*(1*(-5*-1*sqrt(76) - 2*(sqrt(76) - sqrt(76)*1)) + 5)))**2.\nAnswer: 7020*sqrt(19) + 155421","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: -17 (base 13) to base 10\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4 + -1*(-1 + (-2 + 4*sqrt(125))*-3).\nAnswer: -1 + 60*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 449897 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -6*h**3 + 3*h**3 - 4*h**3 + 8*h**3 - 6.\nAnswer: h**3 - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 f when two letters picked without replacement from {v: 6, w: 1, u: 1, f: 4, p: 1, d: 2}?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 5358095 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let u(k) = 122*k**2. Let q(s) = -4*s**2 + 10*s. Let f(z) = 2*z**2 - 4*z. Let h(i) = -5*f(i) - 2*q(i). Calculate h(u(y)).\nAnswer: -29768*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Convert -3198 (base 10) to base 5.\nAnswer: -100243","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -67, -101, -123, -121, -83, 3, 149, 367?\nAnswer: 669","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 16141, 16132, 16117, 16096, 16069, 16036, 15997?\nAnswer: 15952","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4 + 6 = 2*p. Let h be p\/1 + (-10)\/(-2). Let u be ((-6)\/(-54))\/((-2)\/h). Is u >= 0.01?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 1447*x**6 - x**2 + 347 wrt x.\nAnswer: 173640*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 29122589, 58245176, 87367763, 116490350, 145612937, 174735524?\nAnswer: 203858111","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b(f) be the third derivative of 4559*f**4\/24 + 2077*f**3\/6 + 905*f**2 - f. What is the first derivative of b(k) wrt k?\nAnswer: 4559","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {b: 1, p: 3, y: 5, x: 1, a: 2, t: 1}. Give prob of picking 2 y, 1 b, and 1 t.\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-768)\/(-360) - (-22)\/(-165). Suppose -14 + 4 = -2*y. Let r be (8\/y)\/((-11)\/(-15)). Which is greater: r or g?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 11156\/83445 + -2\/5563. Let k = -0.01 - 3.99. Let f = -3.7 - -8.7. Which is the nearest to z?  (a) f  (b) 3  (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 9b0 + 41?\nAnswer: a21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let m(d) = 24*d**2. Let h(a) = -8886 + 8886 + 3*a. What is h(m(t))?\nAnswer: 72*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: 3 divided by 3\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: (-20)\/(-14)*35364\/(-4210)\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1?  (a) -4\/5  (b) 25  (c) -0.2  (d) -1287\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -18*u**3\/7 + 754*u**2\/7 - 7040*u\/7 - 18392\/7 = 0 for u.\nAnswer: -19\/9, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 129 + -125. Let z = -0.1 + -0.4. Put l, z, 0.4 in increasing order.\nAnswer: z, 0.4, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -2\/5 in -3, 7\/2, -0.5, 2?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-398)\/(-16) + (-16)\/(-32) - (-3)\/(-8)) + 1?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -58*z - 66*z - 620 = 0. Which is the fourth smallest value?  (a) 2\/13  (b) -9\/2  (c) 22  (d) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 392 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let f(a) = 35*a + 1. Let d(q) be the second derivative of -q**4\/3 - q**3\/6 - 87*q + 9. Give d(f(l)).\nAnswer: -4900*l**2 - 315*l - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let l(m) be the first derivative of 2*m**3 + m**2\/2 - 4*m + 816. Give l(2).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"}
{"text":"Question: Sort 1, -39, -4, -1, 4, -5, 305 in descending order.\nAnswer: 305, 4, 1, -1, -4, -5, -39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 14201102 (base 7) in base 13?\nAnswer: 3766b2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u(g) = g**3 - 12*g**2 - 2. Let r be u(12). Let f(o) = o - 7. Let c be f(8). Let w be -12*1\/r - c. Solve -j + 2 = w*z - 20, 3*j + 10 = 4*z for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 525 (base 6) to base 4\nAnswer: 3011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*i = -5*h + 3*i + 791, 5*i = 5*h - 775. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 46\/1150271 smaller than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify l**(2\/51)*l**(4\/3)*l**(-25)*(l\/(l*l*((l**(-10\/7)\/l)\/l)\/l*l))\/l assuming l is positive.\nAnswer: l**(-7925\/357)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: -11033232101 (base 4) to base 3\nAnswer: -2120212022102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Express 16221568 - 16221568 - 370*m as k*m + n and give k.\nAnswer: -370","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 7196 + -7180. Suppose -d - 2*d = -27. What is the remainder when c is divided by d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be -5*(-4 + (-46)\/5). Let p = j + -7. Is p a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 117 a factor of 24757?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*h = -8, 3*l - 3*h - 279 = 258. Let n(r) = r**3 - 43*r**2 - 95*r + 248. What is the remainder when l is divided by n(45)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 38, 48, 58?\n\"Answer: 10*q + 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: How many seconds are there in 3\/10 of a hour?\nAnswer: 1080","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*q = 4*h + 4 - 0, -3*q + 5*h = 1. Suppose y = -2*o + 33 - 2, y = -q*o + 35. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-115 - 57 + 30 - 27)*(2 - 2*j**4 - 2) as z*j**3 + t + h*j**4 + u*j**2 + a*j and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let z(n) = -n**2. Let v = 7 - 7. Let u(g) = -4*g + 4*g**2 + v*g + 4*g**2 + 3*g. Give -u(p) - 6*z(p).\nAnswer: -2*p**2 + p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 6105527 divided by 5.\nAnswer: 6105527\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 40\/36*(-108)\/(-96).\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 31112 divided by -7778?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 3 plus -472063513?\nAnswer: -472063510","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -4 + 113?\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*d**4\/7 - 48*d**3\/7 + 270*d**2\/7 - 568*d\/7 + 408\/7 = 0 for d.\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -l = 4*l - 3*j - 47, 4*j - 5 = -3*l. Suppose -l*v + 12 = -v. Let n = 254 - 249. Solve v*f - f + n = 0 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*f - j + 18 = 0, 77*f = 79*f + 5*j for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -15437, -30908, -46383, -61862, -77345, -92832?\n\"Answer: -2*k**2 - 15465*k + 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -81*a + 78*a - 2*f + 466 = 0, -4*a + 5*f + 629 = 0. Solve 32*d + 60 - a = 0 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -393064, -786134, -1179204, -1572274?\nAnswer: -1965344","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"}
{"text":"Question: Solve 3*w = 180, 0*w - 241 = 5*s - w - 196 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((k*k*k**(2\/9))\/k)\/(k\/k**5))**(-26) assuming k is positive.\nAnswer: k**(-1222\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Does 3 divide 172?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 7 + (0 - 0) + 0. Suppose 2*l - v*l = -20. Let u = 14 - -4. Solve s + 3*s - 2*j = -u, -l*j - 4 = 0 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(x) = x**2 - 14*x + 2. Let r be c(14). Suppose 0 = -35*j + 36*j + r. Is ((-3)\/j)\/((-3)\/(-20)) a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(z) = -z - 4. Let c be m(-7). Suppose 0 = -c*r + 6*r + 26100. Round r to the nearest one thousand.\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 264994652 and 2492.\nAnswer: 356","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve r**2\/2 + 8*r - 17\/2 = 0.\nAnswer: -17, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from drdhrhhd. What is prob of picking 3 d?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 364 - -505?\nAnswer: 1202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2211*o + 2204*o + 42 = 0. Let h(r) = -r + 8. Let x(y) = 3*y - 23. Let w(u) = -8*h(u) - 3*x(u). Calculate w(o).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 2280 to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 3 - (3 + 0 + -1). Solve 0 = h - 0*h - a for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, 37, -21 in decreasing order.\nAnswer: 37, -4, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Work out 5 * 4.4.\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let t(c) = -2*c**2 - 50*c + 4. Let i be t(-25). Factor -2\/5*y**i + 6\/5*y**3 - 6\/5*y**2 + 0 + 2\/5*y.\nAnswer: -2*y*(y - 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5*sqrt(44) + 5)*-5.\nAnswer: -25 + 50*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from hhshhhhhhhhhh. What is prob of picking 2 h and 1 s?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 5\/4 of a decade in months?\nAnswer: 150","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p(t) be the first derivative of -1\/72*t**6 + 32\/3*t**3 + 7\/24*t**5 + 35 + 0*t + 0*t**2 + 5\/3*t**4. Let k(b) be the third derivative of p(b). Factor k(m).\nAnswer: -5*(m - 8)*(m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*w + 4 + 6 = 0. Find the second derivative of 2 - 3*h + h**w - 2 wrt h.\nAnswer: 20*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3\/55 greater than -683?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2 in -1, -2.9, 3\/7, 0.1?\nAnswer: -2.9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let w(b) = b**2 - 20*b + 13. Let m(p) = -3*p. Give w(m(q)).\nAnswer: 9*q**2 + 60*q + 13","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -10\/63  (b) -110  (c) -1\/14\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -21.00000334 - -21. What is b rounded to 7 decimal places?\nAnswer: -0.0000033","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 s and 1 t when two letters picked without replacement from tssttsssttttssttttss.\nAnswer: 99\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 48 and 9.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is -48.6375 rounded to zero decimal places?\nAnswer: -49","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let l(m) = m + 2077. Let w(x) = -4*x**2. Give w(l(v)).\nAnswer: -4*v**2 - 16616*v - 17255716","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.9296624 meters to millimeters.\nAnswer: 929.6624","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 3 + -5 - (12 + -8 + -4).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Factor -75*z - 3227*z**2 + 11*z**3 - 4*z**3 + 3232*z**2 - z**4.\nAnswer: -z*(z - 5)**2*(z + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -2379 + 2095.8. Round x to the nearest ten.\nAnswer: -280","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -24101 - -3011?\nAnswer: -21040","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let t(x) = -11*x + 9*x + 4*x. Let w be t(1). Which is the second smallest value?  (a) -3  (b) w  (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2166*p = -552*p - 1003*p + 14311 - 96173 for p.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let d be ((1 + -2 - -1)\/(33 + -35))\/3. Let -18\/11*i**3 - 6\/11*i**4 - 6\/11*i - 18\/11*i**2 + d = 0. Calculate i.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 299  (b) 1\/4  (c) 68  (d) 33  (e) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -13*g**3 - 2*g**5 - 5*g**4 - 4*g**4 + 59645*g**2 + 2 - 58945*g**2 wrt g?\nAnswer: -120*g**2 - 216*g - 78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -21 + 26. Find the third derivative of 2*y**2 + 7*y**5 - 5*y**3 + m*y**3 - y**2 wrt y.\nAnswer: 420*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Do 4 and 1370\/261 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 33 - 30. Suppose -4 - 2 = o*p. Let a = 28 + p. Calculate the greatest common factor of a and 286.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -118*g**2 + 5*g**3 + 47 + 0 - 489 - 3*g**3 - 405 with respect to g.\nAnswer: 6*g**2 - 236*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 17836 divided by 30?\nAnswer: 8918\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let l(k) = -k**2 + 1. Let h(a) = 5*a**2 - 2. Let f(o) = h(o) + 4*l(o). Let c be f(2). Suppose -4*w = -2*z - 22, -3*z + w = -33 + 31. Solve -z*t + c = -6 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(n) be the third derivative of -n**5\/150 + 7*n**4\/60 + 44*n**3\/15 - 8*n**2 - 23. Solve k(s) = 0.\nAnswer: -4, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.010544 rounded to 3 dps?\nAnswer: -0.011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 31, 16, -5, -32, -65?\n\"Answer: -3*d**2 - 6*d + 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 5640 and 10340.\nAnswer: 62040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -2 - -1. Let f be 2*(-2 - l - 1). Put 4\/9, 3, f in decreasing order.\nAnswer: 3, 4\/9, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(k) = -2*k**3 + 77*k**2 + 10*k + 156. Is z(38) a multiple of 90?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -659 divided by -16?\nAnswer: 659\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 1083, 1281, 1449, 1587, 1695, 1773?\n\"Answer: -15*m**2 + 243*m + 855","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -12758 - -12761. Let v(y) = -5*y + 13. Let w(l) = l. What is m*w(z) + v(z)?\nAnswer: -2*z + 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: 4354146 (base 8) to base 4\nAnswer: 10131201212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Factor b**3\/4 - 4176065*b**2\/2.\nAnswer: b**2*(b - 8352130)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -631511 - -3?\nAnswer: -63150d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 b, 1 w, and 1 r when three letters picked without replacement from bruswbaa.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let u(f) be the second derivative of f**7\/21 + f**4\/4 - 53*f**3\/6 + 52*f. What is the second derivative of u(p) wrt p?\nAnswer: 40*p**3 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 1332, 1334, 1338, 1344?\nAnswer: 1352","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*s**3\/11 + 23632*s**2\/11 + 2436096*s\/11.\nAnswer: 2*s*(s + 104)*(s + 11712)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: 13 (base 4) to base 10\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 637?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(500)\/(-4*sqrt(10)).\nAnswer: -5*sqrt(2)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Convert -65 (base 7) to base 6.\nAnswer: -115","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3218*m - 15246*m - 4777*m - 15088*m.\nAnswer: -31893*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let s(r) = -r + 3. Let j = -4 - -7. Let g be s(j). Suppose -3*x + 5*b - 6*b + 23 = g, 5*x = 3*b + 43. What is the highest common factor of 32 and x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 42.5 + -43. Let c = 10.3 - 11. Put 1\/2, c, i in increasing order.\nAnswer: c, i, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -15\/1207 and -41\/170?\nAnswer: 12070","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let w be -40*4\/6*-9. Suppose -4*m - w = -5*u, -12 = 4*m + 8. Suppose 5*o - o = u. What is the remainder when o is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(b) = 5*b - 12. Let y(f) = -f. Let o(l) = 6*y(l) + z(l). Let a be o(-8). What are the prime factors of a\/(2*1\/(-6))?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be ((-4)\/(-10))\/(20\/25)*8. Let u be (167 + -4)\/(i - 3). Suppose -f = -u + 137. What is the smallest common multiple of 2 and f?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-2)\/(-15) + 117*(-496)\/(-2160). Let b = 5 + -11. Let v be (-320)\/1764 - b\/w. Which is smaller: v or 1?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 4265009.1 rounded to the nearest one thousand?\nAnswer: 4265000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -731*-0.1902.\nAnswer: 139.0362","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 3 in -0.048, -1\/5, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 1 + 2. Let n = 102.7 + 308.3. Let s = -410.6 + n. What is the second biggest value in b, -1, s, -0.1?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 2865?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(1944) - -1*sqrt(1944))\/sqrt(12) - (sqrt(8) + -2*sqrt(648))\/sqrt(4))**2.\nAnswer: 2450","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 161*c**3*o - 2*c**3 + 2*c**2*o - 814*c**2 - 257*c*o - 15*c - 9*o + 1 wrt o?\nAnswer: 161*c**3 + 2*c**2 - 257*c - 9","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is a7 - 7?\nAnswer: a0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 763*a + 491*a - 1256*a.\nAnswer: -2*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -46, -85, -126, -169, -214, -261?\nAnswer: -310","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -18\/17 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: -2782.81 * 0.2\nAnswer: -556.562","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Put together 2.08 and -1443.069.\nAnswer: -1440.989","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:52 AM and 11:55 AM?\nAnswer: 243","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 0.2, 0, 106?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -r + 19 - 52 = -4*a, r + 15 = 2*a for a.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is -353362 divided by 547?\nAnswer: -646","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let h(k) = k**2 + 424*k + 1677. Calculate h(-4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*y = y - 8. Let u be y\/2 - (-13 + -2). List the prime factors of -5 + 3\/1 + u.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -168 = -3*v + 4*g, 4*g + 0*g - 168 = -3*v. Is v a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify c**(-5\/3)*c**(5\/6)*c**(-3)*c*c*c**3\/c*(c**(2\/7)*(c\/(c\/(((c*((c*c**(-7)\/c)\/c*c)\/c)\/c*c)\/c)*c))\/c)\/(c**(-3)\/(c\/c**(-4\/3))) assuming c is positive.\nAnswer: c**(-59\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve 56 = -429*c + 415*c for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 2 + 12. Let w(i) = i**2 - 11*i - 22. Let f be w(j). Suppose -6*u + f*u + 210 = 0. Is u less than -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 1 - 0. Let q be (-1 - -37 - 1) + r. What is the remainder when ((-6)\/(-8))\/(1\/q) is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (35\/6 - 5)*4\/(8\/(-6))?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Express 12*k - 9*k - 3*k**2 + 18*k**2 + 2*k**3 as u + p*k + i*k**3 + f*k**2 and give f.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let g(u) = 934*u**3 + 2*u - 5. Let z(a) = 933*a**3 + 2*a - 8. Give 3*g(n) - 2*z(n).\nAnswer: 936*n**3 + 2*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let s(f) = 27*f**2 - 7*f + 6. Let j be s(1). Solve -15 = -a - 5*q, 5*a + 3*q - j = a for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -25867, -4, 84 in descending order.\nAnswer: 84, -4, -25867","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4*u**2 + 1 - 1)*(6 + 4 - 6*u**2 - 9).\nAnswer: -24*u**4 + 4*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is -211212 (base 4) in base 6?\nAnswer: -15050","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, 5, 3, 4, 17.\nAnswer: 2, 3, 4, 5, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 34*s**2 + 32*s**2 + 34*s**2 - 98*s**2.\nAnswer: 2*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 11 + -2. Suppose -g = -0*w - 3*w. Solve 2 = i + w for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(d) = 10*d**2 + 201*d - 1191. Calculate m(-25).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let c(j) = j**2 - 12*j - 26. Let r be c(14). Let u(k) = 4*k**2 - 2. Calculate u(r).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(u) = u**3 + 11*u**2 + 6*u - 1. Let i be p(-12). Let c = i + 1951\/9. Let h(x) = x**3 + 4*x**2 - 3*x + 7. Let o be h(-5). Sort 2, c, o in descending order.\nAnswer: 2, c, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: -2cf2e (base 16) to base 2\nAnswer: -101100111100101110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5\/3*f**2 - 4\/3*f + 0 - 1\/3*f**3 = 0.\nAnswer: 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose m - 148 = 3*r - 1424, 0 = 5*r - 5*m - 2110. Calculate the remainder when r is divided by 32.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 13127 + 34*b**3 - 13127 - 12*b**3.\nAnswer: 22*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -w + 2*l = -1884, -l - 2313 = 3*w - 7937. Let k = w + -15041\/8. Calculate the common denominator of -81\/2 and k.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0 in -1.5, -0.02, -2\/9, -12?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -27029 + 26692. Is l less than 31?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 110 minutes before 9:46 AM?\nAnswer: 7:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -225 + 1356. What are the prime factors of v?\nAnswer: 3, 13, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 4023 and 27267?\nAnswer: 447","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 25\/8 and 41\/1036?\nAnswer: 2072","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let s(p) = -2*p**2 - p + 1. Let q(a) = -a. Let f = -18 + 19. Calculate f*s(v) - 3*q(v).\nAnswer: -2*v**2 + 2*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let v(p) = -578*p + 2. What is the units digit of v(-1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 421539011*k**5 - 445771651*k.\nAnswer: 8430780220*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -708414*a**3 + 14*a**2 + 189*a - 93?\nAnswer: -4250484","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 5385, 16553, 27721?\n\"Answer: 11168*l - 5783","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -768 + 258 - 128*o**3 + 252 - 83*o**3 + 258.\nAnswer: -211*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 1707057 and 22.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 3 + 2818?\nAnswer: 2822","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -940, -1142, -1476, -1948, -2564, -3330, -4252, -5336?\nAnswer: -6588","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -336 - -3609. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 663 minutes after 6:55 AM?\nAnswer: 5:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -0.2, 0.08, 2, 6\/233?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: 382 * 225\nAnswer: 85950","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -2038, -2031, -2010, -1969, -1902?\n\"Answer: y**3 + y**2 - 3*y - 2037","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2425*c + 114886 = 3479*c for c.\nAnswer: 109","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 i and 1 a when two letters picked without replacement from arrivir?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*g - 2 = -4*g. Let c be (-36)\/(-21) + g\/7. What is the common denominator of c\/4*(-222)\/(-10) and 41\/6?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*o - 2*o = 50. Suppose 3*t = 4*n - o, -3*n - 2*n = 2*t - 37. Let j(s) = 2*s**3 - 10*s**2 + 2*s - 7. Is j(n) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 439 and 7?\nAnswer: 3073","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -7*g**2*q*u**2 + 55*g**2*q*u*z**2 + g**2*q*z**2 - 144*g**2*u**2*z**3 + g**2*u*z**3 - 2*g**2*u + 3*g*u*z**3 + u**2 wrt u.\nAnswer: -14*g**2*q - 288*g**2*z**3 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Does 145 divide 3180?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, 1, -4, -362, 2 in descending order.\nAnswer: 2, 1, -3, -4, -362","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 0.52 + -1.12. Let k = -16.4 - -14. Let n = k + f. Which is the biggest value?  (a) 2  (b) -2\/11  (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -1 + -6 + 1 + (5 - 0)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 1462 divided by 43\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 51 is divided by 38.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is -6363\/4 less than or equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let t(h) = 10*h + 67. Determine t(-7).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Round 54.2416 to zero dps.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 30895116.\nAnswer: 2, 3, 7, 197, 1867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2 + sqrt(288) - sqrt(288) - sqrt(288))**2 - (sqrt(242) + 0).\nAnswer: -59*sqrt(2) + 292","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 18746 is divided by 19?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*f + 10644 = -4*l + 10696, -5*f - 52 = -4*l. Find z such that 4\/5 + f*z - 1\/5*z**2 = 0.\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(q) = q**2 - 5*q - 6. Let b be x(6). Solve -3*c + 3 = -b for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*r + r - 3*r)*(7*r - 15 + 15 + 2*r).\nAnswer: -18*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {b: 4, q: 1, r: 1, t: 1, x: 1}. What is prob of picking 1 b and 1 r?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Product of -2922 and 0.4.\nAnswer: -1168.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -0.086  (b) 8  (c) -1\/8  (d) -11  (e) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: 4724 + -4729 + (-18 + 1 - 2)\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 55352.32t to micrograms.\nAnswer: 55352320000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 14 + -9. Let q be (-1)\/(-2) - -1 - (-39)\/9. Let o = q - 31\/6. Which is the third smallest value?  (a) o  (b) 0  (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 19798 + 71506 = 904*k for k.\nAnswer: 101","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*l + 7 = -17. Suppose l*m = 2*m + 324. Suppose -2*v + 44 + m = 0. Does 30 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -27252785 by 163.\nAnswer: -167195","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 80142?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1078614666?\nAnswer: 2, 3, 43, 1393559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let x(h) = -h + h + h + 0. Let j(f) = -1. Let d(y) = -2*y - 6. Let k(w) = d(w) - 6*j(w). Calculate k(x(z)).\nAnswer: -2*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: -2 (base 6) to base 4\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 51\/(-7) - (-2)\/7. Let l = 4 + w. Let g = -4 - -2. Sort 2, g, l in increasing order.\nAnswer: l, g, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(i) = 7*i**3 + 15*i**2 - 91*i - 129. What is w(-4)?\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let g(k) = 112*k**2 - 18*k + 160. Let r be g(15). Does 8 divide 10\/(-2) - r\/(-26)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -514, -1022, -1530, -2038, -2546, -3054?\nAnswer: -3562","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence kp when two letters picked without replacement from zzkpz?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 4461418 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 3 - 2. Let p be 210\/12*(-2)\/(-1). Suppose p = f + 4*f. Calculate the smallest common multiple of f and w.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(f) be the second derivative of 9\/35*f**5 + 82*f + 4\/105*f**6 - 25\/14*f**2 + 0 - 15\/14*f**3 + 13\/42*f**4. Let o(u) = 0. What is u?\nAnswer: -5\/2, -1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 114948*f**2 - 44639*f**2 + 40130*f**2 + 143899*f**2.\nAnswer: 254338*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 249?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (33\/9)\/((-1)\/(-3)). Let c(t) = 151*t + 588. Let i be c(-2). What is the greatest common factor of i and x?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 124 + -100. Let q be (-2 - 49\/21)\/((-2)\/x). Calculate the greatest common divisor of q and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(i) = 55666479*i. Let q(l) = -l. Give h(q(r)).\nAnswer: -55666479*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1 divided by -140.\nAnswer: -1\/140","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 828 and 46179.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 3.15489481 - 1436.62188281. Let v = -1433.4 - p. Let u = v - 0.067. What is u rounded to five dps?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 0.045 - -107.955. Is -1 < a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 153547.\nAnswer: 233, 659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -15167 + -11?\nAnswer: -15178","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 1d9 - 2?\nAnswer: 1d7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 494 and 39.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 8 - 3. Suppose 0 = 4*r - 3*p - 215, 5*r + t*p - 101 = 3*r. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 341 a factor of 547987?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve -36*i + 41*i - 45 = 5*n, 5 = 5*n + 5*i for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 11 - ((-9 - (3 + -8)) + 1)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from vwwvwvvvkvkpvvvkvwv. What is prob of sequence pkw?\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -6 + 12 + (0 - 1) + -3.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 59*q - 269 = 262. Solve 0 = 8*s - 25 + q for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 140*q - 2*q**2 - 455*q + 8948 + 158*q + 157*q to the form d*q + w*q**2 + l and give l.\nAnswer: 8948","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 72 is divided by 9?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let v(k) = 3*k + 36. Let p(c) = -12*c - 132. Let z(t) = -3*p(t) - 11*v(t). Let h(g) = -5*g**2 - 155*g. Calculate h(z(a)).\nAnswer: -45*a**2 - 465*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:19 PM and 4:45 AM?\nAnswer: 386","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -19 - -22. Suppose 12 = 4*d - 8*d - 4*q, -15 = -l*d + 3*q. What is the units digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 b when three letters picked without replacement from {a: 3, b: 9}?\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -6.37 - -6.3444. Let w = c - -0.02559742. What is w rounded to 6 decimal places?\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(t) = -t**3 + 8*t**2 + 2. Let o(z) = 7*z**2 + 2*z - 1. Let j be o(1). Let m be y(j). What is the third derivative of m - i**2 - 2 - 2*i**6 wrt i?\nAnswer: -240*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -0.4 times 25.1\nAnswer: -10.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {c: 7, m: 5, r: 7}. What is prob of sequence mr?\nAnswer: 35\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 53024 is divided by 5299?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*c + 55*t - 58*t - 30 = 0, 0 = 2*c - t - 5 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 1 - -1511?\nAnswer: 1512","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (2 - (2 - 1))*3. Suppose 4*a - 3*s + 2*s - 16 = 0, x*a = -4*s + 12. Calculate the remainder when a is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 o and 1 m when three letters picked without replacement from lootmwtmwwft.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 73\/41924 and 25\/125772?\nAnswer: 125772","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -86 - -90. Solve 2*z = s + d, 5*s = 5*z - 2*z - 20 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (c\/(c*c**(3\/5)\/c*c))\/(c\/(c**13\/c*c))*(c\/c**(8\/3)*c)\/(c*c*c**(2\/5)) assuming c is positive.\nAnswer: c**(25\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*q - 5*u = -45, -u + 1 = 2*q - 14. Let i be q\/((-2)\/(-2 + 0)). Is (4 - i)\/(2\/(-12)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -628\/5271 + 6\/251. Let v = -59 - -39. Which is the third biggest value?  (a) v  (b) i  (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(z) = -2*z - 12. Suppose x - 1 + 5 = -w, -2*w + 13 = -x. Let s be q(x). Suppose -4*r + 12 = -0. Solve d - r*d = -5*p + s, -5*p - 2 = -3*d for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 41?  (a) -3.6  (b) 2\/5  (c) 0.23  (d) -2  (e) 1\/2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -6?  (a) -3\/2  (b) 5  (c) -54\/17  (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(270)\/(sqrt(6)*1))**2 + ((sqrt(180) + -2)*5)**2)*-3.\nAnswer: -13935 + 1800*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose k = 2*l + 4*k - 36, 0 = -4*l + 3*k + 36. Let b be l\/2 - 4\/2. Is b\/6*(-603)\/(-6) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -3344 - -3349. Put u, 0.0437, 2 in decreasing order.\nAnswer: u, 2, 0.0437","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(j) = -j**3 + 95*j**2 + 58 - 71*j**2 + 27*j - 48*j**2. Let d be i(-25). Suppose -p = 4*t + 1, 3*p - d = -2*t + t. Solve -12 = -p*c - c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1\/3 in 12, 3, -2, 4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*j - 5*s - 27 = 0, -4*s + 0*s - 12 = 0 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*h - 2*h - 504 = 0. Suppose 18 = -2*g + h. Suppose 6*f - f - g = 0. Does 10 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 4\/((-16)\/(-12)) - -6. Suppose 23 = w - m. Calculate the remainder when w is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 298690?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let c(g) = -39*g + 1979. List the prime factors of c(0).\nAnswer: 1979","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 3.89 + 0.11. Let s = 772 - 771.134. Let x = s + -0.666. Which is the third biggest value?  (a) y  (b) x  (c) -0.11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:20 PM and 4:36 PM?\nAnswer: 76","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let l(b) = -2*b**3 - 5*b**2 - 81*b - 10. List the prime factors of l(-7).\nAnswer: 2, 499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor m**3\/3 - 36*m**2 - 1531*m\/3 - 1694.\nAnswer: (m - 121)*(m + 6)*(m + 7)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let r(i) be the second derivative of -i**5\/2 - 4*i**3\/3 - 2*i. What is the second derivative of r(c) wrt c?\nAnswer: -60*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 358\/2303029 less than or equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -8 or -7215\/961?\nAnswer: -7215\/961","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 130 - 138. Let i be 1\/(4 + 1 + 36\/q). Solve -20 = -i*x - 2*x for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3*x**3 - 3804637*x - 6 + 5 + 3804637*x + 1.\nAnswer: 3*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let j(u) be the second derivative of 0*u**4 + 1\/6*u**3 - 1\/20*u**5 - 1 - 2*u**2 + 22*u. Determine j(0).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 440\/819 - 852154\/1586403. Is j greater than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 21 - 37. Let u = f + 32. List the prime factors of u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 207763, 831106, 1870007, 3324466, 5194483?\nAnswer: 7480058","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 1d - -e6?\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 391 minutes before 3:57 PM?\nAnswer: 9:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1109.06 or -162.6?\nAnswer: -1109.06","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 168.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let l(c) = -c**3 - 8*c**2 - 4*c - 1. Determine l(-7).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: -0.04 times 9.783\nAnswer: -0.39132","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let s(x) = x**3 + 27*x**2 + 70*x + 22. List the prime factors of s(-23).\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 56275 is divided by 11247.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"}
{"text":"Question: Is (27\/(-15) + 3)*60 a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 74 a factor of 148?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 37966323 is divided by 4860.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: 0.1086 * 0.07\nAnswer: 0.007602","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((z*z**(4\/3)\/z)\/z*z**(-3))\/((z\/((z**(1\/4)*z)\/z))\/(z**(2\/3)\/z))*((z\/(z**4\/z*z*z))\/(z*z\/z**(8\/5)*z))**(-29\/3) assuming z is positive.\nAnswer: z**(969\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let l(n) = 370501*n - 81. Let b(f) = 2*f**2. Give l(b(q)).\nAnswer: 741002*q**2 - 81","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -754*o**4*x**3 - o**4*x + 2*o**2*x**3 + 1051*o**2*x wrt o.\nAnswer: -18096*o*x**3 - 24*o*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -1 + 69. Suppose 82 = 5*u - 4*q - 14, -4*u + c = -q. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 2*u**4 - 383426*u**2 - 1662037 wrt u?\nAnswer: 8*u**3 - 766852*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -5*c + 11 + 0*c - 8 - 3.\nAnswer: -5*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 21559396 to the nearest integer?\nAnswer: 4643","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -ec + -31?\nAnswer: -11d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 9447913.\nAnswer: 37, 255349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let g(j) be the first derivative of -j**2 + 18*j - 63. Calculate g(10).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 64 divide 1921?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let u(g) = -5*g**2 + 9*g - 10. Let n(d) = -d**2 - 1. Let v(y) = 6*n(y) - 2*u(y). What is the hundreds digit of v(9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -2 - -1. Let j be (r - 59)*6\/(-12). Calculate the greatest common factor of j and 75.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*n + 3*n = 0. Let q = n + 14. What is the units digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -362821008 divided by -528?\nAnswer: 687161","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 5182 - 2497. What is the thousands digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2 - f**3 + 25\/3*f**2 + 2\/3*f**5 - 7\/3*f**4 - 23\/3*f = 0. What is f?\nAnswer: -2, 1\/2, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {t: 7, k: 6, j: 4}. What is prob of picking 2 k?\nAnswer: 15\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 2, -0.3, -1, 1\/7?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -76*d = -112*d - 36*d + 5112 for d.\nAnswer: 71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-12)\/(-96)*-8 + (-12)\/(-3). Let b = 25 + -15. Solve -5*w - 2*h + b = -h, -d*w - 4*h = 11 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {k: 4, u: 1, h: 11, r: 1, n: 1}. Give prob of picking 1 u and 1 h.\nAnswer: 11\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -5 + 5.8. Let p = -65 - -69.2. Let t = p + y. Which is the smallest value?  (a) 0.4  (b) -0.4  (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(w) be the second derivative of 1\/9*w**3 + 0 - 6*w + 0*w**2 + 1\/36*w**4. Determine s, given that t(s) = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1280264 at least as big as 1280264?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 14\/105*17*33945\/1054.\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 622201 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: How many litres are there in 13.65849ml?\nAnswer: 0.01365849","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 11 + -110010010100000011010010?\nAnswer: -110010010100000011001111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let a(f) = -57*f - 2492. What is a(-44)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 3257854*u**3 - 7985221*u wrt u?\nAnswer: 19547124*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 7172 and 344908?\nAnswer: 652","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"}
{"text":"Question: Solve 3*a = -4*u - 22, 5*a + 7529 - 7507 = -3*u for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 - 3 + 2)*(27769*d**2 - 21920*d**2 + 2901*d**2 + 24185*d**2 + 25797*d**2 - d**3).\nAnswer: 2*d**3 - 117464*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Does 7 divide 29652?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -230*h**2 + 230*h**2 + 7*h**3 - 3*h**3 - 2*h**3.\nAnswer: 2*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1101100011110110 (base 2) to base 11.\nAnswer: 38803","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 2032 and 1227074?\nAnswer: 254","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 19 = 4*m - 5*s, -5*m - 3 = -3*m - 5*s. Calculate the remainder when 65 is divided by m.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(n) = n + 5. Let q be c(-6). Let s = 0 - q. Let a be (-3)\/(-9)*-6 - -1. Put s, a, -3 in decreasing order.\nAnswer: s, a, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -20119, -40245, -60347, -80413, -100431?\nAnswer: -120389","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -4\/5  (b) 0.5  (c) -2\/1357  (d) -25\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*w + w - 2*w)*(3*w**4 - 4*w**4 + 2*w**4 + (w + 2*w**3 - w)*(3*w + 2*w - 2*w) - 2*w**4 + 5*w**4 - 4*w**4).\nAnswer: 12*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9 = 2*q + 1. Suppose 0 = 5*f - 5*i - 20, q = -i - i. Suppose 2*g - 10 = -5*n, -f*g + n + 21 + 13 = 0. Solve -o + g = -6*o for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 210680 and 325220?\nAnswer: 148950760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 464 and 58?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 624 minutes after 11:52 PM?\nAnswer: 10:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 1202 + -1198. Let j(m) be the first derivative of 0*m - 14\/3*m**3 + 0*m**q + 2*m**6 + 0*m**2 + 0*m**5 + 3. What is the third derivative of j(v) wrt v?\nAnswer: 720*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -80*i**2 - 1201316*i - 1201236.\nAnswer: -4*(i + 1)*(20*i + 300309)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -497 + 2451\/5. Calculate the common denominator of 97\/4 and x.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 11*q**3 - 26*q**3 + q**3 + 2*q**3 + q**3.\nAnswer: -11*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 4126*b**2*w**2 - 184935*b**2 + 14*w**3 - 2 wrt w.\nAnswer: 8252*b**2*w + 42*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 863 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 67169 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 631*d + 2740 + 124*d - 3383 wrt d.\nAnswer: 755","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 4 - (0 - 24\/4) - 5. Sort -2, -4, w.\nAnswer: -4, -2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*l - 4*k = -5*l - 12, l + 3*k = 9. What is the nearest to -4 in 1\/6, 4, -9, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0 + (-5 - (3 + 7)).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 10200220 (base 3) in base 12?\nAnswer: 1689","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 209 - 2066?\nAnswer: -1857","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -8036*u - 7584*u + 2*u**2 - 7567*u + 23187*u.\nAnswer: 2*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 3053 + -2061. What are the prime factors of b?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 3 - 23340145?\nAnswer: -23340142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -113\/477666 and -139\/2229108.\nAnswer: 6687324","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 479, 480, 481, 482, 483?\n\"Answer: r + 478","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1024.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (56\/42)\/((-2)\/(-66)). What is the remainder when 52 is divided by g\/(4 + -2) + -4?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(i) be the first derivative of -487*i**7\/7 - 4*i**3\/3 - 38*i + 176. Find the third derivative of p(b) wrt b.\nAnswer: -58440*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -2\/34165 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 16\/((-6)\/(-4) - -1) + -6?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 1227509\/108 + -11366. Let h = -2\/27 + p. Which is the closest to -1?  (a) -0.3  (b) h  (c) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*s + 16 = 2*d + 3*d, -3*s + 17 = 5*d for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 493 minutes after 5:53 PM?\nAnswer: 2:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -1 + -5 - (-350 - -352).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (5 - 2) + 0 + 47. What is the greatest common factor of 125 and c?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*s - 3 - 29. Suppose 10*w - 6018 = s*w. Is w\/12 - (-5)\/20 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:07 AM and 6:19 PM?\nAnswer: 492","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -s + 36 - 5 = 0. Does 5 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 632 + 193 = -11*z. Let i be 4\/5 - (-5)\/(z\/57). Sort -13, i, 7 in descending order.\nAnswer: 7, i, -13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 421.\nAnswer: 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is (-4)\/5 - 429\/(-55)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 390 and 612690?\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Does 62 divide 10230?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 0.538  (b) -3  (c) 0.4  (d) 2\/189  (e) 1  (f) 4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let d(z) = -z + 6. Let l be d(6). Let p be (1 - l\/(-1)) + 3. Solve 3*s - 11 = p for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 4 - (-2 + (-48)\/(-9)).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Express -3 + 3 - 23*f + 12*f + 2 in the form p + n*f and give n.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4 = -0*x - 2*x. Suppose 9 = x*t + 4*z - 9, 8 = 4*t + z. Solve -b - t = -k, -2*k - 4*b = -5*k for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 5, 110, 291, 554, 905, 1350, 1895?\n\"Answer: s**3 + 32*s**2 + 2*s - 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m(c) = -6*c + 71. Let v(w) = -2*w + 1. Give -m(h) + 2*v(h).\nAnswer: 2*h - 69","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*a**3 - 28920*a**2 - 378141372*a + 2847198098752.\nAnswer: 4*(a - 8519)**2*(a + 9808)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 73.77628ml in litres?\nAnswer: 0.07377628","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-6)\/(-1))\/(90\/(-540)).\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let c(d) = -d**3 - 33*d**2 - 62*d + 6. What is c(-31)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let b(i) = -i**3 + 9*i**2 + 9*i + 15. Give b(10).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 4056957 is divided by 32?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12768 = -31*t + 12*t. Calculate the highest common factor of t and 288.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*l**4 + 768*l**3 + 61578*l**2 + 1590528*l + 12867123 = 0.\nAnswer: -109, -19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -2470, -2474, -2478, -2482?\n\"Answer: -4*w - 2466","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (u\/u**(-2\/3)*u**(-6)*(u**5*u*u)**(-45))**(-21\/4) assuming u is positive.\nAnswer: u**(3353\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*r + 6 = -2. What is the tens digit of 15 - (1\/1 - r)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-65)\/(27300\/126)*1*4\/18. Which is smaller: b or 2\/153?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0138726 rounded to four decimal places?\nAnswer: 0.0139","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let j(l) = 16*l**3 - 3*l**2 + 2*l. What is j(2)?\nAnswer: 120","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is -4944\/1165 < -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -13*f**2 + 11682 - 11682.\nAnswer: -13*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Put -1232, -4, 5, 6, 166, -3 in descending order.\nAnswer: 166, 6, 5, -3, -4, -1232","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: -415509 divided by -3221\nAnswer: 129","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1175 - 1175 + 5*h**3.\nAnswer: 5*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 71072820 a multiple of 585?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let s(j) = 2*j + 1. Suppose 0 - 10 = 5*i. Let g be s(i). Let l be -2 + 8\/(5 + g). Solve 1 + l = -x for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -1\/1112 + -20569\/3336. Calculate the common denominator of q and 53\/20.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 116*g + 2 - 2*g**3 - 2.\nAnswer: -2*g**3 + 116*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -360 + 193. Put n, 1, 0.5 in descending order.\nAnswer: 1, 0.5, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:17 AM and 1:26 PM?\nAnswer: 609","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -51, -63, -81, -105, -135, -171, -213?\n\"Answer: -3*x**2 - 3*x - 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 510080 + -20?\nAnswer: 510060","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -4135 + 4151. Solve 0 = 3*s - 5*m - 1, n = 5*s + m + 5 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -169 + 196. Let n be (-4*(-4)\/(-120))\/((-9)\/y). Let u be (-2 + 1)\/(1\/(-5)). Put 0.2, n, u, 1\/3 in descending order.\nAnswer: u, n, 1\/3, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*q = 25, -24*y + 76*q = -27*y + 75*q - 12 + 47 for y.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*t - 7 = 4*d, 0 = -t + 3*d - 12 + 16 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*p - p = -c + 11, 0 = -4*p + 2*c + 28 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 o and 3 d when four letters picked without replacement from tordy.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 195\/10 - (-2244)\/264?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((z**(-2\/17)\/z)\/(z**(-2\/145)*z))\/(z**(-18))**(7\/6) assuming z is positive.\nAnswer: z**(46579\/2465)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let -2*p**5 - 984*p**4 - 161212*p**3 - 8894480*p**2 - 17309250*p - 8575000 = 0. What is p?\nAnswer: -175, -140, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Sum -30297 and -1.4918453853.\nAnswer: -30298.4918453853","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 101 - 1011110011100?\nAnswer: -1011110010111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 998?\nAnswer: 2, 499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-8)\/(-6)*(-3423)\/326.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -18476018, -18476016, -18476014?\n\"Answer: 2*g - 18476020","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 247, 480, 711, 940, 1167, 1392?\nAnswer: 1615","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 c and 1 w when two letters picked without replacement from ccwwcw?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let f(x) be the third derivative of -x**4\/8 + 17*x**3\/6 + 9*x**2. Let t be f(5). Solve 0 = -3*v + 5*s - 4 - 7, -t*s = 5*v - 23 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ljd when three letters picked without replacement from lddjm?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1 - 7 = -n for n.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 0.4 and 0.04?\nAnswer: 0.016","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 12 and 2685568.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2664*j - 2661*j - 2662*j + 7984*j.\nAnswer: -3*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -32, -2\/5, 348, 1\/6, -5, -2\/17?\nAnswer: -32","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 1129168 to the nearest integer?\nAnswer: 1063","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 24.73 - 25.73. Do j and -1067 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*k - 80 = -9*k. Let i be (-49)\/(-17) + k\/136. Solve -3*s = -0 + i for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 7311 a factor of 264022143?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is l in 0*l - l**3 + 0 + 1\/2*l**5 - 1\/2*l**4 + 0*l**2 = 0?\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -232 = -3*c - 4*i, c = -0*i + 2*i + 84. Calculate the greatest common factor of 100 and c.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 218*r + 164*r - 246*r + 473*r + 2.\nAnswer: 609*r + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 13*k = 120 - 2980. Let q = -203 - k. Solve 3*l - q = -8 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -2*w - 76*w**2 + 55*w**2 - 4*w**3 + 4*w + 3*w**3 + 271*w**2 as z + p*w**2 + a*w + d*w**3 and give p.\nAnswer: 250","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (7\/((-147)\/(-6)))\/((-192)\/(-84)).\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -82*t**5 - 35*t**2 - 2*t wrt t.\nAnswer: -4920*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in 5\/4 of a millennium?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d be ((-4)\/5)\/((-12)\/60). Solve -9*o = -d*o + 20 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(o) = 686*o. Let c(s) = -s**2 + 58*s - 156. Determine c(n(i)).\nAnswer: -470596*i**2 + 39788*i - 156","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 123921388?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let d(p) = -p**2 - 14*p - 14. Let j(a) = -a**3 + 7*a**2 + 7*a - 5. Let h be j(8). Let u be d(h). Let w be (-2 - u)\/((-1)\/3). Solve -r + w*r = -6 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from amtoc. Give prob of sequence atcm.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in eleven quarters of a millimeter?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 11, -37, -97, -175, -277, -409?\nAnswer: -577","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is c0b + -3?\nAnswer: c08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let q(z) = 6*z - 1. Suppose 4*w - 4*a = 16, 3*w + 5*a + 0 = -4. Is q(w) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 14223, 14220, 14217?\n\"Answer: -3*w + 14226","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-19 + 47 - 79)*(0 + b + 0) + (b - 2*b + 3*b)*(3 - 7 + 2) - b - 2*b + 4*b + (5 - 2 - 1)*(3*b - 4*b + 2*b) - 2*b - 2 + 2 to z*b + g and give z.\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -101100 - -1110111?\nAnswer: 1001011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 1581 or 306917\/194?\nAnswer: 306917\/194","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 53*q**2 + 62*q**2 + 118*q**2 + 19 - 298*q**2 to the form u + f*q**2 + r*q and give u.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 231594 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is (((-132)\/24)\/11)\/(4\/6)?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -18*g + 17*g. Which is bigger: 5\/61 or g?\nAnswer: 5\/61","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2 - 0 - (2 + -7).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.5, -0.07, -1\/7, 4\/19, 464 in descending order.\nAnswer: 464, 0.5, 4\/19, -0.07, -1\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*h = -7 + 289. What are the prime factors of h?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 7610 + -7610. Let q = 3\/101 + -131\/1010. Put q, -5, c in decreasing order.\nAnswer: c, q, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 1284 - 610. Let a = 29 + t. What is the hundreds digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 14*z = -3*z + 4*z. Let p(m) = -m**3 + 2*m**2 - 2*m + 18. Let o be p(z). Solve -20 + o = 2*r for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(b) be the first derivative of -16*b**3 - b**2 + 6*b**2 + 7*b**3 + 12 - 2*b**3. Find the second derivative of o(l) wrt l.\nAnswer: -66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3 + -6*((sqrt(76) + 2)**2 + 5) + -1 + 4 + (sqrt(76) + 1)**2.\nAnswer: -427 - 44*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -153 - -49053. What is r rounded to the nearest 10000?\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -838.2 + 838.1. What is the fourth smallest value in -0.5, 2\/5, 11\/13, y?\nAnswer: 11\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 149441 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-5)\/(-1) - (137038\/4653 - 0). Let z = x - -220\/9. Is -1 < z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(t) be the third derivative of 104*t**2 + 0 - 1\/945*t**7 - 2744\/27*t**3 - 7\/3*t**5 - t - 833\/27*t**4 - 43\/540*t**6. Determine j so that z(j) = 0.\nAnswer: -14, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -3?  (a) -0.74  (b) -4\/3  (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 315286216 a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 361 - 237. List the prime factors of l.\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 60 and 24.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 1*((-18)\/198 + 432\/33). Solve -z - j + 2 = -3*j, -4*z - c = -j for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -307 - -1839. What is the remainder when a is divided by 57?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(y) = -4*y**2 + 50*y - 11. Let f(j) = j**2 - 2*j + 2. Calculate -5*f(k) - i(k).\nAnswer: -k**2 - 40*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -160 - -160. Suppose -2*d = 7*h - 9*h - 128, p = -4*h - 4. Calculate the remainder when 503 is divided by d.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -5.69 - -7.59. Which is the third smallest value?  (a) t  (b) 0.4  (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -0.1 + 3.6. Let b = z + -5. Round b to 0 dps.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: -6063526585920+1\nAnswer: -6063526585919","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*q - 3*c = -6*c - 2, -3*c = -3*q + 18. Let b(s) be the first derivative of 2*s**3 - 3*s**2\/2 - 2. What is the units digit of b(q)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0 in 18, 1\/8, -2\/25?\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: 101001 (base 3) to base 16\nAnswer: 10f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) -1.62  (b) 113  (c) 2\/7  (d) 9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 1005 - 570. List the prime factors of n.\nAnswer: 3, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 2868958?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let t(f) = -3*f**3 + f**2 + 2. Suppose -9*v + 4 = -11*v. What is the units digit of t(v)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -265*w - 1312 = 1237*w - 7320 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (2*n**2 - 4*n + 4*n)*(-10 + 6 - 3) + 5 - 5 - 2*n**2 + (n + 0*n + n)*(-2 + 2 + 2*n) + 0*n**2 - 3*n**2 + 5*n**2 to q*n + r*n**2 + m and give r.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Do -1 and 422\/521259 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 5, 2\/7, 124, -5?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let i(w) be the third derivative of -61*w**4\/24 - w**3\/6 + w**2. Suppose -3*u = -7*u - 8. Let p be i(u). What is the highest common factor of 11 and p?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 10346 - 7190. What is the thousands digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:25 PM and 6:21 PM?\nAnswer: 176","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*w - 10931 + 10910 = -3*i, -9*w - 4*i = -35 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 2439 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 25006211 is divided by 124.\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let n(o) = 3*o. Suppose 2 + 3 = 5*s. Let b = 2 - s. Let v(l) = 5 + l - 6 + b. Calculate v(n(z)).\nAnswer: 3*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: 1018 * 0.3\nAnswer: 305.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 6.79300507 rounded to 1 dp?\nAnswer: 6.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 1148117025 to the nearest integer?\nAnswer: 33884","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 0.067 - -0.033. Which is the second biggest value?  (a) o  (b) 4  (c) 5  (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose z = 3*m - 3 + 12, 3*z - 3 = m. What is the third derivative of 4 - s**3 + z - 4 + s**2 wrt s?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 0, -25, 3, 1, 10, -1 in ascending order.\nAnswer: -25, -1, 0, 1, 3, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: How many nanograms are there in 3\/40 of a milligram?\nAnswer: 75000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 18 - -18. Suppose -46 = -4*g - g - 2*k, 2*k - f = -4*g. Suppose g = -v + 3*l, -3*v = -3*l - 2*l + 10. What is the units digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*p - 337 = 5*h, -4*h = -5*p - 188 + 598. What are the prime factors of p?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(w) = -7*w**2 - 1000*w - 804. Give d(-142).\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let k(b) = 5*b**3 - 4*b**2 + 3*b + 2. Let g be 4 - 6\/(-4)*4. Suppose h - g = -8. What is the least common multiple of 9 and k(h)?\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -3 + 3. Suppose 0 = 5*t - 40. Suppose t = 5*y - 2. Solve h*c = -y*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: (7 + 4 - 3) + -8 + -8\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (3\/(-5))\/(1\/(-5)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(12) + -1 + 1 + (sqrt(363))**2.\nAnswer: 2*sqrt(3) + 363","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3 + ((0 + sqrt(1900))*-1 - sqrt(1900)) - (sqrt(1900) - (sqrt(1900) + sqrt(1900) + 1 + -1) - 6*sqrt(1900)*-1))**2.\nAnswer: 420*sqrt(19) + 93109","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((x*x**(3\/2)*x*x**(1\/3)*(x\/(x*x**(-1)*x))**(-2\/37))**(-8\/7))**5 assuming x is positive.\nAnswer: x**(-460\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8 = -4*b, 4*s + 0*b - b = 14. Suppose -n = 2*u + s*n - 4, 2*u - 4 = 3*n. Suppose -8 = 5*o - 3*o. What is the third smallest value in u, o, -3?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(440)*1*-6 - sqrt(440))\/((sqrt(66)*-1)\/sqrt(6))*4)\/(sqrt(16)\/sqrt(2)*5 - 1*sqrt(8)*1 - -6*-2*sqrt(8)*5).\nAnswer: -sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 7323 is divided by 1794?\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 4841 divided by 323?\nAnswer: 4841\/323","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -0.4  (b) 2  (c) 107  (d) -9  (e) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: 152735 (base 10) to base 11\nAnswer: a4830","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 4*a**3*i**2 - 6*a**3*i + a**3 + a*i**2 - 34*a - 2*i**2 wrt a.\nAnswer: 24*a*i**2 - 36*a*i + 6*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 10 - (2 + 0) - (241 - 240).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -79483*u**2*w**2 - 71*u**2*w + 168*u**2 + 325*u + 12 wrt w.\nAnswer: -158966*u**2*w - 71*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -4 + 146386?\nAnswer: 146382","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let m(l) = 13*l + 1. Let q be m(1). Suppose 0 = 7*c - q - 14. Suppose -i - 3*y = -2*i + 4, -c*i + 5*y + 37 = 0. What is the remainder when i is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 4135.108 litres in millilitres?\nAnswer: 4135108","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 889010 to the nearest integer?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 u when two letters picked without replacement from {z: 1, v: 1, y: 6, u: 6, t: 1, s: 1}?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let d(r) = r**3 - 6*r**2 + 5*r - 7. Suppose -b - 90 = -19*b. Calculate d(b).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((1*sqrt(189))\/sqrt(7) - sqrt(27))\/(-2*sqrt(441)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is ((-62)\/(-5))\/((-8)\/(-20)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ubiubtbjuilb. What is prob of sequence bu?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*b - 21 = 3*n, -2*b - 2 - 4 = 4*n. Let m(q) = -6*q. What is m(n)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"}
{"text":"Question: Differentiate 170*c**3*p + 5*c**3 - p + 73 with respect to c.\nAnswer: 510*c**2*p + 15*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is (-20)\/(-9) + -2 + 92128\/144 a multiple of 40?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 18*k + 2*k - 3*k in the form p + h*k and give h.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Put -5, 4, -4, 6, -796, 2 in decreasing order.\nAnswer: 6, 4, 2, -4, -5, -796","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Put -4, 3\/2, -6\/17, -9, 2, 0.4 in decreasing order.\nAnswer: 2, 3\/2, 0.4, -6\/17, -4, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Put 0, -1, 5, -14, -16 in descending order.\nAnswer: 5, 0, -1, -14, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 16 a factor of 1824?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is -161418 times -7?\nAnswer: 1129926","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 45\/(-54) + -2 - -3.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 21150619103 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 17 + -29.9. Let y = z - -13. Which is the nearest to y?  (a) -5  (b) -0.3  (c) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 53\/34 - 1\/17. Let j = -45 + 43. Sort j, m, -3 in increasing order.\nAnswer: -3, j, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -172.85*-0.1.\nAnswer: 17.285","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -19 - -23. Suppose -3*y = f*s + 7, -y + 2*s = -0*y - 11. What is the tens digit of y\/(3 - (-576)\/(-196))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 2868\/11 - 24929\/110. Let y = 537 + -571. Let x = y + q. What is the common denominator of 55\/32 and x?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 11248207 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -397\/11 - -71151\/1969. Let h = w + -670\/6981. Which is smaller: 1 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: 8672 (base 12) to base 11\nAnswer: 10111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-823)\/11 + 30\/(-165). Let v = o + 73. What is the tens digit of -1 - ((-8)\/(-4) - (-216)\/v)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1554 to the power of 1\/3, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is -135a873 (base 14) in base 6?\nAnswer: -532412433","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort -83, 2, -34, -1 in increasing order.\nAnswer: -83, -34, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:35 PM and 3:23 AM?\nAnswer: 588","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let a(l) = 46*l + 76. Suppose 5*i - 26 = -6. What are the prime factors of a(i)?\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(x) = -4*x**2 + 3*x - 6. Let t(z) = -14*z**2 - z - 11. Let g(m) = -62*m**2 - 5*m - 48. Let h(o) = 2*g(o) - 9*t(o). What is -13*h(j) - 6*i(j)?\nAnswer: -2*j**2 - 5*j - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let y(q) = q**2 - 1130. Suppose 2*j = 3 + 1. Suppose -j*z = z. Let o be y(z). What is o rounded to the nearest 100?\nAnswer: -1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 6148 a multiple of 212?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 1212.818 - 607019.818. Let d = m + 605751.000176. Let f = d + 56. Round f to five dps.\nAnswer: 0.00018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 165 and 231?\nAnswer: 1155","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve 18*j + 12*j + 504 = -36 for j.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-14)\/(-1)*2\/(-4) + 3.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(x) = -x**3 + 6*x**2 + 2*x + 11. What is the remainder when 1\/((-9)\/(-990)) - 3\/(-1) is divided by t(6)?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -94893 + 94895. Let 0 + 2\/9*v + 4\/3*v**3 + 8\/9*v**4 - 16\/9*v**5 - 10\/9*v**d = 0. Calculate v.\nAnswer: -1, 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -42 + 38 + (-1 - -1) + 11.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 7164996?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let h(m) = -3*m - 2. Let l(n) = -n - 1. Let g(j) = h(j) - 2*l(j). Let u(c) = c. Let x = -3 - -18. Let t be x\/3 + (-1 - -2). Determine t*u(v) + 5*g(v).\nAnswer: v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 65067465.\nAnswer: 3, 5, 137, 31663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {s: 1, k: 6, q: 3, r: 3}. Give prob of sequence qq.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Work out -9 * 10.\nAnswer: -90","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1 - 109874322*x + 2 + 109874329*x - 3.\nAnswer: 7*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Factor -m**2 + 13291*m.\nAnswer: -m*(m - 13291)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 14\/(-6)*2\/7?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 223031221 + 201020?\nAnswer: 223232301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 46\/(73\/((-14600)\/(-100))).\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (k\/(k*k*k**(-2\/11))*k*k*(k*(k\/(k\/k**5))\/k)\/k*k*k*(k**(2\/5))**(7\/4))**(-48) assuming k is positive.\nAnswer: k**(-20808\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-3)\/(-2)*32\/(-12). What are the prime factors of 39\/(0 - (3 + m))?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*m - m**2 + 0*m)*(3*m - 2*m - 2*m) + 0*m**3 + 4*m**3 - 6*m**3 + 2*m**3 - 4*m**3 + m**3 + 0*m**3 - 2*m**3 + 3*m**3.\nAnswer: -m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: How many nanometers are there in 11\/4 of a micrometer?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x(b) = -8*b + 35. Let r(f) = -16*f + 8457. Give r(x(o)).\nAnswer: 128*o + 7897","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 5045 + -5086. Which is bigger: j or -199\/5?\nAnswer: -199\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(n) = 3*n + 20. Let z be f(-6). Let g(k) = -113 - 4*k + z*k + 150. Let t be g(16). Solve a = 2*a + t for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -82 + 49*d**3 - 30 + 112.\nAnswer: 49*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -1\/3  (b) -18\/13  (c) 1.4  (d) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -2\/5995 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of v - 3*v + 1 + 10 + 16 - 68*v**2 wrt v.\nAnswer: -136","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 1605295 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3104 + 85 = -296*a + 1413 for a.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -3\/11 - 2\/33. Let t be (14\/(-8) + 2)\/1. Which is the closest to t?  (a) -0.2  (b) r  (c) -2\/29\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(l) be the second derivative of -5285*l**4\/6 - 7021*l**3\/6 - 6*l - 253. Find the second derivative of c(j) wrt j.\nAnswer: -21140","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(f) = f**4 + 3*f**3 - 8*f**2 + 6*f - 2. Let k(l) = 11*l**3 + 5*l**4 + 25*l + 5 - 5*l**4 - 14 + 5*l**4 - 32*l**2. Let r(z) = -2*k(z) + 9*n(z). Factor r(i).\nAnswer: -i*(i - 2)**2*(i - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 387158893?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 13*o - 16*o + 516. Suppose o = 7*r + 32. Suppose -41 = -3*i - 8. Calculate the remainder when r is divided by i.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -241, -455, -627, -739, -773, -711, -535, -227?\nAnswer: 231","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h(t) = -t**2 + 3*t. Suppose 31*v - 30 = 25*v. Let z(c) = -2*c**2 + 5*c - 1. Determine v*h(x) - 3*z(x).\nAnswer: x**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let c(i) be the second derivative of -7*i**3 + 105*i**2\/2 - 127*i. Find the first derivative of c(t) wrt t.\nAnswer: -42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*k + 67 + 47 = 0. What are the prime factors of k?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 0.2 - 0.2. Let w = -2 - y. Let z = -100.2 - -101.2. Put w, z, -1\/5 in decreasing order.\nAnswer: z, -1\/5, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 371729037?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let q(l) = l**2 + l + 3. Let m be q(-1). Suppose -m*k = -5*k + 6. Solve 3 + 0 = k*t for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1755.\nAnswer: 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*h - 3*h + 42 = 0. List the prime factors of (4\/h)\/((-8)\/(-6672)).\nAnswer: 2, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -3\/16 in -0.2, -2\/9, 0.78?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let h(x) = -3*x + 3. Let t(l) = -140*l + 140. Let u(w) = -18 + 3*w - 10*w + 25. Let p(d) = -6*t(d) + 119*u(d). Let q(j) = 5*h(j) + 2*p(j). Calculate q(-6).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 4 by 5.\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Round -1221.3837 to the nearest integer.\nAnswer: -1221","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 53394132 to the power of 1\/3, to the nearest integer?\nAnswer: 377","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 109982?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let k(h) = 9*h**3 + 3*h**2 + 12*h - 1. Let m be k(5). Suppose 4*d + 3*j - m = 0, 4*j = 3*d - 1 - 912. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 23917 is divided by 258.\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 0.3177 + -0.317687778. What is y rounded to seven dps?\nAnswer: 0.0000122","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -1, 2, -44 in descending order.\nAnswer: 2, -1, -44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: -826*0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let s(t) = -13*t**2 - 2*t - 3. Let l be s(-1). Let h be 4\/(-72)*l - 4\/(-18). Which is the nearest to h?  (a) -4  (b) 1\/2  (c) -3\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -21\/1144 and ((-1645)\/140)\/(429\/12).\nAnswer: 1144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(d) = 15*d**3 + d**2 - 1. Let g = -130 + 129. Give x(g).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5 + sqrt(931)*2*6)**2 + -2.\nAnswer: 840*sqrt(19) + 134087","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -10101110001100000 - -10111010?\nAnswer: -10101101110100110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4*1*((sqrt(1300) + 1 + sqrt(1300))**2 + sqrt(13)).\nAnswer: -20804 - 164*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -47*z + 1278 = 95*z. Solve 0 = -z*f + 13*f - 4 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -b + 0*b + b + 5*b.\nAnswer: 5*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve -7279*y - 5938 + 13568 + 4069 + 10138 = 0 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 762 - 19047\/25. Let t = -37\/100 + j. Which is the second smallest value?  (a) -0.5  (b) 3  (c) t  (d) 0.55\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 8.555821 rounded to 1 dp?\nAnswer: 8.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 949301 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 400545498?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -6\/13 - -44\/39. Let r(g) be the first derivative of 0*g - 1\/4*g**4 - z*g**3 + 3 - 1\/2*g**2. Let r(w) = 0. What is w?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 9 - 5. Suppose -3*u = 4*y - 44, 0*u = g*y + u - 52. What is the tens digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add -5373 and 2502.95.\nAnswer: -2870.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 5290408 is divided by 188943?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 3925395 divided by -2?\nAnswer: -3925395\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let z(p) = p**3 + 4*p**2 - 2. Calculate the smallest common multiple of 10 and z(-2).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2954467399 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (c\/c**(-1\/5))\/(c\/c**14) assuming c is positive.\nAnswer: c**(71\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -2 - 1131?\nAnswer: -1133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*w**2 - 2*w**2 - 3*w**2)*(0*w - 2*w + 0*w)*(w + w + 0*w)*(-w + w - 2*w).\nAnswer: -16*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.0149?  (a) 1  (b) 2\/17  (c) -2\/5  (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 36 minutes before 1:58 PM?\nAnswer: 1:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*u**3 - 4568548*u**2 + 9137090*u - 4568544.\nAnswer: 2*(u - 2284272)*(u - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 26503523 to the nearest integer?\nAnswer: 298","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve -94*x - 287*x - 8001 = 0 for x.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -427, -849, -1271?\n\"Answer: -422*o - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Put 6, 13, 12, -244 in ascending order.\nAnswer: -244, 6, 12, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let a(d) be the third derivative of -d**6\/30 + d**5\/12 + d**3\/6 + 2*d**2. Let s(v) = 7*v**3 - 9*v**2 - 1. Let r = -4 - -7. Give r*s(u) + 5*a(u).\nAnswer: u**3 - 2*u**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 3743368 divided by 4?\nAnswer: 935842","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (24\/56)\/((-6)\/(-4)).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*z**4 - 14*z**2 - 12*z.\nAnswer: 2*z*(z - 3)*(z + 1)*(z + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in sixty-one thirds of a decade?\nAnswer: 2440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 1805987047 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:09 AM and 5:09 AM?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 43288510 to the power of 1\/5, to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-16)\/36)\/((-1036)\/666)*(-322)\/(-2)?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b(m) = -m**2 - m + 4. Suppose -4*z + z = 0. What is b(z)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(i) = 2*i**3 - 2*i**2 + 2*i - 1. Let w be a(1). Let f(k) = 4*k**2 - k. Let t be f(w). Differentiate -t*y**2 + 3*y**2 - 3 - 3*y**4 with respect to y.\nAnswer: -12*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2*(2561\/234 - 11).\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*g**2\/7 - 134488128*g\/7 + 57637773.\nAnswer: -3*(g - 3)*(g + 44829379)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is -2695 divided by 28072?\nAnswer: -245\/2552","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let i(c) = c**2 - 8*c. What is i(7)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 956*b**4 + 915?\nAnswer: 3824*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 110 and 2959.\nAnswer: 29590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*k + 4*p + 36 = 0, 3*k - 3*p = -3204 + 3243 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence bhhh when four letters picked without replacement from {p: 2, b: 1, a: 1, h: 4}?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -20*s - 6 = -19*s. Let d be (-5 + (-35)\/(-15))\/(4\/s). Suppose 4*u - 20 = d*l - 0*u, -4*u = 4*l - 20. Solve l = 3*n + 1 + 11 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((t**(-2\/3))**(3\/2))**46*t**(1\/5)*t\/t**(-4)*(t\/t**3)\/t**(1\/4) assuming t is positive.\nAnswer: t**(-861\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -5*k - 14 - 10 + 24.\nAnswer: -5*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let a(z) = 0 + 11 + z**2 - 4*z - 3. Suppose -6 = 3*m - 24. Let d be a(m). What is the greatest common factor of d and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 113 is divided by 31?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Convert 799264.8 micrometers to meters.\nAnswer: 0.7992648","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 268680 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 5.188495 hours in nanoseconds?\nAnswer: 18678582000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of (4\/4)\/(1\/7)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 1331 + -1331.06. What is the closest to -0.1 in 3, 4, r, 2\/221?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -249 - -249.2. Which is the nearest to -0.2?  (a) -3  (b) -7  (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -13, -19, -35, -67, -121?\n\"Answer: -x**3 + x**2 - 2*x - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 23227 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -53 - 355 = -4*i. What is the remainder when i is divided by 35?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence jqj when three letters picked without replacement from qqqqqqqjjq.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 162*p + 24764 = 663*p + 103*p for p.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -226 + 142. Let u be -2 - ((-48)\/2)\/(c\/(-56)). Is 19 greater than or equal to u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 6\/21 + 480\/35. Let q = t - -7. What is the units digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 11470149 to the nearest integer?\nAnswer: 3387","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 304533457 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*t + 5 = t. Let s be t + (294\/(-81) - -2). Let l = 4\/135 + s. Which is the third biggest value?  (a) -1\/4  (b) l  (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be ((6 - 3) + -3)\/3 - -54. Suppose -f*h + 49*h = 30. What is the tens digit of h\/8*2*-18?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(w) = w**2 - 161*w + 2398. Give c(16).\nAnswer: 78","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-1)\/2*2 - 1. What is the hundreds digit of (-2 - 1)*(-124 + d)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(m) = -28*m + 14. Let a be y(-5). Let l be (-60)\/(-14)*a\/33. Solve 0 = 5*c - 5 - l for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(l) = 8*l**3 - 4*l**2 - 6*l + 5. Let z(o) = o**3 - o**2 - o + 1. Calculate -r(t) + 6*z(t).\nAnswer: -2*t**3 - 2*t**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -1357 - -2104. Is 7 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 691 minutes before 8:55 AM?\nAnswer: 9:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 455*k + 3099 + 996 for k.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -88 or -87?\nAnswer: -88","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let g(u) = 14*u**3 + 8*u + 58. Let v(f) = -16*f**3 - 9*f - 59. Let c(q) = -5*g(q) - 4*v(q). What is the first derivative of c(m) wrt m?\nAnswer: -18*m**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(w) = -w + 11. Let j be m(6). Let u(l) = -l + 5. Determine u(j).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 p, 1 s, and 1 i when three letters picked without replacement from tstttitwtttp?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let x(z) = -114*z + 14371. Calculate x(126).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 58.64 + -62.8367. Let c = -4.2 - q. What is c rounded to three decimal places?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 2.5 and -48455?\nAnswer: -121137.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 66485975?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -1095 + 570. Let h = w + 524.999074. What is h rounded to 4 dps?\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 8\/12*21\/14*(-1)\/(-10)?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*f + 331982 = 42*f. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 194 + 96 = 5*n. Let p(h) = 4*h - 2. Let j be p(13). Let l = -30 + j. Calculate the remainder when n is divided by l.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 608895 and 28995?\nAnswer: 608895","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 15 - -7095779.2?\nAnswer: 7095794.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 17 a factor of 3765?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -11  (b) -8  (c) -0.0573974  (d) -0.1  (e) 2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(12)\/sqrt(6))**2*-6 + -4)*-6 + 5.\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 1871287 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let f(j) = -j**2 + 24*j - 100. What is f(19)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from osooohsoooohhsoooo. Give prob of picking 2 h and 1 s.\nAnswer: 3\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -8 - -12. Suppose -w*l + 93 = -l. Is 24 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 87 - 86.8. Suppose 14 = -2*u - 4*m, -u - 3*m + 3 = 11. Which is the smallest value?  (a) j  (b) -2  (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -725 divided by -5\nAnswer: 145","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let f(l) = -33*l**2 - 20*l - 23. Let j(b) = -34*b**2 - 21*b - 20. Let y(x) = -4*f(x) + 3*j(x). Is 18 a factor of y(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: -61772 (base 10) to base 4\nAnswer: -33011030","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*u - 4 = 26. List the prime factors of u.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 11 - 7. Suppose 0 = -r*j + 17 + 71. List the prime factors of j.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(j) be the third derivative of -j**5\/300 - j**4\/40 + 2*j**3\/15 - 4*j**2. Suppose g(y) = 0. What is y?\nAnswer: -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 62832093?\nAnswer: 3, 1607, 13033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 3445 to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let q be ((-9)\/(-27))\/(1\/(-9)). Let o be 1\/(q\/(-3)) - -2. Solve 1 = 4*s - o for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -617 + 945. What is the remainder when j is divided by 66?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 3 - 2. Let l = 2523 - 2523. Sort l, -5, -4, g in increasing order.\nAnswer: -5, -4, l, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*t - 3*t = 5*w + 13, 0 = 2*w + 5*t + 9. Let x = w - 1. Let a = -21 - -19. Is a greater than x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (72\/(-672))\/(18\/(-105))*(2\/(-2))\/(-1)?\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 33 + -9. What is the units digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4\/9, 200, -266.\nAnswer: -266, -4\/9, 200","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*y = 3*a - 34 + 6, 4*a = 4*y. Solve -g = -2*h - 4*g - 5, -a*g = 4*h for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put together -100.603068 and -771.\nAnswer: -871.603068","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ppc when three letters picked without replacement from cvcppceev?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -4 - 2. Let j be x\/(-27) + 88\/9. Let b be 4\/j - 714\/(-15). Calculate the greatest common divisor of b and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -1163.4056 - -16.1756. Let a = n + 1157. What is a rounded to 0 decimal places?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (8*v + 0 + 0 + 2*v - 2*v + v + (0*v - 2*v + v)*(3 - 2 - 9))*(2 - 2 - 2).\nAnswer: -34*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve -210*g - 234*g - 2*g + 7462 = 87*g for g.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*c - 5*j = -18, -680*j + 676*j = -5*c - 28 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let t(g) be the first derivative of -g**2 - 9*g - 3. Let h(q) = -q - 5. Let u be (5\/(-4))\/(2\/8). What is u*h(o) + 3*t(o)?\nAnswer: -o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 3 + -2 + (-4)\/(-2). Suppose 4*k + k = 40. Suppose -2 - k = -5*a. Solve -a*u = 3*c - 5, -3*c + c - u + s = 0 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*t + 296*x - 294*x - 4572, -5*t - x = -4576. What is the tens digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -1358*n**2*z - 26*n - 13*z wrt n?\nAnswer: -2716*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -16604, -18173, -19732, -21275, -22796, -24289?\nAnswer: -25748","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: 122011220101010 (base 3) to base 8\nAnswer: 42651766","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.1080699898 to five decimal places.\nAnswer: 0.10807","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let v(i) = -i**2 + 4*i + 6. Let y(s) = 5*s. Let p be y(1). Let d be v(p). Which is smaller: -2 or d?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3454905 is divided by 1760.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 328 minutes after 3:02 PM?\nAnswer: 8:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 4249897*o*u**2*x**2 - 2*o*x - 6013*u*x + 1342*x**2 wrt u.\nAnswer: 8499794*o*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 91190449*r**3 - 304774*r**2 + 5*r?\nAnswer: 547142694","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 949709298?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 288098.\nAnswer: 2, 23, 6263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -3313 - -104?\nAnswer: -3204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 0, 17, 62, 141, 260?\nAnswer: 425","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -1582202, -3164409, -4746616, -6328823, -7911030, -9493237?\n\"Answer: -1582207*n + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -0.2 or 80424?\nAnswer: 80424","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1 - (0 - (-2 + 4 + -9 + 8))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 80190 and 144670050.\nAnswer: 7290","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 28\/75 and -26\/2577?\nAnswer: 64425","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -49, -107, -173, -247, -329, -419?\nAnswer: -517","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*o - 2 = 4. Let l be 0\/1 - (-4)\/(-2). Calculate the remainder when l + (-3)\/((-3)\/8) is divided by o.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((w**(-3\/2)*w)\/w**18)**(-29) assuming w is positive.\nAnswer: w**(1073\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from rfr. What is prob of sequence rr?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1?  (a) -2  (b) 4.065  (c) -1\/4  (d) -0.01  (e) 23\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let w(t) = -2*t**2 - 4. Let g(h) = -h**2 - 1. Let y(u) = -4*g(u) + w(u). Let o(p) = -2*p**2. Determine y(o(k)).\nAnswer: 8*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*t - 155*a + 157*a + 16 = 0, t + 2*a = -7 for t.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: 1 - 4 - (-194340)\/63990\nAnswer: 1\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5 + (sqrt(143) + 1*sqrt(143)*-1)\/(sqrt(396)*-1) + -3 + 6*(-2*sqrt(468) - (sqrt(13) - sqrt(104)\/sqrt(2))))**2.\nAnswer: 1056*sqrt(13) + 56692","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -5122, -10223, -15326, -20431?\nAnswer: -25538","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand k**2 + k**2 - 3*k**2 + (k - 2*k - 7*k)*(-2*k + 0*k + 0*k) + 2 - 2 - k**2 + (-2*k**2 - k**2 + 4*k**2)*(3 + 1 - 6) - 4*k**2 + 18*k**2 - 7*k**2.\nAnswer: 19*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -58 + (-33 - -68) + 46.\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q(b) = 7*b + b**2 + 3*b - 4*b. Let c(s) = -s**3 - 6*s**2 + 7*s + 4. Let t be c(-7). Suppose -t*l = -3 + 23. Calculate q(l).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 124 - 79. Let j = 6090 - 6078. What is the remainder when g is divided by j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (6\/(-9))\/(4\/(-102)). Let z = g + -2. What are the prime factors of z?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: -3833.85*5.6\nAnswer: -21469.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 15.4*-29.\nAnswer: -446.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 434*x**2 - 1410*x**2 + 469*x**2 + 447*x**2.\nAnswer: -60*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 243111.\nAnswer: 3, 11, 53, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 27 minutes after 5:04 AM?\nAnswer: 5:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1 + -3*(-3 + (sqrt(128) - (sqrt(128) + -1 + sqrt(128) + 5) - (4 + sqrt(128)*2)) + 1))**2.\nAnswer: 4464*sqrt(2) + 11329","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 253 minutes before 3:49 PM?\nAnswer: 11:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 1792 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 1794 - 1790. Put 21, 9, 2, f in decreasing order.\nAnswer: 21, 9, f, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(d) = 2*d**3 - 3*d**2 + 5. Let v = -2 - 1. Let m(k) be the second derivative of 3*k**5\/20 - 5*k**4\/12 + 9*k**2\/2 + 6*k. Give v*m(c) + 5*r(c).\nAnswer: c**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let x(t) = t + 17. Let o be x(-12). Suppose -s = -o - 14. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 5*k**2 - k**2 + 2*k**2 + (0 + 3 - 1)*(-2 + 3 + 1)*(-1101*k**2 + 2659*k**2 - 1301*k**2) to the form h*k + r + c*k**2 and give c.\nAnswer: 1034","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -5  (b) -0.1  (c) 0.4  (d) 1  (e) -1\/4  (f) -75.13\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 27 and 216.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*f + 223 = -g + 2*g, -2*f + 5*g = -100. Let x = -42 - -65. Calculate the remainder when f is divided by x.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify a**(-26)\/a*a**(-1\/7)*((a**(-4\/5)*a)\/a)**(14\/9) assuming a is positive.\nAnswer: a**(-8942\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 6 + -5. Let s = 1.1 - l. Let f = -5 + 4. What is the closest to 1\/2 in 0.4, s, f?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(p) = 148*p**2 + 23*p + 2. What is a(1)?\nAnswer: 173","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (12 - 0) + -59 - ((1 - 2) + 7).\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 17356, 34732, 52112, 69496, 86884, 104276, 121672?\nAnswer: 139072","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -2778.8481 - -2779. What is d rounded to 3 dps?\nAnswer: 0.152","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(t) = -6*t - 1. Let n be d(-1). Solve 3*u + n = -7 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {d: 3, l: 3, r: 2}. What is prob of picking 2 d?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve 372\/5*z + 188\/5 + 36*z**2 - 4\/5*z**3 = 0 for z.\nAnswer: -1, 47","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be ((-8)\/84)\/((-2)\/9). Which is the nearest to 0.1?  (a) 4\/5  (b) y  (c) 2\/21\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -172.7 - -180. Let t = 7 - g. Suppose 4*m + 2 = -2*v + 4*v, -2*v - 6 = 0. What is the nearest to -1\/3 in 0.2, m, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(c) = 119*c**2 - 118*c**2 - 23*c + 15 + 23. Give v(21).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 521606265 to the nearest integer?\nAnswer: 805","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let o(w) = w**3 + 5*w**2. Let l be o(-4). Let u(j) = 4*j**3 + 27*j**2 + 14*j - 4. Let s be u(-6). Find the first derivative of l*t**2 + 11 + 4 - s wrt t.\nAnswer: 32*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 54026.125178 - 0.125178. Let r = u - 54035.99965. Let f = -10 - r. Round f to four dps.\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(m) be the third derivative of -m**9\/63 + m**6\/20 - 9*m**5\/2 - 176*m**2. Find the third derivative of b(k) wrt k.\nAnswer: -960*k**3 + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -12, -12, -8, 0, 12, 28?\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m(w) = w**2 - 4*w - 16. Let s be m(8). Suppose -a = a + 18. Let z = s + a. Is 7 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 5 - (-4 + (-95)\/(-10)) - (-29121)\/6 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(u) = -472*u**2 + 236*u**2 + 233*u**2 - 1. Let c(i) = i**3 + i**2 + i + 2. Let h be c(0). What is b(h)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -395 - 567. Round b to the nearest 10.\nAnswer: -960","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(f) = f**3 - 9*f**2 - 10*f - 6. Let l be w(10). Let o be l\/21*21\/(-3). Determine z so that -4*z**o + 18*z**5 + 26*z**3 - 40*z**4 + 2*z + 8*z - 10*z = 0.\nAnswer: 0, 2\/9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 26278661?\nAnswer: 26278661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let j(n) = 3*n - 3. Let m be j(-4). Let u = -10 - m. Let h be ((-4)\/(-10))\/((-3)\/u). Which is the biggest value?  (a) h  (b) -0.5  (c) 0.5  (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 558 minutes before 7:27 AM?\nAnswer: 10:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -165 and -238440.\nAnswer: 39342600","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let y(m) = m**5 + 3*m**4 + 2*m**3 + 2*m**2 + 2*m - 2. Let h(f) = f**4 + f**3 + f**2 + f - 1. Let w(o) = 2*h(o) - y(o). Suppose w(s) = 0. What is s?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3 + (-1 + sqrt(180) + -1)**2 - (6*sqrt(55)\/(sqrt(88)\/sqrt(8)*6 + sqrt(11)))**2.\nAnswer: -24*sqrt(5) + 8689\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.5 in 0, 0.25, 2, 5\/2?\nAnswer: 0.25","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 38990 to the power of 1\/3, to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -2067*r**5 + 3658*r**2 wrt r.\nAnswer: -124020*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -5102 - -15107. Is 145 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(z) = z**2 - 38*z - 633. Let v be s(51). Let c = 99 - -246. What is the greatest common divisor of c and v?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4*(3 + ((1 + sqrt(13) + sqrt(13))**2 - sqrt(13)) + (3 + sqrt(13) + sqrt(117))**2).\nAnswer: -1092 - 108*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -758 or 2\/7?\nAnswer: -758","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let k(c) = c**2 - 8*c + 6. Let l(n) = 3*n + 2*n**2 - n**2 + 2 - 5 - 1. Let p be l(-3). Let a be -4*(-4 - (p - -2)). Determine k(a).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -39 + 11 = -14*i. Suppose -i*c - 2*t + 676 = 0, t + 1026 = -3*c + 6*c. Does 10 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((l**(-2\/7)\/l)**(-3\/19))**(-1\/47)*(l**0*l*l**(4\/7))**(2\/115) assuming l is positive.\nAnswer: l**(2363\/102695)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 25930 - 13409. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-5655)\/406 - -14)\/((-42)\/(-1078)).\nAnswer: 11\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 q when three letters picked without replacement from qddqddqqqddqdqdd.\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 29\/118 and 151\/4656?\nAnswer: 274704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0?  (a) -1\/5  (b) -16  (c) -1\/22  (d) -662\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 1071222590 a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 456\/(-399)*4\/((-8)\/3).\nAnswer: 12\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 44 + -42. Differentiate 4*u - 20 + 52 + 20*u + t*u wrt u.\nAnswer: 26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 2725289895 to the nearest integer?\nAnswer: 1397","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -66392\/7 + 9488. Determine b, given that -16\/7 - 6\/7*b**3 - 4\/7*b**2 + y*b + 2\/7*b**4 = 0.\nAnswer: -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3314885540?\nAnswer: 2, 5, 19, 83, 227, 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -2.8725 + -1.1275. What is the second biggest value in 19, z, 0.5, 0, -6\/7?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -845952 + 845955. Factor -4180\/7*z**2 - 860\/7*z**t - 6050\/7*z - 10*z**4 - 2662\/7 - 2\/7*z**5.\nAnswer: -2*(z + 1)**2*(z + 11)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 0.1359 from -0.04199179.\nAnswer: -0.17789179","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Factor -j**5\/5 + 12581*j**4\/5 + 50336*j**3\/5 + 10068*j**2.\nAnswer: -j**2*(j - 12585)*(j + 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Does -37\/735 = 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 10 divided by -13442?\nAnswer: -5\/6721","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 354957 is divided by 843?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let m(s) be the second derivative of s**5\/70 - 6*s**4\/7 - 55*s**3\/7 + 200*s**2\/7 + 1508*s. Factor m(a).\nAnswer: 2*(a - 40)*(a - 1)*(a + 5)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: (542\/5962)\/(10\/22)\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Does 86 divide 2717?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 2 - 7\/(3990\/1170).\nAnswer: -1\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from eeeezz. Give prob of picking 1 e and 1 z.\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4*b + 4*b - 6*b)*(0*b + 0*b - b) + 2*b**2 - b + b + (-23*b - 13*b + 0*b)*(2*b - 3*b - b).\nAnswer: 80*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let u(t) = t**3 + 2*t**2 - 2*t - 2. Let w be u(-2). Sort w, -2, -5 in increasing order.\nAnswer: -5, -2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -259286118 divided by 21.\nAnswer: -12346958","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 23832?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: 116 divided by 619734\nAnswer: 58\/309867","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 644\/121 - 147148\/28193. What is the third biggest value in u, 0.4, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be -3*((-51)\/9 - -3). Suppose -g - 1 = 4*y + h, -3*y = -2*h + 15. Which is greater: -7\/2 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-155)\/(-15) - 16\/12. Let i(b) = b - 8. Determine i(p).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 75*g - 181 - 194 = 0 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let q(m) = -167*m + 6864. What is the remainder when 428 is divided by q(41)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -72 by 12.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 15884 a multiple of 38?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let z(n) = 3*n**3 - 4*n**2 - 2*n**2 + 0*n**3 - 5 + n**2 - 11*n**3. Let x(l) = -17*l**3 - 11*l**2 - 11. Give 6*x(w) - 13*z(w).\nAnswer: 2*w**3 - w**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -2.58 and -140.\nAnswer: 361.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 0 or 24\/53?\nAnswer: 24\/53","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let a(d) = -5626*d**3 - 11*d. Let m(r) = 1125*r**3 + 2*r. Determine 2*a(k) + 11*m(k).\nAnswer: 1123*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -1209.4 - -1211. Which is the nearest to 2\/5?  (a) -0.3  (b) h  (c) -5  (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*f + j - 2*j = 37, 3*j = -4*f + 49. Suppose -f*o = -5635 - 8735. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -87 = 5*j - 24*j + 122 for j.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 6481413821 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -14.92 + -0.08. Let r = p - -13. What is the nearest to -2\/7 in 1\/3, r, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 94108488 to the power of 1\/2, to the nearest integer?\nAnswer: 9701","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) -83  (b) -0.02  (c) -3  (d) -122  (e) 2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from kkcbbbkumbb. Give prob of sequence kkk.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3585 - 35721 + 3580 + 28556 - l**3.\nAnswer: -l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Express -14866*x - 5380*x - 3931*x as r + i*x and give i.\nAnswer: -24177","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 885 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let j(m) = 29*m + 223. What is j(-7)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, -4, 5, -1, 358, 2265, -5 in descending order.\nAnswer: 2265, 358, 5, 2, -1, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*f = 4*o + o, 56 = 4*f - 4*o. Suppose 22*w + w = -6*w + 1015. Suppose 95 = f*t + w. Solve -b = -t*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -k - 4 + 11. Let w = 11 - k. Let s be (18\/w - 2)*6. Solve 5*j = 10 + s for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 338678.5225 to the nearest 100000.\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 65259087 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let i(f) be the second derivative of 167*f**3\/2 + 274*f. Let m(a) = a. Determine m(i(h)).\nAnswer: 501*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: -42 (base 6) to base 12\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1516?\nAnswer: 2, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 0 or 71?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let q be -11 + (3\/(-3) - 1). Let j = -9 - q. Suppose j*w - 13 = 3. What are the prime factors of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -5 (base 6) in base 2?\nAnswer: -101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Does 2567 divide 493205411?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1108 - 10569 = 262*b + 3726 + 1889 for b.\nAnswer: -66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-37 - 22) + -41 - -38.\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 679 minutes before 5:10 PM?\nAnswer: 5:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -4*p**3 - 112 + 2*p**2 - 129*p**3 - 15*p**3 - 30*p**3 - 114 wrt p?\nAnswer: -1068","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many nanograms are there in fifty-seven fifths of a microgram?\nAnswer: 11400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 186185?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -9 - -16. Put 1, r, -2\/9 in increasing order.\nAnswer: -2\/9, 1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(q) = q**2 - q. What is the units digit of h(2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(z) = 8*z**3 + 4*z**2 - 6*z - 4. Let o(j) = -8*j**3 - 3*j**2 + 5*j + 3. Let t be 12\/(-8)*(5 - 3\/1). Give t*v(l) - 4*o(l).\nAnswer: 8*l**3 - 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is (-12 - (-6 + 9)) + 5 + (10 - 5)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m(f) = -338*f**3 - f**2 - f - 1. Let i be m(-1). Let s = i + -3367\/10. Let l be (3\/(-5))\/(18\/20). Which is smaller: s or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -146, 431986, 0?\nAnswer: -146","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6 = -3*l - 30. Let r be (-3)\/(l\/(-20)*(-6)\/4). Suppose h - 5 = -r. Solve h = -4*n + k - 5, -4*n = 4*k - 0*k + 20 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence vcy when three letters picked without replacement from {p: 1, y: 2, z: 5, v: 3, u: 1, c: 3}?\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 45 and 8.\nAnswer: 360","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -1487, -1488, -1489?\nAnswer: -1490","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Round -17.0939 to 0 dps.\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Put together 5106 and -0.4.\nAnswer: 5105.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*w + 8 = 18. Suppose -w*m = 3*o - 49, -2*o - 106 = -7*m + 3*m. What is the highest common factor of m and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:21 AM and 12:11 PM?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 7342\/14 - (-3)\/(-7)?\nAnswer: 2, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -11, 3, -3, -328, 63 in decreasing order.\nAnswer: 63, 3, -3, -11, -328","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*z**3 - 1072*z**2 + 113076*z = 0. What is z?\nAnswer: -349, 0, 81","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 1.867 + 0.033. Let o = h - 1.90000052. Round o to seven dps.\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be ((-3)\/(-2) + (-119)\/34)\/2. Which is bigger: -2\/55141 or j?\nAnswer: -2\/55141","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -10*m = -41*m + 93 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 29 + 120*p + 2 + 110*p - 30*p + 2.\nAnswer: 200*p + 33","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 1176356 - 744573. Let o = a + -2165607\/5. Let w = o + 1344. Calculate the common denominator of -77\/2 and w.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 67\/42168 and -61\/33132.\nAnswer: 463848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Does 3 divide ((-21)\/12)\/(2\/(-8))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 105 and 28?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 46215.\nAnswer: 3, 5, 13, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 157620509 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (k**2 - 2 + 2)*(-18*k**2 + 2*k**2 - 7*k**2) + 33*k**4 + 105*k**2 - 105*k**2 to o*k**2 + g*k**3 + b*k**4 + l + j*k and give b.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -275 + 696. Suppose 2*l - x = -3*j, 3*l + j = 6 + 643. What is the tens digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2 + sqrt(425) - (sqrt(17) + 0)*3 - -2*(sqrt(272) + 3 + sqrt(272) + 3)**2.\nAnswer: 194*sqrt(17) + 2250","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -843334 divided by 1.\nAnswer: -843334","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*v - 7*b - 34 = -0*v, -4*v - 2*b + 19 - 39 = 0 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 1.2 and -0.14.\nAnswer: -0.168","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Product of -58 and -451390.\nAnswer: 26180620","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is j in 49*j**4\/4 + 107877*j**3\/4 + 257076*j**2 + 140297*j + 19728 = 0?\nAnswer: -2192, -9, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 0 - 0.1. Let r = -10 + 0. Let h = r + 18. Which is the biggest value?  (a) v  (b) h  (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in -1\/4, 1, -2\/5, -3\/4, -69280, -1?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: 1.645 times 4\nAnswer: 6.58","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12*a - 13*a = -5*o + 34736, 7*o = -2*a + 48627. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 0.02 - 1.22. Let v = 2012045 - 2012043.800011. Let o = w + v. Round o to five decimal places.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 566427?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((1*sqrt(11)*-5 + -4)*-6 - (2 + -2 + (sqrt(1331) - (sqrt(1331)*2 - sqrt(1331)))))**2.\nAnswer: 1440*sqrt(11) + 10476","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {r: 2, g: 2, o: 1, h: 6, j: 6, f: 3}. What is prob of sequence orrh?\nAnswer: 1\/9690","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence fx when two letters picked without replacement from lxxxlxcxxxxffxxxxxl.\nAnswer: 13\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let f be ((-2)\/(-5))\/(7\/(-70)). Let t be ((-70)\/f)\/((-1)\/(-2)). Suppose -3*h = -4*d - 37, -2*h + 5*h - 5*d = t. Does 15 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 13 - 11. Suppose -14*j - 2604 = -21*j. Let w(g) = -3 - 187*g**2 + 2*g - 184*g**2 + j*g**2. Calculate w(o).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 48a + -186?\nAnswer: 304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -1159120*l**2 + 1169291?\nAnswer: -2318240*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 11.60299 centuries in months?\nAnswer: 13923.588","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -69*w - w**3 - w**2 + 69*w wrt w.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -1896 - -5.7\nAnswer: -1890.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((z\/z**(1\/12))\/z*z**4)**(-1\/11)*(z**(-6)*z**0)\/((z\/z**(1\/9))\/(z*z**(1\/4)\/z*z*z)) assuming z is positive.\nAnswer: z**(-989\/198)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 433565 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Add together -257244328204 and -0.1.\nAnswer: -257244328204.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1\/2 in 13\/11, 5, -1\/8, -1?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is -13 less than -2658.0102?\nAnswer: -2645.0102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 5628532419 to the power of 1\/2, to the nearest integer?\nAnswer: 75024","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Round -64200 to the nearest 10000.\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 s and 3 g when four letters picked without replacement from {g: 10, k: 1, l: 1, s: 5}?\nAnswer: 30\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 16 - 7. Suppose d = -4*a - 7. Let o(t) = -t - 4. Let y be o(a). Solve 6 = -n + 4*g - y*g, 5*g = 4*n + 13 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(j) = -22*j - 2668. Let a(h) = 25*h + 3036. Let u(t) = 29*a(t) + 33*r(t). Let z(s) = s**2 + s**2 - 3*s**2. Give u(z(v)).\nAnswer: v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 1, 5, -7\/5, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 28421\/12 + -2367. Let s(j) be the second derivative of 21*j + 0*j**3 + c*j**4 + 11\/10*j**5 + 0 + 0*j**2. What is the third derivative of s(l) wrt l?\nAnswer: 132","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -1\/1578 - -1685317\/20514. Let m = p - 82. Which is the closest to -3?  (a) m  (b) 5  (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-1 + sqrt(612))*5 + 5)**2.\nAnswer: 15300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 1554453 to the power of 1\/6, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: (-3 - (4 + 0)) + 15\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -13*b + 32*b - 32*b**3 - 19*b.\nAnswer: -32*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Does 15 divide 3265130535?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (3 - 8) + (2 - -7).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -238 + 243. Let k = -0.25 + -0.03. Let u = k - 0.02. Which is the third biggest value?  (a) u  (b) n  (c) -2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 4\/91 + -592\/5187. Let n = 155\/228 - q. Let f = 9\/2 + -3. What is the smallest value in f, 0.5, n?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -2\/11, 12, -1606726?\nAnswer: -1606726","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 503 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*x**2 - 1203*x + 1200.\nAnswer: 3*(x - 400)*(x - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Find a such that 2*a**2\/5 - 1648*a\/5 - 38962\/5 = 0.\nAnswer: -23, 847","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose x - 37305 + 11002 = -5*w, -5*w = 6*x - 26318. Is 10 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 5, -4, -2, 3, 524 in increasing order.\nAnswer: -4, -2, 3, 5, 524","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4*(-3 + (sqrt(14) + -1*sqrt(1400))\/(sqrt(288)*2))**2*2.\nAnswer: -639\/8 - 18*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the sixth smallest value?  (a) -0.3  (b) -1\/7  (c) 6\/7  (d) 2943  (e) 6  (f) 5\/6  (g) 2\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 64*f + 10384 = 10448. Put f, 2, 342 in descending order.\nAnswer: 342, 2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 5 divide 86705923?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -65\/28656 and -25\/4776?\nAnswer: 28656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-39)\/117 - 4\/6*-8. Solve -x + 3 = q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -1.9 + -157623197171.2.\nAnswer: -157623197173.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let r(m) = 5*m + 997991. Let p(z) = 2*z. Determine r(p(n)).\nAnswer: 10*n + 997991","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 36073919 is divided by 38?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 100012211 + 1?\nAnswer: 100012212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Are -190963 and -191148 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*p = -3*p - 21. Let s = 22\/3 + p. Find r, given that -r - s - r**2 - 1\/3*r**3 = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*v + 14 = v - 2*t, v + 2 = -2*t. Let h(r) = r**3 + 3*r**2 - r - 4. Let p be h(-2). Solve p*a + 16 = -v*a for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(a) = 4*a**3 + 4*a**2 - 2445*a. Let l(q) = -2*q**3 - 3*q**2 + 2434*q. Determine 4*l(p) + 3*t(p).\nAnswer: 4*p**3 + 2401*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: -25*(-820)\/250*(-3)\/(-6)\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 137841567 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 44441?\nAnswer: 19, 2339","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(135)\/sqrt(3))\/sqrt(9) - -2*(sqrt(5) + 0))**2*-5.\nAnswer: -225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -2 + 7 + -11 + 4.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 4633 + -4632.9990675. What is o rounded to 4 decimal places?\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"}
{"text":"Question: Is 5507 a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 2280470 to the nearest integer?\nAnswer: 132","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 190269 and 261.\nAnswer: 261","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 4\/(-14) + 401\/7. Let n be 25 + (2 - -2)*(-7 - -6). Suppose -3*o = -n - i. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2\/12 - 662928\/(-288).\nAnswer: 2, 1151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 237333?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 7\/3 of a century in months?\nAnswer: 2800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(833)*4)**2*5.\nAnswer: 66640","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 0.221 + -4.221. What is the fourth smallest value in 0.1, 0.02, 1, y?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -11210001 (base 3) to base 9\nAnswer: -4701","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let 2*x**5\/3 - 152*x**4 + 8456*x**3\/3 + 16748*x**2 - 203146*x\/3 + 48300 = 0. Calculate x.\nAnswer: -7, 1, 2, 25, 207","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1 + -1 + -3 - (15 + 21 + -34)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 34870108*a**3 + 73710652*a**2.\nAnswer: 209220648","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (5 + 3 - 6)*(-9889703 - 4*s - 5179*s**3 + 9889703) to k*s**3 + m + j*s**2 + u*s and give u.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: -3 * 1971.85\nAnswer: -5915.55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let v(c) = -7*c. Let r = -362 - -356. Let w(u) = 7*u. What is r*v(q) - 5*w(q)?\nAnswer: 7*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 - 3 - u**2)*(2 - 1 - 3) - 2*u**2 + 0*u**2 + u**2 + (-3 - 2 + 4)*(4 - 3 + 0)*(-2*u + 0*u + 0*u)*(218*u - 146*u + 66*u).\nAnswer: 277*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let a(f) be the first derivative of 1\/6*f**3 + 1 - f - 1\/2*f**2. Let t(r) be the first derivative of a(r). Differentiate t(q) wrt q.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -7396?  (a) 1\/3  (b) 0  (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is -1007 divided by -6?\nAnswer: 1007\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is (-17 - (-14 + -11)) + 308\/(0 + 11)?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 2128\/84 + (-2)\/(-3). Calculate the highest common divisor of 2600 and k.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*q**2\/7 + 2666*q - 18664\/7.\nAnswer: 2*(q - 1)*(q + 9332)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let m(y) be the first derivative of 2\/75*y**5 - 7\/30*y**4 + 8\/15*y + 86 - 13\/15*y**2 + 2\/3*y**3. Determine f so that m(f) = 0.\nAnswer: 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(x) = -35*x + 350. Calculate y(10).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 12\/14*(-47)\/(-282). Let g = -0.5 + -4.5. Let b be (-6)\/40 + 2\/(-8). What is the nearest to b in 0.5, g, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 7473737 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 489535155.\nAnswer: 3, 5, 89, 122231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (134 - 134 + 11*j)*((-j + j - 2*j)*(1 + 1 + 0) - 2*j + 5*j + 0*j) to i*j + k*j**2 + w and give k.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -89*v**3 - 6 + 5 - 2 + 1.\nAnswer: -89*v**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let y(f) = 2*f - 100. Determine y(26).\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 2897 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let a(i) = -63*i + 8. Determine a(0).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let p(l) = 2*l**3 + 44*l**2 - 90*l - 72. Calculate p(-24).\nAnswer: -216","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let r(y) = 3*y + 6. Let g be r(-8). Let f = g + 26. Does 24 divide f\/3*(40 + -19)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 8*a - 4*o = 4*a - 24, 3*o = -4*a + 4 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3*(-2*(0 + sqrt(252) + -1 + 1) + (3*3*sqrt(21))\/(-3*sqrt(75) + sqrt(75)))**2.\nAnswer: -349461\/100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 153912583 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let m(d) be the third derivative of -106*d**2 + 0 + 0*d - 1\/6*d**3 - 5\/3*d**4. Let v(o) = o. Give v(m(c)).\nAnswer: -40*c - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*i + 3 = -4*m + 3*m, -2*i = -4*m - 12 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let s(a) = -2*a - 11. Suppose -3*h + 1 = 16, -4*h = -q + 12. Let u be s(q). Let v(r) = r**3 - r**2 + 5*r + 5. List the prime factors of v(u).\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -35 + 39 - 23\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -3458 by 164.\nAnswer: -1729\/82","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 332222027 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve l - 4*d = -3*l - 28, -d = 3*l + 5 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2 = 4*o + 2*f, 0 = o + f - 3 + 1. Let j = 63 + -65. Sort o, 1, j, -5 in decreasing order.\nAnswer: 1, o, j, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(t) = -t**3 + 4*t**2 + 3*t + 2. Suppose 0 = 3*y, 4*y = -5*s - y + 95. Let x = 22 - s. Calculate the remainder when 57 is divided by m(x).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 0.02 + 0.58. Let p = t + -1.6. Let g = -2.05 - -0.05. Is p at most as big as g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 3143 to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let j(t) = 30*t - 1. Let p be j(1). Let x(y) = -y**3 - 6*y**2 + 7*y + 29. Let k be x(-7). Is k greater than p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 474583853 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 5842 is divided by 279?\nAnswer: 262","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from scmyccrcmmyymmms. Give prob of picking 2 s and 1 c.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (j\/(j\/((j\/(j\/((j\/(j\/(j\/(j**(-7)\/j))*j))\/j)*j))\/j)*j)*j**(-5)\/j*j\/j**(-6)*j*j**(1\/4)*j)**5 assuming j is positive.\nAnswer: j**(145\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -0.1  (b) 0.3  (c) 16  (d) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let b be -4*2\/(-4)*6. Let g be (-4)\/6 - (-92)\/b. Let a be g + (2 - (-2 - -2)). Solve -i = 2*i - a for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1075904 divided by 33622?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -46 + 85. Suppose -5*v + 4*q = -0*q - 32, 2*q = 3*v - 18. Suppose 7*m = v*m + j. Calculate the greatest common divisor of 117 and m.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 0 - (-2 + 4 + -6 - -1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (x**0\/x)**(-21\/2)*(((((x**(-4\/3)\/x)\/x)\/x)\/x)\/x)\/(x*x*x**(-3\/11)) assuming x is positive.\nAnswer: x**(161\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 4730 and 72670.\nAnswer: 430","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let l(x) = 7*x**3 + x**2 + 48*x. Let u(d) = d**3 - d**2 + d. Let g(r) = l(r) + 3*u(r). Find the second derivative of g(h) wrt h.\nAnswer: 60*h - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12 = k + 3*c, 4 + 9 = -4*k - 5*c. Let b = -12 + 27. Suppose l = -0*l + b. What is the greatest common factor of k and l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let 2*p**3 + 13315426*p**2 - 53261728*p + 53261736 = 0. Calculate p.\nAnswer: -6657717, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 o when two letters picked without replacement from {a: 1, k: 1, z: 1, p: 2, o: 2}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 110977 is divided by 1388.\nAnswer: 1325","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 10825 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 1 - 1. Let c = -19531.78 - -19532. What is the third biggest value in -5, c, w?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.5 - 11998.\nAnswer: -11997.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1456*m = 10778 + 870 for m.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 1393685 to the nearest integer?\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 - 4 + 5)*(-1 + 1 + 2*k + (2 - 6 + 3)*(0*k - 2*k + 0*k) - 2 + 2 + 5*k).\nAnswer: -9*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -700.4 - -99.4. Let o = -558.52 - g. Let j = o - 42. What is j rounded to one dp?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1887*v - 130 - 1884*v + 130.\nAnswer: 3*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 0 or 1\/921?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 348025010?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let j(m) = -98*m - 545. Calculate j(-2).\nAnswer: -349","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (8616278*j - 26114*j**2 - 8616278*j + 106718*j**2)*(-1 - 2 + 0) to the form z*j + p*j**2 + o and give p.\nAnswer: -241812","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 14697900677 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Divide 0 by 875884.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 - 2 + 2)*(-51*y + 83*y + 184 - 44*y) - y + 4*y - y.\nAnswer: -10*y + 184","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let k(o) = o**2 + 9*o + 11. Let j be k(-8). Differentiate 5 - f - j*f + 5*f**2 + 4*f with respect to f.\nAnswer: 10*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 117796 and 2156.\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-88)\/396 + ((-43)\/9 - -1). Let u be 126\/54 - y\/(-12). Solve 0 = -u*s + 8 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: (3 + -4 - 3) + (-2 - -6)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from krkzzklkzkpkkl. Give prob of sequence zzzk.\nAnswer: 1\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -2038 + 2056. Let p = -33288.6 - -33270.6027. Let u = p + g. What is u rounded to 3 dps?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 2961205027 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -1022220 - -21?\nAnswer: -1022133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 106392105?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 57 + (19 - 39 - -6) - 15.\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -30*r**6 + 490*r**5 + 2*r**2 - 64972 wrt r.\nAnswer: -3600*r**3 + 29400*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -77, -221, -531, -1091, -1985?\n\"Answer: -14*n**3 + n**2 - 49*n - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:40 PM and 12:59 AM?\nAnswer: 139","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 45321870 is divided by 301?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 11776 and 1344.\nAnswer: 247296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let q(k) = -k**3 - 13*k**2 - 4*k - 44. Determine q(-13).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: 10010101100100100100 (base 2) to base 3\nAnswer: 1011010101112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 1\/816 - 42463\/25296. Find the common denominator of l and 512\/(-108) + 38\/513.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 19797?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: (-84)\/(4200\/10)*(18\/1)\/2\nAnswer: -9\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 285 and 7505.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose y = -11*y + 300. Suppose y*o + 249 = 28*o. List the prime factors of o.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -7601*y + 3941*y + 4257*y + 3 + (-4 + 1 + 4)*(-3*y + 2*y + 0*y).\nAnswer: 596*y + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-1)\/(9*3\/54*-2).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 46278311.\nAnswer: 46278311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Express (-2 + 2 - 2*b)*(51 - 48 + 23) + (1 - 4 + 2)*(b + 0*b + b) as g + r*b and give r.\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Total of -853.16 and -163.\nAnswer: -1016.16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Put 9, 0, 1 in descending order.\nAnswer: 9, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -z**3 + 953*z + 961*z + 1337*z - 3251*z.\nAnswer: -z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 a, 1 s, and 1 f when three letters picked without replacement from {s: 2, a: 2, f: 4}?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 684, 687, 682, 663, 624?\n\"Answer: -g**3 + 2*g**2 + 4*g + 679","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h(y) be the third derivative of -11*y**2 + 0*y - 1\/4*y**4 + 7\/6*y**3 + 1\/60*y**5 + 0. Let l be h(5). Solve r - o + 1 = 2*o, -2 = l*o for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(v) = 2*v**2. Let m(h) = -2*h**2 + 1. What is 3*m(n) + 2*t(n)?\nAnswer: -2*n**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 266461633 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let g(r) = -r**2 + 12*r + 1. Let v(f) = -8*f**2 - 33*f - 4. What is 2*g(d) + v(d)?\nAnswer: -10*d**2 - 9*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: 28.28 times -0.01\nAnswer: -0.2828","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2\/3*x**4 + 0*x**3 + 0*x + 0 + 2\/3*x**2 = 0. Calculate x.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 94942 and 148?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -291*g + 1137*g - 284*g - 284*g - 306*g.\nAnswer: -28*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in 0.5, 6.9, 150, 182, 16?\nAnswer: 182","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-14)\/1*(-996)\/(-1162)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g(p) = 1. Let r(x) = 6*x - 2. Determine 4*g(n) + r(n).\nAnswer: 6*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Put together -11877986 and 0.\nAnswer: -11877986","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (b**(-2\/47)\/(b**19*b)*(b\/(b\/b**(3\/7)))**(-21))**(-2) assuming b is positive.\nAnswer: b**(2730\/47)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let t(d) be the first derivative of -2089*d**6\/6 + 5109*d**2\/2 - 9006. What is the second derivative of t(v) wrt v?\nAnswer: -41780*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -113\/10 and -1\/10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 12502 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: What is the tens digit of 4267?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*l = -23 - 7. Solve 0 = y - 0*y + l for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:45 PM and 10:44 PM?\nAnswer: 59","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let q(w) = 4350*w - 734580. Give q(169).\nAnswer: 570","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*i = -2*i + 4*x - 42, 39 = 5*i + 3*x. Let r = i - -3. List the prime factors of (-9)\/(-2)*(17 - r).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 53075 is divided by 16054.\nAnswer: 4913","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 776434*c**5*o + 2*c**4*o**3 - 142555*c*o - c - 3*o**3 - 3 wrt c.\nAnswer: 15528680*c**3*o + 24*c**2*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 20991*a**3 + a - a.\nAnswer: 20991*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (62\/372)\/((-2)\/4)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be -2 + 3 + 1 + 54. Suppose 0*n - 3*d + 13 = n, 0 = -2*n + 4*d + m. What is the units digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(560)\/sqrt(7) + (sqrt(50)\/(sqrt(60)\/sqrt(6)))**2.\nAnswer: 5 + 4*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 21 times 6661079?\nAnswer: 139882659","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -874*n - 3410 - 86 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {v: 3, x: 1, k: 5, n: 3, l: 8}. What is prob of sequence xv?\nAnswer: 3\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 17000 divided by 1700.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.028 in -0.2, 3, 2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 18 not equal to 3\/901?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is -4487a (base 13) in base 14?\nAnswer: -3351b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*z + 221 = 837. Let g = 79 - z. Let k = -0.41 + 0.11. Which is the third biggest value?  (a) k  (b) 0.2  (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1480 = -4*i - 0*i. Let w = i - 194. Calculate the remainder when w is divided by 36.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: 2eea (base 16) to base 13\nAnswer: 560b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -0.05 - 1.95. Let z = 11.1 + -2.1. Let g = z + -9. What is the nearest to g in i, 0, -0.3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 2 + 1 + (-27 - -18) + (25 - -3).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 107\/18 and 79\/112 - (6 + (-125)\/20).\nAnswer: 1008","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -119637*-0.5.\nAnswer: 59818.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve -39*u + 6 + 16 = -17*u, 0 = -2*l - 2*u - 6 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1*(4*(sqrt(88)*2 - sqrt(88)) + sqrt(88)))\/(-1*2*sqrt(512) + sqrt(512))*2.\nAnswer: 5*sqrt(11)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-1 + 367)*(0 - (-1)\/(-1)). Let c = -251 - j. What is the units digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -28*t + 95*t - 871 = 0 for t.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10*g = -12*g + 10. Suppose -17 = -5*q - 4*w, -2*w - 5 = g*q - 26. Let k = 37 - q. What are the prime factors of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 682?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((r*r*r**(-8)*r)\/r*r)\/r**(-3\/8)*r*r**(-7)*r**(-3) assuming r is positive.\nAnswer: r**(-109\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let j(s) = 34*s**2 + 24*s + 87. Suppose 12 + 52 = -16*m. What is the hundreds digit of j(m)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0\/((16\/(-4))\/(-1))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(o) = 3*o**2 + 2269227*o - 6807699. Determine h(3).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let t(o) = 432163*o + 2592951. Calculate t(-6).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3*(sqrt(98) + -1))**2 + 5 + 1 + sqrt(98) + sqrt(98) - (sqrt(98) + (sqrt(98) - 2*sqrt(98)) + 3)*4.\nAnswer: -112*sqrt(2) + 885","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1 + sqrt(12) - (sqrt(33)\/sqrt(99) - sqrt(3)).\nAnswer: 1 + 8*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 1 + 30334?\nAnswer: 30340","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let u(x) = -x**3 + 3*x**2 + 3*x + 5. Let d be u(4). Let f = 5 - 9. Let t = -115 - -807\/7. What is the second smallest value in t, d, f?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(h) = 8 - 852*h + 862*h + 3. What is q(-2)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve z**5\/6 + 11*z**4\/2 + 43*z**3\/6 - 203*z**2\/2 - 310*z\/3 = 0.\nAnswer: -31, -5, -1, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-35)\/2*(12 - 962\/65). Calculate the greatest common factor of 28 and s.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 f and 1 m when two letters picked without replacement from {f: 1, m: 11, a: 1, u: 4, y: 1}.\nAnswer: 11\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:47 AM and 3:59 PM?\nAnswer: 552","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 376, 756, 1154, 1582, 2052, 2576, 3166?\n\"Answer: 2*b**3 - 3*b**2 + 375*b + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 0.1, 0.4, -0.07, -3, -0.5, 1\/13?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -208*c = -2595151 - 8567169. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 1349 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Find p such that -4*p**4 + 220*p**3 + 2992*p**2 - 43312*p - 46080 = 0.\nAnswer: -18, -1, 10, 64","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (8 - (13 + -1))*5. Sort -1, 6, w in increasing order.\nAnswer: w, -1, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(q) = -3*q**2 - 4*q - 7. Let y be 3\/(-9)*3*2. Let p be b(y). Let z = p - -37. Is z a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 223863?\nAnswer: 3, 71, 1051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let j(x) = -x**2 + 196*x + 4605. Determine j(-21).\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -c = -u - 1, -3*u + c + 6 = -1. Solve u*j - 7 = -0*j + n, 0 = -5*n - 15 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (19 - 6) + -15 - (-1 - -4).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 1 or -44685?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Expand (13*q**3 - 4*q**3 - 2*q**3)*(-273*q + 142*q - 70*q)*(-1 - 6 - 5).\nAnswer: 16884*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 3 + -144?\nAnswer: -141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 9238 to the nearest integer?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3.33*3.\nAnswer: 9.99","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Find p, given that -4*p**2 - 12*p = 0.\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose f + 4*x - 96 = -0*x, 5*f - 5*x = 430. Is 10 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (0\/(-1)*-1)\/(-4).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Put 0, -69, 40, -247 in descending order.\nAnswer: 40, 0, -69, -247","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1\/3 in 2\/57, -2\/7, 5, -2\/9, -0.34?\nAnswer: -0.34","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -3 + 2.95. Let m = j - 0.25. Let n = m + 1.3. Which is the third biggest value?  (a) 0.1  (b) -0.3  (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*k - 5 - 17 = -n, n - 22 = -k. Suppose -20997 = -n*z + 13*z. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -610472359*x + 1106984121 with respect to x.\nAnswer: -610472359","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let b(y) = y**3 - 7*y - 5*y**2 - 8 - 2*y**2 + 0*y**3. Let o be b(8). Let n be 3 - (1 + o) - 0. Solve s + 0 = d - 8, n = 4*d + 2*s for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {g: 1, l: 4, x: 2, e: 2}. What is prob of sequence lelg?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let p(a) = -3*a**3 - 2*a**2 - 4*a - 3. Let o be p(-2). Let y = -12\/73 + 583\/438. Calculate the common denominator of (-192)\/o + (-2)\/(-2) and y.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1832*r**2 + 1839*r**2 - 7350*r**2 + 1843*r**2 + 1835*r**2.\nAnswer: -r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 258 = -8*f + 3682. Let k = f + -82. Suppose -a - 65 = -p, -2*a + 0*a + k = 5*p. Is p a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 77701 to the power of 1\/2, to the nearest integer?\nAnswer: 279","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence qzz when three letters picked without replacement from {o: 1, z: 6, a: 2, q: 4}?\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 52092345 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: Simplify ((sqrt(117)\/sqrt(9)*6 + 1)*-4 + 3)**2*-2.\nAnswer: -14978 - 96*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 12 at least -0.29?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5*6*(sqrt(80) + sqrt(80) + -5 + 2) + 2.\nAnswer: -240*sqrt(5) + 92","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 29\/5 and 101\/13892.\nAnswer: 69460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4*r**3 - 3*r**3 + 5*r**3)*(-2 + 2 + 1)*(-25 - 22*r**2 + 25)*(4 - 1 - 5).\nAnswer: -88*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: 9963*2\nAnswer: 19926","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:23 PM and 5:10 AM?\nAnswer: 647","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 2997, 2995, 2991, 2985, 2977, 2967?\n\"Answer: -q**2 + q + 2997","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:25 AM and 2:21 PM?\nAnswer: 416","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let b(h) = 2*h - 8. Let i be b(6). Suppose -5*k = -4*f + 35, 8*f - i*f = 3*k + 29. Let v be (2\/(-7 + 1))\/(-1). Put v, f, -2\/15 in increasing order.\nAnswer: -2\/15, v, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 32270 to the power of 1\/2, to the nearest integer?\nAnswer: 180","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: (-42655)\/2694 + (-57)\/18\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*w - 6 = r, -2*r - 3 = -2*w - r for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 462362?\nAnswer: 2, 151, 1531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Put -8, -11, -2 in decreasing order.\nAnswer: -2, -8, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*q + 166 - 54 = 0. Suppose -9*w - 10 = -37. Suppose 2*k - 5*y - 150 = 0, -k + w*y = 2*k - 216. What is the highest common factor of q and k?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 921495 to the nearest integer?\nAnswer: 960","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let f(l) = l**2 + 8*l + 10. Let s be f(-4). Let j(o) = 3*o + 13. Let x be j(s). Which is the third biggest value?  (a) x  (b) 0  (c) -4  (d) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from llvilillillvllllvlvl. What is prob of picking 2 l and 2 v?\nAnswer: 156\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let v(i) = -4*i**3 + 5*i**2 + i. Let s(z) = z**3 - z**2 - z. Let a(c) = -5*s(c) - v(c). Factor a(k).\nAnswer: -k*(k - 2)*(k + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(m) = -2*m**2. Let v(w) = 6167*w. What is y(v(b))?\nAnswer: -76063778*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -6*(1*sqrt(2)*2 + 3*sqrt(6)\/sqrt(3)).\nAnswer: -30*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -435*w - 395*w + 1088*w - 410*w = 13832 for w.\nAnswer: -91","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let i(h) be the first derivative of 1733*h**4\/4 + 1535*h**3\/3 - 1623. Find the third derivative of i(z) wrt z.\nAnswer: 10398","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 1706 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is -6.9129 plus -9.1?\nAnswer: -16.0129","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -59*m**5 - 3*m**3 - 13*m + 27.\nAnswer: -1180*m**3 - 18*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Put 279, -5, 0 in decreasing order.\nAnswer: 279, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (1 - 2 - 26\/(-22))*1. Which is greater: b or -1?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.5046434 millilitres to litres.\nAnswer: 0.0005046434","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 653718053 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let t(k) = -k - 1. Let z = -15 - -11. Let u be t(z). Let d(r) = r**3 - 4*r**2 + 3*r + 1. Determine d(u).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 663429849.\nAnswer: 3, 479, 461677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 35418 + (60\/(-2) + 15 - (3 - 12))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 188 = 25*z + 22*z. Let h(r) be the second derivative of 25\/3*r**z + 40\/3*r**3 + 0 + 5*r + 8*r**2. Factor h(b).\nAnswer: 4*(5*b + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-2)\/(-26))\/((-1)\/(-4))*(-199)\/796.\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -5*g**2 - 5*g**2 + 12*g**2 + 29*g**3 - g**2 wrt g.\nAnswer: 174","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -o - 2 = 2*r - 3*o, 5*o - 7 = 4*r. Suppose 4*t = r*t. Solve t = -2*i - 3 + 1 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -1700 divided by 4\nAnswer: -425","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 6*p - 1451 - 631. Suppose 346*q = p*q - 215. List the prime factors of q.\nAnswer: 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be -2 + (2 - (-3 - -3)). Let d = -774 + 802. Sort 3, g, d in decreasing order.\nAnswer: d, 3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-4)\/6 - (-77)\/(-33)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 4\/3 of a century?\nAnswer: 1600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {l: 1, c: 2, s: 1, e: 6, v: 3}. What is prob of picking 1 v and 1 e?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let n(m) = -2*m + 2. Let l be n(-2). Suppose -3*c = -3*x + 105, 5*x - 61 - 46 = 3*c. Let p be c\/(-9) + 4\/18. Solve l = -o + p for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -3, 60, 175, 348, 585, 892, 1275?\nAnswer: 1740","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: -243 (base 11) to base 12\nAnswer: -201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -54 divided by -4?\nAnswer: 27\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 29 + -6. Let n = t + -23.1. Let x = 23 - 15. Is n greater than x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -127413 <= 886?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let w(i) = -i + 0 - 5 - 2. Suppose -5*a - 36 - 4 = 0. What is w(a)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 133031 and 151?\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 133 + 0?\nAnswer: 133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 2120 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Round -4247 to the nearest 100.\nAnswer: -4200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 10*o - 1969 - 4*o**2 - 5*o - 56 + 3*o**2.\nAnswer: -o**2 + 5*o - 2025","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*s**3 - 192*s**2 + 8460*s + 406456.\nAnswer: -4*(s - 46)*(s + 47)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 3831616068 to the power of 1\/10, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 28 and 360?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of k*p**3 - 47*k*p**2 + 518*k*p + k - 28*p**3 - 214*p**2 + 23737 wrt p?\nAnswer: 6*k*p - 94*k - 168*p - 428","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-4)\/(-14) + 12\/(-42). Let b be (-1 + u)\/(3*(-3)\/54). Is 111*3\/b*2\/1 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(l) = -4 - 10 + 4 - 5*l**2 - 11*l + 4*l**2. Let x be p(-10). Suppose -3*a + 59 = 5*i - x*i, -5*a = -3*i - 121. What is the tens digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*q = 2*q + 9. Solve 0 = q*i - 4*i - 4 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {s: 3, t: 8}. What is prob of picking 3 s?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:28 PM and 1:44 AM?\nAnswer: 556","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Round -277740410 to the nearest one million.\nAnswer: -278000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 9849 is divided by 46?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from bbqbbbbbbbbbbbqbbbbb. What is prob of picking 2 b?\nAnswer: 153\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve -29460 = 579*q + 9241*q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: -9a7 (base 15) to base 9\nAnswer: -2884","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -10854*t + 17*t**2 + 21696*t - 10867*t.\nAnswer: 17*t**2 - 25*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -49\/6 and -33\/1253584?\nAnswer: 3760752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Divide 24309578 by -1.\nAnswer: -24309578","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let o(d) = -d**2 - d - 1. Give o(4).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -9278, -9280, -9282, -9284, -9286, -9288?\nAnswer: -9290","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 8221a + -aa?\nAnswer: 82120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 617 + -616.993728. What is y rounded to 4 dps?\nAnswer: 0.0063","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*p + 1612 + 991 = -4*n, -5*n = 2*p - 1720. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*y**2 - 2*y**2 - 2*y**2)*(-71 + 71 - 4*y**2 - y).\nAnswer: 4*y**4 + y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Work out -2622.16 - -29.\nAnswer: -2593.16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*j + 11*o - 72713 = 15*o, -3*j - o = -72703. What is the thousands digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Total of 3.1 and 260.\nAnswer: 263.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(19) - (sqrt(152)\/sqrt(8) + sqrt(19))) + -5 + -1.\nAnswer: -6 - sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 4424209 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 + 2 + z)*(4*z**3 + 2*z**3 - 3*z**3) + 0*z**3 + 2*z**4 + 0*z**3 - 4517 + 4517 - 247*z**4 + (z**3 - z**3 - z**3)*(1 + z - 1).\nAnswer: -243*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"}
{"text":"Question: Let h be 4\/(-2) - (-45 - -41). Find the third derivative of -2*j**5 + 3*j**3 + 1557*j**h - 1525*j**2 + 3*j**4 - 3*j**3 wrt j.\nAnswer: -120*j**2 + 72*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (b**(-24)\/b**(-29))\/(b\/b**(-17\/3)*(b\/(b*b**(-9)))\/b*b*b) assuming b is positive.\nAnswer: b**(-35\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let y(k) = 3*k**3 + 4*k**2 - 5*k - 5. Let c = -16 + 18. Suppose -4*g + 35 = -c*b + 5*b, b + 10 = 3*g. Is y(b) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12 = -2*l + 8*l. Suppose -5*r + l*w + 2223 = 0, 2478 - 259 = 5*r - w. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 689 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: Solve 2*r - 2*n = -2*r - 14, -r + 10 = 4*n for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 80*b**5 + 4*b**4 + 49418*b**2 + 400361011*b?\nAnswer: 1600*b**3 + 48*b**2 + 98836","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2?  (a) -524  (b) -3  (c) 1  (d) 4  (e) 26\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -9 + (-8 - -55) + -11 + -11?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*w**3 - 1548*w**2 + 186951*w = 0. What is w?\nAnswer: -617, 0, 101","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 18\/(-42) + 3\/7. Suppose r = -3*g + 2*w + 544, 2*g - 7*g + 5*w = -905. Calculate the remainder when g is divided by 37.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (12 - -4) + (-12 - (-15 + -12))?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 90?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let v(z) = -z**2 - 20*z + 4. Let u be v(-14). What is the greatest common factor of u and 66?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 1 - 1 + q**4 - 6*q**4 + 4*q**4 + q**4 + (1 - 2*q - 1)*(5*q - 5*q + q**3).\nAnswer: -2*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is -10 (base 5) in base 15?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v(d) = 2*d**2 - 5*d - 136. Let s(f) = 10*f**2 - 26*f - 704. Give -2*s(u) + 11*v(u).\nAnswer: 2*u**2 - 3*u - 88","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is eleven halves of a decade in months?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 h and 1 m when two letters picked without replacement from {m: 3, h: 3, p: 1}?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 740988 divided by 12.\nAnswer: 61749","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {j: 3, m: 11}. Give prob of sequence mmmm.\nAnswer: 30\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is -43 at least -55?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (4 - 6) + 204\/4. Let u be 3\/(15\/2450) + 3. Let x = u + -297. Calculate the greatest common factor of x and o.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 40 + -35. What is the highest common factor of 25 and f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 63 - 29. Let k = -32 + l. Are k and 0.4 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10 + 11 = 7*r. Suppose -r*p + 99 = -390. What are the prime factors of p?\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*h + 3 = -v, 2*v - 4*h = -0*v - 4. Suppose -3*c = -v*c - 9. Suppose j + c*j + 16 = -r, 5*j = -25. Solve -2*d - 5*m - 15 = -3*d, -r*d = 4*m + 36 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -11648*i + 2922*i + 2912*i + 2916*i + 2911*i.\nAnswer: 13*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -8 + 19. Let q(z) = 3*z**2 + 3*z + 3. What is the remainder when q(-3) is divided by v?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1716730 to the power of 1\/2, to the nearest integer?\nAnswer: 1310","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 35812.\nAnswer: 2, 7, 1279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -30*k**2 + 13*k**2 + 7*k**2 + 11*k**2.\nAnswer: k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-18)\/(-14) + 2\/(-7). Suppose 2*w - 2*l - 12 = 0, 0*w + 3*w - 4*l = 18. Let j be (0\/(-2 + w))\/(-1). What is the third biggest value in v, j, 2\/5?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -40748 - 164568 = -160*x + 73724. Calculate the highest common factor of x and 763.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 1902034?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1126884 = -5*l + 6579749. Suppose -4*q = -2*u - 1800000, -4*q + u = -709427 - l. Round q to the nearest 100000.\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are 31\/3406870 and 0 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*m + 803 = 407. What is the greatest common divisor of 198 and m?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 802487 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: (0 - 0) + 0 - -3\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Express -45*l**2 + 23*l**2 + 1 + 21*l**2 - 26*l + 0 in the form c + n*l + k*l**2 and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -15, -23, -31?\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in 6\/7, 1, 0.7, 3, -0.3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let l(w) = -21 + 16 + 2*w**2 + 5. Let v(r) = 6*r. Give v(l(h)).\nAnswer: 12*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 300 minutes before 6:14 AM?\nAnswer: 1:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let l(m) = 9*m**2 + 346*m + 2745. Determine l(-12).\nAnswer: -111","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let u(o) = 11*o + 32. Let j be u(-4). Do j and -14 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 11 and 16200?\nAnswer: 178200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 4  (b) 275\/98  (c) 260\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let o(d) be the first derivative of -1412*d - 126 + 1412*d - d**2. What is o(7)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -929 + 933. Solve -30*n + 26*n + w = 0 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(o) = -5*o - 10. Let r(z) = 11*z + 21. Let d(b) = -6*r(b) - 13*y(b). Let f = -8 + 3. Let q be d(f). Solve q = -3*a - 2*m, -a - 2*a + 5*m = 9 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -113616 = -34*c + 18*c. What is the tens digit of c?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 269483435?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Does 6 divide 1782?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 566, 2237, 5026, 8939, 13982, 20161?\n\"Answer: p**3 + 553*p**2 + 5*p + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 59997\/(-3) + (0 - 1). Round q to the nearest 100000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(v) be the first derivative of 0*v**2 + 5\/3*v**3 + 0*v**4 + 0*v**5 - 5 + 0*v - 2\/3*v**6. What is the third derivative of g(z) wrt z?\nAnswer: -240*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1667595 > -1\/285?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(7) + 5*sqrt(42)\/sqrt(6) + (sqrt(7) + 3*sqrt(7) + sqrt(7) + 3 - sqrt(7)) + (-5*sqrt(847)*2 + sqrt(847) + 1)**2 + -1.\nAnswer: -188*sqrt(7) + 68610","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*k - 8*k + 5*d - 5 = 0, 4*k = 2*d + 2 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -29.00000052 - -29. What is z rounded to 7 dps?\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from xmgemxmmxm. Give prob of sequence xmgg.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 222\/74*((-5)\/15)\/(3\/42)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 5102390, 20409542, 45921454, 81638120, 127559534?\nAnswer: 183685690","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 86*l + 102 = 69*l for l.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 1\/(-8) + (-10062)\/(-182000) and 62\/125.\nAnswer: 875","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2511539 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*w + 125 = r, 3*w - 100 = -0*w - 2*r. Let k = 1 + 2. Solve -5*i = -5*l + w, k*l + 2*i = i + 6 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 109 + 143 = 7*r. Sort 0, 3, r.\nAnswer: 0, 3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(r) = -3*r**2 - r - 2. Let z(u) = -9*u**2 - 2*u - 7. Let l(y) = -7*m(y) + 2*z(y). Solve l(d) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -23.52 - -24. Let o = q + -0.18. Which is the third smallest value?  (a) -5  (b) o  (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -2*d**5\/19 - 1522*d**4\/19 - 387092*d**3\/19 - 33158180*d**2\/19 - 65161162*d\/19 - 32388554\/19 = 0. Calculate d.\nAnswer: -253, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let y(l) = 2*l**2 - 54*l - 133. Determine y(29).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is -116 - -120 - (4 + -2 - 3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -3 + -1705858b?\nAnswer: -17058592","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-2081770)\/3401 - (-4)\/38. Which is the closest to r?  (a) 0  (b) -0.2  (c) -3  (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(d) be the first derivative of d**4\/4 + 11*d**3\/3 + 7*d**2\/2 - 2*d - 10. Let h be 1 + -10 + 0 + 0. What are the prime factors of b(h)?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from cbllicoiill. Give prob of picking 1 c and 1 i.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 586904?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 708328, 708335, 708342, 708349?\n\"Answer: 7*f + 708321","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 1750816 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let b(v) be the first derivative of -244*v**2 - 5231*v - 5623. What is the first derivative of b(g) wrt g?\nAnswer: -488","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 128 divided by 17.\nAnswer: 128\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -41082 + 20496 + 30*g**2 - 9*g**2 + 20586.\nAnswer: 21*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 54387323 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 56726*c**3*u**2 + 2*c**3*u + 229*c**3 - 48*c**2 + u**2 wrt u?\nAnswer: 113452*c**3 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Express 2*s + 2*s**2 + 2*s**2 - 8*s**4 + 9*s**4 - 2*s**2 - 3*s**3 as x + a*s + m*s**2 + g*s**4 + v*s**3 and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 191*v**4 + v**3 + 2*v**2 + 101 wrt v?\nAnswer: 4584*v + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-4 - -6)\/(7 + 0 + 2). Which is the second biggest value?  (a) 2\/33  (b) -4  (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(x) = -24*x + 4. Let g(t) = 5*t. Let k(z) = 5*g(z) + w(z). Determine k(-6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((3 + sqrt(1331))*-4)**2 - (-4 + -4*sqrt(1331) + sqrt(1331)).\nAnswer: 1089*sqrt(11) + 21444","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 500*i**4 - 1151300*i**3 + 663091145*i**2 - 397543890*i + 59616045 = 0.\nAnswer: 3\/10, 1151","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2 = g - 1. Let d = 11 - 5. Let t = d - 6. Which is bigger: t or g?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 3\/5  (b) -0.3  (c) -1\/7  (d) 4  (e) 5\/17\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence fpf when three letters picked without replacement from {f: 4, p: 2}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.3522?  (a) 1  (b) 17  (c) -3\/2  (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 24168*j**3 + 20931*j - 1 wrt j?\nAnswer: 145008*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 102873 to the power of 1\/2, to the nearest integer?\nAnswer: 321","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is -1 at least as big as 23\/111?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -2100344 - -103221?\nAnswer: -1553123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -2*p**4*z + 22*p**3 + 95539*p**2*z + 35250148*p*z wrt p.\nAnswer: -24*p**2*z + 132*p + 191078*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let q(z) = -264*z - 10290. Determine q(-39).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Convert 94417.98 decades to months.\nAnswer: 11330157.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o(l) = 2*l**3 + l + 1. Let f(v) = 3*v**3 + v**2 + v + 2. Let b(p) = -4*f(p) + 7*o(p). Let x = 2 - 0. Let w be b(x). Solve 1 = 2*c + 9, 2*g = w*c + 20 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -78ca (base 14) to base 7\nAnswer: -115043","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in 3, 0.035, 3\/4, 3\/2, 0.04, 16.674?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Sum 3 and -217.09.\nAnswer: -214.09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1*(-1 + 4*2*(sqrt(13) - sqrt(832)))**2.\nAnswer: 112*sqrt(13) + 40769","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1?  (a) -4  (b) -26792  (c) 0  (d) 5  (e) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*r**5\/11 + 25644*r**4\/11 + 81712586*r**3\/11 - 285484992*r**2 + 6035429480*r\/11 - 2976832800\/11 = 0 for r.\nAnswer: -6430, 1, 36","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -179*t**4 - 39932*t**2 - 68118935.\nAnswer: -716*t**3 - 79864*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4 = -z - 3. Let b be 1 - z - (11 - 15). Suppose -5*h = -a + 5, 5*a - 4*h + 0 - 4 = 0. Solve a = 5*p - 5*o + 10, -b*p - 4*o + 4 = -20 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -1.3 - -1.368. Let o = -0.06 + q. Round o to 2 decimal places.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 54920323.\nAnswer: 1229, 44687","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let d(n) be the first derivative of -1204*n**3\/3 + n**2 - 413*n - 106. What is the second derivative of d(q) wrt q?\nAnswer: -2408","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 584888.\nAnswer: 2, 113, 647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-4715)\/391 + 10\/170?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ew when two letters picked without replacement from {h: 4, e: 1, z: 1, l: 3, w: 4, p: 1}.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let h(z) = 2*z + 1. Let j(a) = -7*a - 13. Let o be ((-8)\/16)\/(1\/4). Let r be j(o). Let f(u) = u + 1. Calculate r*h(i) - 3*f(i).\nAnswer: -i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 0.06 + -0.26. What is the nearest to 1 in 1, 0, x?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(t) = -218*t**3 + 4*t**2 - 4*t + 3. Let l be h(2). Let b = -28939513\/14 + 2068834. Let q = l + b. What is the common denominator of -47\/16 and q?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(t) be the first derivative of -2*t**5\/5 - t**4 - 2*t**3\/3 + 5. Let p(w) = 0. Calculate w.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*z - 2*p + 16 = 0, 0 = -z - 2*p + 9 + 1. Let h = -0.026065 - -1.026065. Which is the nearest to z?  (a) -4  (b) 0  (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5*k + k + 3*k + (6*k - 5*k + k)*(-1 - 2 + 2))*(-k - 11*k**2 + 3*k + 13*k**2).\nAnswer: -6*k**3 - 6*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Put 32, 0, -57\/59 in increasing order.\nAnswer: -57\/59, 0, 32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let r(a) = -a**3 + a**2 - 1. Let c(l) = -12*l**3 + 18*l**2 - 12. Determine -2*c(o) + 22*r(o).\nAnswer: 2*o**3 - 14*o**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -3\/4  (b) 0.5  (c) 0  (d) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: 1011001100 (base 3) to base 14\nAnswer: 836b","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"}
{"text":"Question: Solve -377 - 408 = -137*x - 3*h - 272, x - 2*h - 173 = -7*h for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence vvt when three letters picked without replacement from tvtvtttvvv.\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Express 0 + 709*w + 592*w - 97*w - 142*w - 2 as v*w + f and give v.\nAnswer: 1062","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-71)\/(-7) - 114\/(-133). Let m = 598 + b. List the prime factors of m.\nAnswer: 3, 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*o**3 + 381031*o**2 - 12098782085*o + 4032885025 = 0.\nAnswer: 1\/3, 63505","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 56  (b) -1  (c) 3  (d) 4\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 86706 is divided by 2835.\nAnswer: 1656","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Does 248 divide 57150112?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((j*j*j**0*j)**(-14))**(-1\/33)\/((j**4*j**(-1\/2))\/(((j\/(j\/j**(-6)))\/j*j)\/(j\/(j\/(j\/((j*j\/(j\/(j\/(j*j**4))))\/j))*j)))) assuming j is positive.\nAnswer: j**(-269\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 101 to the power of 1\/2, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 3694?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 c and 2 s when three letters picked without replacement from imcsrisj.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 1435006?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 441*y - 394*y - 1363 = 0. Solve y = -62*r + 91*r for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -281 - -286. Factor 3*l**3 + r*l**3 - 24 + 43*l**2 + 79*l**2 - 13 - 98*l + 5.\nAnswer: 2*(l - 1)*(l + 16)*(4*l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 2*r**3 + 0*r**3 - 3*r**3 + (-3 + 3 - 2*r)*(-r**2 + 3*r**2 - 4*r**2) + 248*r**3 + 54627 - 54627 in the form d + u*r**2 + y*r**3 + p*r and give y.\nAnswer: 251","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Determine j so that 12*j**5\/5 - 2116*j**4\/5 - 6444*j**3\/5 - 2188*j**2\/5 + 6432*j\/5 + 4304\/5 = 0.\nAnswer: -2, -1, 1, 538\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is -5 divided by -286060?\nAnswer: 1\/57212","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let m(f) = 4*f + 15. Let w(x) = 2*x + 7. Let u(n) = 6*m(n) - 13*w(n). Give u(-1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 11*l - 31*l + 10*l + 9*l.\nAnswer: -l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 24.5 + -24. Sort -2, s, -4 in descending order.\nAnswer: s, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 67892 + -43029. What are the prime factors of j?\nAnswer: 23, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 95994 and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 19707.98945 rounded to the nearest 1000?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Express (69*g - 4*g - 10*g)*(2*g - 4*g - g)*(20 + g - 20) in the form u*g**2 + z + r*g**3 + w*g and give r.\nAnswer: -165","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let c(m) = 734*m - 1465*m + 34*m**2 + 731*m. Let k(u) = -60*u**2. Give k(c(i)).\nAnswer: -69360*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence wwv when three letters picked without replacement from {a: 3, v: 5, w: 10, y: 2}?\nAnswer: 5\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let k(v) = 33 - 33*v**2 + 33*v - 920*v**3 - 927*v**3 + 1862*v**3. Let a(m) = -m**3 + 2*m**2 - 2*m - 2. Calculate -33*a(i) - 2*k(i).\nAnswer: 3*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -4\/7, 6.73, -88\/13, 0?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 24\/7 less than 0.14?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -66 in 5, -0.4, -2\/3, -2, -60138, 0.2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -2427 - -2964. Is n a multiple of 119?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 175884?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 17, 32, 47, 62?\n\"Answer: 15*j + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -302031121 (base 4) in base 5?\nAnswer: -23040112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let -4*v**5 + 3860612*v**4 + 19303160*v**3 = 0. Calculate v.\nAnswer: -5, 0, 965158","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4385665072.\nAnswer: 2, 3019, 90793","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 0.1  (b) -4  (c) -14\/3  (d) -3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1 + 0 - 750\/(6 - 12)?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 7814 is divided by 57.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Divide 16668225 by 5.\nAnswer: 3333645","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*f + f + 5*c - 155 = 0, -c = -2*f + 125. Let j = f + -55. Suppose -j*m = -5*l - 2885, -2*l + 12 = l. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 122749620 a multiple of 690?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00004906 rounded to six decimal places?\nAnswer: 0.000049","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 589 minutes after 6:11 PM?\nAnswer: 4:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 7 + -9. Which is the biggest value?  (a) g  (b) 4  (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1 at most 1\/1481006?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Round -488526090 to the nearest one million.\nAnswer: -489000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4 - 2 + 3)*(-2*h**4 + h**4 + 0*h**4) + 112*h + 2*h**4 - 112*h + h**2 - h**4 + 0*h**4 - h**4.\nAnswer: 3*h**4 + h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is (-2 - -1)*(-32)\/(-16)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 14078119357 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -29.129 - -0.129. Let o = 29.35 + v. Put -0.5, -2, o in descending order.\nAnswer: o, -0.5, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -19 + -98. Let n = r - -817\/7. What is the smallest value in n, -1\/4, 13?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.005659371794 rounded to six decimal places?\nAnswer: -0.005659","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: -462377682 divided by -204411\nAnswer: 2262","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (z*z**(1\/3)*z*z*z)**23\/(z*z**0*z**(-1\/2))*(z**1)**(17\/5)*(z\/z**(-1)*z)**(12\/5) assuming z is positive.\nAnswer: z**(3293\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 3209.603 seconds in milliseconds?\nAnswer: 3209603","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z(h) = h**2 + 5865*h - 23479. Determine z(4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Convert 4209.4 millennia to centuries.\nAnswer: 42094","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5*(-1 + sqrt(1053) + (sqrt(468) + 1 + sqrt(468))**2 - sqrt(65)\/(sqrt(5) + ((sqrt(245) + (sqrt(245) - 2*sqrt(245)) - sqrt(245)) + sqrt(5) - sqrt(5)))).\nAnswer: -9360 - 995*sqrt(13)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 1 + -2. Let l = w - -7. Let t = -4 + l. What is the units digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -4106 divided by -5.\nAnswer: 4106\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Convert 625408 (base 10) to base 9.\nAnswer: 1152807","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*u - u + 11678 = 3*f, u + 2*f - 2917 = 0. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 421 = 3*x - 4*y + 5*y, -x - 2*y + 142 = 0. Suppose 5*s + 5*w = x, -s + 5*w + 60 = 2*s. Is s a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(m) = 3*m**2 - 85*m - 5. Is z(38) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 0 + 50 + -3 - (-5 - -2 - (-75 + 62)).\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 13244 - 105411?\nAnswer: -52123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let h be ((-1)\/(-4))\/(16\/576). Let w(m) = m**2 - 10*m + 6. Calculate w(h).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 178625 is divided by 99.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let s(t) = -11*t + 6. Let n(f) = -197092*f. Determine n(s(w)).\nAnswer: 2168012*w - 1182552","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 2734007?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/10 of a millennium in centuries?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 690 minutes after 8:31 PM?\nAnswer: 8:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -22.1 - -22. Which is greater: y or -1.5?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2 + ((sqrt(13) - (-2*sqrt(13) + sqrt(13)))*-1 - sqrt(117)\/(sqrt(18)\/sqrt(2))))**2.\nAnswer: 12*sqrt(13) + 121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 5293 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let z(b) = 25*b**3 + b**2 - 3*b**2 + 3*b**2. What are the prime factors of z(1)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -30 + 112. Let c = 83 - s. Let z = 0.4 + 0.1. Put z, c, 2\/5 in decreasing order.\nAnswer: c, z, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(g) = 77*g + 13. Let i be q(-6). Let x = i - -815. Suppose x = 4*y + 2*y. Is y a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -9*g + 60 = 5*w - 17, 3*w = -64*g + 59*g + 43 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -4 and -4.2?\nAnswer: 16.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let v(z) = -17*z - 16. Let m(t) = t**2 + 26*t - 1438. Let k be m(-53). What is v(k)?\nAnswer: 103","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand h**2 - h**2 - h**2 - h**2 + 2*h - 2*h + (-5*h**2 + 15 - 15)*(-4 + 4 - 3).\nAnswer: 13*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 308912565*a**2 - 125523193*a + 2 wrt a?\nAnswer: 617825130","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*n + 6 = -3*i - 0*i, 5*n + 3*i = -6. Let z = 51 - 52. Let s = n - z. Sort s, 4, 2 in increasing order.\nAnswer: s, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -24 divided by -24.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -98 in 1, 0.5, -78?\nAnswer: -78","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (16\/6)\/(1 + (-4)\/12). Let t(n) = n - 6. Let w be t(6). Solve -m*c + 3*i + 2*i - 5 = w, -i = -3*c + 10 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from bjxuttxbbxxbtb. Give prob of picking 1 b and 2 t.\nAnswer: 15\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let j(y) = y**3 - 3*y**2 + 3*y. Let g be j(2). Let r(o) = -5*o**2 + 6*o**2 + g*o**2. Let v(h) be the third derivative of h**5\/60 - 2*h**2. Give r(v(c)).\nAnswer: 3*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 2196275 divided by 5?\nAnswer: 439255","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 8, 15, 26, 41?\n\"Answer: 2*g**2 + g + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 296956 and 9537?\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 8 + -64 + 72 + (0 - 2 - 14)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 1\/5, 4, 96\/49, -1\/3, 62?\nAnswer: 96\/49","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 58 = 3*p - 2*s, -2*s = 17*p - 12*p - 118. Suppose -51 = p*n - 117. Let m = -4 + 8. Solve m = -2*q + n*q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((12320\/42)\/20*-2)\/((-4)\/12)?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many milligrams are there in 752763.3ng?\nAnswer: 0.7527633","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -10*v + 31 = -29 for v.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is (17 - 1) + -2333 + 2288?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -678000076391 and 5?\nAnswer: 678000076396","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -15*y**5 + 7*y**4 + 67*y**3 + 1482*y**2 + y - 218 wrt y.\nAnswer: -900*y**2 + 168*y + 402","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -9 + 14. Suppose 8 = -l*c + c. Let f be (9\/(-2))\/(1\/c). Which is smaller: f or 10?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 66 = -9*i + 6*i. Let r(c) = -2*c**3 + 2*c**2 + 2*c + 2. Suppose -89*u + 64 = -292. Let w(v) = -10*v**3 + 11*v**2 + 11*v + 11. Determine i*r(f) + u*w(f).\nAnswer: 4*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 487 - 216. Let d = -185 + h. Is d less than or equal to -1\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (3\/(-4) + 1)\/(43\/(-430)). Which is the third biggest value?  (a) 0  (b) z  (c) 0.018\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 111000 + -1001101101001?\nAnswer: -1001100110001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((p**(-6)\/p**2)\/(((p*p**(2\/3)*p)\/p)\/(p\/(p\/(p*p\/(((p*(p**7\/p)\/p)\/p*p)\/p)))*p*p)))\/((p**8\/p)\/p**6)**(21\/4) assuming p is positive.\nAnswer: p**(-191\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let v(p) = -p**3 - 10*p**2 + 14*p + 11. Is v(-12) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 6460205159 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-530)\/(-265))\/((-10)\/1)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let a(b) be the second derivative of 1\/5*b**5 - 2\/3*b**3 + 0 + 4*b + 0*b**4 + 0*b**2. Find the second derivative of a(m) wrt m.\nAnswer: 24*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-4 + 0 + 6)*(1 + 1 - 3)*(-14*i - 89*i + 102*i - 21) to the form m + p*i and give m.\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve 20792*z - 21033*z + 16147 = 0 for z.\nAnswer: 67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence vbvd when four letters picked without replacement from vbzhvvzjjvjhvhzhzd?\nAnswer: 1\/3672","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Expand -3 + 3 - 2*y**2 + (2 - 2 - 2)*(-2*y**2 + 1 - 1) + (-20*y - 3*y + y)*(-y + y + 2*y).\nAnswer: -42*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 69 and 833037.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2?  (a) -1\/2  (b) 1  (c) 1\/2  (d) -6014.054\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 6 - 4. Let c = -62505 + 88656. Suppose -p*f - c = 3849. What is f rounded to the nearest ten thousand?\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: -9dc (base 15) to base 14\nAnswer: -b56","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 52 and 1850836?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 0 or -3\/1222442?\nAnswer: -3\/1222442","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 5 - 12e?\nAnswer: -129","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Divide -80535 by -39.\nAnswer: 2065","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 1204.9 millilitres in litres?\nAnswer: 1.2049","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-1 + 4 + -2)*(-25)\/(-5).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -16*r = -31*r + 2550. Is r a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 18346198 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-4)\/(-6) - (-7)\/3. Suppose 2*r + h*r = 35. What is the units digit of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -7.74, 12\/7, -3, -4, 0.3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 65*w**3 - w + 0*w + w - 49*w**3.\nAnswer: 16*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let x(w) = -3*w + 27. Let z(r) = r**3 - 3*r**2 - 29*r - 3. Let g be z(7). Let j be x(g). Let f = 62 - j. Which is the nearest to 0.2?  (a) f  (b) -0.2  (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -65.00054 - -65. Round k to 4 decimal places.\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(r) = 7 + 3*r + 9*r - 3*r - 4. Let z(h) = 64*h + 20. Let s(i) = 20*a(i) - 3*z(i). Let t(v) = 3*v**2. Give s(t(y)).\nAnswer: -36*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Does 101 divide 105425820?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3*sqrt(187)*1)\/(sqrt(33)\/(sqrt(3) - sqrt(12))) - (-5*sqrt(850) + sqrt(34))\/(sqrt(14)\/sqrt(175)).\nAnswer: 117*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is -2.171915 rounded to two dps?\nAnswer: -2.17","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 7\/3*(-522)\/(-203)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 45725.\nAnswer: 5, 31, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Does 5 divide 2255?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 104301934 to the power of 1\/2, to the nearest integer?\nAnswer: 10213","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -85.2017 - 0.8283. Round i to zero dps.\nAnswer: -86","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 1679926578?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 134637 - 75398. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -l**3 - 3*l**2 - 37?\nAnswer: -3*l**2 - 6*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Round -10.45811277 to two dps.\nAnswer: -10.46","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-3 + 3 + f**3)*(4 - 4 - f) + (-f**4 - 11*f**4 + 2*f**4)*(12 - 2 + 21) to z + i*f**2 + h*f**3 + d*f + q*f**4 and give q.\nAnswer: -311","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let b(c) = -2*c**2 - 5*c + 5. Let i(n) = 331*n - 641*n + 311*n - 1 + n**2. Give b(z) + 4*i(z).\nAnswer: 2*z**2 - z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-10)\/(-6) + (-14)\/21. Let d = 19.9 - 21. Let h = d - -1. Which is the closest to k?  (a) 2  (b) 3\/7  (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 8 - 84 - -74 - ((1 - -2) + 2)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-4)\/((-2 - -3)*1). Let s = -0.62 + 0.82. Which is greater: s or y?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: 259 times 262243\nAnswer: 67920937","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let l(t) be the third derivative of -t**5\/30 - 5*t**4\/24 - t**3\/2 - 3*t**2 + 12. Let s = 8 - 11. Calculate l(s).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -3 + 3 - 3*y**2 + (-3*y + 4*y - 2*y)*(-1 + 2*y + 1) - 6*y**2 + 13*y**2 - 8*y**2 + (2*y - 3 + 3)*(0*y - 4*y + 2*y) + 29*y**2 + 5*y**2 - 11*y**2.\nAnswer: 13*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*b - 34 - 26 = 0. Suppose -3*i = 4*o - 30, 3*o + 2*o + b = 3*i. Find the third derivative of i*y - 2*y**2 - y**6 - 10*y wrt y.\nAnswer: -120*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1421?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let i(n) = -8*n - 12. Let t = 123 - 141. Is 22 a factor of i(t)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 20 - 34. Let n = -11 - f. Suppose 0*c + 6 = -n*c, -4*z = 2*c - 72. Does 4 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-45)\/60 - 6\/(-24). Let x = 31.6 - 6.6. Put x, l, -3 in ascending order.\nAnswer: -3, l, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -0.488003954 - -0.488. What is u rounded to 7 decimal places?\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -1214, -1180, -1080, -878, -538, -24?\nAnswer: 700","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-6)\/(4\/8 + (-1)\/(-4)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -32 (base 6) to base 13.\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let c(t) be the first derivative of t**7\/7 - t**4\/6 - 6*t - 1. Let g(u) be the first derivative of c(u). Find the third derivative of g(h) wrt h.\nAnswer: 360*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*n - 3*x = -0*n + 1, -2*n - 2*x = 2. Suppose 4*u = -u - 10, -5*g - 56 = -2*u. Calculate the least common multiple of 3 and (1 + -2)*n - g.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(z) = -2763*z - 2 + 2 + 2760*z. Let q(i) = 8*i. Calculate q(d(k)).\nAnswer: -24*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 347090627 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -9660\/11 - -877. Calculate the common denominator of (-53)\/(-22) - (3 - 36\/8) and v.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 787485?\nAnswer: 3, 5, 47, 1117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: How many grams are there in one quarter of a kilogram?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (g\/((g**(-5)\/g)\/g)*g*g*g\/g**(-4\/9)*g*g*g\/(((g\/((g*g*g**(-6)*g)\/g))\/g*g)\/g)*g\/(g\/(g\/g**0)*g))**(-15) assuming g is positive.\nAnswer: g**(-470\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (2 + -1)*(2 - 2). Let q(y) = y**2 + 7 + 4*y + h*y**2 + 0*y**2. Is q(-6) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*b + 0*b + 4*z = 5, 0 = 5*b - 4*z - 5. Suppose 2*y - 24 = b*y. Let s be 1036\/y - 3\/6. Round s to the nearest 100.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 2026, 4090, 5988, 7636, 8950, 9846, 10240?\n\"Answer: -14*j**3 + j**2 + 2159*j - 120","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q(c) = -207*c**2. Let z(n) = 772136*n + 17*n**2 - 772136*n. Determine z(q(u)).\nAnswer: 728433*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 53 - 52.5. Let z = 283.4 - 283.9. Sort -2\/9, h, z, 6 in increasing order.\nAnswer: z, -2\/9, h, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -2175595*a**5 - 193*a**2 - 52*a - 19.\nAnswer: -130535700*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4*(sqrt(256)\/(sqrt(8) + sqrt(32)) + 2) + (1*(sqrt(224)*-1 + sqrt(224)) + sqrt(224))\/(sqrt(343) + sqrt(343) + sqrt(343)*1 + sqrt(343)) + 0)**2.\nAnswer: 1840*sqrt(2)\/21 + 54674\/441","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let k be ((-104)\/(-65))\/((-4)\/(-10)). Solve 7*n + 12 = k*n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -244*i**2*u**2 - 2*i**2*u*z**2 + 533*i*u*z**2 + 5*i*u*z - 8*i*u - 31*i*z**2 + 731284*u**2*z**2 - u*z**2 + u*z wrt u?\nAnswer: -488*i**2 + 1462568*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Find c, given that -2050*c + 1500 + 265\/2*c**3 - 385*c**2 - 15\/2*c**4 = 0.\nAnswer: -3, 2\/3, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(p) = -20*p - 210. Let d be s(-10). Let n(a) = a**2 + 22*a + 128. Let z be n(d). Solve -z*k + 32 = -4*b - 3*k, 0 = -3*b + 2*k - 17 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -24  (b) -7  (c) -4  (d) -8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -8*21\/(-126)*3*-1?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*h + 15 = 6*h - 5*x, 3*x + 26 = 4*h. What is the least common multiple of (-4)\/20 - (-71)\/h and 2?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -6528 - -6524. Let c be (-34)\/10 - (-4)\/10. Let l be -3*(-2)\/(-3) - c. Put h, l, -0.4 in ascending order.\nAnswer: h, -0.4, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 3 + 1. Let g = -4 + l. What is the nearest to g in 5, 0.3, 2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 7770 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 15*g + 2 + 9*g + 9*g to j*g + x and give j.\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 6 in 2\/7, -0.5, 2651, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let t(w) = -w**3 + 58*w**2 + 183*w + 75. List the prime factors of t(58).\nAnswer: 3, 7, 509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 216  (b) 4.2  (c) 4  (d) -5  (e) 28\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 39884102 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Determine u, given that 2*u**4 - 4*u**3 - 26*u**2 - 20*u = 0.\nAnswer: -2, -1, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 124 is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -2 or -49389.9?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -74 + 77.1. Let x = 3 - 3.1. Let t = s + x. Which is the third smallest value?  (a) -2  (b) t  (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-70028)\/(-1845) - 36\/(-810)?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1277998.\nAnswer: 2, 638999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in seven quarters of a litre?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1015918?\nAnswer: 2, 43, 11813","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 25\/4 of a litre in millilitres?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 25 minutes before 12:12 PM?\nAnswer: 11:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 13087 + 11091*t - 13087.\nAnswer: 11091*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -44  (b) -5  (c) -0.5  (d) 0.5  (e) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 - 2*c**4 - 2)*(-2*c - 2 + 2) + 39971*c**3 + 471*c**5 - 39971*c**3.\nAnswer: 475*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*a + 4*x - 102 = 0, -2232*a + 2236*a + 3*x - 52 - 32 = 0 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 2\/28 + 57\/133. Which is the nearest to 0.1?  (a) n  (b) -8\/7  (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find m such that -14*m**5 + 78*m**4 - 40*m**3 = 0.\nAnswer: 0, 4\/7, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 4 k when four letters picked without replacement from {n: 13, k: 6}.\nAnswer: 5\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -34*c**2 + 5*c**2 - 24*c**2.\nAnswer: -53*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: -13*-4.36\nAnswer: 56.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 w, 1 h, and 1 c when four letters picked without replacement from mhhwwmhmwhcxwx?\nAnswer: 24\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 308923 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {n: 1, u: 2}. What is prob of sequence uu?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let f(s) = -s**3 + 17*s**2 + 31*s - 397. Give f(9).\nAnswer: 530","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ykr when three letters picked without replacement from {y: 8, r: 5, k: 3}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: -10 + 4 + 29 + -7 + 1 + (-120 - -104)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (n*n*n**(5\/6)\/n*n*(n*n**(1\/5))\/n)\/(n\/n**2)**(-2\/7) assuming n is positive.\nAnswer: n**(577\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Round 27170.50211 to the nearest 100.\nAnswer: 27200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 2920 + -2861. Calculate the remainder when 580 is divided by t.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1247490.\nAnswer: 2, 3, 5, 83, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 15344 - 763. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -3, 1, -1, 0 in descending order.\nAnswer: 1, 0, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 23.3 - 23.1. Let i be ((-2)\/(-5))\/((-63)\/35). Which is the nearest to 0.1?  (a) i  (b) v  (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-249)\/(-156)*1 + 0. Let i = -24\/13 + p. Suppose m = -45*m - 14*m. Which is smaller: m or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 56 is divided by 8.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let q(v) = -6*v**3 - 18*v + 81. Let u(x) = -4*x**3 - 13*x + 58. Let t(w) = 5*q(w) - 7*u(w). Let l(c) = 2*c**3 - c + 1. What is -6*l(d) - 7*t(d)?\nAnswer: 2*d**3 - d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let n(g) be the third derivative of 0*g**5 + 0*g**3 + 0*g - 33*g**2 + 0 + 1\/12*g**4 - 19\/120*g**6. What is the second derivative of n(u) wrt u?\nAnswer: -114*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(x) = 497*x**2 - 349. Let w(r) = r. Determine w(q(s)).\nAnswer: 497*s**2 - 349","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-5 + -18 + 13 - -48) + 5.\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {o: 5, b: 11}. What is prob of sequence oo?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let w be -2*(-4)\/16*-2. Calculate the common denominator of -3 - (213\/18 + w) and ((-3)\/(-16))\/((-2)\/4).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(h) = -2*h**2. Let l(y) = 8*y - 5 + 1133*y**2 + 5 - 1125*y**2. What is l(m(d))?\nAnswer: 32*d**4 - 16*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 19118759 and 11899.\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Find p, given that -p**3\/2 - 281*p**2 + 5711*p\/2 - 2574 = 0.\nAnswer: -572, 1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 242535?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let c(p) = -151401*p + 9298. Is c(-9) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(k) = k**2 + 8*k + 7. Let z be y(-11). Let u be 4\/(-8) - 33\/(-6). What is the highest common factor of u and z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 41083?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {c: 2, f: 5}. Give prob of picking 2 f.\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 526 (base 14) in base 6?\nAnswer: 4410","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4*(((0 + sqrt(1377))*-5 - -5*((sqrt(1377) - (1 + sqrt(1377) - sqrt(1377))) + sqrt(1377))) + (0 + sqrt(1377) + sqrt(1377)*1)*-2))**2.\nAnswer: -1440*sqrt(17) + 22432","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose c - 38 = 5*d, -8*c + d + 262 = -3*c. What is the remainder when c is divided by 122\/14 + 90\/315?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 127*l - 750 = 112*l. Let w = 877 - 881. Which is the closest to -1?  (a) -6\/5  (b) w  (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from jyfmjmyfjyfjfm. Give prob of sequence jf.\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -335  (b) -0.4  (c) 3  (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Convert -a8cb58 (base 13) to base 14.\nAnswer: -754990","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 32 + -18. Suppose h - 3 = o - z, 0 = 5*o + z - 37. Is 8 >= o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 3*v + 3*v**2 - 6 + 5 + 0 in the form q*v + z*v**2 + a and give q.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -43 - 2*d**2 + 24 + 17 - 19*d - 3*d to the form w*d + x + a*d**2 and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 3 in 0.1, -1, 7778, -3, -2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 3 - (3 - (5 - -1236)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {k: 2, m: 5, v: 2}. Give prob of sequence kk.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5155 = 6*i - 19219. Suppose -1148 = -18*u + 16*u + 5*k, 4*u = -2*k + i. What is the hundreds digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: -8 - (0 + 1 + -12 + (-21 - -25) + 7)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o(j) = -j**2 - 3*j + 2. Let p be (3\/(-1))\/(3 - 2). Let h be o(p). Solve 4*z - 3*y + h = 0, -6 = -0*y + 3*y for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 0 + -101111?\nAnswer: -101111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: 43939109 divided by 2\nAnswer: 43939109\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*k + 10 = r, -2*k + 10 + 13 = 5*r. Solve -r*h - 23 = -3 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 - 21 - 9)*(3*a - a - 3*a)*(-7*a - 118 + 118).\nAnswer: -210*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(180)\/(sqrt(12)\/sqrt(2)))\/sqrt(10) + ((sqrt(525) - sqrt(525)*-2) + sqrt(21))\/sqrt(7).\nAnswer: 17*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 14 - 11. Suppose -2*h = 0, -2*v + 4 = -n*h - 4. What is the units digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 55960 is divided by 123?\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*o - 0 + 20. Solve 0 = -3*u + 4*p - 5, o*u + 4*p - 3*p + 16 = 0 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*i + 3*i = -15, 3*j = 2*i + 15. Is j + 3 + -9 + 127 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: -32 - ((2 - -3 - 10) + -5)\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 237300.\nAnswer: 2, 3, 5, 7, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -6*k + 1041042 - 1041060 - 3*k.\nAnswer: -9*k - 18","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Round -2320.059577 to zero dps.\nAnswer: -2320","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let k(g) = 4 - 8 - 3*g**3 - 5*g**2 - 4*g + 3*g**2 - 4*g**2. Let x be k(-2). What is the nearest to 0.1 in 0.1, x, 2\/3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(s) = -s - 53. Let k be o(0). Let x = k + 157\/3. Let j(f) = -f**3 + f**2. Let a be j(1). Which is greater: x or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 4 + -3. Let q = 6 - j. Calculate the least common multiple of q and 9.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -26 = -5*k - 86. Suppose -7 = 3*t - 5*r - 0, -t - r = 5. Calculate the remainder when (53 + -2)*t\/k is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*s - 3*s = f + 7, 2*s - 21 = 3*f. Let q be -1*((-19)\/7 - (-2)\/f). Solve -4*a = 3*h - q - 6, 2*h - 6 = -5*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(v) = v + 16. Let r(j) = j**3 + 7*j**2 + 7*j - 5. Let s be r(-6). Let c be u(s). What is the third derivative of q**5 - c*q**5 + 2*q**5 - 4*q**2 wrt q?\nAnswer: -120*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, 12815, -5, -57.\nAnswer: -57, -5, 1, 12815","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -5.8, -1.5, 0.3, -2\/1335, 15?\nAnswer: -2\/1335","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((j*j**(1\/6))\/j)\/j)**44*((j**(-2\/9)\/j)\/j)\/(j*j\/(j\/j**11)*j) assuming j is positive.\nAnswer: j**(-467\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -5*n - 16 + 36*n - 23*n + 92*n**2 + 4*n**3.\nAnswer: 4*n**3 + 92*n**2 + 8*n - 16","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*k - 2*y - 18 = 0, -6 = -4*k + k + 3*y for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let r(b) = 1. Let j(z) = -z**2 - 4. Suppose -2*v + v = -1. Give v*j(q) + 4*r(q).\nAnswer: -q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand 0*w**3 - w**3 - w**3 + (-2*w**2 + 2*w**2 - 2*w**2)*(2*w + 0*w + 3*w).\nAnswer: -12*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -270593, -541248, -811907, -1082570, -1353237, -1623908?\nAnswer: -1894583","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 2.7 + 2.3. Let y be (-3 - -2)*-6*1. Let d be (y\/15)\/(7\/5). What is the biggest value in b, 3, d?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is one fifth of a centimeter in millimeters?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-21)\/(-147) + (145\/280)\/(-1).\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -10*t**3\/3 + 425*t**2\/6 - 2155*t\/6 + 875\/3 = 0 for t.\nAnswer: 1, 25\/4, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 309003807.\nAnswer: 3, 7, 14714467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((j*j*j\/((j*j**(1\/7)*j)\/j*j)*j*j*j)\/j*j**(-5\/3))**(-22)*(j**(2\/21)*j\/((j*j**11\/j)\/j))**(-42) assuming j is positive.\nAnswer: j**(7304\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.2 in -0.1, 2\/3, -1\/9?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is (-7 + 7 - (-1 - 3)) + -13 + -2?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 41*u = 3816 - 3980. Let s(l) = -2*l - 5. Let k be s(-5). Suppose 0 = k*d - 4*c - 6, -9 - 3 = 3*c. Sort 0, u, d in decreasing order.\nAnswer: 0, d, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(k) = -k**3 + 8*k**2 + 3*k - 11. Let j(u) = 7*u - 6*u**2 + 1 - u**2 + u**3 + 1. Let w be j(6). Does 4 divide h(w)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-2 - -5 - -3 - -1) + 0?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -10011 - 0?\nAnswer: -10011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let c(t) = -3*t**3 - 6*t**2 - 14*t - 10. Let w(m) = 8*m**3 + 19*m**2 + 41*m + 30. Let j(g) = 11*c(g) + 4*w(g). What is the hundreds digit of j(10)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(25) + sqrt(25)*-2 + sqrt(25))*5 + sqrt(25))\/(sqrt(125)*-2).\nAnswer: -sqrt(5)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {c: 1, w: 1, v: 4, n: 9}. What is prob of picking 1 v and 1 c?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*c - 190 = -928. Suppose -2*t + c = y, -3*y + 251 = t - 0*t. Is 14 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*w - 0*g + 2*g - 8, 2*g - 10 = -5*w. Let d be 1*(2 - 0) - 0. Let z(k) = -3*k**2 + d*k**2 - k**w. Let x(t) = 4*t**2. Give z(x(c)).\nAnswer: -32*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -329 or -327?\nAnswer: -327","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: -1000010111001010 (base 2) to base 9\nAnswer: -51875","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*z**2 + 2*z**2 + z**2)*(z - 4*z - z + (5 + 1 - 4)*(-3*z + 6*z - 2*z) + (3 - 1 - 1)*(-2*z + z + 0*z)).\nAnswer: -3*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 224 + -192. Calculate the remainder when 191 is divided by h.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 699.\nAnswer: 3, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -2*((-6)\/(-56))\/(2\/(-4))?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose r + 3*r - 24 = -4*f, 4*r = -5*f + 29. Suppose 0 = -27*x + 27 + 135. Let s(t) = -5*t + x*t + r + 4*t + t. Give s(-2).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 40 = 7*q - 3*q. Suppose 4*y + y = q. Suppose -u - 2*i + 1 = -3, -6 = y*i. What is the remainder when 19 is divided by u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of 512.9 and -94.\nAnswer: -48212.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 224 + 88 = 3*f + 4*z, -3*f + 312 = -3*z. Calculate the remainder when f is divided by 27.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -476 + 928. Does 14 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -0.1 at least -2877591?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 0.4648 + -6.4648. Which is the nearest to x?  (a) 3  (b) 0.4  (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*d - 4*z - 40358 = 0, -2*z = 4*d - 20656 - 33140. What are the prime factors of d?\nAnswer: 2, 5, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 2, 477, 1 in decreasing order.\nAnswer: 477, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence zp when two letters picked without replacement from zpprzppprrrrrpr?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 5.38 times 1.2?\nAnswer: 6.456","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 5222183 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 7515221?\nAnswer: 7, 1073603","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 29439 and 99?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 1045569*f**5 + 23*f**2 + 3040846*f - 6 wrt f?\nAnswer: 20911380*f**3 + 46","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 1\/2016 - 6053\/10080. Sort y, 2, 1034 in decreasing order.\nAnswer: 1034, 2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -1.2 + -0.8. Let o = 15.44 + -15.24. Which is the nearest to -1?  (a) -8\/3  (b) o  (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 d and 2 m when three letters picked without replacement from {m: 4, c: 9, n: 2, x: 4, d: 1}?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -12 + 22. Is 3442\/18 - s\/45 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose l - 61 = -6*g + 2*g, 5*l = -3*g + 50. Let b = -1238 + 1358. What is the greatest common factor of g and b?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 22304 and 90569?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 8566 divided by 8714.\nAnswer: 4283\/4357","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5 + sqrt(162) + sqrt(162) + sqrt(162) + (sqrt(162) + sqrt(162) + 2)*4 + sqrt(162) + sqrt(162))**2 + 5.\nAnswer: 3042*sqrt(2) + 27552","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let l(q) = -q**2 - 3*q. Let o(x) = 2*x. Let v(i) = -l(i) - 3*o(i). Let s(k) = -54*k**2 - 91*k + 4. Let w(p) = s(p) + 3*v(p). Factor w(f).\nAnswer: -(f + 2)*(51*f - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let 40*p + 100*p**2 + 13 + 15*p**4 + 98*p**3 - 13 - 28*p**3 = 0. What is p?\nAnswer: -2, -2\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 84274460?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -20837 - -20982 - (125 - -1).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is one fifth of a milligram in micrograms?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -140 and -1068.2?\nAnswer: 928.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-23*v - v - 21*v)*(-115*v + 40*v - 41*v) + (1 - 1 + v)*(0*v + v - 2*v) to the form i*v**2 + j*v + p and give i.\nAnswer: 5219","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of (0 + 1 + -20)*-1?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 26010 and 270?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: 22892*597\nAnswer: 13666524","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is -3 less than -727.738?\nAnswer: -724.738","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 7704 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 0 = 3*g - 3*z - 2343, 3*g + 4*z - 2392 = -84. Suppose -8*m = -g - 1104. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -63440*b**3*i**2*r**3 + 293*b**3 - 49*b**2*r**2 + 2*b*i**2 - r**3 wrt r.\nAnswer: -380640*b**3*i**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let v(m) = -517*m. Let u(g) = -g. Determine u(v(n)).\nAnswer: 517*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 16195?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 28*((-5)\/(-2) - 0).\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 34943?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 35 minutes before 8:39 PM?\nAnswer: 8:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 126\/(-24) + 5 + (-18)\/(-8). Let i = 48 - 47. What is the highest common factor of i and x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does -3347349 = -66946983\/20?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 2350 and 275?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let y(q) = -q**3 + q**2 + q - 1. Suppose -8*j + 16 = -3*j + 2*w, 5 = j + w. Let o(p) = -16 - 8*p**3 + j*p + 9 + 4*p + 5*p**2. Calculate -o(c) + 6*y(c).\nAnswer: 2*c**3 + c**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 2412 to the power of 1\/2, to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -2\/5  (b) 3  (c) 1  (d) -3281\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 116339?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (u*u**(-3))**32\/(u**4)**13 assuming u is positive.\nAnswer: u**(-116)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 368867393?\nAnswer: 37, 331, 30119","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let z be ((-24)\/30)\/(-28*3\/(-30)). What is the nearest to 0 in 0, 5, z, -9.3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1 + (3*(sqrt(133) + 1*sqrt(133) + sqrt(133) + sqrt(133)) + sqrt(133))\/(sqrt(1512)\/sqrt(6)).\nAnswer: 1 + 13*sqrt(19)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 y when two letters picked without replacement from {y: 2, e: 1, q: 2, a: 1, x: 2, h: 1}?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1 = -2*k - 2*q + 3, 4*k - 18 = q. Suppose 17 = -3*u + 4*w, -k*u - 5*w + w = 4. Let n be (20 - 23)\/(-1 + 1\/4). Put 1, n, u in descending order.\nAnswer: n, 1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*p + 4*g = -6*p + 16, -5*g - 60 = -5*p. Calculate the highest common factor of p and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 1\/(5\/(-730)*(0 + 2)). Let d = 73 + z. Which is smaller: d or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 12 = 74*s - 75*s + o, -8*o = -4*s - 76 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:09 PM and 4:34 AM?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Expand -3*t**3 - 6*t**4 + 13*t**4 + 2*t**3 + (14*t**2 - 12*t**2 + 13*t**2)*(4*t + 2*t**2 - 4*t).\nAnswer: 37*t**4 - t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 569976?\nAnswer: 2, 3, 11, 17, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 73 + 126 + 15*l + 1760*l**3 - 212 wrt l.\nAnswer: 10560*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 165892 and 268?\nAnswer: 268","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-2)\/(-10) - (-72)\/15. Calculate the greatest common divisor of z and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3333.\nAnswer: 3, 11, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let y(m) be the third derivative of -5\/6*m**3 - m**2 + 0*m**5 - 1\/42*m**7 + 0 + 0*m + 0*m**4 + 0*m**6. Differentiate y(q) wrt q.\nAnswer: -20*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 18659618?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: 101000000010111011 (base 2) to base 12\nAnswer: 7ab0b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 10339, 20759, 31141, 41485?\nAnswer: 51791","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-4)\/(-14) + (-48)\/(-28). What is the third derivative of -4*p**m + 3*p**2 + 4*p**2 - 2*p**3 + p**3 wrt p?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(q) be the third derivative of -q**5\/60 - 7*q**3\/6 - 2*q**2. Let h be 4\/10 - (-2)\/(-5). Give k(h).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -8 + (-106 - -95) + 2?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -12 - ((-12 - (24 - -4)) + 0)?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l(h) = -h - 13. Let x be l(-14). Suppose 228 = a + 3*a. Calculate the remainder when a is divided by 22\/(x - -1) - -1.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -s - 5 = 13. Let l = 26 + s. Solve -2*p + 4*p + l = 0 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 338844.6 centimeters in millimeters?\nAnswer: 3388446","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w(o) = o**3 - o**2 + 10*o + 4803. Let h be w(0). Suppose 3*b = -16*u + 20*u - 9541, 2*u - h = -5*b. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -m + 18 = -17. Let p = m - 23. Suppose 20*z = p*z + 42400. What is z rounded to the nearest one thousand?\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -26737.8 to the nearest one hundred.\nAnswer: -26700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Put 2, 16, -3, 3, -5, 329890, 4 in increasing order.\nAnswer: -5, -3, 2, 3, 4, 16, 329890","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 0.07  (b) -3\/7  (c) 232\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*z + 2*z + z**3 + (58*z - 21*z**2 - 58*z)*(3*z + 0*z - 2*z) + z**3 - 3 - z**3 + z**3.\nAnswer: -19*z**3 - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let f(u) = 2*u**2 - 10*u + 13. Let l = 9 - -4. Calculate the remainder when l is divided by f(3).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4 = -6*r + 2. What is the common denominator of (-756)\/(-256) - (6\/2)\/r and -109\/14?\nAnswer: 448","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(q) be the first derivative of q**8\/420 + q**6\/72 + 4*q**3\/3 + 2. Let c(a) be the third derivative of b(a). What is the third derivative of c(x) wrt x?\nAnswer: 96*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.5, 0.5, 1656, 5, 1.65, 1\/6 in increasing order.\nAnswer: -0.5, 1\/6, 0.5, 1.65, 5, 1656","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is a4 - 774?\nAnswer: -680","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -29, -61, -93, -125?\n\"Answer: -32*u + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: -0.5 - -746\nAnswer: 745.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -172, -291, -410?\n\"Answer: -119*s - 53","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is c62 - 0?\nAnswer: c62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.2227971mm in nanometers?\nAnswer: 222797.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:28 AM and 6:39 AM?\nAnswer: 191","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -85*f + 128*f - 70*f.\nAnswer: -27*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 39757699 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let r(g) = -g**2 - 142*g - 208. What are the prime factors of r(-45)?\nAnswer: 4157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -8987.8 + 2.\nAnswer: -8985.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Convert 3100 (base 4) to base 7.\nAnswer: 415","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (162\/30 + -5)\/((-1)\/(-10)). Let n be 4\/(1 - 0) - -1. Suppose 0 = -5*t + 2*g + 5 + 74, 5*t + 2*g = 91. Solve -r*a = -n*i, 5*a = 2*i - 0*i + t for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.000010270587551 rounded to seven decimal places?\nAnswer: -0.0000103","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -0.4 - -0.6. Let k = -24895 + 24910. What is the third biggest value in 2\/21, o, k, -0.4?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify x*x**(-1\/5)*x*x*x**4*(x*x**5\/x)\/(((((x\/x**(3\/5))\/x)\/x)\/x)\/x)*((x**(2\/3)*x)\/x)**(2\/17)\/(x**1)**(-1\/42) assuming x is positive.\nAnswer: x**(55343\/3570)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*m + 2 = 5*s, 8*s + 3*m = 9*s - 14. Solve s*y + 6*y + 32 = 0 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-2)\/4)\/((-33)\/(-22)).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: -17934 divided by -42\nAnswer: 427","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 8 - 5. Suppose i = -4*q - 12, -8 = -5*q + 4*i - 2. Is 14 a factor of 84*q\/(-1 - f)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -878787.7298 plus 7?\nAnswer: -878780.7298","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Sort -79769, -1, 3, -2 in increasing order.\nAnswer: -79769, -2, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 596 - 194. Let h = u + -402. Let n = 3073\/15 + -205. Which is smaller: n or h?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -5293*f + 1739*f + 1741*f + 1804*f.\nAnswer: -9*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 78 divided by 315545.\nAnswer: 78\/315545","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (11\/(198\/(-24)))\/(2\/(-6)). Suppose 3*m - 1616 = -2*m + p*f, 2*f + 646 = 2*m. Is 54 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find k, given that -4*k**4\/3 + 278*k**3 + 41554*k**2\/3 - 195512*k - 101184 = 0.\nAnswer: -51, -1\/2, 12, 248","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -2035 - -18338\/9. Let d be 44699\/(-152)*2*-4. Let c = d + -2354. Calculate the common denominator of c and m.\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 s and 1 k when two letters picked without replacement from {k: 2, s: 2, a: 5}.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 0.5 and 1359.8999074?\nAnswer: 1359.3999074","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1 + -39 - (896 + -872) - -10.\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 422002?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 181*k**2 - 595*k**2 - 221*k**2 - 431*k**2.\nAnswer: -1066*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let g(x) = 2*x**2 + 8*x + 2. Let s be g(-4). List the prime factors of s - (4 + -30 + 1).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 29461 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*t - 7 = 19. Let g = 17 + t. Suppose n = 3, -4*v = -g*n - 80 - 108. Is 10 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, -112\/9, -0.2, 2\/15, -0.1.\nAnswer: -112\/9, -3, -0.2, -0.1, 2\/15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 0 + 2. Suppose 0 = -4*s - d + 10. What is the closest to 2\/7 in s, 3\/7, 0.5?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(o) = -8*o. Let q(v) = -117*v + 10. Let p(c) = 479*c - 45. Let t(r) = -2*p(r) - 9*q(r). Determine -35*f(g) - 3*t(g).\nAnswer: -5*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 107820640 is divided by 231.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 1450, -2\/3, 9?\nAnswer: 1450","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.12, 13.9, 5\/2, 4, 5.\nAnswer: -0.12, 5\/2, 4, 5, 13.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (o*o**(-1\/11))**(-49)\/((o**(2\/19)*o)\/(o*o**(-1\/13))) assuming o is positive.\nAnswer: o**(-121525\/2717)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*y + 4 = 4*t + 3, 2*y = -t + 9. Calculate the least common multiple of y and 1.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 251 is divided by 18.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -5.52129 - -5.52128718351. What is a rounded to 7 decimal places?\nAnswer: -0.0000028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 505 is divided by 131?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (4\/(-10))\/(22\/(-55))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 6863763?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let o(x) = x**3 - x. Suppose -5*h + 5*f + 30 = 0, h = 3*h + 3*f - 27. Let r = h + -8. Let p be o(r). Which is the biggest value?  (a) p  (b) 4  (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6*v = 83*v - 1157 for v.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence jh when two letters picked without replacement from jjhjjjjjjjjjj?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2505156 is divided by 501025?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 7\/6 of a day in minutes?\nAnswer: 1680","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n(j) = 14*j**2 + 13*j - 95. What are the prime factors of n(-17)?\nAnswer: 2, 5, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -8*u + 19*u - 14*u - 224*u**3 - 48*u**3 in the form n*u**2 + m + t*u + q*u**3 and give t.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -10, 1\/3, 1\/2, 6\/7?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: -8371 (base 10) to base 12\nAnswer: -4a17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: 7 (base 11) to base 12\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s(x) = 3*x**2. Suppose 18*h - 21*h = -9. Suppose 5*n + 4*y = -20, -20 = -0*n - n + 4*y. Let f(q) = 3*q - h*q + n*q - 9*q. What is s(f(j))?\nAnswer: 243*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*b**5 + 0*b**4 + 0*b**4 + (8 - 19 - 23)*(191*b - 191*b - 2*b**5 - 77*b**2).\nAnswer: 66*b**5 + 2618*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 13646802 and 234?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1?  (a) 5  (b) 4  (c) 79\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 5542 and 11.\nAnswer: 60962","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -3630 + 3?\nAnswer: -3626","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -2\/7 in -5\/2, -10.8, -1.2, -1\/4, 39?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 3775 rounded to the nearest 1000?\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 5181*z**4 - z - 10364*z**4 + 5211*z**4 + 1609 wrt z.\nAnswer: 112*z**3 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4990463 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is -34304 (base 5) in base 2?\nAnswer: -100110010110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a be ((-2530)\/1518)\/(14\/6 + -2). Let o(x) = x - 6. Let r be o(10). Put r, 8, a in increasing order.\nAnswer: a, r, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: 278905640 divided by -10\nAnswer: -27890564","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 45281 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve -36 = -7*q - 2*q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 303163?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*s = -m + 1422, -5*m - 3*s = -0*s - 6995. Is 18 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5*-1*(sqrt(152) - -2*sqrt(152))*2)\/(sqrt(48)\/(sqrt(42)\/(-3*sqrt(7)))*-5).\nAnswer: 2*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 36*t + 2 = 34*t. Which is smaller: t or -10\/571?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(k) = 2*k + 15. Let u = -87 + 76. What is l(u)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 13?  (a) -3  (b) -0.52  (c) -4  (d) -1.5  (e) 1\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 2\/11, 1\/5, -1, -133, -0.5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (7\/(-56))\/(1\/(-8)). Solve -4*d = o - 10, -2*o = d - 0 + b for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -0.1033 - 1.8967. Which is the nearest to -2\/5?  (a) 1  (b) 0.06  (c) -1  (d) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many kilograms are there in 806.0666 tonnes?\nAnswer: 806066.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 6 - 0. Let x be c*3 + -4 + 0. Let h(t) = 7*t**2 - 3*t - 2. Let l be h(4). Calculate the greatest common divisor of l and x.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 1\/(1\/(-14)*-7). Suppose -r*x = -63 - 243. What is the highest common divisor of x and 85?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(g) = 1. Let m(c) = 2*c + 3. Let v(h) = -3*h - 3. Let a(z) = -4*m(z) - 3*v(z). Calculate -a(f) - 2*t(f).\nAnswer: -f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -0.1 or 32101?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: 0 + -20 + (11 - -1)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 2047 - 807. Round l to the nearest one thousand.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(y) = 190*y**5 - 8*y**4 + 105*y**2 + 7*y. Let q(r) = 2*r**4 + r**2 - 2*r. Let c(p) = -n(p) - 4*q(p). Find the third derivative of c(z) wrt z.\nAnswer: -11400*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4 + (-4 + (-3*(sqrt(832) + 0) - (sqrt(832) - (-5 + sqrt(832) + -4))) + -4)**2.\nAnswer: 816*sqrt(13) + 7781","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 1  (b) -7  (c) -14  (d) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 10367?\nAnswer: 7, 1481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 11\/8 of a century in months?\nAnswer: 1650","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -2.6 + 1.1. Let g = 1.8 + q. Put g, 5, -1\/6 in increasing order.\nAnswer: -1\/6, g, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(f) = 13*f**2 + 32*f + 32. Let w be d(-1). Solve -24 = w*m - 11 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (6 - 14)*(-1)\/2. Suppose j - 1 - 4 = 3*o, -r*j - 12 = 4*o. What is the units digit of (11\/(-2))\/(o\/4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(b) = -220*b**3 - b**2 - 1. Let f be w(-1). Let j = 218 - f. Which is bigger: j or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 173538 and 385?\nAnswer: 66812130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-15*4\/(-42))\/(231924\/295176).\nAnswer: 20\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i(l) = -l**2 + 9*l. Let u be i(9). Suppose u = -14*a - 345343578 + 1209143578. What is a rounded to the nearest one million?\nAnswer: 62000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(102) - (sqrt(102) + (sqrt(102)*1 - sqrt(102))) - sqrt(102))*5)\/(-2*sqrt(6)*-3) + ((sqrt(17) - (sqrt(153) + -2) - (sqrt(17) + -3 + -2)) + 4)**2.\nAnswer: -401*sqrt(17)\/6 + 274","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let c(v) = 4*v - 3*v + 3 + 0 + 4. Let f be c(7). Calculate the greatest common factor of f and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-105)\/1008*(-20)\/75\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o(r) = -r**2 - 12*r + 14. Let m be o(-12). Suppose 2*j + 2 = m. Let g(x) = 7*x**2 - 3 - 3*x**3 + 2*x**3 - 2 + 3 - 5*x. What is g(j)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(d) be the second derivative of d**3\/6 - 7*d**2 - d. Let c(b) = 7*b**2 - 7*b - 8. Let u be c(-1). What is n(u)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-23*h - 3*h - 3*h)*(71 - 4*h - 71)*(-2*h + 2*h - 2*h**2) + (-5 + 5 - 2*h)*(-4*h**2 + 4*h**2 - h**3).\nAnswer: -230*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2939.\nAnswer: 2939","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (2\/8)\/(2\/16). Find p such that -2*p**2 - 3*p + p**5 - f*p**5 + 2*p - 4*p**4 - 2*p**2 - 6*p**3 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of -984, -985, -986, -987?\n\"Answer: -p - 983","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -1 - 2*x + 8*x + 10*x + 5 - 159*x**3 - 31*x wrt x?\nAnswer: -954*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(w) = -295*w**3 + 8*w + 23. What are the prime factors of u(-2)?\nAnswer: 3, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 139463447.\nAnswer: 139463447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 2\/15 + (-6497)\/(-1335). Solve -4*j + 41 = -d*q, 2*q + 2*j - 33 = 7*q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 2369479603?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {k: 1, i: 3, c: 1, l: 1, a: 3, e: 2}. Give prob of sequence alk.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Are -268\/11 and -25 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let q(k) = k**3 - 4*k**2 + 6*k - 6. Let s be q(4). Suppose -5*b = -5*o - 5, 5*o + 2*b - 25 = -3*b. Suppose -o*d = -0 - s. What is the units digit of d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 328 minutes after 1:50 AM?\nAnswer: 7:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*q + 30 = -3*q. Suppose -4*y - 8 = -0*y. Let v = y - q. Solve 6 = v*r - 6 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-1 + 7 - (-3 - (-1 + -4))) + -4?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0000007033311 to seven decimal places.\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve -22*g = 39*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Divide 0 by -104.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.1?  (a) 0.2  (b) 1\/9  (c) -32\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-1256)\/(-30) - 6\/(-45). Let n = x + -27. Does 15 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is seven sixths of a minute in seconds?\nAnswer: 70","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -78 + 117. Suppose 3*o = -4*r + s, 2*r - 13 = -2*o + 7*o. What is the remainder when 16 is divided by r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(f) = 33*f**2 - 4309*f + 2478. Calculate a(130).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: How many centuries are there in 0.0118292 millennia?\nAnswer: 0.118292","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -4733.3 + 5279. Let j = -569 + v. Round j to the nearest integer.\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -2300 by 92.\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Add 1.118910504 and -4.345.\nAnswer: -3.226089496","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let g(k) be the first derivative of k**4 + 4*k**3\/3 - 27*k**2 + 8966*k - 1986. What is the first derivative of g(h) wrt h?\nAnswer: 12*h**2 + 8*h - 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*l = -0*l + 2. Let n be 10*l\/3 - (-3)\/(-9). Let o be -3 + n - 9\/(-3). Solve 4*i + 9 = -o for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*t + 3*t = 3. Let a(u) = -2*u + t - 3. Let i(h) be the first derivative of -h**3 - 2. Give a(i(o)).\nAnswer: 6*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((k**(-1\/3)\/(k\/((k\/(k**(-6)*k))\/k)*k))\/((k**(-5\/4)\/k)\/((k\/(k*k*k**(5\/6)*k))\/k)))**(-32) assuming k is positive.\nAnswer: k**(-104\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Divide 1256 by 552.\nAnswer: 157\/69","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -110 = -3*b + 256. Suppose -4*p + b + 110 = 0. What is the remainder when p is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 276, 532, 772, 996, 1204, 1396, 1572?\n\"Answer: -8*m**2 + 280*m + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 547?\nAnswer: 547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let f(r) = -r**3 - 3*r**2 + 4*r + 2. Let s be f(-4). Let y(h) = 6*h + 3*h + 0*h + s + 2*h. Is y(5) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -82 - -82. Let f be u + (-2)\/(-4) + 109\/14. Which is smaller: f or 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -2773680 divided by 3120?\nAnswer: -889","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 18*s - 15*s - 15 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Put -7, 21757, -6\/5 in descending order.\nAnswer: 21757, -6\/5, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let k(s) = -s + 2. Suppose 5*v = v + 4. Let l = v + -7. Let y(b) = -4*b + 8. Let r(g) = l*y(g) + 22*k(g). Let z(t) = t - 1. Determine -r(c) + 3*z(c).\nAnswer: c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 281913 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 21.4616 rounded to zero dps?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 r and 1 i when three letters picked without replacement from {u: 1, r: 2, c: 1, i: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve -47*o + 42*o + 5 = -3*f, -f + 5*o - 5 = 0 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 53 - 14498?\nAnswer: -14445","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence pppp when four letters picked without replacement from gpppgppgggpgpg.\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-63)\/(-27)*(0 - 1\/(-2)). Let g(o) be the third derivative of 0 + o**2 - p*o**3 + 1\/60*o**5 - 1\/8*o**4 + 0*o. What is g(5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, -1, 4, -24 in descending order.\nAnswer: 4, 0, -1, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Find p such that 2*p**4 - 4*p**3 - 42*p**2 - 36*p = 0.\nAnswer: -3, -1, 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is -17.62979941 rounded to 3 dps?\nAnswer: -17.63","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -377893\/8 or -47237?\nAnswer: -377893\/8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let n(f) = -f**2 + 7*f + 1. Let t be n(6). Suppose 4*q - z = t, -3*q = -0*z + z - 7. Solve q*a + 15 = 7*a for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -1001110011110010 - -10100101?\nAnswer: -1001110001001101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Put -4\/179, 26, -24 in ascending order.\nAnswer: -24, -4\/179, 26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -2\/5?  (a) -2\/3  (b) -14\/71  (c) -4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: 1.125+-8911422.06\nAnswer: -8911420.935","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 106886 to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*l - 4*i = 620, 61*i - 59*i = 4*l - 618. List the prime factors of l.\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(s) = s - 684. Let q(c) = -c + 4. Determine -3*q(h) - z(h).\nAnswer: 2*h + 672","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4*u - 454006 + 908026 - 454020.\nAnswer: 4*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let -2*g**3\/7 - 122*g**2\/7 + 29444*g\/7 - 357760\/7 = 0. Calculate g.\nAnswer: -160, 13, 86","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 101, 100, 91, 68, 25?\n\"Answer: -u**3 + 2*u**2 + 100","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 100110010111001101 - 101?\nAnswer: 100110010111001000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -73*p + 150*p = 78*p - 46679. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*t = 5*j + 55, 5*j - 3*t = 77 - 132 for j.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 348 - 83 - 23*c**3 + 96*c**3 - 72 - 193.\nAnswer: 73*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let j(w) = w**3 - 2*w**2 - 2*w - 3. Let t be j(3). Suppose t = -2*y - 13 + 367. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(g) = 2*g + 8. Let y(d) = d + 3. Let q(n) = 3*j(n) - 8*y(n). Let i(v) = 24*v**2. Calculate i(q(k)).\nAnswer: 96*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*s - 228 = 2*s. What is the tens digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(a) = 2*a - 68 + 49 - 1. Let s(i) = -1. Determine -d(h) - 6*s(h).\nAnswer: -2*h + 26","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-28)\/6)\/(-10*8\/60)?\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -197\/10 - -41\/2. Sort 2\/5, a, 0.1 in ascending order.\nAnswer: 0.1, 2\/5, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 11 - -1. Let v be (-2 + 0)\/(-4 + 3). Is 632 - v*j\/(-8) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 r when three letters picked without replacement from rrpoopbrbro?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: -1366 divided by 1613\nAnswer: -1366\/1613","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 4532 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-4*x**2 - 7 + 7)*(4*x - 5*x + 3*x) - 5*x**3 + 3*x**3 - 3*x**3 to the form p*x**3 + m + c*x**2 + q*x and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 85 is divided by 21.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-2)\/(-3)*(114 + -6)\/6. Suppose 0 = 3*x - 7*x + 64. Suppose 4*t - x = -0*t + 3*h, -y = -3*t - h. What is the units digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 159 and 212.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 0.111 + -0.611. What is the closest to 2\/5 in -5, 1\/65, t?\nAnswer: 1\/65","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -2\/7, 3, 0.02, -3\/2 in increasing order.\nAnswer: -3\/2, -2\/7, 0.02, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 7663635?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 5\/7  (b) -2.5  (c) 4938\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-48)\/(-20) + -2 + (-18)\/20. Sort y, 0, 1\/2.\nAnswer: y, 0, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -846 divided by -57980?\nAnswer: 423\/28990","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let k(z) = 8 + 53*z - 189*z - 94*z + 9. Let r(h) = 2*h - 8. Let s be r(2). Is k(s) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(a) be the third derivative of 11*a**5\/60 - a**4\/3 - 2*a**3 - 51*a**2 - 3. Let w(o) = -4*o**2 + 3*o + 4. Give 3*f(d) + 8*w(d).\nAnswer: d**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -113\/20 and -15\/97588.\nAnswer: 487940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1374560\/3 or 458188?\nAnswer: 1374560\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let m(g) = -18*g + 132. What is m(8)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 s and 2 c when four letters picked without replacement from {s: 4, c: 3}.\nAnswer: 18\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 21, 159, 309, 477, 669, 891, 1149, 1449?\nAnswer: 1797","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 146422523.\nAnswer: 13, 1949, 5779","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 334 less than 333?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -4, 23, 4, 0.01?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 952230663 a multiple of 49?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let w(x) be the second derivative of 53*x**6\/15 + x**5\/20 - 253*x**2 - 22*x - 17. Differentiate w(j) wrt j.\nAnswer: 424*j**3 + 3*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3 - 73*t**2 - 57*t**2 + 84*t**2 + 16*t**2.\nAnswer: -30*t**2 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 3090 - 3088. Suppose 3*v - 25 = 17. Solve -h*y + 4*q = -v, 2*y - 2*q - 19 = 3*q for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -d + 255?\nAnswer: 247","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -355666 - 2?\nAnswer: -355668","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 812536187.\nAnswer: 149, 239, 22817","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1156?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 22915525.\nAnswer: 5, 916621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -28 - -40. Let v be 0*(15\/y)\/5. Which is the closest to v?  (a) 1\/4  (b) -1.3  (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1008319 is divided by 2164.\nAnswer: 2059","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is (((-3)\/2)\/((-1420)\/1136))\/(4\/(-10))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2 + sqrt(147)*1)*-3 + -5.\nAnswer: -21*sqrt(3) - 11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let t(x) be the second derivative of x**4\/24 - x**3\/4 + 7*x. Determine a so that t(a) = 0.\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((g**(-3\/29)*g*g\/(g*(g*g**(9\/7))\/g*g*g*g))**(12\/11))**(2\/7) assuming g is positive.\nAnswer: g**(-16512\/15631)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*g + 20 = -4. Let t be (-1)\/g + 12\/16. Solve 5*u + t = -4 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (y*((y*y*y**(-2\/7)*y)\/y)\/y)\/y*y**(8\/7) assuming y is positive.\nAnswer: y**(13\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -137\/294 and 16\/147.\nAnswer: 294","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2 + sqrt(112) + sqrt(112)*1)**2 + (sqrt(112) + 1)*-4 - -2*(sqrt(112) - (-5 + -2 + sqrt(112))).\nAnswer: 16*sqrt(7) + 462","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -15 = -2*g - 3*g. Suppose -5*j + 12 = -g. Suppose 0 = j*m - 2*m - 20. What is the tens digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 604*a**2 - 5 + 3 + 23*a**2.\nAnswer: 627*a**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -2198948.2872 + 2199047.28719937. Let o = i + -99. What is o rounded to 7 decimal places?\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(s) = -4*s - 2*s + 2*s + 3*s + 3*s. Let q(l) = 52*l**2 - l - 1. Let a(g) = -g**2 - g - 1. Let i(z) = a(z) - q(z). Give i(u(o)).\nAnswer: -212*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 8*i - 11*i + 303. What is the units digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2 a factor of 34692?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 746 - 742. What is the third derivative of -2*l**y + 2*l**4 + 0*l**4 - 97*l**2 + 85*l**6 + 90*l**2 + 5*l wrt l?\nAnswer: 10200*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*n + 3*q - 71 = -49, 2*q + 17 = 3*n for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 11674 - 11670. Let i(r) be the first derivative of -r**4\/8 - 2*r**3\/3 - r**2 + 2. Let x(u) be the second derivative of i(u). Determine x(p).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 16 and 98217592.\nAnswer: 196435184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let v(n) = -n**3 + 2*n**2 + 4*n - 6. Let i be v(2). Suppose 2 = i*g - 16. Suppose -4*y = -g*y + 470. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2553181877 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Put 2, 27, -2\/7, -70 in descending order.\nAnswer: 27, 2, -2\/7, -70","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let z(n) be the third derivative of n**5\/60 + n**4\/24 - n**3\/2 + 3*n**2. Let s be z(-3). Solve -s*b = -7*b + 20 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 170342, 340673, 511004, 681335, 851666, 1021997?\n\"Answer: 170331*w + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: 135133430 (base 6) to base 10\nAnswer: 2765178","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n(o) = -13*o - 12. Calculate n(-9).\nAnswer: 105","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Find y, given that 3*y**3\/5 - 36*y**2\/5 - 1728*y\/5 - 6144\/5 = 0.\nAnswer: -16, -4, 32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -26 - 677?\nAnswer: -6a0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 43246.\nAnswer: 2, 7, 3089","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*g - 16 = -4*g. Suppose -5*l = 3*p + 7, 4*l = 5*l - 4. Let u = p - -27. Solve -6 + u = -g*m for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify w**3\/((w*w**7*w)\/w)*w*w\/(w*w*w\/((w*w**(-1\/2))\/w))*w**(1\/9)\/w*((w**(-2\/5)\/w)**18)**(-14) assuming w is positive.\nAnswer: w**(31087\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 3.4 - 1.4. Let a = 0 - 0.1. What is the closest to 1 in a, 0.2, j?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-105)\/162 - (-10)\/15. Let s(w) be the second derivative of 0*w**2 - n*w**4 - 1\/90*w**5 + 0 + 0*w**3 - w. Factor s(b).\nAnswer: -2*b**2*(b + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 9, 1, 1160, -3, 6\/7, -1.3 in descending order.\nAnswer: 1160, 9, 1, 6\/7, -1.3, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 + 18 + 2)*(-5 + 2 + 2)*(-g**2 + 25*g**3 - 7*g**2 - 29*g**3).\nAnswer: 72*g**3 + 144*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Find q such that -5*q**3 - 16595*q**2 - 363275*q - 1994685 = 0.\nAnswer: -3297, -11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.2 in -2\/21, -32\/5, 3, 0.4, -5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -12 - -1112012002211?\nAnswer: 1112012002122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let d(b) = -47*b**3 + 8*b**2 + 4. Let m(v) = -48*v**3 + 8*v**2 + 3. Let o(g) = 3*d(g) - 4*m(g). Find the third derivative of o(j) wrt j.\nAnswer: 306","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(l) be the first derivative of l**4\/4 - l**3\/3 + l**2\/2 + 9*l + 43. What is the remainder when (3\/(-2))\/((-2)\/76) is divided by z(3)?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 15 - 10. Let i = 444 + -7546\/17. Let a = -2.3922 + -4.6078. What is the closest to a in b, -1\/4, i?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 390*r + 20 - 1821 = 45 + 494 for r.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3*(sqrt(700)*1 + sqrt(700) + sqrt(700)) + (sqrt(700) + 4 + sqrt(700) + 2)**2)*3.\nAnswer: 450*sqrt(7) + 8508","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4411 = 5*r + 5*j - 6419, -r + 5*j + 2136 = 0. What are the prime factors of r?\nAnswer: 2161","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when (-83919)\/(-363) + (-2)\/11 is divided by 219.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -42  (b) -40\/7  (c) 13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let k(w) = 14*w**2 - 828*w - 96. Is k(64) a multiple of 76?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -103429, -206825, -310221?\n\"Answer: -103396*r - 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(1008) + (sqrt(1008) - 1*(-1*sqrt(1008))**2) + sqrt(1008) - (2 + 2 + sqrt(1008)))*-3 + -3.\nAnswer: -72*sqrt(7) + 3033","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: 2268846 divided by -6\nAnswer: -378141","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 0.141 + -0.140911. Round p to five decimal places.\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*c**2 + 108*c - 1458.\nAnswer: -2*(c - 27)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: 321792 divided by -107264\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 2669789681 - -156065?\nAnswer: 2669945746","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 17 a factor of 646?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*m - 11 = -5. Is ((-24)\/48)\/((m\/(-24))\/1) even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -29, -106, -233, -410, -637?\nAnswer: -914","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 3*17\/34*4\/(-2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-5492)\/(-12)*-1*3123. Let x = -607022 + -1153685. Let y = x + j. What is y rounded to the nearest 100000?\nAnswer: -3200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose z = n, -4*n - 5*z = -0*n + 9. What is the units digit of n\/((5\/9)\/(-5))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be -2 - 2 - (33 - 47). Solve -h*y = -6*y + 16 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 23*h + 304 = 27*h. What is the remainder when h is divided by 49?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (4 - 18\/3)\/(3 + -1). Is 2\/69 bigger than l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(q) = -5*q**2 + q + 4. Let l(f) = 9*f**2 - 3*f - 9. Determine -3*l(u) - 7*o(u).\nAnswer: 8*u**2 + 2*u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from rfpypjhr. Give prob of sequence rpf.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*k = -5*t - 2798, 2*t - 44*k + 41*k + 1123 = 0. Let j = 961 + t. What is the units digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (5\/(-28))\/(695\/834*3\/(-2)*2)?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f(t) = 3*t**2 + 18*t + 31. Let l(w) = 24*w**2 + 144*w + 249. Let m(v) = -33*f(v) + 4*l(v). Suppose m(i) = 0. Calculate i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 98?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence tdm when three letters picked without replacement from dtmmtdmt.\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 3413 to the power of 1\/5, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 1372d + -8b?\nAnswer: 136a2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*m + 6*m = 8. Let k(b) = 1 + 2*b**m + 5 - 1 + 7*b. Calculate k(-4).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-56643)\/(-1673) + 1\/7 + 1. Solve v = -14*p - 35 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 5157696919 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 688 minutes after 8:21 PM?\nAnswer: 7:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*d - 2*d - 18*d - 75 = -7*d + a, -2*a - 10 = 0 for d.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*f + 2723 = -l - 16087, 14118 = 3*f + l. Is f a multiple of 84?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*n = 3*n - 2*c + 32, -4*n - c + 156 = 0. Suppose -6*p = -11*p - 3*r + n, -2*p + 4*r = -16. What is the least common multiple of p and 50?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is e0 + 7dc0?\nAnswer: 7ea0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is d in -39*d + 108 - 1\/12*d**3 + 10\/3*d**2 = 0?\nAnswer: 4, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 94\/154 - 10\/55. Let q(z) be the third derivative of -z**6\/120 + z**5\/20 - z**4\/8 + z**3\/6 - 2*z**2. Let d be q(2). Is s less than or equal to d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -15*b - 3*v - 579 = 0, 354 = -9*b + 837*v - 841*v for b.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let u(s) = -s + 5. Let d(g) = -7*g + 50. Let j(i) = d(i) - 4*u(i). Calculate j(12).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(j) = j**2 + 510*j + 36121. Give d(-85).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let c(s) = s**2 - 5. Let l(i) = -20 + 14 + 8. Let z(w) = -2*c(w) - 5*l(w). Let a(g) = 2*g. Give z(a(f)).\nAnswer: -8*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let v(c) = -c + 12. Let n be v(8). Suppose -4*m + 5*m - n = 0. Find the third derivative of -6*a**4 - 5*a**4 - 5*a**4 + m*a**4 - 4*a**2 wrt a.\nAnswer: -288*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 2 or -1\/141?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 54548?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -1 + 21021220000?\nAnswer: 21021212222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -152, -280, -422, -584, -772, -992?\nAnswer: -1250","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 5*o + 6*o - o - 8*o.\nAnswer: 2*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2929065?\nAnswer: 3, 5, 195271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-8)\/(-18))\/(((-114)\/266)\/(2538\/(-28)))?\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 2 + -9 + 64 + (-10 - -29) + -12?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -22.7 times -0.4?\nAnswer: 9.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*v**2 - 44800*v - 179264.\nAnswer: 4*(v - 11204)*(v + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -31 - m + 113 - 9*m**2 + 800.\nAnswer: -9*m**2 - m + 882","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 5  (b) 105  (c) -0.4  (d) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 244 and 10126.\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 443 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -356 - -362. Suppose -j = 3*i - 3, 12 = 6*j - 2*j. Solve p - v*p + 15 = i for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 0.1  (b) 144  (c) 5628  (d) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 157*c**3*t**3 + 8*c**3*t + 7*c*t**3 + 21*c*t wrt t.\nAnswer: 942*c**3*t + 42*c*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*t - 2 + 25 = -5*x, -5*t + x = -31. Suppose -5*f = -0*f - 10. Calculate the greatest common factor of t and f.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 10 is divided by 3 + -4 - 5\/(-1).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -14, -11, -1, 4.\nAnswer: -14, -11, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 54 and 16.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let g(x) = 48*x - 456. Let a be g(12). Suppose 3*k - y - 19 = 30, 4*k - 68 = 2*y. Calculate the highest common divisor of a and k.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5*(1 + ((sqrt(147) - (sqrt(147)*-2 + -3))*-1)**2).\nAnswer: 630*sqrt(3) + 6665","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -3 + -d0aa0?\nAnswer: -d0aa3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -309649, -619297, -928945, -1238593, -1548241?\n\"Answer: -309648*n - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -24 + 13. Let v = 75 - y. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -400, -1258, -2674, -4654, -7204?\n\"Answer: -b**3 - 273*b**2 - 32*b - 94","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -d = 4 - 0, j = -d + 10. Let a(c) = -3*c + 5 + 5*c - 26*c + 10*c + c**2. Let t be a(j). Solve t*m = -4*q - 29, 3*m - 2*q + 21 - 8 = 0 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (0 - 2\/(-1))*(-5 + 67). Suppose -7*f - d = -11*f. Suppose i = -4*y + 508 - f, 0 = 5*y - i - 594. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.1213 to two decimal places.\nAnswer: -0.12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Put -12, -20, -3, 2, 4, 10, -4 in decreasing order.\nAnswer: 10, 4, 2, -3, -4, -12, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-3*sqrt(891) + -1)*-6)**2.\nAnswer: 1944*sqrt(11) + 288720","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 45 + -43. Suppose u = 2*f + 24, 5*u + t*f = -0*f + 168. Is u\/6 + -5 + 316\/6 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 40\/21 and 55\/648?\nAnswer: 4536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Express (-2*u + 4*u - 4*u)*(0*u - 2*u + 9*u)*(-5 - 13 + 7) as k + t*u + a*u**2 and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 f, 1 i, and 1 b when three letters picked without replacement from {b: 2, x: 1, f: 1, m: 1, i: 2}?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 12260 and 1226.\nAnswer: 12260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 11\/((-308)\/5614)*13*-2?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (75\/4)\/(258\/33368). Is 2424 <= q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -247.57522 - -0.14522. What is j rounded to the nearest integer?\nAnswer: -247","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 0 or -3345?\nAnswer: -3345","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let d(h) = -h**3 + 4*h**2 + 7*h + 7. Let i be d(6). Let s = i + 34. What is the units digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.5786 to two dps.\nAnswer: -0.58","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -0.016 - -51.016. Does b = -0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*w**4\/9 - 770*w**3\/9 + 258*w**2 - 2326*w\/9 + 776\/9.\nAnswer: -2*(w - 1)**3*(w + 388)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 526457 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*a = -2*a - 4*s - 76, 0 = -4*a + 5*s + 140. Suppose -2*l + a = 20. Let v = l - 2. Solve -j = v - 4 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (2\/(-136))\/(20\/290). Let b = i + 3\/34. What is the nearest to -1 in b, -1\/5, 0?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -4 - -7. Suppose 0 = y*x + x - 4*i - 48, -42 = -4*x + i. List the prime factors of x.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 509929700 to the power of 1\/4, to the nearest integer?\nAnswer: 150","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*i = -4*h + 3802, -6*h + 10*h - 4*i - 3792 = 0. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -14*x - 2433 = -29355. What is the hundreds digit of x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 27109857979 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ve when two letters picked without replacement from {i: 2, v: 1, f: 2, e: 2, a: 4, o: 1}?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1 in -2\/31, -1941672, 1?\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is -52 (base 16) in base 11?\nAnswer: -75","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 3350215743?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.2?  (a) -7  (b) -1\/259  (c) -1\/5  (d) 3\/4  (e) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 170*q + 9*q**2 + 179*q - 349*q.\nAnswer: 9*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 581, 630, 679?\nAnswer: 728","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 8605.\nAnswer: 5, 1721","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2602759751.\nAnswer: 1409, 1847239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: ((-205)\/65 + 3)*1\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*f = -3*f - 20. Let h(m) be the second derivative of 1\/3*m**4 - m**3 + 0 + 3\/2*m**2 - 19*m. Let u(n) = -3*n**2 + 4*n - 2. Determine f*h(k) + 7*u(k).\nAnswer: -k**2 - 2*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Factor j**2 - 7368820*j + 13574877048100.\nAnswer: (j - 3684410)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 6\/((-18)\/(-9) - 72\/33). What are the prime factors of (-75)\/10*5126\/d?\nAnswer: 5, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 175261241 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let f(d) = d**2. Let t be 1*8*(-3 - -4). Let r(b) = -t*b**2 - 13 - 2*b**2 + 13. What is r(f(v))?\nAnswer: -10*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -55 + 58.9. Round d to the nearest integer.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0 + -4 + -18 + 24 - 5.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -752*m**4\/11 + 314326*m**3\/11 - 622236*m**2\/11 + 27682*m + 4160\/11 = 0.\nAnswer: -5\/376, 1, 416","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 197, 385, 573, 761, 949?\nAnswer: 1137","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 11705?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-3)\/((-18)\/4)*(-1391 + -1). What is the units digit of (-3)\/(0 - -6)*o\/8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in 0.3, 5, 2, 4843, -1\/2?\nAnswer: 4843","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 51133530?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -o - 2*s = -2*o - 4, 4*o = 4*s - 8. Suppose -4*u - 4*q = -48, o*u - 2*q = -4*u + 36. Factor -2*l + 7*l**3 - 4*l**2 + 3*l**5 + 0*l + u*l**4 - 2*l.\nAnswer: l*(l + 1)**2*(l + 2)*(3*l - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 10919.\nAnswer: 61, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let f(b) = -5*b**2 + 2*b + 2. Let h(o) = o + 1. Let g(n) = -n**2 - n - 1. Let q(s) = -g(s) - h(s). Let y(z) = f(z) + 4*q(z). Calculate y(-2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1924\/(-8112) - 24\/(-288)?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 34\/5 of a meter in millimeters?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 7742 is divided by 623?\nAnswer: 266","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, -65, -0.3, 1\/2, -1 in descending order.\nAnswer: 5, 1\/2, -0.3, -1, -65","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Determine g so that g**5\/2 - 28*g**4 + 1081*g**3\/2 - 3915*g**2 + 6318*g - 2916 = 0.\nAnswer: 1, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -148\/3 + 50. Let y = -74 + 52. Let h = y - -24. What is the nearest to k in -0.4, h, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -514260 rounded to the nearest one hundred thousand?\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 6854372 is divided by 736.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Convert 312.1651l to millilitres.\nAnswer: 312165.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -122881 - -122883. Suppose 4*l + 2\/11*l**h + 42\/11 = 0. Calculate l.\nAnswer: -21, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-53 - 26 - -36) + -10.\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 4 times -1.67\nAnswer: -6.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 80*w - 81*w - 257*w to i*w + q and give i.\nAnswer: -258","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve 373*l = 13704 - 5873 + 4851 for l.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -3\/29, -53, 8.5, 11?\nAnswer: -3\/29","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let n(p) = p**2 - 14. Calculate n(4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(105)\/sqrt(3)*-2 - sqrt(35))\/(sqrt(180)*2).\nAnswer: -sqrt(7)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let n(o) = 3*o**2 + 6*o + 4. Let b be n(-4). Suppose 2*s = 6*s - b. Let p(d) = 13*d**2 + s*d**2 - 13*d**2. Let w(x) = x. Calculate p(w(q)).\nAnswer: 7*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1347 (base 9) to base 11.\nAnswer: -843","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 50120293.\nAnswer: 50120293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Round -586.66488 to the nearest integer.\nAnswer: -587","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let t(o) = 2*o**2 - 6*o + 5. Let p be t(3). Suppose -i + 2 = -5*l, -i + 7 - p = 0. Suppose -8*h = -l*h - 1768. Is h a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 10327103 and 73909?\nAnswer: 113598133","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2*d + d - d - 2*d - 5 + 5 + (1 - 2*d - 1)*(39 + 25 + 222) + (-6 + 3 + 2)*(-d + d - d) to b*d + f and give b.\nAnswer: -575","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 3316 a factor of 5209436?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let p(u) = -2*u**2 - 19*u - 40. Determine p(-8).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 145, 138, 163, 238, 381, 610, 943?\nAnswer: 1398","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a(s) = s - 1. Let q(g) be the first derivative of -g**2 + 1\/3*g**3 + 3 + 5*g. Determine 3*a(r) + q(r).\nAnswer: r**2 + r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*n + 3 = 11 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let x(t) = -t**3 + t**2 - 1. Let v(h) = -68*h**3 + 85*h**2 - 85. Calculate -v(o) + 85*x(o).\nAnswer: -17*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 39466843.\nAnswer: 13, 17, 107, 1669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is -1 at least as big as 15\/73?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 14 and 91?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let t(w) = -w**3 - 24*w**2 + 25*w + 16. Let x be t(-25). Suppose 5*q + x = 96. What is the remainder when 415 is divided by q?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify m**7*m\/((((m*m*m*m**(-16)\/m*m)\/m)\/m*m)\/m) assuming m is positive.\nAnswer: m**23","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8 + 3 = -f. Suppose 78 = -f*v + 348. Is v a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = g - o - 41, 2*g + 21 = -4*o + 127. Calculate the highest common factor of g and 30.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {e: 8, w: 1, f: 4, m: 2, h: 1}. Give prob of sequence wf.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: 3024 divided by 4\nAnswer: 756","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 680, 917, 1292, 1793, 2408?\n\"Answer: -2*m**3 + 81*m**2 + 8*m + 593","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 322223 + -2241?\nAnswer: 314432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 176738053.\nAnswer: 176738053","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -6 - -11. Suppose -12 = -3*s - 4*n + n, -j*s = -2*n - 41. Suppose -4*g + 3*a = -17, 4*a = 27 - 7. Is g >= s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(h) = 6*h - 3. Let g(l) = 12*l - 5. Let p(m) = 6*g(m) - 11*k(m). Let i be p(-3). Let w be (-1*(-8 + 4)*(-14)\/(-2))\/(-2). Which is smaller: i or w?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be ((-30)\/5)\/(-3) + -424. Let m(i) = -i**2 - 6*i + 16. Let h be m(-7). List the prime factors of d\/(-8) + h\/36.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (2\/3)\/((-2)\/(-9)). Suppose k = 2 - l. Let b(f) = -f - 1. Let p be b(2). Put p, k, 5 in descending order.\nAnswer: 5, k, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-140)\/12 - 2\/(-3). Let t = l - -45. Let i = -24 + t. What is the least common multiple of i and 8?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -196*j**5 - 3*j**4 - 3*j**2 - 148*j.\nAnswer: -11760*j**2 - 72*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.2333 times -0.3091?\nAnswer: -0.07211303","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of (41712\/72)\/((-22)\/(-99)).\nAnswer: 3, 11, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 465180\/135 + (-2)\/(-9). Let f(v) = -v**2 + 3446*v - k*v. Let m(h) = -330*h**2. Determine m(f(j)).\nAnswer: -330*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {z: 5, p: 7, s: 2, r: 4}. What is prob of sequence rrrs?\nAnswer: 1\/1530","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (2\/(-6))\/(16\/4392*9*(-29)\/174)?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 5626, -2, 7, -16?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -155000325*y**2 - 96324*y - 42 wrt y.\nAnswer: -310000650","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -0.02 - 1.98. Let v = x + 5. Let z = 1.68 - -0.32. What is the third smallest value in z, -0.2, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 17 - 15. Suppose -t*w = -8, 5*w - 30 = -k + 13. What are the prime factors of k?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: (3\/(-5))\/(32\/20)\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 6*(1\/(-3) - 36\/(-27)). Let t(y) = -x*y + 20*y - 12*y - 6 - 4. Calculate t(7).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 98678891 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand (434 - 182 - 105)*(8 + 106*y**2 - 31 + 25).\nAnswer: 15582*y**2 + 294","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -9 + 6. Let i = -8.25 + 0.25. Let s = -7.2 - i. Put -2\/11, s, l in descending order.\nAnswer: s, -2\/11, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor v**5\/3 + 20*v**4\/3 + 39*v**3 + 54*v**2.\nAnswer: v**2*(v + 2)*(v + 9)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let f(d) = -2*d - 93*d + 38*d + 64*d. Let q(t) = -6*t**2 + 3 - 3. Determine f(q(s)).\nAnswer: -42*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -1 - -467?\nAnswer: 466","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -123 + 134235?\nAnswer: 134112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 33*d - 6931987 = -10*d. Suppose -54*j - d = -963163. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of -1707, -1717, -1729, -1743, -1759?\n\"Answer: -t**2 - 7*t - 1699","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f(j) = -13*j**3 - 25*j**2 + 15. Suppose 3*g = -0*g + 30. Calculate the least common multiple of f(-3) and g.\nAnswer: 1410","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -12654, -12735, -12902, -13179, -13590, -14159, -14910, -15867?\nAnswer: -17054","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 57 and 3363.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-4)\/(-6) - 4\/(-4704)*-295. Let x = 2\/49 - q. What is the second smallest value in 3, 2\/5, x?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 226*l + 1456 + 1708 for l.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-6*(sqrt(5616)*-2 + sqrt(39) + 1*-2*sqrt(39))\/(1*sqrt(363)*4))**2.\nAnswer: 73125\/484","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*t**3 + 12872*t**2 - 711424*t + 9916032 = 0.\nAnswer: 28, 3162","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 1080073 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:58 AM and 4:04 PM?\nAnswer: 246","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -8*a**4 - 2501748*a**3 - 43045001*a.\nAnswer: -96*a**2 - 15010488*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let v(h) = -735*h. Let d(z) = -23*z. Determine 195*d(j) - 6*v(j).\nAnswer: -75*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1555*o - 1521*o - 1700 = 0 for o.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -20688186*a**3 - 10198402*a + 2 wrt a.\nAnswer: -124129116*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -34*s + 122 = 76 - 90 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {h: 7, o: 2, g: 2}. Give prob of picking 1 h and 2 o.\nAnswer: 7\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let c(z) = -6*z**2 + 75. Let o(p) = 5*p**2 - 60. Let x(j) = 4*c(j) + 5*o(j). Let l(i) = 304*i + 16. Give l(x(w)).\nAnswer: 304*w**2 + 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from pmpaffaapmamfaa. Give prob of sequence aam.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -110 = -5*j - 10. What are the prime factors of j?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -470 bigger than -690?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 16 - 12. What is the units digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 240224417 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -7767, -1615, 4537, 10689, 16841?\nAnswer: 22993","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Round -84917880 to the nearest 1000000.\nAnswer: -85000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let s be ((-16)\/(-36))\/((-6)\/9)*-3. Let a = -2116 + 2117. Put -5, a, -2, s in ascending order.\nAnswer: -5, -2, a, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -750\/151 - -5703\/1057. Determine j so that -75\/7 + 3\/7*j**2 + s*j**3 - 75\/7*j = 0.\nAnswer: -5, -1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*f = o + 2*f + 7, 2*o - 2*f = -14. Let h(n) = -n**3 - 5*n**2 + 14*n + 1. Calculate the smallest common multiple of 4 and h(o).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 5  (b) -123  (c) 2\/3  (d) -0.024\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*b + 2*b - 5*h + 45 = 0, -4*h = -20. Suppose 7*r - 4 = b*r. Suppose -4*o = -3*v - 1319, 0 = v - 1 + r. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 5089534.\nAnswer: 2, 2544767","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 866*p - 176*p + 295*p + 547*p to the form s + u*p and give u.\nAnswer: 1532","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let y(v) = v**2 + 8*v - 1. Let q be y(-8). Let o be (q\/(-1) - -18) + -3. Calculate the highest common factor of 16 and o.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(i) = 23*i**2 - 44*i**2 + 2*i**2 + 20*i**2. Let f(g) = -10809*g. Determine f(y(n)).\nAnswer: -10809*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 2\/9 - (-100)\/36. Suppose -5*b + 4 = -b - 4*o, -s*o = 3*b + 3. Suppose b*k - 12 = 3*k. Put 1, k, -2 in decreasing order.\nAnswer: 1, -2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(k) = 151*k - 168. What is the hundreds digit of s(9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(w) = 76*w**2 + 14*w + 5. Let u = 4 + -9. Is z(u) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 12387 + -12336. Let u = 178 - 26. Calculate the remainder when u is divided by s.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-869)\/(-22) + (23 - 855\/38)?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -410.98 + -5.02. Let i = -420 - r. What is the nearest to -2 in 4, i, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*j + 333 = 291. Sort 1, 0, j in increasing order.\nAnswer: 0, 1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are 54977 and 54977 non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Put -6, 1\/46, -2\/7, -3881, 0.5 in decreasing order.\nAnswer: 0.5, 1\/46, -2\/7, -6, -3881","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -6*o + 78 + 636. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0000479149 to 5 decimal places.\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 11756423 to the power of 1\/2, to the nearest integer?\nAnswer: 3429","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -0*s - 4*s + 12. Suppose -3*a = 5*f - 2*a - 9, -5*f + s*a = 7. Find the common denominator of -3\/13 and 1*-3 + f\/((-9)\/(-174)).\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(j) be the third derivative of -j**8\/840 + j**7\/210 + j**6\/180 - j**5\/30 + 3*j**3\/2 + 9*j**2. Let l(k) be the first derivative of q(k). Factor l(n).\nAnswer: -2*n*(n - 2)*(n - 1)*(n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 44537 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let z(s) = -s**3 + 11*s**2 - 16*s + 84. Let i(x) = -66*x - 122. Let j be i(-2). Let f be z(j). Solve f = 8*o - 2*o for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*t + t + 16 = 0. Is -1 + 1 + (-82568)\/16*t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -0.215 - 98.785. Let n = j + 98.9. What is the third biggest value in 0, n, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -685?  (a) 4  (b) 2\/21  (c) 1\/2  (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from nzuuuzzuuimunuzmmmn. What is prob of picking 2 n and 1 z?\nAnswer: 4\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 5 - 2228cef?\nAnswer: -2228cea","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let v be ((-6)\/(-15))\/((-1)\/(-5)). Suppose v*r + 80 = 2*l, -2*r - 2*r - 20 = 0. What is the remainder when l is divided by 18?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.1 in 0, -2, 8\/5, -4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.000001764044 to seven dps.\nAnswer: -0.0000018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {o: 1, p: 12}. Give prob of picking 3 p.\nAnswer: 10\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 10099230?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let l(z) = 2*z**3 + z**2 - z. Suppose -2*r = 2*r - 20. Let n(a) = -a - r*a + 4*a. Let w be n(1). Give l(w).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 17993.\nAnswer: 19, 947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let o(f) = -170*f + 69. What is the units digit of o(-11)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 0.156 + 99.844. Let g = a + -99.999902. Round g to four decimal places.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -1848 + 1850. Let z(q) = 3*q + 2. Let t be z(2). Solve k*y + 2*y = 3*f - t, 2*y + 5*f = -4 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 434 - 903. Let d = 975.85214 - 506.85007. Let a = v + d. What is a rounded to four decimal places?\nAnswer: 0.0021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 0.054 - -52.946. Let w = 53.26 - f. What is the second biggest value in w, 2\/17, -2\/21?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 948\/11 - 6\/33. Suppose -4 = 84*w - g*w. Suppose -j = 2*u - 194, 6*j - w*j - u = 758. What are the prime factors of j?\nAnswer: 2, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 4756297 to the nearest integer?\nAnswer: 168","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 1007 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -17853 divided by 1499.\nAnswer: -17853\/1499","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-4)\/(0 - (-4)\/(-422)). Suppose -5222 = -3*t - o. Round t to the nearest 1000.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -1145 - 3201?\nAnswer: -4346","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -699 + -4658?\nAnswer: -4d13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 13*h - 23 = 276. What is the second derivative of -5*u + u**4 + 145*u - h*u**2 + 12*u**2 - 8*u wrt u?\nAnswer: 12*u**2 - 22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(j) = -30*j - 498. List the prime factors of y(-31).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -33  (b) -0.166  (c) 0.1  (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 56278 a multiple of 38?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -4f4dbf + -1?\nAnswer: -4f4dc0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let u(m) = -2. Let z(w) = -1. Let y(j) = -2*u(j) + 3*z(j). Let k(r) = -2*r - 4. Determine k(o) + 4*y(o).\nAnswer: -2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -28\/206013 and -47\/98.\nAnswer: 20189274","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 3 - 2.8. Let v = 0.11 - -0.29. Which is the closest to -0.1?  (a) 0.1  (b) o  (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(a) = -a + 2. Let w be p(0). Factor 0*i**2 - 6*i + 8*i + 2*i**3 - 3*i**w - i**2.\nAnswer: 2*i*(i - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*s - m - 75 = -6*s, s - 4*m = 0. Suppose 0 = 5*z + s, -2*o - 5*z = 2*o - 288. What is the greatest common factor of 7 and o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 572\/3*76\/8. Let s = 86659\/48 - x. Let v = -2131 + 34065\/16. Find the common denominator of v and s.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(187)\/(sqrt(11)*-2) + 5.\nAnswer: -sqrt(17)\/2 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -100524, -100380, -100120, -99726, -99180?\nAnswer: -98464","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*k - 148 = -0*k. Let s = 62 + k. List the prime factors of s.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.4?  (a) 0.5  (b) -1.22  (c) -1\/3  (d) 2\/181\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 7927\/7 - 1133. Is 12.3 > d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((13787\/(-38928))\/((-5)\/80))\/(((-2)\/2)\/(-9)).\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from cccccccccocccccccc. Give prob of picking 4 c.\nAnswer: 7\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 117 + -116. Let l = 2 + -1.96. Let i = l + -5.04. Sort 0, i, w in ascending order.\nAnswer: i, 0, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.106 in 2\/5, -4, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 75 and 100.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -246 - -2?\nAnswer: -244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let g(y) = -y**2 + 8*y + 2. Let o be g(6). Let c(f) = f**2 - 6*f + 2. Let a be c(6). What is h in -a + 2 + o*h**2 + 4*h = 0?\nAnswer: -2\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: -391248 + 0.108050895\nAnswer: -391247.891949105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Put -18\/7, 2, 2\/103, 2\/13, -0.4 in descending order.\nAnswer: 2, 2\/13, 2\/103, -0.4, -18\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 5*m - 10 - 1 + 6*m + 55 - 10*m.\nAnswer: m + 44","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:45 AM and 3:09 PM?\nAnswer: 264","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: 222 divided by -6\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -1 - -1.2. Let v be (-5)\/(-2)*(-7 + 5). What is the closest to u in 0.5, 3, v?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 532299.5124202 + 0.1\nAnswer: 532299.6124202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -54106499 + -0.04.\nAnswer: -54106499.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 4260 and 60.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {g: 1, m: 1, d: 1, i: 1, j: 1}. What is prob of sequence idj?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (5 - -2) + -5 - -3?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 37412.\nAnswer: 2, 47, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange ((-4*l + 3*l + 0*l)*(2 + 0 - 4) - 8*l - 2*l + 2*l)*(4*l**2 - 3*l**2 - 2*l**2) to the form s*l + x*l**2 + t*l**3 + r and give t.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-2)\/3 - (-830)\/30. Which is smaller: 26 or j?\nAnswer: 26","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2 = -29*n + 164 + 95 for n.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (210\/56)\/(15\/12).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 19561 - 19564. Put -61, y, -17, 1 in decreasing order.\nAnswer: 1, y, -17, -61","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 6523933895.\nAnswer: 5, 10181, 128159","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -1897, -2\/11, -0.1?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let g(p) = -p**3 + 3*p**2 - 2*p - 1. Let s be g(2). Let z be -37 + -4 - (-1 - s). Let c = z - -25. What is c rounded to the nearest 10?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence xxx when three letters picked without replacement from xxxxxx?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: 128 * -20.37\nAnswer: -2607.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 6386, 12771, 19156, 25541?\n\"Answer: 6385*q + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2*(-6*2*sqrt(66))\/(sqrt(150)*-2)*-1.\nAnswer: -12*sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*g + 6*g = 24. Let d be 17\/3 - g\/(-18). Suppose c + 2*r + 6 = 0, c + d*r = -12 - 6. What is the units digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -4 minus 3399941?\nAnswer: -3399945","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 879 and 1083807.\nAnswer: 1083807","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-b - 7*b - b)*(-29 - 6*b + 18 + 17)*(14 - 9 + 11).\nAnswer: 864*b**2 - 864*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose g - 32 = -5*l, -2*l + 3*g + 15 + 8 = 0. Let a be (1 + -2)*(0 + 6). Let k = a + l. What is the units digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {z: 2, a: 5}. Give prob of picking 2 z.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let d(a) be the first derivative of 0*a**2 - 8\/5*a**5 + 15*a + 13 + 0*a**4 + 0*a**3. What is the first derivative of d(q) wrt q?\nAnswer: -32*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -12*c = d - 8*c - 11, 3 = c for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 963 and 2140?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {v: 1, o: 1, s: 1, e: 1, z: 1}. Give prob of sequence sz.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*p - 12 = 4*i + 11, 5*i + 9318 = 3*p + 9286 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 238*x - 244*x = -66 for x.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let 2*g**2\/3 - 51391966*g\/9 - 17130656\/9 = 0. Calculate g.\nAnswer: -1\/3, 8565328","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Put 4\/5, 71, -33, 5 in decreasing order.\nAnswer: 71, 5, 4\/5, -33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0005493 to 4 dps.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Work out -9 * -265570.5.\nAnswer: 2390134.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 101 + 26. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -63.37 + -1.63. Let l = o - -65.27. Let b = l + -0.37. Is 9 >= b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) -0.1  (b) 5  (c) 0.1  (d) 2  (e) 1750  (f) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is (14\/315*27)\/(2\/(-10)*58)?\nAnswer: -3\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -9 + 3 - (-34 - -33 - 0)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 2046136191 a multiple of 3360?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 145625 and 233.\nAnswer: 233","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 2375 and 15.\nAnswer: 7125","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 90 - -5. Is u a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: 20022430 (base 5) to base 4\nAnswer: 212202221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k(h) = h. Let x be k(-6). Let p be ((-4)\/x)\/(10\/(-15)). Let t be 0 + p + 15 - 2. Calculate the highest common factor of t and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 396 a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Sort -10\/47, -0.2, -0.3 in ascending order.\nAnswer: -0.3, -10\/47, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:20 AM and 12:27 PM?\nAnswer: 667","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 371 minutes after 1:23 PM?\nAnswer: 7:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 553 minutes after 1:27 PM?\nAnswer: 10:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 115, 587, 1379, 2491, 3923?\n\"Answer: 160*j**2 - 8*j - 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let i(v) = 3*v**3 + 5*v**2 - 8*v - 5. Let d(t) be the first derivative of 3*t**4\/4 + 2*t**3 - 9*t**2\/2 - 6*t + 5. Let x(n) = 5*d(n) - 6*i(n). Factor x(u).\nAnswer: -3*u*(u - 1)*(u + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-77056)\/2640 + 16 - 30\/55 - -14?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 971.095 centuries in millennia?\nAnswer: 97.1095","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y(a) = 4*a**2. Let z be y(-1). Let b = 7 - z. Is -2 + 6 + -1 + b a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in fourty-one halves of a litre?\nAnswer: 20500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k(m) = m**3 - 6*m + 358. Let n(a) = -a**3 + 4*a - 359. Determine 2*k(s) + 3*n(s).\nAnswer: -s**3 - 361","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-306)\/33 + (102\/11 - 9)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 82 - 218. Let i = c - -209. What are the prime factors of i?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 102 divide 13668?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(150) + sqrt(150) + (sqrt(150) - 6*(sqrt(150)*1 + sqrt(150)) - sqrt(150) - sqrt(150)))\/sqrt(6))\/(sqrt(25)\/sqrt(5)*4*-1).\nAnswer: 11*sqrt(5)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -12415593, -24831190, -37246787, -49662384?\n\"Answer: -12415597*l + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*z = z. Let u(k) = -k**2 - 4*k - 1. Let o be u(-5). Let b = o - -8. Solve b*y + z*y = -2 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 7829 + -7784.944. Let i = 43 - f. Let t = i + 0.086. What is t rounded to one dp?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(t) = 5*t**2 - 10*t - 3. Suppose 5*a + 26 = 4*g, -5*g - 1 = 4*a - 13. Let u(f) = 4*f**2 - 9*f - 2. Determine a*c(i) + 3*u(i).\nAnswer: 2*i**2 - 7*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Put 6, 61.3, 5 in descending order.\nAnswer: 61.3, 6, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let z(x) = x - 1. Let p be z(3). Suppose h + p - 6 = 0. Solve -4 = -h*t + 4*c, -4 = -5*t - 0*c + 4*c for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0000009292 rounded to 7 decimal places?\nAnswer: 0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let l(m) = 39*m + 38. Let z be l(-2). Let k(t) = 14*t - 2. Let r be k(3). Let p = r + z. Which is the nearest to -0.2?  (a) p  (b) -1  (c) -2\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 27399 + -9548. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(j) = -2*j - j**3 + 96 + 2*j. Let k be q(0). Suppose 4 = 4*p - k. What is the remainder when p is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2 + (4*((0 + sqrt(112) + -3 - -4*sqrt(112)*-2) + -1))**2*-5 + 3.\nAnswer: -440315 - 17920*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-1 - -79) + -120 + (13 - 1)?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*j**2\/5 - 216*j - 29160.\nAnswer: -2*(j + 270)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 14 - 3a654?\nAnswer: -3a640","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -n = g - 345, -2*g = -2*n + 376 + 314. What is the units digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: 8\/30*10\/56*-2\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 2\/((1 + 2)\/(-6)). Let w(s) = s. Let r(o) = 3*o + 4. Let u(f) = -r(f) + 2*w(f). What is u(p)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(z) = -z**3 - 31*z**2 - 60*z - 45. Is g(-32) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 24312 (base 5) in base 14?\nAnswer: 94c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t(m) be the first derivative of 2*m**3\/3 - 80. Let l(v) = 89*v**2 - 26*v**2 + 66 - 66. What is l(t(j))?\nAnswer: 252*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -28.3 - -28. Put r, -5, -6 in decreasing order.\nAnswer: r, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -88\/135 and -157\/60?\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let b(w) = w**2 + 23*w - 380. Give b(-34).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*y**2\/3 - 6*y - 44\/3 = 0.\nAnswer: -2, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 53431603 to the nearest integer?\nAnswer: 7310","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*y - 4 + 1 = 5*k, -k = 35*y - 39*y - 2*k + 9 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 38\/1595 and 319332\/1561560 - (1 + -3 - (-56)\/26).\nAnswer: 22330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -4185218, -8370507, -12555796, -16741085, -20926374, -25111663?\nAnswer: -29296952","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l(o) = 3*o**2. Let p(a) = -a - 3. Suppose -2*i + 5 = 5*k, -5*i = 4*k - 23 - 15. Let h(t) = 4*t + 10. Let j(r) = i*p(r) + 3*h(r). What is j(l(d))?\nAnswer: 6*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 4 - (-10)\/(8\/(-8)). Which is the third biggest value?  (a) -1\/2  (b) 3  (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 7110789747 - 7110792612.9997638. Let t = m - -2866. Round t to 5 dps.\nAnswer: 0.00024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -91619477*h**2 - 146350711 wrt h?\nAnswer: -183238954*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-3)\/12 - (-26)\/8. Let m be 1 - 3*1\/b. Suppose -5*l + x + 67 = m, 0 = -l + x + x + 17. List the prime factors of l.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 8*d - 2986741 + 2986741.\nAnswer: 8*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (16\/(-5))\/((-60)\/40*280\/50).\nAnswer: 8\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -117255*i**4 - i**3 + 25*i**2 + 23035133*i wrt i?\nAnswer: -1407060*i**2 - 6*i + 50","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2190705556?\nAnswer: 2, 13, 3187, 13219","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 1326 - 993. Is p a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -12\/19 + 22\/95. Let x = -10\/13 + 423\/533. Let u = -38\/123 - x. What is the closest to u in 0, y, 5?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -3 divided by 137\nAnswer: -3\/137","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let n(d) be the first derivative of d**6\/180 - 7*d**5\/15 + 49*d**4\/3 + 2*d**3\/3 - 6*d**2 - 59. Let q(c) be the third derivative of n(c). Factor q(b).\nAnswer: 2*(b - 14)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(h) = 7*h + 20. Let k be u(-3). Let r be (-190)\/48 - (k - (-5 - -2)). Let v = -45\/8 - r. Which is the second biggest value?  (a) -5  (b) -1  (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 22 - -7. Let n = -30 + v. Let d be 2 + 0 + 28\/(-15). Which is the nearest to n?  (a) d  (b) 1  (c) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (6376*a + 731 - 3191*a - 3186*a)*(-9*a**3 + 5*a**3 + 0*a**3) as o*a**4 + j*a + r*a**3 + i*a**2 + n and give r.\nAnswer: -2924","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -33 + 79. Suppose 0*u + 48 = 4*u. Calculate the remainder when d is divided by u.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(w) = w**2 - 3*w - 2. Let i be z(3). Let l be i\/3 + (-16)\/12. Calculate the remainder when (-89)\/l - (-4)\/8 is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1202 = 136*j - 3930 - 6928 for j.\nAnswer: 71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let f(p) = -29*p**3 - 5*p**2 + 6*p - 17. Determine f(3).\nAnswer: -827","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 855602.5l in millilitres?\nAnswer: 855602500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4 - 3 + 1)*(-q**5 + 4*q**5 - 4*q**5) + 0*q**5 + 2*q**5 - 4*q**5 - q**2 + q**5 + q**2 + (-2*q + 2*q + 2*q**5)*(-5 + 1 + 3) + 2*q - 2*q - 2*q**5.\nAnswer: -7*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 6407 <= 6413?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*x + 13 = -143. Which is greater: -38 or x?\nAnswer: -38","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(p) = -19*p + 2160. Give l(114).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 3 + 1*(4 - 5). Let w(z) = -4*z. Let i(l) = 2*l. Give h*w(a) + 5*i(a).\nAnswer: 2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 37\/4 and -5\/6.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*s**2 + 258208*s - 774660 = 0.\nAnswer: -64555, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4*(sqrt(187) - (sqrt(187) + 1*-1*sqrt(187)))*4)\/(-6*sqrt(891)*-1*-4).\nAnswer: -2*sqrt(17)\/27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 15*y**2 + 28 - 25 - 3.\nAnswer: 15*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 718\/6 - 65\/(-195). Calculate the greatest common factor of 72 and h.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 10041245 - -1?\nAnswer: 10041250","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let w(y) = -41*y - 2520. Calculate w(-62).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 961*w**2 + 48 - 48.\nAnswer: 961*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6 = -a - a, -4*g = -a + 5. Put -1, 3, g in descending order.\nAnswer: 3, -1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(w) = -243*w - 33. Is v(-8) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(v) = -v**3 + 8*v**2 - 6*v - 3. Let x be u(7). Let i = 3 - x. Let y be -4*(-7 + 2 - i). Solve 5*f - f = -y for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(c) be the first derivative of -c**4\/2 - c**3 + c**2 - 5*c + 11. What is the remainder when m(-4) is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 70 and 100.\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify h**(-2\/25)\/h**(-1\/4)*h**38\/h*h\/(h\/(h\/(h**2\/h)*h)) assuming h is positive.\nAnswer: h**(3817\/100)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1086*d + 39243 + 72522 = 2208*d - 85875 for d.\nAnswer: 60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 11 - 3. Suppose 0 = 5*q - 3*n + n, q = 2*n + o. Let x = 69\/20 + -16\/5. What is the second biggest value in -0.04, q, x?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (2\/1)\/(7 + -1). Suppose m - 6 = 4*s, -5*s + 5*m - 14 = -s. Which is the closest to f?  (a) s  (b) -0.1  (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -23201\/6 + 3867. What is the fourth smallest value in 3, 1\/4, -4\/7, q?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -42*l + 125 = 41 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -150 = -4*y + 6*y + 4*o, -90 = y + 5*o. Let x = y + 68. Suppose -16 = -4*n - 4*b, x*n + 0 - 12 = 3*b. Solve -n*c = -0*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose o + 111*w = 113*w + 515, 0 = -4*o - 3*w + 2093. Is o a multiple of 59?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -37 - ((-1 - -9) + -23).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -36 = u - 5*u. Suppose -1 = -a + u. Suppose -4*w + 118 - 102 = 0. Calculate the smallest common multiple of w and a.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -324 - -548. Let y = -144 + u. Is 40 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 5 (base 16) in base 2?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 34*x + 242 = 684 for x.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 614541 + -4?\nAnswer: 614536","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5129*k = 5126*k - 5*z - 35, 0 = -k - 3*z - 25. Let l = 3 - 3. Solve 3*x - 5*q + 17 = l, -3*x = 3*q - k - 10 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be ((-18)\/30)\/((-3)\/(-2)). Let b = 4 - 2. Sort 0, m, b.\nAnswer: m, 0, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 + 1 + 0)*((-6*r + 335 - 335)*(2*r - 2*r**4 - 2*r) + (0*r**3 - 2*r**3 + 4*r**3)*(-3*r**2 + 2*r**2 + 0*r**2)).\nAnswer: 20*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let l(v) = -36*v - 3. Let a(q) = 7*q - 1444. What is a(l(p))?\nAnswer: -252*p - 1465","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 0 + 3. Suppose -2*t - 5 = -y*t. Solve 3*f + 7 = -t for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(o) = -o**3 - 5*o**2 - 2*o - 2. Suppose 2*p = -2*p + 56. Suppose 3*k - 4*s - 12 = 8*k, k - 5*s = -p. Calculate j(k).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 996 divide 1325028687?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let c(u) = -9 + u + 3*u - 5 + 6 - 4*u**2. Let d(w) = -w**2 + w - 1. What is -c(m) + 6*d(m)?\nAnswer: -2*m**2 + 2*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 646173640 to the power of 1\/6, to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -0.022 + 0.07. Let j = 237.8870078 + -237.839. Let f = x - j. What is f rounded to 6 decimal places?\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2*z**3 - 10*z**3 - 8*z**3 - 8*z**3 + 24*z**3.\nAnswer: -4*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10*v = -436 + 156. Let p = 28 + 0. What is the highest common divisor of p and v?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -8?  (a) -1\/4  (b) 7029  (c) -5  (d) 0.1  (e) 5  (f) -2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 0.0375 smaller than 9240\/61?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -i**2*p**4 + 4*i**2*p**2 - i*p**2 - 16*p**6 wrt p?\nAnswer: -24*i**2*p - 1920*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let d(k) be the third derivative of k**5\/60 + k**4\/8 - 5*k**3\/6 - 3*k**2. Let o be d(-5). Calculate the greatest common divisor of o and 45.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1*(-7)\/((-182)\/(-4))?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let c(o) = 8*o. Suppose -5*m - 8 = -123. Let t = m + -12. Let y(h) be the first derivative of -15*h**2\/2 - 4. Determine t*c(n) + 6*y(n).\nAnswer: -2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 461205 and 161768?\nAnswer: 269343720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -145, -891, -2239, -4183, -6717, -9835, -13531?\nAnswer: -17799","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*m**3\/5 + 72*m**2 + 3240*m = 0 for m.\nAnswer: -90, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let i(o) = -o. Let y(j) = 91*j + 32*j + 4*j. Give y(i(p)).\nAnswer: -127*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 171*i**3*l**4 - 32793*i**3*l - 154*l**5 wrt l.\nAnswer: 2052*i**3*l**2 - 3080*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -42 in -5, -3, 0.052, -2, -1?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -80500456*t - 80500498*t + 161000919*t.\nAnswer: -35*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.01367410453 rounded to 3 dps?\nAnswer: 0.014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: 3\/2*4\/(-6)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -8 divided by 1115?\nAnswer: -8\/1115","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -17702 + 49791. List the prime factors of p.\nAnswer: 32089","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(i) = -i**3 - 7*i**2 - 6*i + 6. Let a be u(-6). Let y(b) = -4 + a*b**2 + 3 - 4 + 5*b - b**3. Is y(6) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:02 PM and 3:54 AM?\nAnswer: 592","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 881357 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is eighty-eight fifths of a kilometer in meters?\nAnswer: 17600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 10 - -124131332?\nAnswer: 124131342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:09 AM and 5:03 PM?\nAnswer: 474","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 28662.\nAnswer: 2, 3, 17, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*l**2 + 36856*l - 169795592 = 0 for l.\nAnswer: 9214","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0 (base 12) to base 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*o + 1804 = -2372. Let v be (-24)\/(-36) - (-910)\/o. Let r = v + 803\/696. What is the common denominator of 7\/16 and r?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 3*f**2*q - f**2 + f*q**2 + 30*f - q**2 wrt q?\nAnswer: 3*f**2 + 2*f*q - 2*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Round 228489900 to the nearest 1000000.\nAnswer: 228000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 779 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 924*t - 1510*t + 575*t - 63*t**2.\nAnswer: -63*t**2 - 11*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let i(v) = -2*v**2 + 89*v - 324. Let g be i(4). Which is the fifth smallest value?  (a) 3\/5  (b) -1  (c) -46  (d) 1  (e) g\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -47 - -49. Solve -16 = -z - 3*m, t*z - 17 = -2*m - m for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 963 is divided by 59?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 3324646237 a multiple of 5945?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-4)\/(-10))\/(90*(-3)\/(-300)).\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {k: 2, n: 1, z: 2, r: 1}. Give prob of picking 2 k, 1 n, and 1 r.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve 24 - 34 = 3*i + n, -i - 5*n + 20 = 0 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 62113?\nAnswer: 179, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 19309 - 19243. Calculate the lowest common multiple of 891 and v.\nAnswer: 1782","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.231447 rounded to three dps?\nAnswer: -0.231","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 412283.\nAnswer: 149, 2767","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -101\/54 and -71\/16.\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let a(k) be the second derivative of -25\/12*k**4 - 22*k + 2\/3*k**3 + 0 + 0*k**2. What is the second derivative of a(v) wrt v?\nAnswer: -50","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 161 a factor of 2987810?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 17009.\nAnswer: 73, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*i**2 + 3*i - 3*i)*(-1 - 3 + 6)*(2*i + 0*i + 0*i).\nAnswer: -12*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1209?\nAnswer: 3, 13, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 572 minutes after 8:06 PM?\nAnswer: 5:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 14*p - 5*p - 45 = 0. Suppose -y - 6*j + 3*j = -10, -13 = 2*y - p*j. What is the second biggest value in -16, y, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 101 + -201?\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*z - 2*a + 225 - 279 = 0, -2*z + 15 = -3*a for z.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is -258131101.3 rounded to the nearest 100000?\nAnswer: -258100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 76*m**2 + 2 + 77*m**2 - 154*m**2 - 2.\nAnswer: -m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*c - c + i - 4, 4*c - 5*i + 20 = 0. Let g = c - -3. Suppose 19 = g*s - 11. Is 5 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -13112 (base 5) to base 11.\nAnswer: -859","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k(x) = -x**2 + 9*x + 13. Let o be k(11). Let b be (3\/(-9))\/(1\/o). What is the second derivative of 10*j**4 - b*j - 12 + 4 + 8 wrt j?\nAnswer: 120*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1489 is divided by 24?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 129 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -3.3 - -0.3. What is the closest to 3 in 5, n, 0?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 10\/(-45) - 115\/9. Let m = 14 + p. What is the third smallest value in 2, -0.1, m?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -83\/6 + 27\/2. Let x be ((2\/9)\/2)\/(32\/(-192)). What is the nearest to x in 2, d, 0?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 646151197 and 446.\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (o**(-3))**(-1\/13)\/(o**(-2\/9)*o**(-2\/5)*o) assuming o is positive.\nAnswer: o**(-86\/585)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: (10\/8*(-52)\/(-39))\/(1590\/13356)\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 49 in -45, -3\/14, 2, 0.3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -1 + 0 + (2 - 3 - -3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0003721101 rounded to 4 decimal places?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 3?  (a) -0.12  (b) 57\/2  (c) -0.2  (d) -2  (e) 0.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Put 4, 81156, -131 in ascending order.\nAnswer: -131, 4, 81156","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1458*n**4\/11 + 2160*n**3 - 100256*n**2\/11 + 2560*n - 2048\/11 = 0. Calculate n.\nAnswer: 4\/27, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1 + -11 + (51 - (19 - (5 - (1 - 6)))).\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 85976 to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 2543, 2564, 2587, 2612, 2639, 2668, 2699?\nAnswer: 2732","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 1998869 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (j**(-9)\/j**(1\/3)*(j**(1\/3))**39)**(-27) assuming j is positive.\nAnswer: j**(-99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is -400000 rounded to the nearest one million?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: How many grams are there in thirteen quarters of a kilogram?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 11431939.\nAnswer: 17, 19, 35393","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 10111 + 20200?\nAnswer: 101011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: 6\/(6 + (-292)\/32) + 2\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of -402, -391, -366, -321, -250, -147?\n\"Answer: t**3 + t**2 + t - 405","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(1573) - (sqrt(1573)*-1 + 5 - sqrt(1573)))**2 + ((sqrt(1573) + sqrt(1573) + -1)*1)**2 + -4)*2 + -3.\nAnswer: -748*sqrt(13) + 40939","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 7386 - 4628. Is 3 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(d) = -d - 4. Let g(l) = -2*l - 12. Let x(f) = -3*g(f) + 8*i(f). Let b(v) = v - 2. Let z be (-1)\/(-1) - 2*4. Let y = -9 + 5. Calculate y*x(k) + z*b(k).\nAnswer: k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1547 is divided by 766.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Round 57.495 to the nearest one hundred.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {q: 6, k: 2, t: 4, e: 4, h: 3, r: 1}. What is prob of sequence eqhr?\nAnswer: 1\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 12603 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: 0.1 times 2.93601\nAnswer: 0.293601","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 8428 a multiple of 98?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let c(r) = -r. Let u(z) = z**3 + 8*z**2 + 7*z - 5. Let t = 4 + -11. Let x be u(t). Give c(x).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(v) = -4*v. Let l = -13 - -13. Let y(o) = 2*o - 3*o**2 + l*o - 2*o. Determine b(y(g)).\nAnswer: 12*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 27\/(-30) + 17889\/2010?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1*-2*(sqrt(17) + -1 + sqrt(17)))**2.\nAnswer: -16*sqrt(17) + 276","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 214748 and 63844?\nAnswer: 2362228","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 21 - 30. Let g = t - -7. Let b(m) = m + 1. Let k(r) = r**2 + 3*r + 3. Calculate g*k(y) + 6*b(y).\nAnswer: -2*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: -13 + -15 + -9 + 15\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*u - 4*q + 3*q + 3 = 0, -3*u - 4*q = -7. Let w be (1*-2)\/(u\/(-16)). Let a = 25 - 21. Solve 2*j - a = -c, -4*j - 4*c = -8*j + w for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}