diff --git "a/data/dm_maths/full_data_1/2210_11255.jsonl" "b/data/dm_maths/full_data_1/2210_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_1/2210_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: How many minutes are there between 11:34 AM and 7:39 PM?\nAnswer: 485","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = m**3 + 7*m**2 + 5*m + 5. Suppose 5*s = 5*o + 5, -3*s + 0*o = o + 13. Let h = s + -3. Is 11 a factor of z(h)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.240021 - -0.24. Round f to five decimal places.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) be the first derivative of 0*l + 2 - 1\/12*l**4 - 1\/3*l**3 - 1\/2*l**2. Let d(o) be the second derivative of q(o). Differentiate d(f) with respect to f.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sx when two letters picked without replacement from {s: 1, m: 3, q: 1, x: 2}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 20 + -17. Which is the second biggest value? (a) t (b) 5 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*h**2 - 2*h**2 + 0*h**2)*(19 - 2 + 1)*((-1 - 3 + 3)*(3 - 4 + 2) + 4 - 6 + 4 + 6 - 4 - 1 - 3 + 7 + 4).\nAnswer: -360*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -8 + 9. Suppose 0 = u + 2*f - 10, i = 3*f - 8. Solve u = y + 2 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 133*k**3 - 71*k**3 - 38*k**3.\nAnswer: 24*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -a**2 + 1765*a + 37504. What is y(-21)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 8*b**2 - 502*b + 20352.\nAnswer: 16*b - 502","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 23 divided by -16648084.\nAnswer: -23\/16648084","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 15518.7 + -14907. What is w rounded to the nearest one hundred?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -5, 0.0711, 2\/5, -0.01, -4\/9?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 18897101?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8976408?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0039461 rounded to four dps?\nAnswer: -0.0039","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -247891, -247877, -247863, -247849?\n\"Answer: 14*n - 247905","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9919 is divided by 3302?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = z**2 + 12*z + 35. What is m(-7)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 10674787 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 204626?\nAnswer: 2, 101, 1013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-three fifths of a meter in centimeters?\nAnswer: 1060","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*t + 3*t - 7*t.\nAnswer: t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 242 is divided by 99.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Add together 248160808.5 and -0.01897.\nAnswer: 248160808.48103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 377 - 377. What is the second derivative of 32*v + 16*v + 3*v**3 + 3 - 19*v**5 - 1 + x*v**3 wrt v?\nAnswer: -380*v**3 + 18*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -47622, -95660, -143690, -191712?\n\"Answer: 4*b**2 - 48050*b + 424","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (-2*sqrt(1872))**2 + sqrt(1872) - (sqrt(1573) - (sqrt(1573) + (sqrt(1573) - (sqrt(1573) + 0))*-6))**2.\nAnswer: 12*sqrt(13) + 7483","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3508*g = -3555*g + 846 for g.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28785 = 649*l + 9315 for l.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1640? (a) 5 (b) 1 (c) -1\/7 (d) 0.3 (e) -1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*p - 17 + 333. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*f + 3 = -2*a - 7*f, 3*f = 5*a + 35 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = k + 7. Is 12 a factor of j(5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2 - (-5 + (-33)\/(-9))\/(2\/3). Let q(m) be the third derivative of 0*m + 3\/8*m**t - 1\/35*m**7 + 7\/40*m**6 + 0 - 8*m**2 - 2\/5*m**5 + 0*m**3. Factor q(u).\nAnswer: -3*u*(u - 1)**2*(2*u - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(2299)*1)**2 + sqrt(2299) - (sqrt(304) + (sqrt(304) - (sqrt(304) + -2)*4) - sqrt(304)).\nAnswer: 23*sqrt(19) + 2288","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 286 - 267. Suppose u*t + 168 = 26*t. Calculate the lowest common multiple of 63 and t.\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4030\/4*(-9 - (-13 + 2))?\nAnswer: 5, 13, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 3*u + 15 = -5*l, 0 = -u - 5. Suppose 6*s + l = 6. Suppose 2*v = 3*v. Solve j - 3 + s = v for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/(x\/(x**(-2\/13)*x)))**(-13)\/(x**17\/(x*(x\/x**(-2\/29))\/x)) assuming x is positive.\nAnswer: x**(-781\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 201998789 to the nearest integer?\nAnswer: 14213","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7496*h = -7502*h. What is n in 0 + h*n**3 + 2\/7*n**4 + 4\/7*n - 6\/7*n**2 = 0?\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 26c8 + -2c51?\nAnswer: -556","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 55 and 187.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q = 3*n + 7, -8 = 2*q + 3*n - 3 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/17*17 + (5 - 4).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5 - (-1 + 3)) + 6 + -7 + 8.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5*n + 4*n - 3*n - 2)*(-3 - 7 + 0) to y + i*n and give y.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1422 + 753 = -5*d. Is (d\/6)\/(-5)*14 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -62 - -33. Let s = g + 56. Let u(l) = l**3 + 21*l**2 + 19*l - 11. Let f be u(-20). What is the highest common divisor of f and s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.8*-561849\nAnswer: -449479.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 63*n = 1494*n + 2465*n + 1131*n - 175945 for n.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -0*w + w + 2 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u + 2*u = 114. Let i = u + -2. Suppose 3*f = 5*r - 102, -4*r + i = f - 30. What is the tens digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/5 of a centimeter in micrometers?\nAnswer: 26000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 298*a - 68232. What is n(229)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (sqrt(832) - (sqrt(832) + -1 - sqrt(832))) - sqrt(832))**2.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 94 is divided by 48.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 70 - 27120\/384 - 138\/(-16).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = q**2 - 9*q + 10. Let o be s(8). Find the third derivative of -4*i**4 - 15*i**4 - o*i**2 + 5*i**4 wrt i.\nAnswer: -336*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 s when two letters picked without replacement from {i: 1, k: 3, j: 2, f: 3, s: 1}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 59597941?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4310 + 4753.4. What is z rounded to the nearest one hundred?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -15\/2603261 and 131\/170.\nAnswer: 26032610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*n**2 + 11*n**2 + 63*n**2 - 60*n**2.\nAnswer: 19*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Total of 21157.11688 and 0.3.\nAnswer: 21157.41688","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 244004 - 1144413?\nAnswer: -400404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*a + 45 - 55 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 476854?\nAnswer: 2, 7, 34061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 - (-2 - -12 - (15 - 0)).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (225*o**2 - 458*o**2 + 235*o**2 - 1 + 32*o**4)*(-1 + o + 1).\nAnswer: 32*o**5 + 2*o**3 - o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 45726857?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 175*y - 1. Let m be p(1). Suppose -78 = -21*s + m. Solve s*u - 8*u = 12 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 9046?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 - 18 - -17) + 48 - (-4 - -19).\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 4, -1\/4, 1610, 1?\nAnswer: 1610","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*d**3 + 11*d**3 + 173*d**3.\nAnswer: 194*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i when two letters picked without replacement from iii?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 4657787, 4657847, 4657907, 4657967?\n\"Answer: 60*y + 4657727","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 291958?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1342152611 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.067376557 plus 0.22?\nAnswer: 0.287376557","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (0 - (-8)\/(-14))\/((-3)\/21). Suppose o*s + 3*v - 14 = 0, -3 = -2*v + 1. Factor 251 + d**2 - s*d - 251.\nAnswer: d*(d - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 27 and 354532806?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 664559062 to the nearest integer?\nAnswer: 25779","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 >= -6\/18653?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 - 6 = -2*n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = z**2. Suppose 3*c - 6 = -8*v + 10, -4*v = 3*c - 8. Let g(x) be the first derivative of 4 + 4\/3*x**3 + c*x + 0*x**2. Determine n(g(y)).\nAnswer: 16*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ggwgglgbylygly. What is prob of picking 1 g and 1 y?\nAnswer: 18\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -6 + 8. Let z = 23 - b. Does 7 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -111\/322 and -6\/511.\nAnswer: 23506","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(136)*-2*-2 + sqrt(136) - 3*sqrt(136)*-2)\/(sqrt(128) + -2*sqrt(128)*-3 + sqrt(128) - sqrt(128)).\nAnswer: -55*sqrt(17)\/28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*r - 1 + 13. Let s be (-1 - r\/(-15))*-5. Let z = 5 - 4. Sort -5, s, z in descending order.\nAnswer: s, z, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.34 - 0.06. Let x = r - -0.35. Let p = 1.95 - x. Which is smaller: p or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 403825 and 377?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0017132622 rounded to 4 dps?\nAnswer: -0.0017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14069 is divided by 667?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.4? (a) -10354118 (b) -1\/2 (c) -1 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5 in 0.21901, -21, 2?\nAnswer: 0.21901","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 402 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 30*h**2 - 5*h. Let z be w(-1). Suppose 10*i + z = 17*i. Which is the third smallest value? (a) i (b) 0 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 20197 = v, -5*i + 22888 = 3*v - 27603. What is i rounded to the nearest one thousand?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*x - 48 = -22*x - 3*c - 84, -4*c = -4*x + 4*c + 96 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ninbn. What is prob of sequence ni?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*m**4 + 0 + 0 + 2*m**4 - 4*m**4 + 5*m**4 + (1 + 2*m - 1)*(2*m**3 + 5*m**3 - 4*m**3) as l + d*m**3 + v*m**2 + f*m + x*m**4 and give x.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 70 divide 302330?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -359 or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 272789.8l to millilitres.\nAnswer: 272789800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -10*i**2 - 28*i - 28. Let h be c(-1). Let r be (-9)\/(-6)*(-11 - -1). Let p be 3\/r - 42\/(-10). Put 2, 3, p, h in increasing order.\nAnswer: h, 2, 3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 13131, 13122, 13099, 13056, 12987, 12886, 12747?\nAnswer: 12564","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + ((-5*sqrt(1216)*4)**2 - (5 + sqrt(19) + 2 - (sqrt(1539) - (-1 + sqrt(1539) - sqrt(1539))))).\nAnswer: 8*sqrt(19) + 486393","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = u**3 + 2*u**2 + 7. Let f(p) = 2*p**3 + 3*p**2 + 6. Suppose 4*r + 3*k - 4 = 0, 4*r - 11*k + 8*k + 20 = 0. Give r*f(b) + 3*v(b).\nAnswer: -b**3 + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14332 (base 5) to base 6.\nAnswer: 5345","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*k**3 + 84*k - 80.\nAnswer: -4*(k - 4)*(k - 1)*(k + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101 - 1001010001000010110010?\nAnswer: -1001010001000010110111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 84115 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 19453523 a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*a - 2 - 18 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-30)\/(-5))\/(-2))\/(6\/22).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3115?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 59840 and 1600.\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4 - 1. Let d be h\/((-2)\/2)*-1. Suppose 0 = d*s + 5*v + 35, -v = -s + 1 - 2. Which is the third smallest value? (a) 1\/2 (b) s (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*n = 19 + 11 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 3*c - 17 = -8*w, -16 = 4*w + 5*c. Let o(y) = 7*y**2 - y + 1. Let i be o(w). Solve -i + 19 = -3*p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 246 and 366.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 86.3 plus 621684?\nAnswer: 621770.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 1718819 (base 11) to base 16\nAnswer: 2ca28b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -125*5\/(-125)*-15*(-16)\/40\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - d = 96, -d - 21 = 2*n - 3*n. Suppose b - n = -3*c - 9, 4*c + 3*b = 28. Solve -c*r - 8 = -4*y, 4*r + 1 = 2*y - 5 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 3*x - 2*k = -177, -4*x + 3*k - 703 = 0. Is x\/(-3) - (-6)\/9 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = x**3 - 5*x**2 - 3*x + 6. Let q be a(6). Suppose 0 = -s + 1, 5*k + 6*s - 2*s - q = 0. Suppose 0 = k*z - 0*z - 244. What is the units digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -6, -11, -2616, 1.\nAnswer: -2616, -11, -6, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 0 + 247a?\nAnswer: 247a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 51231.4 and -5?\nAnswer: -256157","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 373 divide 245923?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -m**3 - 13*m**2 + 3644*m + 43667. Determine s(-12).\nAnswer: -205","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1)\/(-10)*(-14 + 13). Let l = -5504 + 1205374\/219. Let r = l - 428\/1095. Which is the closest to -1? (a) r (b) 1\/3 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*o**2 + o**3 - 9*o**2 - 1 + 4*o**2 to the form c*o**2 + u + x*o + g*o**3 and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -2*l - 1. Let q be z(-2). Let d be (0 + 4\/4)*6. Solve 0*x = q*x + d for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 387 divided by -1279.\nAnswer: -387\/1279","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -862, -888, -924, -976, -1050?\n\"Answer: -w**3 + w**2 - 22*w - 840","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 3*m**2 - 6*m + 1. What is the lowest common multiple of v(3) and 37?\nAnswer: 370","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-128684)\/(-364) + -2)\/(1 - 44). Let n = o + 18\/559. Calculate the common denominator of 7\/16 and n.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 32413, 30863, 29313, 27763, 26213, 24663?\nAnswer: 23113","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 484 is divided by 81.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k - 17 = -p + 3*k, -4*k = 5*p - 28. Let z = p + 14. Solve z = -x + 5*s, 2*s = -3*s + 20 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -1\/41405?\nAnswer: -1\/41405","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -15, -6, 3, -5 in descending order.\nAnswer: 3, -4, -5, -6, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) be the third derivative of 0*r + 0*r**3 + 2*r**2 + 0*r**6 + 0*r**5 + 13\/24*r**4 - 11\/42*r**7 + 8. What is the second derivative of z(t) wrt t?\nAnswer: -660*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4*a**3*p**2 - 2*a**2*p**3 - 465*a**2*p**2 - 12*a*p**3 - 379*a*p**2 + 2*p wrt a?\nAnswer: -24*a*p**2 - 4*p**3 - 930*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 955964009?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -25793\/49 + 1051\/2. Calculate the common denominator of u and -41\/56.\nAnswer: 392","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -14133*x**2 - 5*x + 38. Let u be c(-11). What is u rounded to the nearest 100000?\nAnswer: -1700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 75, 128, 159, 162, 131, 60, -57?\nAnswer: -226","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -2 times -31515\nAnswer: 63030","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 38658, 38663, 38686, 38727, 38786, 38863?\nAnswer: 38958","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 460*x + 228298 = -364*x - 2159*x - 1980*x for x.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2673423 is divided by 891115?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -418, -417, -414, -409, -402, -393, -382?\nAnswer: -369","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3a + 1cd?\nAnswer: 229","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-371)\/3 - (-3 + 1). Let f be (-4)\/10 + 613\/(-5). Let n = y - f. Which is smaller: 2 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 a when three letters picked without replacement from hhahhhjahhaaajh?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-39)\/18 - 4\/3*-1.\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -593 - -1960. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -15\/12304 and -13\/179177.\nAnswer: 2866832","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = -2*r - 6, -3*r = 2*u + r. Let x be (-2)\/((-2316)\/(-387) + u). What is the highest common divisor of 6 and x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor i**2 - 11669*i + 17071110.\nAnswer: (i - 9954)*(i - 1715)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -232 + 331. Let t = -100.6 + u. Which is smaller: t or 2?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 94540?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23*m - 100 - 224 - 92 - 12*m + 416.\nAnswer: -35*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 376473 to the power of 1\/2, to the nearest integer?\nAnswer: 614","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -21*u + 1174. Calculate a(66).\nAnswer: -212","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 26\/42 - 4\/14. Which is the third smallest value? (a) z (b) 0 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-18 + 6*n + 18)*(-5 - 2 + 4)*(-3*n**2 - n**2 + 3*n**2) in the form j*n**2 + l + m*n + s*n**3 and give s.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 15 - 37. Which is smaller: -23 or q?\nAnswer: -23","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 602964846 to the power of 1\/3, to the nearest integer?\nAnswer: 845","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3164*k - 2037*k - 4898*k + 2211*k - 5*k + 5*k + 2*k + 2*k + 3*k - 3*k + (3 + 1 - 2)*(5*k - 2*k - k) + 2*k + 3 - 3 to u*k + p and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -5561269 * -0.5\nAnswer: 2780634.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Add together -19 and -0.134.\nAnswer: -19.134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ayqg when four letters picked without replacement from {y: 2, a: 4, g: 1, r: 3, q: 1}?\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g = -5*g + 5. Let m(c) = 3*c + 15. Let h be m(-5). Which is bigger: h or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -333.45 + 338.45. Let p = -241\/9 - -79\/3. What is the second biggest value in -4\/7, n, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(16\/(-2)))\/(-17*(-20)\/2720)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = n, 3*n = -3*w - 9 + 30. What is the remainder when 39 is divided by w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 224938733?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -7666 or -7667?\nAnswer: -7666","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5144508 to the nearest integer?\nAnswer: 2268","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 2 f when three letters picked without replacement from {i: 4, f: 3, c: 1, o: 2, b: 1}.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) be the third derivative of d**4\/12 - 11*d**2. Let l(u) = -13*u**2. Determine y(l(t)).\nAnswer: -26*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-41)\/(-5) + 3\/(-15). Let o be a\/(-12)*(-9)\/2. Suppose -w = -0*j + j - 22, -o*w = -4*j + 102. Does 17 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -45 + -1345.045.\nAnswer: -1390.045","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(200) - (1 + sqrt(200) - sqrt(200))**2*6 - sqrt(200)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 18\/(-27) - (-3 - 58\/30 - 72\/(-18)).\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -166*d + 7431 - 1621 = 0 for d.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -27, -63, -101, -141?\n\"Answer: -w**2 - 33*w + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.038 - 0.0379936. Round l to 5 dps.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1 - 0.75. Let l = 212.466 + -217.466. Sort 3, i, l, -1\/4 in descending order.\nAnswer: 3, i, -1\/4, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 361 is divided by 92.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (1 - (-6)\/(-4)) + 56\/16. Suppose -m - l + 26 = -4*l, -l + 39 = 4*m. Suppose -o*z + 7 + m = 0. What is the smallest common multiple of 1 and z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3252)\/56 - 32\/(-448)) + (-5 - -2).\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 553 + -482. Sort p, -5, 3, 0.3 in increasing order.\nAnswer: -5, 0.3, 3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (3057\/(-2038))\/((-3)\/(-8)). What is the closest to 0.2 in i, -1\/2, -3, -184?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = l + 1. Let p be (-10 - l) + -1*2. Put 5, -4, p in increasing order.\nAnswer: p, -4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4871 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2730 + 343?\nAnswer: -2376","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -364\/4271 - 135571441\/34168. Let n = z + 3973. Find the common denominator of n and 47\/52.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 235261 is divided by 128.\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 3, 2\/2927, 0.3, 4\/31?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 92461417 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.211571 grams in tonnes?\nAnswer: 0.000000211571","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*c + 2*c - 2*c)*(214*c + 185*c - 243*c)*(3 + 0 - 1) to v*c**2 + d + n*c and give v.\nAnswer: -936","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -w**2 - 6*w + 3. What is the lowest common multiple of (-40)\/(-100) - 106\/(-10) and p(-6)?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1984 - 620 - 2526 - 1285 + 1283)*(4*n - 5*n + 0*n + (-4 + 5 - 3)*(-n + 0*n - n) - n + n - n + 5 - 5 + 4*n).\nAnswer: -30792*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 98251 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -1670, -1680, -1694, -1712, -1734, -1760, -1790?\n\"Answer: -2*j**2 - 4*j - 1664","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 1.33, -1, 15?\nAnswer: 1.33","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 252 + -267 + 8 + -10 + -2\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 78817 and 1072087?\nAnswer: 293","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2439? (a) -5\/2 (b) -4 (c) 1 (d) -1 (e) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u - 32 = -36258*o + 36256*o, -2*u = -2*o - 16 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26140 is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 9702057 to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 2*y**3 - 65*y**2 + 456*y + 429. Calculate q(21).\nAnswer: -138","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let -a**4\/6 - 167*a**3\/6 - 407*a**2\/3 - 108*a = 0. Calculate a.\nAnswer: -162, -4, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -13 + 5. Let y be (m\/(-28))\/((-8)\/(-14)). Is 2 smaller than y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8162727*d**3 - 17*d**2 + 17*d**2.\nAnswer: 8162727*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/(-2) + (-31)\/62?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-5184)\/9072)\/((-8)\/42).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.707479 to 1 decimal place.\nAnswer: -2.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 7 + -18. Let f be (1\/c)\/(6\/12). Put f, 2\/7, -2\/3 in increasing order.\nAnswer: -2\/3, f, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*u - 1 - 5. Let p be ((-7)\/(-14))\/((-1)\/(-10)). Suppose -3*x - 280 = p*r, 2*r + 262 = -u*x + 6*r. What is x rounded to the nearest 100?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.8896964 decades to millennia.\nAnswer: 0.008896964","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1104035497 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:20 PM and 11:25 PM?\nAnswer: 305","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p and 1 r when three letters picked without replacement from ppppprppppppppp?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 32*t - 64. Let i be s(12). Suppose 140*n - i = 130*n. What is the remainder when n is divided by 0 + 2 - 7*-1?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5853*p + 5981*p + 1664 for p.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 18*t - 12. Let k be g(2). Let i = 760 - 400. Suppose 12*w = 15*w - i. Calculate the greatest common divisor of k and w.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) be the second derivative of 3*k**5\/20 + 5*k**4\/4 - 176*k + 1. Factor o(b).\nAnswer: 3*b**2*(b + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m, 1 o, and 1 q when four letters picked without replacement from mpqqppqqmommb?\nAnswer: 24\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p**4\/2 - 23351*p**3\/2 + 135907773*p**2\/2 + 4784623591*p\/2 + 2324346233 = 0. Calculate p.\nAnswer: -34, -1, 11693","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -111\/4840 and -117\/20.\nAnswer: 4840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*j**4 - 2912*j**3 + 1062868*j**2 - 2105392*j - 3171174.\nAnswer: 2*(j - 727)**2*(j - 3)*(j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 999 and 492665841.\nAnswer: 999","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) be the second derivative of -q**5\/4 + 2*q**2 - 6*q. Differentiate f(j) with respect to j.\nAnswer: -15*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -2 - (3 - (10 - -3)). Calculate the greatest common divisor of 4 and s.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -f**2 + 1. Let b(n) = n**2 - 3. Let q(l) = -b(l) - 3*h(l). Let p(w) = -5*w - 8. Calculate q(p(d)).\nAnswer: 50*d**2 + 160*d + 128","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (-13)\/((-390)\/4)*27\/(5 + -8)\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -21 - 11344053304?\nAnswer: -11344053325","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -2\/23113?\nAnswer: -2\/23113","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2683 - 2684.562. Round z to one decimal place.\nAnswer: -1.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.009982 rounded to three decimal places?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qry when three letters picked without replacement from {y: 11, u: 4, r: 1, q: 3}?\nAnswer: 11\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -37.57 + 38. Let j = r + -0.03. Let y = j + -0.3. Which is bigger: y or -1?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2*(1 + 25\/(-10)). Let h be (-2)\/4*(-5 - m). Solve -w - h = -f - 7, 6 = -3*f for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2855\/126 + 103\/42. Suppose -14\/9*c**3 - 332\/9*c**2 - f*c + 92\/9 = 0. What is c?\nAnswer: -23, -1, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*w + 32*w = 8424. What is the units digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 + 31 + -34 - 18?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 5 and -1412.\nAnswer: -7060","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/(-2))\/(((-4)\/(-2))\/(-12))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 254784371 a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 7696128 a multiple of 192?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 24\/43 in 3, -0.3, 1, 2, 0.9?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 19783175983 a composite number?\nAnswer: True","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 {y: 3, h: 2}.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 55 = -3*i, -4*g + 3*i + 190 = g. Let z = 55 - g. Calculate the remainder when z is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -47\/469 or 1?\nAnswer: -47\/469","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-100)\/(-32) + (-4)\/32 - 6. Let w(n) = -326*n**3 + n**2 + 7*n + 1. Is w(b) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = g**2 + 3*g - 3. Let b be z(3). Suppose -3*u + 7 = u + 3*n, 0 = 5*n + b. Put -5, 0, u in increasing order.\nAnswer: -5, 0, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 2*o + 4336 = 0, -3*o = -2*h + 3*h + 2164. What is h rounded to the nearest 100?\nAnswer: -2200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = f - 23. Let s be p(0). Let a = 39 + s. What is the highest common divisor of 4 and a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 1095 = 5*f, -3*i + 15*f + 636 = 11*f. What is the remainder when i is divided by 24?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 31 - 3*y**2 - 2*y**2 + 3*y**2 in the form w + c*y**2 + j*y and give w.\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 29626?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 9\/(-2 + 5\/4). Let z be (-146)\/d + (-3)\/18. Suppose -37 = -4*h + 5*k, z - 33 = -3*h - 3*k. What is the greatest common divisor of 80 and h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -7\/39338 and -5\/3536.\nAnswer: 314704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1.42 - 5.88. Let f = i - -7. What is the nearest to 0.1 in -5\/3, 0.2, f?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 3*t - 44. Let h be p(15). Solve 0 = -3*j + 4*j + h for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -p**3 + 15*p**2 - 49*p - 3. Let c(g) = 4*g**2 + 246*g + 247. Let m be c(-1). Give r(m).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -v - 32. Let h(r) = -3*r - 35. Let a(c) = 4*h(c) - 5*q(c). Calculate a(11).\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (8*d - 42 + 42 + 3 - 3 - 4*d + (d + d + 2*d)*(0 - 2 + 0))*(5 - 5 + 2*d - 3*d**2) in the form l*d**3 + j*d**2 + i*d + p and give l.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 303535 is divided by 331?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 17 + 33\/(-12 + 9)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -c**3 - 20*c - 13*c - 2 + 19*c + 2*c**2 to the form y + x*c**3 + n*c**2 + o*c and give o.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = f - 4*f + 25, 0 = -2*i + 3*f - 1. Suppose -i*n = -17 + 1. Suppose 2*b - n*v = 20, 0 = -4*b - 4*v + 5*v + 5. Round b to the nearest ten thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 6*k = -12. Suppose v = -4*o - 3, -k*v + 11 = 4*o - 2*o. Suppose v*n = -0*n + 35. What is the units digit of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 5*t + 5 = -3, -2*t = 0. Let h be ((-28)\/21)\/(1\/(-6)). Let f = h - 6. Sort j, -3, f.\nAnswer: -3, j, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7524748 is divided by 2221.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -t**2. Let x be (-2)\/(-12) + (-825)\/(-18). Suppose -7*m + x = -31. Let w(r) = m*r - 10*r - 10*r. Determine k(w(b)).\nAnswer: -81*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 73.34131ml to litres.\nAnswer: 0.07334131","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -3 + 5 + 9*t**2 - 3. Suppose -1 = 3*n + 2. What is the units digit of y(n)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*k**2 - 2*k**2 - 2*k**5)*(5 + 17 + 33 + (-2 + 5 - 1)*(1 + 3 - 6) - 2 - 3 + 4) + 2*k**3 + k**5 - 2*k**3.\nAnswer: -99*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kdssspkpbkp. What is prob of sequence kd?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*1*sqrt(121) + (sqrt(121) - (sqrt(121) + -6*-2*sqrt(121) + sqrt(121))))\/((1*sqrt(132)*-3)\/(sqrt(12) + 2*sqrt(48)\/sqrt(4))).\nAnswer: 16*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.2 and -374456677.19.\nAnswer: -374456676.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -7538 divided by -2534?\nAnswer: 3769\/1267","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) be the third derivative of -h**4\/6 + 2*h**3\/3 + 40*h**2. Let k(u) = -u + 1. Determine 7*k(p) - 2*x(p).\nAnswer: p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -u - 1. Let y(i) = 2*i**2 - 5. Let c(w) = -2*m(w) + y(w). Let p(b) = -b**3 + 4*b - 3. Let v be p(2). What is the units digit of c(v)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -1 + 9*k + 4 - 2 - 3. Let g(s) = -3*s**2. Determine m(g(b)).\nAnswer: -27*b**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -78, 1999, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Are -61\/84696 and -1 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that -4*t**5 - 236*t**4 - 3980*t**3 - 13636*t**2 + 15984*t + 58320 = 0.\nAnswer: -27, -5, -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4 + 6. Let r(h) = 15*h. Let y(w) = -5*w. Let j(s) = g*y(s) + 3*r(s). Let v(z) = z**2. Give j(v(q)).\nAnswer: -5*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 2*a**2 + 2*a + 1. Let m(j) be the second derivative of j**3\/2 + 19*j**2\/2 - 62*j. Let z be m(-7). Give x(z).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ym when two letters picked without replacement from {y: 10, m: 2}.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = w + 4*s - 964, 225 = w + 5*s. Calculate the greatest common divisor of w and 35.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 296 + -128. Let o be (-6)\/((-7)\/(k\/(-9))). Sort o, -3, 5 in decreasing order.\nAnswer: 5, -3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 609 and 16948064.\nAnswer: 203","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10464*m - 6881 = 9965*m - 44306 for m.\nAnswer: -75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = 4*h + 5*z + 2, -2*z = -h + 8 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 33\/32984 and 47\/56?\nAnswer: 32984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -160*r - 209. Let u be c(-6). Suppose 4*t = 2*m + u - 4005, -2*m - 3*t = -3289. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 112 (base 8) to base 9\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 149*s**2 - 1. Let u be n(-1). Suppose -160 = -4*j + u. What are the prime factors of j?\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1770\/(-12)*(-8)\/10. Suppose -4*b + s = -74. Is b a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 60 - 53 - (1 - 0).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 3, k: 8, t: 7}. What is prob of picking 2 t?\nAnswer: 7\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -5*x**2 - 5*x + 3. Let r(o) = o**2 - 11*o + 5. Let g be r(11). Let z(d) = 9*d**2 + 9*d - 5. Let l(w) = g*m(w) + 3*z(w). Let l(a) = 0. Calculate a.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1141 is divided by 25?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 6615595367 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 13626.0028214 - 13626. What is u rounded to 4 decimal places?\nAnswer: 0.0028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 432 - 1055. Let w = t + 1191. List the prime factors of w.\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 15515*n - 15516*n + 7. Solve 5*o - n*d - 19 = -8*d, 12 = 3*d for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 143303 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 5*v**3 - 4*v**2 + 5*v. Let r be d(6). Suppose -5*j = 3*g - 707, -2*j + r = 2*g + 2*g. Suppose -g = 251*n - 255*n. What is the tens digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = c**2 + 6*c + 5. Let y be -75*506\/(-805) + 1\/(-7). Let s = -6 - -8. Suppose -s*i - y = -35. Calculate k(i).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*g + 29 = -31 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-25)\/((-1875)\/1210) + -14. Let q(w) be the first derivative of 11 - 9\/4*w**4 - 2\/5*w**2 + 81\/25*w**5 - j*w**3 + 0*w. Factor q(k).\nAnswer: k*(k - 1)*(9*k + 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 5 and 1672.\nAnswer: 8360","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that -4*g**3 - 1200*g**2 - 94608*g - 682112 = 0.\nAnswer: -146, -8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = v - m + 6, 285*v - 6*m = 280*v - 35 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -6*(2 + -6*32\/36). Suppose -t + 10 = -6*t, -4*d + g = -2*t. What are the prime factors of 20 - (d\/(-8))\/((-2)\/(-8))?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 346163?\nAnswer: 41, 8443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k + 5*k = -4*o + 447, -o + 109 = 4*k. List the prime factors of o.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 719\/40 - (-530)\/21200.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in 2\/7, 3, -1, 6?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1 + 3. Solve j - o*g = -1, -5*j + 16 = g - 1 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 14, 18, 20, 20, 18?\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 9*z + 49. Determine k(-9).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = 4*q - 15. Let t(s) = 7 + 21*s**2 + 17*s**2 - 39*s**2 + 9*s. Is t(q) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*d + 12*d = -2*a - 48, -15 = 5*a. Let n(j) = -j**3 - 15*j**2 - 12*j + 36. Let u be n(d). Solve -t + 2*t = -b + 5, 4*t - u = -b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(1 + -4 + (sqrt(18)\/sqrt(9))**2).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 95274 and 6566?\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f\/f**1)**(-18)*f\/f**(-10)*(f*f**7\/f)\/f assuming f is positive.\nAnswer: 1\/f","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/7 - (-838)\/7. Let c(q) = q**2 - 12*q - 5. Let r be c(14). Suppose 5*x - 52 - r = 0. What is the highest common divisor of j and x?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbeebe. Give prob of sequence bb.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 119013 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -192*t**2 + 1981*t - 669. What is i(10)?\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*d - 5*d = -808. Let t = 514 + d. Is t a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -q**2 - 7*q. Let b be f(-7). Sort 1, 5, b, 2 in descending order.\nAnswer: 5, 2, 1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -16\/9063 and 85\/31752.\nAnswer: 31974264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) be the third derivative of d**5\/60 + d**4\/24 + 2*d**3\/3 + 3*d**2. Let s be p(-3). Let m = -182 + 262. Calculate the highest common divisor of m and s.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5.036 - -0.036. Let c = 2341.06 - 2341. Sort u, c, 3 in descending order.\nAnswer: 3, c, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 5 + 0 = -c, 18 = 2*k - 4*c. Let u be -3*(3\/(-9))\/k. Solve 5*o + 19 - u = -4*z, z - 8 = 5*o for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + (56 - 111) - (1 + 4)?\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t - 7*f = 1, -9 = -8*t - 7*t + 12*t - f for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (578\/255)\/(-34)*-9*2\/(-2).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 2*f + 7. Let w(s) = -s - 2. Let v be w(-4). Let d(i) = 0 - 11 - 4*i + v - 4. Suppose -5*x + 5*p - 53 = 12, -61 = 5*x - 3*p. Give x*n(q) - 6*d(q).\nAnswer: 2*q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 7526*z + 43088 with respect to z.\nAnswer: 7526","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2476)\/46)\/(-1) + (-32796)\/(-188577).\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**15\/t**10)\/(t**(-2\/21))**(-28) assuming t is positive.\nAnswer: t**(7\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 19*p**3 - 13*p**2 + 13*p - 6. Let w(t) = -9*t**3 + 3*t**2 - 3*t. Let q(v) = -v**2 + v - 1. Let k(i) = -3*q(i) + w(i). What is 6*b(r) + 13*k(r)?\nAnswer: -3*r**3 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + -27 - (-19 + 15 + (0 - 5)).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:05 PM and 5:27 PM?\nAnswer: 322","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -266 + 285. Suppose a = -7*x + 33. Suppose 5*j + 3*k - 35 = 0, -3*k + 8 = 3*j - 7. Solve 4*f - j = x*f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 6 from -19724480190.745.\nAnswer: -19724480196.745","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand m**3 + 3*m**3 - 2*m**3 + (-16 + 16 + 3*m)*(0 - m**2 + 0).\nAnswer: -m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1100 - 110110111011111?\nAnswer: -110110111010011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2 and 50?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 b when two letters picked without replacement from {k: 2, b: 5, t: 7}.\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -r**2 + 5*r - 16. Let a(f) = -2*f**2 + 11*f - 31. Let p(i) = -4*a(i) + 7*t(i). Let j be p(8). Let s(m) = 10*m - 3 - 3*m - j*m - 5*m. Give s(6).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.31 + -0.24. Let d = f - -0.93. Let v be ((-308)\/(-462))\/(0 + -4). What is the second smallest value in -7, v, d?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -8640, -8398, -7710, -6342, -4060, -630, 4182, 10610?\n\"Answer: 39*s**3 - 11*s**2 + 2*s - 8670","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2845956.\nAnswer: 2, 3, 237163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 125 is divided by 44?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.894253 minutes in milliseconds?\nAnswer: 113655.18","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 975488 to the nearest integer?\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 1 - j)*(5 + 2 - 5)*(3*j - 4*j + 0*j) + 7*j**2 - 7*j**2 - 25*j**2 to the form x + f*j**2 + l*j and give f.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) be the first derivative of o**3\/6 - 3*o**2\/4 + 2. Suppose z(b) = 0. What is b?\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-42)\/(-5))\/(10\/25). Let d = h + -13. What is the units digit of d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -9 - -9. Let q(k) = -8*k**2 + 7 + 4*k**2 - 1. Let h(f) = 5*f**2 - 7. Let x(m) = -3*h(m) - 4*q(m). What is x(v)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = x**3 + 9*x**2 + 9*x - 25. Let v be m(-7). Suppose -36*t + v*t + 159146 = 0. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 392\/(-1372) - (79\/(-105) + (-19)\/57).\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 14286 from -3335.5.\nAnswer: -17621.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 459533339 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2818200 divided by 187880.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2285 + 769 + o - 510 + 958.\nAnswer: o + 3502","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 552322483 a multiple of 2393?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put together 698397 and -130503862.\nAnswer: -129805465","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -206, -1042, -1878, -2714?\n\"Answer: -836*w + 630","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q + 11 = 2*y, 0*y + 3*q - 21 = 3*y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 508 - 358 - (31 - -38).\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 31103320 (base 8) to base 11.\nAnswer: 379a823","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.1 - -0.205. Round c to two decimal places.\nAnswer: 0.31","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 217*w + 1090. Let c be k(-5). Let b(t) = -19*t - 19*t + 2 + 41*t - t**2. Give b(c).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) be the first derivative of 1 + 0*v - 2\/33*v**3 + 7\/11*v**2. Factor g(c).\nAnswer: -2*c*(c - 7)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/(-30))\/((-1)\/3)*-10?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 1696*s + 1672*s + 3*s**2 - 126 + 2*s**3 - 2*s**2 - 3*s**4 - 3365*s as z + q*s**4 + g*s**2 + r*s**3 + x*s and give q.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from txxtttt. Give prob of sequence txxt.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k - 4*x = 128, 241*x - 243*x - 98 = -22*k - 34 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by -1990?\nAnswer: 1\/398","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 396, 394, 392, 390, 388?\nAnswer: 386","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 58 - 43. Let n be (-100)\/o*(0 - -6). Let p be (-3685)\/n - (-2)\/(-16). What is the greatest common factor of 23 and p?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -94.4 + 99.4. Let n = 853\/1148 + 2\/287. What is the biggest value in n, b, 0.5?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = -3*u + 19, -2*g = -5*u + 4 + 15. Solve -4 - 8 = u*n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/(-26) + (-940)\/130 + 5\/(-5)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 2*h = -361 + 4253, 0 = 3*o - 5*h - 2926. What is the greatest common factor of o and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 9096661?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000412506 rounded to 7 dps?\nAnswer: -0.0000413","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -n**3 - 10*n**2 + 24*n + 6. Let i(p) = -3*p**3 - 19*p**2 + 50*p + 14. Let q(z) = -2*i(z) + 5*x(z). What is q(10)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 134.14 - 134.17. Put 4, v, 3, 37 in decreasing order.\nAnswer: 37, 4, 3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -404*y + 857 + 1163 = 0 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of n**2*t**3 - 549*n**2*t - 135*t**3 wrt t.\nAnswer: 6*n**2*t - 810*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + 2 + (sqrt(152) + (sqrt(152) - (3*sqrt(152)*3 + sqrt(152))) - sqrt(152))\/(sqrt(8) - (sqrt(40)\/(sqrt(25)\/sqrt(5)) - sqrt(8))).\nAnswer: -9*sqrt(19) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (5 + (-42)\/12)*(-10)\/(-3). Suppose 22*i + 2 = 23*i + a*w, i - 14 = -w. Calculate the remainder when 53 is divided by i.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*j = 13*j - 9*j + 20 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -g**3 + 2*g**2 + 31*g + 3. Calculate q(6).\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -12015 equal to -12014?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -790 = -3*r + 5*v, -3*v + 552 = -4*r + 6*r. Is r a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (3\/(-2))\/(3\/4). Is 16 a factor of (-2)\/w - -1 - -30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 98, 90, 78, 62, 42, 18?\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 112212 divided by 27.\nAnswer: 4156","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.7 less than -91?\nAnswer: -88.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -i**3 + 40*i**2 - 76*i + 6. Let j be d(38). Let t(u) = 425*u**2 - 5*u + 89. Is t(j) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fp when two letters picked without replacement from rnsippf?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -12, 0.2, 9908?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 3 + 1)*(-73*b + 119*b + 53*b) + 21*b - 86 + 86.\nAnswer: -78*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 2*b - 145 = -5*z, 25 = 5*b. Let v = -7 + z. Suppose 0*c = c - v. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-1\/2)\/c**(-2\/9))\/((c*c\/(c**(1\/3)*c)*c)\/c*c)**(-1\/25))\/(c**(1\/5)\/c**(-2)*c**(-1\/2)\/((c*c*c**6)\/c)) assuming c is positive.\nAnswer: c**(229\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 213 is divided by 66?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000002317 to 7 decimal places.\nAnswer: -0.0000023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*z + 2*z + 6, 3*n - 27 = 5*z. Is n a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from llwgo. What is prob of picking 1 w, 2 l, and 1 g?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 110*s + 60 = 122*s. Solve 35 = 5*b - 5*a + 5, s*a + 27 = 4*b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let g = 4.58 + 0.32. Let p = g - 5. Suppose 4 = -3*j - 5*d - 0, 0 = 5*j - 3*d - 16. Sort p, 0.3, j in ascending order.\nAnswer: p, 0.3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 159*k**2 - 83*k**2 - 78*k**2.\nAnswer: -2*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 165 is divided by 88?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.197 - -0.126. Let d = 0.129 - q. Let h = -1 - -1.3. Which is the closest to 0.1? (a) h (b) 0.4 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 26, -88, -6 in descending order.\nAnswer: 26, -6, -88","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by 118?\nAnswer: -5\/118","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 3, q: 13}. What is prob of picking 1 l and 3 q?\nAnswer: 33\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3\/(-3) - -2 - 2. Let b be 5\/((-15)\/6)*m. Solve 0 = -5*r - b - 3 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3147011 + 50*z + 100*z - 3146912.\nAnswer: 150*z + 99","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 634.5852583 rounded to the nearest one hundred?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -i*r**2 - i + 19*r**3 + 7*r + 37 with respect to r.\nAnswer: -2*i*r + 57*r**2 + 7","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -101\/54096 and -53\/96726.\nAnswer: 17797584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/(-10))\/(16 - 13)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 54929 + -54921. Factor 58\/7 + r*q - 2\/7*q**2.\nAnswer: -2*(q - 29)*(q + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 34 + -31. Suppose 3*w = 3*p - 9, z*p - 2*w = -p + 16. Suppose 44 = -q + p*q. Calculate the remainder when 20 is divided by q.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 6, 0.3, 9, -0.5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.1 + -0.4. Let c = -650 - -633.82. Let b = 16.2 + c. What is the closest to -2\/3 in -1\/2, y, b?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-4 + -1 + ((2 + sqrt(2057))*6 - sqrt(2057)) + 2 + sqrt(2057)*2)**2*-5*-3.\nAnswer: -9078660 - 124740*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 10, d: 1, o: 3, z: 2}. What is prob of picking 2 r and 1 d?\nAnswer: 9\/112","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -1066*j**2 + 6264*j - 1. Let n(v) = -4*v**2 + 15*v - 1. Let g(d) = n(d) - q(d). What is the second derivative of g(z) wrt z?\nAnswer: 2124","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -13*b**2 + 9*b - 9. Let d(k) = -3*k**2 + 2*k - 2. Let r(q) = -9*d(q) + 2*l(q). Let y(s) = -10*s - 2*s + 3*s. Calculate r(y(j)).\nAnswer: 81*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 3 + 127*f**2 + 19 + 27 + 7 - 123*f**2.\nAnswer: 4*f**2 + 57","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 + 34\/(-4) + 2*105\/84.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 118, 371, 728, 1183, 1730, 2363?\nAnswer: 3076","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u**5\/3 - 97712*u**4\/3 + 130290*u**3 + 195420*u**2 - 1172583*u + 879444 = 0. What is u?\nAnswer: -97716, -3, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6717 = 26*y - 8121 for y.\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -5*3*(-7 - 52\/(-20)). Let z = f + -64. Let c(u) = -u - 8*u**2 + 8*u**z - u**3 + 9*u**2 + 4 + 4. Give c(9).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o**(-1\/4)*o)\/(o**(-2\/17)\/o)*o*(o\/o**2)\/o*o**(-2\/15))**(1\/18) assuming o is positive.\nAnswer: o**(1769\/18360)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 114404.2us?\nAnswer: 0.1144042","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 656822 to the power of 1\/2, to the nearest integer?\nAnswer: 810","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -335.15 to the nearest ten.\nAnswer: -340","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/3 - 5\/(-3).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oxcpp. What is prob of picking 1 p and 1 c?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -21212020 (base 3) to base 8\nAnswer: -13142","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = v. Let y(c) = 95*c**3 + 33*c + 2. Let a(z) = -6*n(z) - y(z). Find the second derivative of a(d) wrt d.\nAnswer: -570*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express i + 0*i + i + (0 + 0 - i)*(-4 + 3 + 2) - 119 + 92*i + 119 + 14*i - 72 + 72 as o + c*i and give c.\nAnswer: 107","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 0\/((1 - 0) + 0). Let z = 2 + b. Find the third derivative of -2*k**2 + 3*k**z - k**6 - 3*k**2 wrt k.\nAnswer: -120*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*-3550.\nAnswer: -7100","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (sqrt(1088) - (sqrt(1088) + 0 + sqrt(1088))) + sqrt(1088))**2.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*i - 532 = -5*d - 8*i, -3*d + 3*i = -315. Let a(j) = j + 6. Let s be a(-6). Suppose s = -v - 0*v + d. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -15*r**5 - 19*r**5 + 39*r**5 + (2*r**2 - r**2 - 2*r**2 + 3*r**4)*(0*r - 1 + 0 + r).\nAnswer: 8*r**5 - 3*r**4 - r**3 + r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 324302?\nAnswer: 2, 11, 14741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -41*w + 2. Let a be k(4). Let u = -34 - a. Suppose -u - 72 = -4*p. What are the prime factors of p?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2721 = 5*g - 11*t + 2729, 0 = 4*g + t + 26 for g.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -173 (base 11) to base 16\nAnswer: -c9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -254082*0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6 + 11. Let b = -4 + y. Let u = 12 - 206\/17. Sort b, u, -2\/5.\nAnswer: -2\/5, u, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) be the first derivative of 5*y**4\/4 + y**3 - 3*y**2\/2 + y - 3. Is 19 a factor of u(2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 20 and 90?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -o**3 + 14*o**2 + 91*o - 305. Let y be z(18). Is y at most 537\/14?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) -274\/873 (b) -1\/2 (c) -1\/101 (d) 2 (e) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = g + 4*b, -3*b + 32 = -4*g + 9. Let m = g - -3. Put 15, m, -1 in decreasing order.\nAnswer: 15, m, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-14)\/(-119) - 6044\/(-68)?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -359.7922784 rounded to two decimal places?\nAnswer: -359.79","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 299 a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00365617512 to three decimal places.\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*i - j - 21, -25 - 7 = -3*i + j. Suppose o - 5 = -i. Let m(v) = 4*v - 1. Let g(z) = 3*z - 1. Determine o*g(u) + 4*m(u).\nAnswer: -2*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -f**3 - 12*f**2 + f - 13. Let m be x(-12). Let i be m\/42 - (8 + -10). Let g = 2\/21 + i. Which is bigger: g or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3 and 496\/6*(-18 - -39)?\nAnswer: 5208","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**16\/g)**36 assuming g is positive.\nAnswer: g**540","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 220*l**2 - 222*l**2 + 11487 - 11487.\nAnswer: -2*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) be the third derivative of w**5\/60 - 17*w**4\/24 - 55*w**3\/6 + 2*w**2 + 7*w - 277. Calculate s(19).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 68757*d + 27448*d - 3.\nAnswer: -41309*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 110011100001010 (base 2) in base 5?\nAnswer: 1321003","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:36 AM and 1:24 PM?\nAnswer: 408","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 85166?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*i**3 - 6*i - 5*i**3 + 5*i + i.\nAnswer: -10*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 3*w + 1. Let d(q) = 2*q - 1. Let n(g) = g. Let o(i) = -d(i) + 4*n(i). Let t(c) = c**3 + c**2 - 56*c - 4. Let m be t(-8). Give m*y(s) + 5*o(s).\nAnswer: -2*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 23\/16313124 and -6\/235180871.\nAnswer: 2822170452","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 2 + 1)*(18*t**2 - 54*t**2 - 32*t**2).\nAnswer: 68*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 42054026 and 378486234?\nAnswer: 378486234","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11875415?\nAnswer: 5, 67, 35449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 59*s = 5*q + 64*s + 25, 3*s = -5*q - 15. What is the second smallest value in q, -2\/17, -12?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -n**2 - n - 1. Let a be 4\/(-14) - (-103)\/(-7). Let i(b) = -6*b**2 - 5*b - 4. Let o(x) = a*q(x) + 3*i(x). Find the first derivative of o(d) wrt d.\nAnswer: -6*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -8 - -12. Suppose 2*y + 2 = w + k*w, -2*y + 2 = -3*w. Is y even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*j**2 + 2*j**2 + 8*j**2 + 3*j**2.\nAnswer: 3*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) be the second derivative of -13 - 12\/5*n**6 - n - 43\/2*n**2 + 0*n**5 + 0*n**4 + 0*n**3. What is the first derivative of r(q) wrt q?\nAnswer: -288*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 181\/7602480 and 67\/844720.\nAnswer: 7602480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-44)\/((-5)\/(50\/22) + (-1602)\/(-890)).\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -10*q**2 + 55*q. Let d(m) = m**2 - 6*m. Let g(b) = 55*d(b) + 6*s(b). Let v(k) be the third derivative of k**4\/12 + 3*k**2. Calculate g(v(z)).\nAnswer: -20*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 166321 (base 12) to base 2.\nAnswer: 1011101110001001001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-16)\/(-4)*(-22)\/(-616)*133.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26745415.\nAnswer: 5, 5349083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 1\/69, -2\/3, 5 in increasing order.\nAnswer: -2\/3, 1\/69, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 44461 and 692?\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 7 - 1 = 0. Calculate the highest common divisor of 6 and a.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -1913*d + 3946. Let r be y(2). Suppose -3*g = 4*s - 0*g - 9, 2*g = -10. Suppose -s*z = -z - 150. Calculate the greatest common factor of r and z.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 21428 - 21443.731. Round u to the nearest integer.\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 202115?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -v**3 + 7*v**2 - v + 11. Let t be g(7). Suppose 0 = -4*b - 0 + 8. Let l(i) = i - b - 2*i + 4*i**2 - i**3 + 5. Determine l(t).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 92 - 377 = -19*y. Let x = 26 - y. Calculate the remainder when 63 + 2 + (1 - 3) is divided by x.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) be the first derivative of s**7\/252 - s**6\/60 - s**5\/24 + s**4\/24 + s**3\/9 - 17*s + 64. Let t(w) be the first derivative of l(w). Factor t(f).\nAnswer: f*(f - 4)*(f - 1)*(f + 1)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + s - 2)*(-6 + 90*s + 16 - 89*s).\nAnswer: s**2 + 10*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.075992 and 22831.\nAnswer: 22831.075992","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 9 + -4. Suppose 0 = -d*h + 39 - 9. Let k be (h\/(-4))\/((-5)\/130). Calculate the highest common divisor of k and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -z**3 - 7*z**2 - 6*z + 8. Let u(k) = -k**2 + 4*k - 9. Let i be u(3). Determine s(i).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((-5 + (sqrt(1700)*1 + sqrt(1700) + sqrt(1700) - sqrt(1700)))**2 + 3) + 3.\nAnswer: -400*sqrt(17) + 13659","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 119 - 14 - 105 - 3660*r.\nAnswer: -3660*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 12451 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f and 2 y when four letters picked without replacement from fyyyfyfyyyffyfyyyyf.\nAnswer: 231\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 66327014?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -j**2 + 3*j**3 - 3*j - 6*j**2 + 4*j - 5*j**3 to k*j**3 + g*j + n*j**2 + q and give n.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (13\/52)\/((-7)\/8). Which is the nearest to 1? (a) 0.3 (b) 0.2 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -20 + 28. Calculate the remainder when z is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -176.6 - 54.4. Let j = 231.1 + t. What is the second biggest value in 3, j, 11?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 2*p**2 + 8*p - 50. What is the remainder when 114 is divided by q(5)?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -347194 - -729491. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z*z**8*z)\/((z**(-4)*z)\/z))\/((((z\/(z**(2\/5)*z))\/z)\/z)\/z**(-5))*z*z*z*z*z**(-1\/4)*z*z**(3\/7)\/z*(z**1)**19 assuming z is positive.\nAnswer: z**(4981\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -10*n - 7. Let y be z(-1). Which is the nearest to 0? (a) y (b) -0.5 (c) 4 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -16.686 and 104?\nAnswer: -1735.344","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3123?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = i**2 + 8*i + 9. Let y be (-20)\/(-40)*(-15 - -1). Let j be c(y). Suppose 0 = j*g - 14 - 176. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 22 (base 11) to base 2\nAnswer: 11000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -267*m - 527*m - 2001*m + 474*m.\nAnswer: -2321*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 812 and 4901?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 10, l: 2}. Give prob of picking 4 p.\nAnswer: 14\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 29\/4 of a tonne in kilograms?\nAnswer: 7250","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let z = -1802 + 1801. Are z and -414 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -f**3 + 17*f**2 + 18*f + 4. Let i be d(18). Suppose -3*g - 11 = -i*g. Calculate the remainder when 30 is divided by g.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16897944379 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -7.6 - -8. Suppose -2*n - 4 = -10. Suppose 2*b - 5*r - 2 = -19, 0 = n*b + 5*r - 12. Which is smaller: b or a?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2 - 75 - 0) + -1. Let n = -14 - o. Suppose -n - 11 = -5*q. Calculate the remainder when 57 is divided by q.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -202, 2, -106 in decreasing order.\nAnswer: 2, -106, -202","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) 0.1 (b) -429 (c) -25\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*n**5 + 25128*n**4 + 75408*n**3 + 25146*n**2 - 75405*n - 50274 = 0. Calculate n.\nAnswer: -2, -1, 1, 8379","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 632697?\nAnswer: 3, 13, 16223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6225 - 6202. Let o = 54 - 30. Suppose -2*i + o = 2*i. What is the remainder when p is divided by i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*q**4\/7 + 536*q**3\/7 - 26*q**2\/7 - 992*q + 6432\/7 = 0. Calculate q.\nAnswer: -268, -4, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - (-2 + (-2 - 1))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -i - 12*b + 7*b + 28, 2 = -i + b. Solve -2*n - 4*a + 2 = 0, -13 = 5*n - 5*a - i for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 36\/(-234) - ((-1407)\/(-39))\/(-7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 4, w: 12, o: 4}. What is prob of sequence www?\nAnswer: 11\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1852\/3 > 617?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -64402*b**2 + 148 + 64403*b**2 - 8*b + 8*b.\nAnswer: b**2 + 148","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -3456, -6913, -10370, -13827, -17284, -20741?\n\"Answer: -3457*b + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/8*(-416)\/468?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 25 = 2*b. Suppose -o - 3*f = f + 13, -2*o = 4*f + 10. Let g be -1*(-4 + o + 0). Put b, g, 2 in increasing order.\nAnswer: b, g, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 2*a**3 + 2*a**2 - 2*a. Let w(b) = -2*b**3 - 3*b**2 + 2*b - 1. Let d be (88\/66)\/(-4*1\/(-6)). What is d*w(n) + 3*q(n)?\nAnswer: 2*n**3 - 2*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 19 + -2 + -3 + -4 + 6. Is 17 > t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -19 - 959b?\nAnswer: -95b6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, 4, 0.\nAnswer: -8, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.85 + 0.15. Sort 0.2, -0.5, h in descending order.\nAnswer: h, 0.2, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*r + r = 0. Let m be -4*1\/(r + -1). Put -2, 0, m in increasing order.\nAnswer: -2, 0, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 738.91 + -639.983. Let k = -99 + a. What is k rounded to 2 decimal places?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*v**3*x - 51231371*v**2*x + 6068458*v*x + v + 1 wrt v?\nAnswer: 12*v*x - 102462742*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -520*a**2 + 3*a**3 - 2*a**3 - 7*a**3 + 5*a**3.\nAnswer: -a**3 - 520*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -3860 < -3238?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -w - 5*u + 101 - 135, 22 = w - 3*u for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ddaasdaddsbbahba. Give prob of picking 1 b and 1 h.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 10, 3, 26, 9, -1.\nAnswer: -1, 2, 3, 9, 10, 26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1094, 1096, 1098, 1100, 1102, 1104?\nAnswer: 1106","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 3193079\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in 1\/19, -1\/2, -0.1129?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 144 and 582030.\nAnswer: 4656240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5054?\nAnswer: 2, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s**2 + 500*s - 6720 = 0. Calculate s.\nAnswer: -112, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from djjjjdddjjdjdjdjdjdd. What is prob of sequence jj?\nAnswer: 9\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y = -2*f + 155 - 151, 5*f + 2*y - 34 = 0 for f.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 15175 times -6\nAnswer: -91050","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 5312678 to the power of 1\/3, to the nearest integer?\nAnswer: 174","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.3 + 0.3792.\nAnswer: 0.0792","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:50 AM and 5:57 PM?\nAnswer: 667","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2103616780?\nAnswer: 2, 5, 105180839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 6 - 15 = 0. Solve 0 = 5*f + y*i - 11, 2*f - 6*f - 5*i = -1 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:59 AM and 9:01 PM?\nAnswer: 662","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -140\/11? (a) -0.1 (b) 4 (c) -0.3 (d) -11\/2 (e) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 58212386, 116424777, 174637170, 232849565, 291061962, 349274361, 407486762?\nAnswer: 465699165","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -482 or -467?\nAnswer: -482","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 610717205 and 3535.\nAnswer: 3535","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ziiziyiziiiiiiyiizzi. Give prob of sequence zyi.\nAnswer: 13\/684","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 29*u**2 + 8*u - 10. Let b be (5 + -2)\/(3\/(-9)). Is z(b) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) be the second derivative of -n**5\/30 + n**4\/8 + n**3\/2 + n**2 - n. Let r(v) be the first derivative of c(v). What is r(3)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8.22, 0.4, -1, -0.2, 2 in increasing order.\nAnswer: -8.22, -1, -0.2, 0.4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 5*r - 2*o - o, -3*r = -4*o - 8. Let d be 1 + (-1)\/(-2)*4 + 33. Let y = 39 - d. Sort 5, r, y, -5.\nAnswer: -5, r, y, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.102282*-14\nAnswer: 1.431948","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(340)\/(sqrt(20)\/sqrt(2) + sqrt(10)))\/((sqrt(14) + sqrt(84)\/sqrt(6))\/sqrt(7)).\nAnswer: 3*sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(63)*1*2)\/(-2*sqrt(81)) - (sqrt(14)*-1*4)\/(((sqrt(8) + sqrt(32)\/sqrt(4))\/sqrt(4) - sqrt(2)) + sqrt(2)).\nAnswer: 5*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 14*j. Let b(c) = 36*c - 1. What is v(b(h))?\nAnswer: 504*h - 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2045 = -19*y - 1798. What is the remainder when 1140 is divided by y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t\/((t*t**(-21))\/t)*t*t)\/t**(-26))\/(t**(3\/14)\/t**(-2\/49)))**(-28) assuming t is positive.\nAnswer: t**(-9750\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k + 4*n = 23, 4*k - 94 = 3*n - 80 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 4*k - 3*k - 5*k + 2*k + 17*k**2 + 1. Suppose -4*d + 3 = -d. List the prime factors of x(d).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) be the first derivative of -k**4\/4 - 2*k**3 - 7*k**2\/2 - 7*k - 5. Is u(-7) 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 493, 990, 1485, 1978?\n\"Answer: -q**2 + 500*q - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 2*i - 6 = 0. Suppose i*m = 387 - 90. Let r(g) = -g**3 + g**2 + 2*g + 3. Let y be r(-2). What is the highest common divisor of y and m?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11452272 a multiple of 312?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = -5*g - 50. Let s(p) = p + 29. Let v be s(g). What is the second derivative of v*k - 9*k**4 - 13*k - 5*k wrt k?\nAnswer: -108*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -u**3 - 30*u**2 + 25*u - 184. Let p be d(-31). Suppose 4*r + 14 = 5*r. Solve t = -4*g - 21, p*t - 3*g = t + r for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10 + 1111000?\nAnswer: 1111010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -44*q + 550. Does 4 divide m(-29)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-32)\/(8\/2))\/(4\/2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2258.\nAnswer: 2, 1129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 13*y - 18*y = -190, -a = y - 194. What is the remainder when a is divided by 65?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2050581763 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 21*n - 14. Is y(11) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 100102 (base 4) in base 7?\nAnswer: 3016","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 w when four letters picked without replacement from {w: 6, g: 6}.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (22\/110)\/((-6)\/(-20))?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-5\/2)*j**(2\/7))**9*j*j\/((j\/(j**3*j))\/j)*j\/(j\/(j**(-5)*j*j*j*j))*(j\/(j**(-2\/3)\/j))\/(j\/j**(-2)*j*j) assuming j is positive.\nAnswer: j**(-725\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 16 + (34 - -27) - (24 - 4)?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -335.375 + 335.691334. Let r = q - 0.316. Round r to 5 decimal places.\nAnswer: 0.00033","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -12*x - 4. Let n(j) = -87*j - 30. Let y(o) = -45*l(o) + 6*n(o). Let t(v) = -16*v. What is y(t(a))?\nAnswer: -288*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 6735*z - 107905. What is u(16)?\nAnswer: -145","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -758*r + 753*r - 4490 = 0. Let a = 1652 + r. What is the tens digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ojzz. What is prob of sequence ozjz?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 15*t**2 + 9*t + 22. Let q(w) = 14*w**2 + 10*w + 18. Calculate -4*m(o) + 5*q(o).\nAnswer: 10*o**2 + 14*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -t**3 - 155*t**2 - 751*t - 123. Give g(-150).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.845 - 0.8. Let v = -442 + 442.2. Which is greater: j or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 v and 1 m when four letters picked without replacement from {v: 3, m: 15}.\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000141454 to three dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -6*l - 6. Let p(q) = 5*q + 5. Let n be (-1)\/(-5) + (-252)\/35. Calculate n*p(t) - 6*i(t).\nAnswer: t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 557 minutes after 3:57 AM?\nAnswer: 1:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5 + 6. Do 0.04 and g have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 7 = -4*m, 5*m + 0*d + 30 = -4*d. Let y(t) = -15*t - 3. What is the remainder when 105 is divided by y(m)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 16841?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -1196 + 52\nAnswer: -1144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Add together -25143 and -23756025.49.\nAnswer: -23781168.49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -2*t - 3*t, 2*s - 98 = -2*t. Suppose 0 = -41*h + s*h - 1416. Does 27 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -c**3 + 20*c**2 - 6*c - 14. Let a(w) = -2*w + 11*w**3 + 28 - 41*w**2 - 3*w - 9*w**3 + 7*w + 9*w. Let h(p) = -6*a(p) - 13*x(p). Give h(13).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2076*j - 795*j + 362024 = -1787*j for j.\nAnswer: -118","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 3 + 0)*(2*f + 0*f + 0*f + (-3*f + 3*f - 2*f)*(0 + 2 - 14)).\nAnswer: -182*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 7610 divided by -10?\nAnswer: -761","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ooojjjjjjooj. What is prob of picking 3 o and 1 j?\nAnswer: 14\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1, -4, 21, 3\/7, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 65\/29148 and -137\/25200.\nAnswer: 8744400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1475635?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1\/51 + -113\/561. Let c = -4 - 1. Put l, 2\/9, c in ascending order.\nAnswer: c, l, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(21)*-1 - sqrt(21))\/sqrt(3) + 4)**2 + -4*2*sqrt(7)*4.\nAnswer: -48*sqrt(7) + 44","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*b - 44 + 85 + 152 to s + v*b and give s.\nAnswer: 193","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -250 less than or equal to -251?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sjs when three letters picked without replacement from jjjsjsjjjssjjj.\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*i**2 - i - 23*i + 2*i**2 - 18*i**2 + i**2.\nAnswer: -2*i**2 - 24*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 436894794 divided by 9\nAnswer: 48543866","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -47*d**3 + 3*d + 62. What are the prime factors of n(-4)?\nAnswer: 2, 11, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8556161?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 50 + (31 - 50) + (1 - 4).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -b (base 14) in base 16?\nAnswer: -b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 2*h**3 - 7*h**2 - 7. Suppose 24*c = 41 + 127. Let u(i) = -i**3 + 6*i**2 + 6. Determine c*u(b) + 6*v(b).\nAnswer: 5*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -7 or 57.55?\nAnswer: 57.55","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -115 or -123?\nAnswer: -115","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -3, 1, -0.2, -127, -2, 7394, -5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*h - 4*s + 16, 4*s + 1 = -h + 2. Let w = 9 - h. Let l = -1 + w. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) be the second derivative of 0 + 1\/14*b**7 + 4*b + 2\/5*b**6 + 1\/2*b**3 + 9\/10*b**5 + 0*b**2 + b**4. Factor g(d).\nAnswer: 3*d*(d + 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -1285\/128 and -11 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/(17 - 11)*(-3 - -9). Solve d*n + 14 = 9*x - 5*x, 4*n + x = 8 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a*a*a**(2\/7)*a**(-3\/4)*a)\/(a*a**(-1)*a)**(-1\/74))**(-15))**(-2\/11) assuming a is positive.\nAnswer: a**(39615\/5698)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 0.29, -5, -2\/4995, 1\/2.\nAnswer: -5, -2\/4995, 0.29, 1\/2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 4*t = -858. Suppose -10*q = -2*u - 13*q + 90, u - 55 = -4*q. Calculate the greatest common factor of t and u.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 41, 53, 79, 125, 197, 301, 443?\nAnswer: 629","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - 1) + 2 + 13 + -7.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 13*y - 4. Give q(-3).\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nwlooweg. What is prob of sequence nwl?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 8559485 and 50.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -4 (b) -0.01 (c) 1\/315 (d) -5 (e) 19 (f) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = 8*h - 2. Suppose 3 = a - 2*j, a - 1 = 4*j + h. Solve v = r - a - 2, -v = 2*r - 12 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 127377788 is divided by 2165.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(17) + 3) + 1.\nAnswer: 16 + 5*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.154 - 9.154. Let r be 4\/(-12) - (0 - -1). Let z = -1 - r. Which is the nearest to q? (a) 2 (b) z (c) -3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -1\/377970 and -31\/1700865.\nAnswer: 3401730","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 30657?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -69 divided by 27\nAnswer: -23\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1631573653 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 47 + -22. Let d = 29.8 - a. Let l = d - 0.1. Round l to zero decimal places.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5\/22 + -3\/11. Put 2, t, 1\/2, 0.3 in decreasing order.\nAnswer: 2, 1\/2, 0.3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f*f**(-4\/17)\/f*f**(4\/5)*f**11\/((f**(-1\/8)*f)\/f) assuming f is positive.\nAnswer: f**(7949\/680)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a when two letters picked without replacement from aafwawwwfwwafg?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9709 is divided by 423.\nAnswer: 403","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -368, -470, -654, -962, -1436, -2118, -3050, -4274?\nAnswer: -5832","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.1 (b) -116 (c) 0.4 (d) -479 (e) 1\/18\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/g**(-11)*g*g**(2\/5)*g)\/(g*((g\/g**3)\/g)\/g*(g*g**5*g*g)\/g))**(1\/48) assuming g is positive.\nAnswer: g**(13\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2181990 by 6.\nAnswer: 363665","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o - 5564 = -5*p - 5379, -3*p = -3*o + 117 for o.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 4, d: 3, v: 1, s: 3}. What is prob of sequence eev?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ppp when three letters picked without replacement from {p: 4, c: 1, g: 4, t: 1, f: 1, z: 1}.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.0004688 - -1170260635.\nAnswer: 1170260634.9995312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*b + 21*y - 19*y + 6, -y = -6*b + 3 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.5, 206\/3, 4\/13, 18.1?\nAnswer: 206\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l + 3*m = -3, -2*l = 2*m + 3*m + 1 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 9220 + -9218. Factor 12\/5*h**s + 34\/5*h**3 + 2*h**4 + 0*h + 0.\nAnswer: 2*h**2*(h + 3)*(5*h + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 841 a factor of 115917697?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2135, -4275, -6415?\nAnswer: -8555","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that -2\/3*d**2 - 3456 + 96*d = 0.\nAnswer: 72","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dtpedzzeedtdxztp. What is prob of picking 2 e?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i + 15 = -2*a, -3*a + 6*a + 18 = 3*i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*c**3 - 3 - 14*c**2 + 6*c**2 + 3 in the form y*c**2 + h + f*c**3 + q*c and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = q - l, 2*l = 3*l - 5. Does 19 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14857 - 13973 = 4*i. Calculate the least common multiple of 26 and i.\nAnswer: 442","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 - 5 + 4 + (-1 + 3 - 4)*(2 - 3 + 3) + 4 - 4 - 2 + (3 + 0 + 3)*(4 - 10 + 5))*(4*i**2 + 0*i**2 - 2*i**2).\nAnswer: -36*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) 91419 (b) -0.1 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -6951879605 minus -19?\nAnswer: -6951879586","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -3*t. Let h(v) = -1079*v + 10. Let z(y) = 1081694*y - 10026. Let u(n) = -5013*h(n) - 5*z(n). What is u(m(p))?\nAnswer: -1671*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 30\/((-9180)\/117)*(-8)\/(-52).\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -23.2 + -223.8. Let d = -247.4 - p. Is d less than 12?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -92*d = -90*d + 4*f + 12, 5*d - 15 = -f for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 6, q: 4, e: 1}. Give prob of picking 1 e and 1 d.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -0.59 times -3\nAnswer: 1.77","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -50288\/51 + 986. Do g and -1 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 times 2866\nAnswer: -859.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1315)\/(-18410))\/(4\/(-70)).\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.3 or -4\/129?\nAnswer: -4\/129","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -38917*o**2. Let p(i) = -9325*i. Determine m(p(n)).\nAnswer: -3384052058125*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -75*o - 50 = -58*o + 171 for o.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1068373 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 101 * -6580086\nAnswer: -664588686","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -28*m - 6. Let h = -8 + 6. Does 10 divide c(h)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = n**2 + 5*n. Let s be v(-4). Let z be (-4)\/(-6) - (-116)\/(-12). Which is greater: z or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 149*l - 20*l - 158 = -29*l for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 380 and 533653?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 3*c**2 - 2*c - 6. Suppose -3*l + 20 = -8*l. Let z be (-27)\/6*(4 + (-20)\/6). Let x(q) = -2*q**2 + 2*q + 5. Calculate l*x(f) + z*k(f).\nAnswer: -f**2 - 2*f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 17, 107, -0.3?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (5 - 27) + 8 - -5961?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -703\/5*l + 1\/5*l**3 - 10108\/5 + 2*l**2.\nAnswer: (l - 28)*(l + 19)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 10249?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 245359*n**2 + 1380*n**2 + 266492*n**2.\nAnswer: 513231*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -g - 9. Let s be p(-12). Let x be (((-440)\/25)\/(-8) + -3)*6\/12. Which is the closest to -1? (a) s (b) 4 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xxfxxmxhxmhxxhmnxn. What is prob of sequence hmf?\nAnswer: 1\/544","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9413718l in millilitres?\nAnswer: 941.3718","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -0.167, -3\/4, 27, -8?\nAnswer: -0.167","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23908 + 14 + 0 + -30.\nAnswer: 2, 3, 11, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0 - 1. Let g be 1\/1 - 7\/5. Let s = -10744 + 42973\/4. What is the third biggest value in g, s, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 744 and 19895490?\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 248 to the power of 1\/7, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*b**2 - 19*b**3 - b**3 - 15*b**3.\nAnswer: -35*b**3 - 2*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1412515 and -22.3.\nAnswer: 31499084.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -2*w**2. Let o(q) = -12291*q. Give a(o(r)).\nAnswer: -302137362*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -6488\/17, 0, -3.4, -4\/21?\nAnswer: -6488\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -4*o**2 + 19*o - 1. What is s(2)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: ((-104)\/(-6))\/((-1256)\/(-942))\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -44*v**2 - 16*v**2 + 1 + 114*v**4 + 149*v**2 + 6*v - 42*v**2 - 45*v**2 to d*v + m*v**3 + j*v**4 + x + i*v**2 and give d.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 11*y + 6. Suppose -2*i - 3*u = u + 46, -4*i = 3*u + 77. Let c(d) = 4*d + 2. Give i*c(o) + 6*s(o).\nAnswer: -2*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 226035256 divided by -1000156?\nAnswer: -226","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (5\/(40\/(-8)))\/((-1)\/(-55)). Let q = 58 + i. Let a be q - (2 - -3 - 2 - 1). Solve -v + a = 4 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1 + 4)\/((-10)\/(-370)). Let i(z) = z**2 - z - 3. Let y be i(0). Let k be s - y\/(2 + -3). What is the highest common factor of 12 and k?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3778a6 (base 11) to base 14\nAnswer: 117305","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*t = 2*o + 74, -3*t - 23 = -358*o + 363*o for t.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 3\/2, 0.3, 70\/17, -2 in decreasing order.\nAnswer: 70\/17, 3\/2, 0.3, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-1133)\/33)\/((-2)\/(-132)). Let v = -1611 - h. Suppose 5*f - v = -5*j, -2*j + 251 = 3*f - 15. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -z**3 - 10*z**2 + 4*z. Let r(s) = -s**3 - 20*s**2 + 7*s. Let n(f) = 7*a(f) - 4*r(f). Find the third derivative of n(o) wrt o.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -8 - -21. Let h(o) = o**2 + 10*o - 4. Let u be h(-14). Calculate the greatest common divisor of p and u.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 671.8935l to millilitres.\nAnswer: 671893.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) be the second derivative of c**5\/20 + 13*c**4\/12 + 35*c**3\/6 - 49*c**2\/2 + 15*c - 2. Determine v, given that k(v) = 0.\nAnswer: -7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 116 a factor of 11235?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -12*w**3 + 27*w**2 - 16*w + 22. Let n be d(6). Is n greater than -10163\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 3*f + 10 = 0. Let i(j) = 36 + 36 - 233 + 53 + 5*j + 48 + 50 + 2*j**2. Let t(l) = -2*l**2 - 4*l + 9. Give f*i(r) - 6*t(r).\nAnswer: 2*r**2 - r - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/6 + 0 + (-1)\/(-3)?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -245642.1*-14.\nAnswer: 3438989.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in -2\/3, 1, -1\/13?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -158*w**2 + 1890*w + 163. Determine z(12).\nAnswer: 91","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -6*j**3 - 581*j**2 + 11907*j wrt j?\nAnswer: -36*j - 1162","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 5805118027 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let 18*c**4 - 240*c**3 - 2068*c**2 + 1456*c + 19266 = 0. Calculate c.\nAnswer: -13\/3, 3, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1\/1*(1 + 6). Does 6 divide (-438)\/(-21) + 1\/h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*c = -73*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000576722 rounded to six dps?\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) be the third derivative of 11*k**6\/30 + 5*k**3\/6 - 5*k**2. What is the derivative of x(g) wrt g?\nAnswer: 132*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.991265 kilograms in tonnes?\nAnswer: 0.006991265","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 2594.3851 to zero dps.\nAnswer: 2594","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-348)\/(-10)*-3*15\/(-18).\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g, 1 r, and 1 s when three letters picked without replacement from hsogr?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = r - 4. Let s(w) = -5. Let m(u) = 3*c(u) - 2*s(u). Let p be m(6). Solve -2*o - p = -3*q, 2*q + 3*o - 16 = 7*o for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh smallest value in 1\/5, 0.028, -3\/8, 9, -5, 5, 67\/5?\nAnswer: 67\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:53 AM and 9:27 AM?\nAnswer: 154","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 7161 and 90923.\nAnswer: 3000459","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -26, -72, -200, -464, -918, -1616?\nAnswer: -2612","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 627 minutes before 12:39 AM?\nAnswer: 2:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*u - 34*u = 4. Is 3\/103 at least as big as u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-111 - -60) + (0 - 0)?\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) be the third derivative of x**4\/12 - 2*x**3\/3 + 51*x**2 - 11. Let t(g) be the first derivative of -3*g**2\/2 + 5*g - 1. Determine 4*q(s) + 3*t(s).\nAnswer: -s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6905190?\nAnswer: 2, 3, 5, 29, 7937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) -12 (b) 3 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*a**3 - 105*a**2 + 882*a.\nAnswer: 3*a*(a - 21)*(a - 14)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) be the second derivative of -y**6\/150 + 139*y**5\/50 - 2139*y**4\/5 + 25947*y**3 + 804357*y**2\/10 + 145*y - 1. Let q(t) = 0. Calculate t.\nAnswer: -1, 93","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 295145 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 82002 and 692?\nAnswer: 164004","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -164 + 167. Calculate the greatest common divisor of v and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*i - 2*i. Factor -h**2 + i*h**2 + 3*h**2.\nAnswer: 2*h**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3707 is divided by 154.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -13 + 15. Suppose n*p - 34 = 4*t, -p + 4*t + 23 = -0*t. Let c(a) = 32*a**2. Calculate the remainder when c(-1) is divided by p.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -154*z = -152*z + u - 13, 0 = -5*z - 3*u + 33 for z.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/11, -8, -71 in ascending order.\nAnswer: -71, -8, 1\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = u**2 + 24*u - 1874. Let f be y(-57). Suppose -34 = -2*a - 2*d + 5*d, 64 = 5*a + 3*d. Calculate the highest common divisor of f and a.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1003167 + 440403. Let x = -562764.329963 - n. Let c = x + 0.33. Round c to 5 decimal places.\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) be the third derivative of -a**5\/30 + a**4\/24 + a**3\/6 + 3*a**2. Give h(2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -342 = -w - 345 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -6328*x**2. Let j(r) = 115*r. Calculate j(l(b)).\nAnswer: -727720*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 64678 is divided by 20?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1149 is divided by 23.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 11986028, 11985991, 11985954, 11985917, 11985880?\nAnswer: 11985843","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 - (-8 - (-3 + -1)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -203*a + 70 = -202*a. What are the prime factors of (-4624)\/(-14) + a\/(-245)?\nAnswer: 2, 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (35\/(-4) + 9)*(14 - 30) + -13.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.5278656 centuries to decades.\nAnswer: 5.278656","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 50714.57us in nanoseconds?\nAnswer: 50714570","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -115\/616 and -19\/12584?\nAnswer: 88088","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -1 (b) 4 (c) 2\/3 (d) 5 (e) 2\/729\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 68*q**2 - 77*q - 236. Calculate the remainder when f(18) is divided by 54.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 7406684 and 25923394.\nAnswer: 51846788","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -41391863*x + 82783734*x - 41391862*x.\nAnswer: 9*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.4, 2190, 1, -4\/7?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -23*w - 1. Let o(l) = 10*l. Determine o(a(s)).\nAnswer: -230*s - 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5350 and 728550?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7779571\/16926 + 191\/1302. Let g = y - 460. Which is the nearest to -0.1? (a) g (b) -2\/7 (c) -2\/15 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (0*(-2)\/6)\/1. Suppose y + 3 + u = 0, 4*z - 228 = 4*y. Is 54 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 47459 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = d**3 + 6*d**2 - 7*d - 5. Let b be t(-7). Let c be ((-2)\/b)\/(3\/135). Solve 0 = -5*o - 2*r - 17, c = -0*o - 2*o + 2*r for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -n**3 - 2*n**2 + n + 88. Let h = 30 + -30. What are the prime factors of f(h)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = -14 + 4. Let b = x + -4. Does 13 divide (29 - (1 - b)) + -2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 230151878\/1266559 - 2\/180937. Let w = -180 + y. Factor w + 10\/7*l - 2\/7*l**2.\nAnswer: -2*(l - 6)*(l + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1340444 (base 6) to base 14.\nAnswer: 1d656","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-7)\/5 + 0 + 1)*(-28545)\/(-1903)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -29296 (b) -0.4 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 40*(-187)\/((-71060)\/456).\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/((r*r**14)\/r)*r)**9 assuming r is positive.\nAnswer: r**(-108)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*q + 140*q**2 - 300*q**2 + 661*q**2 + 660*q**2.\nAnswer: 1161*q**2 - 2*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + -11 + 1 + -3 + 335 + -334?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 1\/299075 = 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide -60469 by 139.\nAnswer: -60469\/139","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3296*t**3*w**3*z + 16*t**3*w - t*w**3*z**2 + 4*w**2*z**2 - 5*w**2*z - 2*w*z**2 - 1 wrt w?\nAnswer: 19776*t**3*z - 6*t*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4489 and 2814.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) be the first derivative of -2*p**3 - 1\/4*p**4 - 5\/2*p**2 - 3*p + 3. Calculate x(-5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -12.39 to 0 decimal places.\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -30 - -2. Let p = -26 - y. What is the lowest common multiple of 16 and p?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 902 - 900. Let v be ((-45)\/10)\/((-6)\/(-8)). Let f = -5 - v. Sort -1, s, 4, f in ascending order.\nAnswer: -1, f, s, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -9137*g**6 - 66*g**3 + 645030078*g**2 wrt g.\nAnswer: -1096440*g**3 - 396","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that -b**5\/3 - 7*b**4\/3 - 5*b**3 - 13*b**2\/3 - 4*b\/3 = 0.\nAnswer: -4, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11212765?\nAnswer: 5, 137, 16369","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 84920?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, 3, 6, -465, 4 in increasing order.\nAnswer: -465, -8, 3, 4, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (sqrt(1053) - (sqrt(1053) - 1*sqrt(1053))) + sqrt(1053) - (5 + sqrt(13) + 1 + 4))**2 + (-4 + 4*(1 + sqrt(1053)) + 2)**2.\nAnswer: -366*sqrt(13) + 20834","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r + z - 28 = 0, -1 = -3*r + 4*z + 2 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 61 divided by 5.\nAnswer: 61\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4\/(-10) + (-44)\/(-10). Let m(z) = z - 1. Let i(w) = -10*w + 7 + 5 - 1. Let h(c) = s*i(c) + 44*m(c). Let p(n) = -2*n. Give p(h(y)).\nAnswer: -8*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3653 and 0.027.\nAnswer: 98.631","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -q**2 + 9*q + 2. Let n be k(9). Solve n = -2*j - 0*j for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2.05635 + -8\nAnswer: -10.05635","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 66\/53 greater than or equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9*d**4 - 20*d**4 - 6*d**4)*(-2*d + 5*d + 0*d + 2).\nAnswer: -105*d**5 - 70*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 103 = 2*s, j = -3*j - 2*s + 142. List the prime factors of j.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 79830630 divided by 10.\nAnswer: 7983063","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*i = 2*i. Suppose i = -5*p + 3*p. Which is smaller: -1\/2 or p?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*p + 40 = -19*p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 130521227 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -80, -408, -1314, -3092, -6036, -10440?\n\"Answer: -49*k**3 + 5*k**2 - 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 470497 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 17399 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h**3 - 64317*h**2 - 344755197*h - 344690883 = 0. What is h?\nAnswer: -10719, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = 3*q + 588, 17*q + 470 = 3*d + 22*q. Is d a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*o**2 + 0*o**2 + o**2 + (-64*o + 17*o - 28*o)*(-20*o - 2*o + 8*o) to the form s + i*o**2 + q*o and give i.\nAnswer: 1051","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 15 = -5*j, -3*j - k + 15 = 24. Which is the closest to -4? (a) 0 (b) j (c) 0.5 (d) -0.82\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -38*f**4 + 2*f**2 + 379 wrt f?\nAnswer: -152*f**3 + 4*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -2093*r**3 + 46*r**2 + 92. Let y(c) = -c**3 + c**2 + 2. Calculate b(a) - 46*y(a).\nAnswer: -2047*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -9213250 rounded to the nearest ten thousand?\nAnswer: -9210000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -18 + 287\/56 + 13. Suppose -3*s + 3*o = -8*s + 2, 5 = 3*s - 2*o. Let k be (s + (-30)\/21)*-1. What is the nearest to k in -4\/7, z, 2?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4667 is divided by 477.\nAnswer: 374","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + 3*f - 8 - 14 = 0, 0 = -4*z - 5*f + 28. Solve 4*b = 5*b + 3*g - 12, 0 = z*b + 3*g - 15 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6245 + 6248. Suppose -k - 2*k = 0. What is the fourth smallest value in -1\/55, k, 3\/2, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 0.5805467km?\nAnswer: 580546.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 13 - 22662?\nAnswer: -22646","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -36937 + 36936.9969504. Round q to 4 decimal places.\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = z - 7. Let v be o(6). Let p be v\/(-3) + 10\/(-3). What is the remainder when 26 is divided by 3 - 9\/p - -3?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gw when two letters picked without replacement from mmmmwwgwmw.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 26*l + 2 - 2 + 0 in the form b + w*l and give w.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1955361976 to the nearest integer?\nAnswer: 1250","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1c (base 16) in base 8?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-11)\/(-21) - 1310\/1965. What is the nearest to 0.1 in -4, -316, f, -3?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide 60746733?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 856, 846, 810, 736, 612, 426?\nAnswer: 166","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*i**3\/5 - 118*i**2\/5 - 2188*i\/5 + 10512\/5.\nAnswer: 2*(i - 73)*(i - 4)*(i + 18)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = v. Let z(f) = 26*f**2 + 2*f. Let r(c) = -2*k(c) + z(c). Let w(g) = -40*g + 12. Let d(b) = 13*b - 3. Let t(j) = 4*d(j) + w(j). Give r(t(m)).\nAnswer: 3744*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1895 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 23 + -19. Suppose 2 - 11 = j*f + 3*x, -2*f - 3*x = 9. Solve -4*w + 25 - 5 = f for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 89\/344 and 99\/40?\nAnswer: 1720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 125599489 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -2*v. Let x be (-95 + 3)*3\/(-6). Let k = x + -23. Let p = 24 - k. What is i(p)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1176703 a multiple of 192?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 2 (b) -3\/8 (c) 13 (d) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k**5\/7 - 428*k**4\/7 - 258*k**3\/7 + 36272*k**2\/7 + 104264*k\/7 + 68160\/7 = 0 for k.\nAnswer: -213, -8, -2, -1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.04 - 1.96. Which is the nearest to -1? (a) x (b) -0.5 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1757937 is divided by 33.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:29 PM and 9:52 PM?\nAnswer: 503","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 2*o - 8. Suppose 0 = 7*v - o*v + 84. Let b = v - -39. Calculate the smallest common multiple of 8 and b.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52 = -10*f - 3*f. Find the first derivative of -36*j**4 + 26 - 39*j**f + 90*j**4 wrt j.\nAnswer: 60*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 194?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(1620) - (sqrt(1620) + (sqrt(1620) - sqrt(1620)*1)) - sqrt(1620)))\/(-3*(sqrt(10) - (sqrt(10) + sqrt(80)\/(sqrt(8)*-1)))).\nAnswer: -18*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 14202?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 5\/4917?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 144*n = 18*n + 405 + 1107 for n.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7778 + 381148\/49. Find the common denominator of 29\/77 and t.\nAnswer: 539","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -5 (b) 0.5 (c) 4 (d) -3417.59\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 21*w - 1. Let y(m) = 2*m**2 - m + 16. Let k be y(0). Calculate the lowest common multiple of k\/(-6)*54\/(-8) and r(1).\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange r**2 - 3*r**4 + 9 + r**2 - 3*r - 9 to the form j*r**2 + l*r**4 + i + o*r + q*r**3 and give o.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3069 is divided by 128?\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 9042 and 25068534.\nAnswer: 822","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4\/(-63) - 2\/9. Let z be ((-28)\/147*1)\/(10\/35). Which is the closest to z? (a) -0.5 (b) k (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 60 and 48?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*c*h**4 - 2*c*h - 29*c + 27*h**5 wrt h.\nAnswer: 36*c*h**2 + 540*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*w**3 - 968*w**2 - 1020*w + 11664.\nAnswer: 4*(w - 243)*(w - 3)*(w + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -10*2*(-1)\/4. Suppose -2*j = -t, -d*t + 0*t + 7 = -3*j. Let v be 0 + (-3 - -2) - 1. Sort j, v, 5 in ascending order.\nAnswer: v, j, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -739, -1477, -2215, -2953?\n\"Answer: -738*n - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*w**3\/7 + 1672683*w**2\/7 + 233149847040*w\/7 - 233161555968.\nAnswer: 3*(w - 7)*(w + 278784)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out -622 * 0.0879.\nAnswer: -54.6738","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-9)\/(-36) - 70\/(-8). Suppose -4*q = -v*q. Suppose -80 = -6*l + l. Solve 5*o - o + l = q for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.209152 plus -1.4?\nAnswer: -2.609152","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 557.9676 kilograms in nanograms?\nAnswer: 557967600000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 135250 and 625?\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -53575*v**6 - 52592*v**2.\nAnswer: -6429000*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 321 divided by -107?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/6)\/(((-2880)\/(-54))\/(-16))?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that -u**2\/6 - 59*u = 0.\nAnswer: -354, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -47297, -94583, -141871, -189161?\nAnswer: -236453","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y + 9*y - 18 = 0. Let f(x) = 8*x**y - 6*x**3 + 7*x**3 - 6 - 13*x**2. Suppose 26*u + 185 = 63*u. Give f(u).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11e (base 16) in base 13?\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 25*o**2 + 24*o - 10. What is the least common multiple of 2 and f(-4)?\nAnswer: 294","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 1, d: 2, u: 7, f: 1, i: 2, b: 1}. Give prob of picking 2 i and 2 d.\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 1 + 4*j)*(-3 + 3 - 2 + 6 - 1 - 3 + (2 + 1 - 4)*(1 - 1 - 1) + 0 + 2 - 3 + 1 + 2 - 4 - 2 + 4 - 5) in the form r*j + g and give r.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -5, -6, -21, -56, -117?\n\"Answer: -w**3 - w**2 + 9*w - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-11 - 36 + 10)*(27*w - 11*w - 8*w) + (-6*w + 2*w + 2*w)*(1 - 1 + 1) in the form d*w + u and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5235885 and 921.\nAnswer: 921","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) be the first derivative of 1\/140*s**5 - 1\/28*s**4 + 12 + 3*s - 2\/21*s**3 + 0*s**2. Let m(x) be the first derivative of o(x). Factor m(z).\nAnswer: z*(z - 4)*(z + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 394*d - 1915. Give q(5).\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 564 and 1334988.\nAnswer: 564","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-11 - 4650\/(-420))*8.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = c**2 + 80*c + 431. What is v(-6)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 8476 and 496172?\nAnswer: 652","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -c**2 - 7*c - 9. Suppose 2*h + 5*r + 1 = -21, h - 4*r - 2 = 0. Let k be w(h). Calculate the common denominator of -58\/7 and k\/(-27)*(-55)\/1.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 4, x: 5, k: 8}. Give prob of picking 2 p and 1 k.\nAnswer: 6\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.814 (b) -8 (c) 5 (d) -0.13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 15750 and 12600.\nAnswer: 63000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2928 + 13*w**2 - 3026 - 100*w**2 + w wrt w?\nAnswer: -174","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -0.5, 2\/15, 7\/3 in descending order.\nAnswer: 7\/3, 2\/15, -0.5, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 20 or 43?\nAnswer: 43","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1631*l**2*t + l*t**3 + 259*l - 2*t**3 - 4994*t**2 - 13*t + 2 wrt l?\nAnswer: 3262*l*t + t**3 + 259","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 21 - 16. Factor -c*u**3 - 45 + 15*u**2 + 45 - 10*u.\nAnswer: -5*u*(u - 2)*(u - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 445.6 - 447. Is -0.07 at most j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = 5*s + 6. Let o be (-6)\/((2 - 1)*-8). Let i be ((-2)\/6 + (-30)\/(-225))*-5. What is the third smallest value in s, i, o?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 5*p = -5, -d - 2*p + 4 = 2*p. Suppose 7*z - 11*z = d. Let g(l) = 2*l**2 + z - 1 + 2 - 4*l - l**2. Determine g(3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -44.58 + 2.08. Let z = 42 + o. Let v = -0.2 - 0. Which is the biggest value? (a) z (b) v (c) 0 (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(1 + 5*((sqrt(1539) - (sqrt(1539) - (0 + sqrt(1539) + -5))) + -3 + 2*sqrt(1539)) + 1))**2.\nAnswer: -369360*sqrt(19) + 12517884","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*r - 3*r - 0*r. Suppose -20 + 3 = 3*q - 5*u, r = -4*u + 16. Which is greater: 5 or q?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 6*w**2. Suppose -j = -3, -j + 0*j - 3 = -3*r. Suppose -48*b + 53 + 43 = 0. Let f(h) = 0*h**2 + 3*h**2 - 4*h**r + b*h**2. Calculate f(k(l)).\nAnswer: 36*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2 + -3. Let m = -1339.92973 + 1340.93. Let c = m + o. What is c rounded to 4 decimal places?\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.06 * 14996.\nAnswer: 899.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -6 + (10 - -8) + -10. Factor 0*t**3 + 2\/3*t**4 - 1\/3*t**5 + 0 + 1\/3*t - 2\/3*t**s.\nAnswer: -t*(t - 1)**3*(t + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (3\/(-4))\/(((-63)\/24)\/21). Solve 3*a - 2*d = v*a + 4, 5*d = -2*a - 10 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 33*o*u**4 - 2*o + u**4 + 90*u**2 wrt u.\nAnswer: 792*o*u + 24*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w**2 - 201*w + 198 = 0.\nAnswer: 1, 66","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4724?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 22*o**2 - 11*o. Let g(n) = -n**2. Let c(p) = 11*g(p) + z(p). Find the second derivative of c(t) wrt t.\nAnswer: 22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 3*c**2 + 122*c + 242. List the prime factors of j(-61).\nAnswer: 3, 1321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -26305952 divided by -16\nAnswer: 1644122","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 17072 and 592?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/9 not equal to -8260472?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12903\/1870 - 14\/4*2.\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -13278 - -13412. Solve 0 = 44*y - 86 - x for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*a**2\/7 + 64*a\/7 - 68\/7.\nAnswer: 4*(a - 1)*(a + 17)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 5770 and 25965?\nAnswer: 51930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 5\/(-20) - (-1045)\/20. Differentiate j - 3*g**3 - g**2 - 41 + 89 wrt g.\nAnswer: -9*g**2 - 2*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -227 = -19*u - 436 for u.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = y**3 - 2*y - 1. Determine s(0).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1702d - -2?\nAnswer: 17031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h - 14 = -0*y - 2*y, -h + 6 = y for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 3, m: 1, x: 2, b: 1}. What is prob of sequence mxx?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that j**4\/3 + 55*j**3\/3 + 53*j**2\/3 - 55*j\/3 - 18 = 0.\nAnswer: -54, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (6 - 4) + -3 - (-2 - -1)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 minutes after 9:56 AM?\nAnswer: 10:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hihi when four letters picked without replacement from {i: 3, h: 4}?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1787 - -10637\/6. Let f(c) = 5*c**2 + c + 2. Let m be f(-1). Calculate the common denominator of ((-11)\/(88\/m))\/((-6)\/(-202)) and s.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-280)\/(-88) + 4\/(-22). Suppose w*d + 27 = 5*p - 0*d, 0 = -4*p - 4*d + 28. Let r = 5 + p. What is the remainder when 32 is divided by r?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*x = -2*x + 2980. Suppose 27*f + x = 25*f. Let m = -61 - f. List the prime factors of m.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(153) - (sqrt(153) - ((sqrt(153) + -3*sqrt(153))*1 - sqrt(153))))*5)\/(3*(sqrt(9) - sqrt(9)*-3*-5)).\nAnswer: 5*sqrt(17)\/14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -49\/9 and 67\/117.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 11, x: 5}. Give prob of sequence xooo.\nAnswer: 165\/1456","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 6281659*o**2 - 17*o - 76058359 wrt o?\nAnswer: 12563318*o - 17","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by -387624.\nAnswer: -1\/193812","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 20 = -4*f + 10, 5*f = 5*u - 75. Solve 4*b = 6*b + u for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 19500000 to the nearest one million.\nAnswer: 20000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -21 + 133?\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*s - 2*s + 2*s)*(-5*s - 5*s + 8*s + 9*s**3).\nAnswer: -18*s**4 + 4*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 (base 14) in base 16?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 2, x: 2, a: 4}. What is prob of sequence abab?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 600 - 20?\nAnswer: 560","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17210809?\nAnswer: 7, 11, 37, 863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 11 and 37.\nAnswer: 407","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 23 - 12. Solve 15 = y + i for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 204 - 196. Suppose -m*y - 15 = -111. Is y at most as big as 18?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10804043 a multiple of 113?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f - 2*n + 0*n = -10, -24 = -5*f + n - 44 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 34291?\nAnswer: 53, 647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 69894.53km in nanometers?\nAnswer: 69894530000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/3, -54\/6133, -30, 0 in descending order.\nAnswer: 0, -54\/6133, -1\/3, -30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(605) - (sqrt(605) + 2)*-1)**2 + -3 + -3.\nAnswer: 88*sqrt(5) + 2418","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 818, 822, 828, 836?\n\"Answer: r**2 + r + 816","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 24*q + 284. Calculate c(-7).\nAnswer: 116","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18739.\nAnswer: 7, 2677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2026, 4308, 7094, 10636, 15186, 20996, 28318?\nAnswer: 37404","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 864 divide 8613216?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-6093)\/27*(10\/(-2) - -2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of -5 + (-2 - -5) + 2 + 681?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 7.223779 years?\nAnswer: 86.685348","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 707 minutes after 7:59 PM?\nAnswer: 7:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 48721 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -d + 1. Suppose -5*m = -27 - 38. Suppose -7 = -4*o + m. Let v(b) = -3*b + 4. What is o*a(h) - v(h)?\nAnswer: -2*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 + 1 - j)*(12 - 12 - 6*j) + 430*j + 52*j**2 - 430*j)*(-2*j - j + 4*j).\nAnswer: 58*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -p**2 - 2. Let h(u) = -6*u**2 - 15. Let y(x) = 2*h(x) - 15*w(x). Let q(j) be the second derivative of 0*j**2 + 1\/2*j**3 - 6*j + 0. What is q(y(d))?\nAnswer: 9*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (g - g - g)*(3 + 0 + 5).\nAnswer: -8*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -72141, 2, -2\/2831 in decreasing order.\nAnswer: 2, -2\/2831, -4, -72141","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 16\/6 + 4\/(-6). Suppose -2*b = -7*b - u*d + 55, -3*b + d = -33. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -172.5353+-55.41081\nAnswer: -227.94611","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 7340 and 120.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 266141 = -280*q + 921901. What is the remainder when q is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*(sqrt(832)*-1 + sqrt(832)) - sqrt(832)) + -5 - (-2 + 1*sqrt(832) + sqrt(832))*-4)**2.\nAnswer: -1456*sqrt(13) + 40937","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3269532?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 513*i + 0 + 5*i - 62*i + 3 + 467*i as y*i + n and give n.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-8)\/(-3) - 2)\/1. Let o = -0.5 + 0. Let w = -105 + 529\/5. What is the nearest to i in w, -1\/12, o?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -4 + (-1 + 5 - 390\/1680) and 19\/272.\nAnswer: 1904","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1095 = -72*i + 2432 - 791 for i.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 4*k**3 + 6*k**2 - 6*k + 2. Let u be l(3). Calculate the greatest common divisor of 10 and u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0002699 rounded to five decimal places?\nAnswer: -0.00027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 2*x**2 + 3)*(-2*x + 2*x + 7*x**3)*(-3 - 1 + 3 + (4 - 1 - 5)*(2 + 2 - 5) + 2 + 4 - 4) + 9*x**5 + 6*x**5 - 10*x**5.\nAnswer: -37*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = b**3 - b**2. Let q(f) = 4*f**3 - 9*f**2 - 33*f - 17. What is -q(d) + 6*t(d)?\nAnswer: 2*d**3 + 3*d**2 + 33*d + 17","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -4*x + 44. Suppose -5*p = -x - 1. Suppose 4*s + 21 = 3*k - 48, -63 = -p*k - 3*s. Is k a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*v + 28*v = -70 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 2150, 4303, 6456, 8609, 10762?\n\"Answer: 2153*n - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*j + 5*j + 0*j + (0 - 4 + 1)*(-j + 0*j + 0*j))*(-3 + 5 - 1).\nAnswer: 15*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/22)\/(-13*11\/(-1573)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -9138.048379 + 9336.048379664. Let q = n - 198. Round q to 7 decimal places.\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1154 - 960*n**5 + 1154 + 7240*n**5 - n - 2*n**5 + n + (n + n**2 - n)*(-2*n**3 - 4*n**3 + 4*n**3).\nAnswer: 6276*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 79 + -77. Let d(q) be the second derivative of 1\/15*q**6 + 0 + 0*q**5 + 0*q**4 + 0*q**3 + p*q**2 + 2*q. What is the first derivative of d(u) wrt u?\nAnswer: 8*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z + 24*d + 90 = 0, -7620*d + 7617*d = -5*z + 22 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1 - -5. What is the remainder when 35 is divided by m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d\/d**(-7)*(d**(-9)\/d)\/d)\/((d**(3\/8)*d)\/d*d*d\/d**6) assuming d is positive.\nAnswer: d**(13\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2\/7 (b) 0.2 (c) -2\/11 (d) -14\/3 (e) 1\/33\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 3*b = 3. Solve 2 = -z + b*z for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 56 minutes before 2:12 AM?\nAnswer: 1:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = d**3 - 8*d**2 + 14*d + 7. Let b be n(5). Solve b*k - 4 = 2*h - 8, -2 = -2*k + 4*h for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1803, -9729, -23781, -43959, -70263, -102693?\nAnswer: -141249","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*h**3*m**3 - 3*h**3*m - 1476*h**2*m**3 + 620*h**2*m**2 + h*m**2 + m**3 + 2*m**2 wrt m?\nAnswer: -18*h**3 - 8856*h**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve t**3\/2 + 6167*t**2 + 19022110*t + 38019556 = 0.\nAnswer: -6166, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1 + -7 + 3 - (-3 - 16). Let k(q) = q**2 + 9*q + 2. Let v be k(-9). Sort n, 4, v, 5 in ascending order.\nAnswer: v, 4, 5, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 12762.167 - -20.833. Let s = 12905.71 - c. Let l = -122 + s. Round l to one decimal place.\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 3\/50 of a microsecond?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -80750 + 80750 - 1163*r.\nAnswer: -1163*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6709.\nAnswer: 6709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 4*t. Let j(g) = 3*g**2. Give j(w(s)).\nAnswer: 48*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + q - 20 = 0, -2 - 25 = 4*y - 3*q. Let j = 4 - -18. Put j, 2, y in ascending order.\nAnswer: y, 2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 625 minutes before 11:06 PM?\nAnswer: 12:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 2 g when three letters picked without replacement from dbaazggamzgg?\nAnswer: 9\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -114*d**3 + 2*d**2 + 8*d - 132931 wrt d?\nAnswer: -342*d**2 + 4*d + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 327 - 136. Suppose 0*p = -5*x + 2*p + 255, -4*x - p + r = 0. What are the prime factors of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 62\/3? (a) -14 (b) -1237 (c) -9 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1735 is divided by 87.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 75819?\nAnswer: 3, 127, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 89690 and 59?\nAnswer: 5291710","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 378691 (base 12) to base 11.\nAnswer: 56a031","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2031 is divided by 670?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1.5 + -14.5. Let k = -2942 + 2942. Which is the second biggest value? (a) z (b) -4 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 538136 and 4036020?\nAnswer: 8072040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14 + 9 + (-15 - (-9 - 35)).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15001*q - 5568 = 15065*q for q.\nAnswer: -87","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = -2*b - 78, -s = 4*s - 4*b - 102. Let m = 1 + -4. Calculate the least common multiple of s and m\/(-2) + 42\/4.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-3 + 2)\/(1\/(-3)). Let d(g) = g**3 + 4*g**2 - g - 8. Let z be d(-3). Put z, -3, b, 5 in decreasing order.\nAnswer: 5, z, b, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3094 a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2022.8 + 2027.8. What is the fifth smallest value in -1\/5, h, 0.2, 2, -0.16?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4 + 1. Let a = 2 + h. Let i = -0.3 - -0.5. Sort 0, i, a.\nAnswer: a, 0, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = -14 + 5. Suppose l*u = 8*u - 2840. Suppose -209 = -3*c + u. Does 37 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1949 is divided by 78.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -f + 4. Let a be w(-2). Let n = a - 1. Suppose 0 = -2*p - n*b + 100, 16 - 4 = 3*b. Does 15 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 6*w. Let n be (1 - 6\/2) + 4. Determine j(n).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c + 5*x = -28, -5*x - 101 = 3*c - 65 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 2 o when three letters picked without replacement from {o: 3, w: 2}?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/(-6) + 6\/9*274. Solve 0 = 13*t + 118 - w for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 0 + 40?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -28*v - 6. Let o be t(2). Let c = -22 - o. What is the units digit of c?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 + 1*-1)\/((-23)\/69).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) be the third derivative of 0*f**3 - 1\/15*f**5 + 0 + 4*f**2 + 0*f + 0*f**4. Let i(c) = 2*c. Calculate v(i(z)).\nAnswer: -16*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 61, 0 in descending order.\nAnswer: 61, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-14)\/(-4) + (-9)\/6. Suppose 0 = t*g + 2, 5*p - p + 38 = 2*g. Let r = p - -21. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (564*h + 317*h + 136*h)*(0*h + h - 2*h) to the form y*h**2 + a*h + d and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 + -1 - (13 + (-10 - -15 - 17)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.1645062 + 0.1\nAnswer: -0.0645062","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 189523142 to the nearest integer?\nAnswer: 574","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-8)\/(-2))\/8)\/6.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -530*m + 524*m + 66 = 0. Let p(h) = 2*h - 16. Give p(m).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 692 minutes after 6:58 AM?\nAnswer: 6:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*g - 6 = -23*g. Find the second derivative of 11*y**5 + 2*y**5 + g*y - 27*y wrt y.\nAnswer: 260*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(91)*1 - (sqrt(91) + (sqrt(91) - (sqrt(91) - -5*sqrt(91)*-2 - sqrt(91)) - sqrt(91))))\/(((sqrt(490) + 2*sqrt(490))\/sqrt(10))\/sqrt(7)).\nAnswer: -3*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.2 + -0.787.\nAnswer: 0.413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3\/6 - (-2)\/(-28). Let u(g) = -2*g - 10. Let l be u(-7). Suppose -2*x = q - 2 + 4, 4*x = 5*q - l. What is the biggest value in x, f, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-9)\/3)\/((-4)\/(-4))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*r + 3235 = 1289. Does 17 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = 2*f - 27. Let i(r) = -r**2 - 10*r - 5. Let v be i(f). Solve g - v*g = 0 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**4*v)\/(v\/(v*v**(-4)*v)))\/(v**(-3\/13)*v\/v**17) assuming v is positive.\nAnswer: v**(237\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56*l + 55*l + 403 = 0. Is 13 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 + 2 + 1 - 5*i - 1991077*i**2.\nAnswer: -1991077*i**2 - 5*i - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 302*m + 25. Let c be h(-8). Round c to the nearest 100.\nAnswer: -2400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6474.\nAnswer: 2, 3, 13, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -217*g + 237*g + 363*g**2 + 43 + 435*g**2 - 307*g**2. Is r(-2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -131\/3250 and -25\/1276.\nAnswer: 2073500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence epp when three letters picked without replacement from {e: 1, p: 2, w: 4}.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 38\/10 + (-2)\/(-10). Suppose 5*g = v*g + 20. Does 10 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 93 = v, 2*v - 2*o - 75 = v. Let p(g) = -2*g**2 + 10*g - 8. Let z be p(8). Let c = v + z. What are the prime factors of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = n + 96. Let i be (-18)\/n - (-30)\/8. Let k = i - -3. Calculate the remainder when 16 is divided by k.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 81 is divided by 57?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) be the first derivative of -p**4\/4 + p**3\/3 + p**2\/2 - 3. What is the lowest common multiple of v(-1) and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 49*g**2 - 5*g. Let v(m) = 123*m**2 - 12*m. Let t(j) = -5*v(j) + 12*w(j). Let d(c) = 109*c**2 - 64*c**2 - 46*c**2. Calculate d(t(x)).\nAnswer: -729*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*k - k + 4*k)*(-2*k + 5*k - 4*k - 2).\nAnswer: -k**2 - 2*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, u: 1, i: 1, v: 2}. What is prob of sequence uj?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1760, 3, -0.07, 5?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 7 - 12)*(-b - b - 2*b).\nAnswer: 16*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - 13 - (65 + -78).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 210648080?\nAnswer: 2, 5, 2633101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 842002 and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 42 and 66?\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-12)\/54 - 146\/(-9). Suppose -z = -3*n - 4. Solve -n*m + 4*i + i + 24 = 0, -5*i = -2*m + 22 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 612 and 252?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.342863 - -0.343. What is u rounded to 5 decimal places?\nAnswer: 0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = s - 53. Determine i(-7).\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 8*c**3 - 18*c**2*j - 6*c*j + j - 75 wrt c.\nAnswer: 48*c - 36*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 385336 divided by -6881\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6387858, 6387863, 6387868?\nAnswer: 6387873","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(360)*2)\/sqrt(12))\/(sqrt(12)\/(sqrt(10)\/sqrt(5))).\nAnswer: 2*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*p**5 + 7*p**5 + 25*p**5 + (-5*p**3 + 4 - 4)*(6*p + 7 - 7)*(-4*p + 6*p + 0*p).\nAnswer: -34*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 36810?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/4 - (-6)\/((-72)\/66). What is the smallest value in -7, 3\/2, 5, l?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.55 in -1, -1\/2, 5, 3?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -3196, -6376, -9556, -12736, -15916?\n\"Answer: -3180*q - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 29*w**2 - 27*w**2 - 2 - 6*w - 2*w**4 + 8*w + 2*w to b*w**3 + q*w + z*w**4 + v*w**2 + k and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 964816?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 10, 0.4, 21, -80, -8?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 + 15 + -1 - (-1 + 7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -2481*k**5\/5 + 173673*k**4\/5 + 543129*k**3\/5 + 9267*k**2\/5 - 724464*k\/5 + 876\/5 = 0. What is k?\nAnswer: -2, 1\/827, 1, 73","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 222690*x + 222747. Determine a(-1).\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: ((-90)\/(-70)*21\/18)\/(50\/(-4))\nAnswer: -3\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) be the second derivative of 143*j**3\/3 - 35*j**2\/2 - 17*j. Is t(7) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/9? (a) 11 (b) -2\/51 (c) -5 (d) -1 (e) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.004658 rounded to 3 decimal places?\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 108959.\nAnswer: 108959","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 184.7321 bigger than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3641\/12 + -675\/4. Let j = l + -283\/2. Find the common denominator of j and (-18)\/4*(-5)\/((-20)\/44).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 5*a + 94. Let r be s(-14). Suppose t - 2*t + 100 = 0. Let d be r\/15*t\/(-24)*681. What is d rounded to the nearest one hundred?\nAnswer: -4500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -55 in 1, -4, -0.2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 41995.99 years in months?\nAnswer: 503951.88","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h + 35 - 1 = -4*s, 6*s - 18 = -75*h + 71*h for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -74*l + 74*l - 25*l**4 + (-4*l**2 + 0*l**2 + 3*l**2)*(4*l**2 + 2*l**2 - 5*l**2).\nAnswer: -26*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -3660647 to the nearest one million.\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 24507570?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 201405 = 63*n - 264672 + 24825. Is 258 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 714 + 140.\nAnswer: 854","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l = -y + 10, 123 = 6*y - 5*l + 71 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -5205, -41683, -140693, -333501, -651373, -1125575?\n\"Answer: -5211*y**3 - y + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -87346560 divided by -20370.\nAnswer: 4288","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -2122130013 (base 4) to base 13\nAnswer: -191c13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-four fifths of a decade in years?\nAnswer: 88","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 108*y - 103. Let t be h(4). Suppose 0 = -3*c - 3, -19*d = -16*d - 5*c - t. Is d a multiple of 36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23480006353 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = 9*j - 5*j + 4*y, -4*j - 5*y = 1 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1445 + 2769. Suppose 674 + t = 18*z. Does 5 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 * -44692736\nAnswer: -223463680","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 2*g - 3. Let v(z) = 408*z**2 - 1267*z. What is v(o(w))?\nAnswer: 1632*w**2 - 7430*w + 7473","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 6*l - 448 = 0. Suppose 2*v - 63 = i + l, v = 5*i + 68. List the prime factors of v.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 179, 183, 187?\n\"Answer: 4*y + 175","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.05 - -19.05. Let k = -15 + o. Which is the nearest to -6? (a) k (b) 3 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22.69402 years to millennia.\nAnswer: 0.02269402","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.4897*-91.\nAnswer: 44.5627","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand 11*f**2 + 0*f**2 + 0*f**2 + (-1 + 4 - 4)*(f**2 - f + f).\nAnswer: 10*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1131 and 4755309?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*i + 7*i - 5*x - 705397, 3*i + 5*x - 1058058 = 0. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 10*k**2 - 31*k - 3. Let g be f(3). Let o(n) = -n**2 - 23*n - 105. Determine o(g).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (20*(-51)\/(-476))\/((-4)\/154)*2\/(-5)?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2854 - -6528. List the prime factors of d.\nAnswer: 2, 11, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 3 + 1)*(x**2 + 2*x**4 - x**2) + (-5 + 1 + 2)*(4082*x - 4082*x + 50*x**3)*(-4*x + 2*x + 3*x) + x**4 - 4 + 4.\nAnswer: -95*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(3\/17)*h)\/(h*h\/h**(-1\/6))*(h**1)**(1\/13) assuming h is positive.\nAnswer: h**(-1211\/1326)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000459205 rounded to four decimal places?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*(-4)\/(-4)*-2?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 441 and 49?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = r**3 + 7*r**2 + 6*r - 7. Let l be h(-6). Let a(p) = -p**2 - 8*p + 6. Let z be a(l). Suppose -4*o + 51 + z = 0. Is o a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 127.33 times 0.06?\nAnswer: 7.6398","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y + 532 - 526 = 0 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4205 + -4119. Calculate the greatest common divisor of 3526 and u.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -7 * -143.\nAnswer: 1001","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 77 - 78. Let g = 0.6 + t. Suppose 0 = -l - 4*i - 11, 5*l = 4*l + 5*i + 16. Which is the third smallest value? (a) g (b) l (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14\/4*(7 - (-45)\/(-7))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13055078 is divided by 169.\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -463\/1170 - -1\/90. Let p = g - -51\/65. Let n = -2452 + 2441. Which is the second smallest value? (a) n (b) p (c) 0 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 943 divided by -202.\nAnswer: -943\/202","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = -3*x + 6, -2*w + 2*x + 37 = 9. Suppose -92 + w = -4*k. What are the prime factors of k?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 48, 95, 142, 189, 236, 283?\n\"Answer: 47*c + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m = 15, -11*m = -98*o + 195*o - 96*o - 59 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = w - 5*m - 5, 0 = m + 4. Suppose 2*r - 3 = -f - 6, -5*r = -f - 10. Let y = -52 + 54. Put r, y, w, 4 in decreasing order.\nAnswer: 4, w, y, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = -41*z + 1100. Solve 4*u + z = 45 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = n**3 + 11*n**2 + n + 14. Suppose 594 = -807*h + 810*h. Suppose h = -22*l + 4*l. Calculate f(l).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 9*r = 5*r. Suppose r*j + 20 = 5*j. Solve 2*a + 0 = -j for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 14 = r. Suppose -5 = -4*y + r. Factor -3*b**2 - 4*b**3 + 0*b**2 - y*b + 3*b**3 - 1.\nAnswer: -(b + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -217201, -434425, -651661, -868915, -1086193, -1303501, -1520845?\n\"Answer: -w**3 - 217217*w + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = a**2 + 5*a - 6. Let p be u(-7). Let z be 258\/p*2\/3. Let b = z - 131\/6. What is the closest to 0.1 in -0.1, b, -4\/5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1582893 rounded to the nearest one hundred thousand?\nAnswer: -1600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101 - 100101011011010100000?\nAnswer: -100101011011010011011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -64 - -30. Is k*1\/(-4)*2 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 4*w - w = -6, 3*a - 19 = -5*w. Let c be (-4)\/(1\/a - 0). Let s = -2 - c. Calculate the smallest common multiple of 20 and s.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3*g**2 + 865*g - 112 wrt g?\nAnswer: 6*g + 865","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xtzq when four letters picked without replacement from {x: 1, q: 2, z: 4, t: 2}.\nAnswer: 1\/189","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) -86 (b) 3 (c) -1\/10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1010 (base 3) in base 9?\nAnswer: -33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-4)\/8 + 1\/8*12. Solve -5*c = 4*s + 1 + 13, -s - b = 0 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1.47 - 0.03. Let i = -1.8 - y. Put -1\/3, -3\/2, i in descending order.\nAnswer: i, -1\/3, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9383 divided by 699?\nAnswer: -9383\/699","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40 = -2*p + 4*v, -2931*p + 57*v = -2871*p + 53*v - 272 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*w + 4*w + 4. Does 21 divide (w*5\/(-50))\/(4\/(-1270))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*d - 7163 - 11083. Suppose -2*t - n - 10603 = 0, -2*t + d = -2*n + 16676. Round t to the nearest 1000.\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) be the first derivative of -l**3\/3 - 2*l + 20. Let q(z) = -6 + 4 - 4*z**2 - 4 - z**3. Give -7*c(k) + 2*q(k).\nAnswer: -2*k**3 - k**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 23\/68 and 20\/8417?\nAnswer: 572356","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = l**2. Let i be m(0). Suppose 578*y - f + 10 = 574*y, 5*y + 5*f + 75 = 0. Which is the nearest to 10? (a) i (b) y (c) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -92*k + 1661. Let v be f(19). What is the nearest to v in 0.3, 5, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (5\/10)\/(1\/16). Suppose 0*f - 5*r - 10 = -3*f, 2*f + 4*r = -g. Solve -4*v - 17 + 5 = f for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33022 (base 4) in base 16?\nAnswer: 3ca","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -6*o - 9. Let m(g) = -4 + 0 + 7 + 2*g. Calculate 8*m(r) + 3*w(r).\nAnswer: -2*r - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*m - 159*m + 6 + 141 with respect to m.\nAnswer: -156","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4+1.2959\nAnswer: -2.7041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (3*(-1)\/6)\/((-4)\/40). What is the least common multiple of 260 and 5*(r + 55\/(-25))?\nAnswer: 1820","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 64*i**4 - 132*i**3 + 62*i**2 + 62*i - 62. Let y(w) = w**4 - 2*w**3 + w**2 + w - 1. Let g(q) = -2*h(q) + 124*y(q). Solve g(m) = 0.\nAnswer: 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 89476330495 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -93, -190, -287, -384, -481?\n\"Answer: -97*d + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5266 by 760.\nAnswer: 2633\/380","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qkq when three letters picked without replacement from {x: 1, g: 1, k: 3, q: 7}?\nAnswer: 21\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -95*t**3 + 149*t**3 - 36*t**2 + 160 + t - 43*t**3 wrt t.\nAnswer: 66*t - 72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -c**3 + 7*c**2 - c + 7. Let y be l(7). Suppose -3*z + 3*m = -3, -m = m - 6. Let j = y + z. List the prime factors of j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/20 of a meter in centimeters?\nAnswer: 5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*k - c - 30, k + c - 1 = 5*c. What is the remainder when 45 is divided by k?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.9? (a) 2\/5 (b) -2\/5 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 100.79 and 0.5?\nAnswer: 100.29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 35 + -49. Let m(w) = w + 14. Let z be m(l). Suppose -f + 74 = -b - 3*b, 5*f - 2*b - 280 = z. What is the units digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 115, -1457, -3653, -6479, -9941, -14045, -18797?\nAnswer: -24203","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 17006 to the power of 1\/2, to the nearest integer?\nAnswer: 130","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/(s*s**(-1\/5)))\/s)\/(s\/(s*s\/(s**(2\/13)\/s)))*s*s**(3\/4)*s**(5\/4) assuming s is positive.\nAnswer: s**(263\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 - v)*(2*v - 2*v + v**3) + (-1 - v + 1)*(-v + v + 2*v**3) - 4*v**4 - 5*v**2 + 5*v**2.\nAnswer: -7*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 7 (b) 2\/2985 (c) -3 (d) -4 (e) 1\/13 (f) -0.8 (g) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(-1)*-1*(-106)\/(-795)?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 128 divided by 16?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*v + v = -5*d, -4*d + v = -15 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -140998*-259\nAnswer: 36518482","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -19321 - -31263. What is a rounded to the nearest 100?\nAnswer: 11900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -95499.568 - 153.\nAnswer: -95652.568","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 2*r**3 - 116*r**2 - 1513*r - 32. Give s(69).\nAnswer: 313","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 37 or -1587716?\nAnswer: -1587716","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6947802?\nAnswer: 2, 3, 128663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 26711023 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -13*n - 416. Calculate s(-28).\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 197, 374, 549, 728, 917, 1122, 1349?\n\"Answer: r**3 - 7*r**2 + 191*r + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 1, l: 5, z: 2, s: 5, q: 3}. Give prob of sequence hzq.\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 192 + 67 = 0. Suppose 4*g - 4*a - 28 = 0, 0 = 4*g - 6*a + 3*a - t. Sort g, -5, -2 in increasing order.\nAnswer: -5, -2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -z - 11. Let g be n(-12). Does 8 divide g\/3 + 888\/36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = 5*g + 201, -2*g - 2 = -3*q + 84. Sort 3, g, 4 in decreasing order.\nAnswer: 4, 3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4227 = 43*m - 14435 - 27202. Calculate the remainder when m is divided by 145.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -1467, 0.5, -4\/19, -3\/5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i - 37*v + 36*v - 14 = 0, -4*i + 4*v = -16 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-84)\/42)\/((-4)\/10).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -189 + 7 - 57*t**2 - 48*t**2 - 48*t**2 + 154*t**2.\nAnswer: t**2 - 182","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2 + 3. What is the lowest common multiple of (18\/12)\/(d\/4) and 8?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 11892?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -4\/5, 4\/3, -1\/6, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-10)\/(-6) + (-4)\/6. Suppose 2*c + w = 9. Let m(n) = -n**3 + 3*n**2 + 9. Let r be m(c). Sort 2, r, -1 in ascending order.\nAnswer: r, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = w**2 + 18*w + 109. Let v be j(-32). Let r = v + -196. List the prime factors of r.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = -238 + 226, -3*x + 25159 = g. What is the greatest common factor of 516 and x?\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 265 + -266. Let n = -29.3 + 28. Let o = 0.6 + n. Is q greater than o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let c = 6 - 4. Let f = 3 + c. Suppose 44 = 3*r + z, -3*z = -2*r - f + 49. Calculate the remainder when r is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4.92 + -0.08. Suppose 1 = v + 5*n, 3*v - 4*v + 1 = -3*n. Which is the nearest to 1? (a) -2 (b) m (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) be the third derivative of w**8\/10080 - w**5\/15 - 2*w**2. Let d(i) be the third derivative of y(i). Let r(x) = 0*x - 4*x + 2*x. Give r(d(o)).\nAnswer: -4*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) be the third derivative of 0 + 0*k**4 - 1\/6*k**3 + 5*k**2 + 1\/15*k**5 + 0*k. Differentiate d(c) wrt c.\nAnswer: 8*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 501252 (base 7) to base 6.\nAnswer: 1451133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -2*c. Let b be n(-1). Suppose 0 = 5*j - s - 2, -4*j = 2*s + b*s + 8. Suppose p + 220 = 5*g - 0*p, j = -2*p + 10. List the prime factors of g.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5294 + -502926\/95. Is n greater than or equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 30*x + 134. Calculate the remainder when 384 is divided by z(0).\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*r**3 - 5*r**3 + 4*r**3)*(-2*r - 3*r + 6*r) - r**4 + 2 - 2 - 2*r + 2*r + 2*r**4 + 4*r**4 - 3*r**4 - 3*r**4 + 283*r**4 + 8861 - 8861.\nAnswer: 284*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = 4*j - 76, -k - 4*k - 60 = -2*j. Suppose -3*r - 2*r = -j. Solve 0 = 3*w + 12, -2*m + 2*w - 10 = r*w for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 2*s + 2*s - 7 + s**3 + 249*s**2 - 243*s**2. Let r(z) = 15*z**2 + 2*z + 1. Let h be r(-1). Let v = 9 - h. Determine o(v).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1321446 a multiple of 117?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x**4 + 24*x**3 + 20*x**2 = 0.\nAnswer: -5, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:14 AM and 11:48 AM?\nAnswer: 454","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2194 = 99*s - 677. Calculate the remainder when 244 is divided by s.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 11\/4 of a year?\nAnswer: 33","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 89\/1382706 and 16?\nAnswer: 1382706","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 5*o**2 - o + 1. Let w be m(1). Suppose 2*a - 90 = w*a. Let j = 42 + a. What is the remainder when j is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10.9 * 8\nAnswer: 87.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 times 0.47089427?\nAnswer: -0.188357708","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 2, -4, -51280, 0.3, 4 in increasing order.\nAnswer: -51280, -4, -1, 0.3, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 789750 and 59292.\nAnswer: 486","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -32 divided by -8?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = n - 1. Let l = -77 - -74. Let m(z) = -2*z + 0*z - 18 + 8 + 14. Calculate l*o(y) - m(y).\nAnswer: -y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -2*s**3 - 4*s**2 - 4*s - 3. Let b be t(-2). Solve 18 + 2 = -b*o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-2\/27)*v*v*v)**14*(v*v**(3\/5))**(-4) assuming v is positive.\nAnswer: v**(4666\/135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, 5, 2\/21, 2 in decreasing order.\nAnswer: 5, 2, 2\/21, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -163\/167974?\nAnswer: -163\/167974","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -75 - -378\/5. Sort f, -2\/5, 0.13 in increasing order.\nAnswer: -2\/5, 0.13, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor a**2\/5 - 7370436*a\/5 + 13580831707524\/5.\nAnswer: (a - 3685218)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = o**3 + 7*o**2 + 6*o + 3. Let d be g(-6). Let x(v) = v + 6*v**2 - 2*v**2 + 2*v**d + 2*v**2 - 3*v**3. List the prime factors of x(6).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 9929977 and -3.\nAnswer: -29789931","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 104194*p - 104169*p - 475 = 0 for p.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -2 (b) -0.07 (c) 3.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 824 = 3*x + 821 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2442?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) be the first derivative of -1\/2*n**2 - 8 + 14*n. Let m(q) = -q**2. Calculate a(m(g)).\nAnswer: g**2 + 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -b**2 - b - 6. Let s be v(0). Let i = 10 + s. Calculate the least common multiple of i\/3 + (-2)\/(-3) and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 2*a - 7. Let f be g(5). Suppose -f*r = -165 + 42. Does 25 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 266 + 34 = 5*r. Let d = -2 - -2. Suppose -r + d = -5*u. List the prime factors of u.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2592 + 2591.99998785. Round q to 6 decimal places.\nAnswer: -0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = -3*g - 6. Let s = 1500 + -1499. Which is the fourth biggest value? (a) g (b) -0.4 (c) s (d) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = 5*c - 279. Calculate the smallest common multiple of 1 and c.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-216)\/(-66))\/(46\/(-253)). Let m(t) = -10*t - 185. Give m(x).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 22 (base 10) to base 15\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 23700653 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: ((-12)\/8)\/(126\/56)\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*k + 117 + 117 = 5*k for k.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 6.646518 to one decimal place.\nAnswer: 6.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -25, -2, -37, 0, 5, 2.\nAnswer: -37, -25, -2, 0, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 336366.5 years in centuries?\nAnswer: 3363.665","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -14711571, -14711584, -14711597, -14711610, -14711623?\nAnswer: -14711636","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 4*p = -6, -2*t - 5*p - 8 = -2. Suppose 5*q + 87 = t*j, -2*j - q + 139 = j. List the prime factors of j.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -2*s. Let i(u) = -u**3 - 4*u**2 - 3*u. Let l be i(-2). Let q be l\/6 + 14\/6. Let h(y) = -19*y - 13*y**2 + 19*y + 4*y**q. Determine h(g(f)).\nAnswer: -36*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -2 + (10518\/(-44) - 2). Let d = 242 + p. Find the common denominator of d and -51\/22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 0*b + 9 = 0. Solve 0 = b*p - 5*j + 2, 2*p - 2*j + 7 = 3 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f**4 + 1400*f**3 - 102110*f**2 + 575400*f - 844605 = 0. Calculate f.\nAnswer: 3, 137","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 214022.\nAnswer: 2, 113, 947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 433*o**2 + 1408*o + 6. Let v(a) = 869*a**2 + 2818*a + 14. Let h(n) = -7*t(n) + 3*v(n). What is the second derivative of h(g) wrt g?\nAnswer: -848","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = l**2 - l - 7. Let t be a(4). Let c(k) = 11*k - 55. Let m be c(t). Solve -2*s + 5 - 11 = m for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 261 is divided by 133?\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 330, 1259, 2798, 4941, 7682, 11015, 14934, 19433?\nAnswer: 24506","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*n + 19*n - 3*n - 6*n.\nAnswer: -n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t\/t**18)\/t**(2\/5)*((t\/t**7*t)\/t)**(-29) assuming t is positive.\nAnswer: t**(788\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yyyyyyykyyyyyyy. Give prob of picking 2 y.\nAnswer: 13\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 3*v - 5*v + v - 2 - 2*v. Let c(u) = -13*u - 9. Let s(r) = -4*c(r) + 18*x(r). Let w(z) = 2*z**2. Calculate w(s(l)).\nAnswer: 8*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -3*z**3 - 115*z**2 + 4736*z + 220. Calculate o(25).\nAnswer: -130","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uuzz. What is prob of picking 1 u and 2 z?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 148 divide 3900?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -12 + 1 - (7 + -14 + 2)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 251 minutes before 11:33 AM?\nAnswer: 7:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 172*b - 301 - 2451 for b.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1040 + -101?\nAnswer: 939","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -14.2 + 14.19516. Round c to 3 decimal places.\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*p + 2529209948 - 2529209948.\nAnswer: 2*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a**(-2\/5))**23*a*a**(4\/11)*a**(-5) assuming a is positive.\nAnswer: a**(559\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (2 + 24\/(-10))*-10. Let c(i) = -i**3 + 7*i**2 + 9*i - 8. Let s be c(8). Let d be s\/(3 + 6\/(-3)). Solve r*g - 8 = -d*g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 10987 and 106?\nAnswer: 1164622","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) be the first derivative of 59*b**2\/2 + 7. Calculate the remainder when j(1) is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 54.94 - 54. Let d = 1 - f. Let u = d + -0.46. Which is the second biggest value? (a) 3 (b) -2 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -105\/1426 and 17\/558.\nAnswer: 12834","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -8*p**2 + 7*p**2 + 7*p**3 - p**3 - 4*p**2 wrt p?\nAnswer: 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -7*h**2 - 22582186*h + 9678081.\nAnswer: -(h + 3226027)*(7*h - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((0 - 1 + 3)*(3 + 0 - 5) + 4 - 1 + 1 + (6 - 3 - 4)*(0 + 1 + 3))*(-18*l**3 + 29*l**3 - 17*l**3) to the form w*l + a*l**2 + g + v*l**3 and give v.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(6))\/sqrt(3) + (-6*sqrt(32))**2.\nAnswer: sqrt(2) + 1152","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 2 - 3*u**2 + (6*u - 3*u - 4*u)*(2*u - 2*u - 2*u))*((0 - 1 - 1)*(2*u - 6*u + 2*u) - u + 4*u - 4*u) in the form o*u**3 + g + z*u**2 + i*u and give o.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1709 - -15216. What is the hundreds digit of c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 528\/(-576)*8\/88.\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3581 is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -117\/1048000 and -13\/37728?\nAnswer: 9432000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 538 minutes after 10:56 PM?\nAnswer: 7:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 425741?\nAnswer: 271, 1571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6150168 - -6150167.86000045. Let h = k - -0.14. Round h to seven dps.\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13718 a factor of 3061737832?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 512.5 + -513. What is the third smallest value in -1, -8, s, -0.2?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 505 = 7*a. Let b be (-4)\/(-4) - (-34 - 63). Let j = a - b. Solve -g + j = -0*g for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30230235751 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = c**3 - 16*c**2 - 56*c + 361. Calculate m(18).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -223\/3 (b) -5 (c) 6.536 (d) 0.1 (e) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = 11*u - 528. Let n = u + -48. Let q(w) = -w**3 - 4*w**2 - w - 1. Give q(n).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1927060 + -760923.\nAnswer: -2687983","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 396558801.\nAnswer: 3, 23, 638581","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h - 4*d - 75 = -2*d, -14 = 2*h + 4*d. Let x = 19 + h. Suppose -4*v + 6 = -3*v. Calculate the least common multiple of v and x.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10021001221 - 1122?\nAnswer: 10021000022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1512497 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9 (base 13) to base 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -j - 27 + 86 - 37 - 33. What is k(0)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) be the first derivative of 7*l**3 + l**2 - 2*l - 13. What are the prime factors of i(-3)?\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.14*2.6.\nAnswer: -0.364","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 6061\/638 + (1 + -11)*1?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 173\/3750 and -107\/3401250.\nAnswer: 3401250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u and 1 e when three letters picked without replacement from {e: 1, i: 1, u: 7, q: 3}?\nAnswer: 21\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = -2*l - 28, 2*l + 4*x + 27 = 3*x. Let f(z) = z**3 - 9*z**2 - z - 2. Let j be f(0). Let a = 13 + -8. Sort j, -1, a, l.\nAnswer: l, j, -1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*o + 8*o + 14*o to the form i + x*o and give x.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -66826 - -7?\nAnswer: -66818","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -d**2 + 4*d - 3. Suppose -4 = -2*b + 6. Suppose 0 = -b*v + 5*p, 0 = 3*v - 0*p + p - 8. What is the remainder when v is divided by u(2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + 0*m + 4*i = 124, -22 = -m - 4*i. Let w = m + 4. Calculate the highest common divisor of w and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 + 1 - 2*t)*(-4*t**2 + 2*t**2 + 0*t**2) + t**3 + 3 - 7 + 2)*(-3*t + 5 - 5).\nAnswer: -15*t**4 + 6*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 39105586651 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 145893.5 days?\nAnswer: 3501444","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 428 minutes after 2:44 AM?\nAnswer: 9:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 375?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -x**2 - x + 1. Let q(b) = 5*b**2 + 15*b - 8. Let z(k) = 6*l(k) + q(k). Is z(8) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00019158 to 6 dps.\nAnswer: -0.000192","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) be the first derivative of 2*k**5\/45 - k**4\/6 - 10*k**3\/27 + k**2\/3 + 8*k\/9 + 158. Factor j(n).\nAnswer: 2*(n - 4)*(n - 1)*(n + 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = 2*u + u + 5100, -u = 4*z - 6820. Suppose -3*m - 177 + z = 0. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 55345671*j**5 + 4*j**3 - 24*j**2 - 4133*j - 69 wrt j.\nAnswer: 3320740260*j**2 + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -20130 - 2?\nAnswer: -20132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -59.36 + -2.64. Let f = 67 + x. What is the biggest value in 2, 2\/3, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 547807.995ms in weeks?\nAnswer: 0.0009057671875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 145*d - 546.\nAnswer: 145","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -2*d - 25. Let j be c(-14). Suppose -3*v + 3 = j*p, -p + 2*v = -3 - 1. Let l be 6 + p\/((-2)\/3). Solve -2*f + 5 = -2*b - 7, 2*f = -b + l for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.5, 5567\/7, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7 = 4*n - 9 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 15*w - 36 = 0. Is -24\/11 at least as big as w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = q**3 - 7*q**2 - 9*q + 8. Let l be k(8). Let w(v) = v - 4. Let n be w(l). Let b be -1 + n - 6799993 - 4\/2. Round b to the nearest 1000000.\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 25*w - 7. What is the least common multiple of 8 and t(3)?\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -h**3 + 5*h**2 + 6*h - 6. Give p(5).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -169 + 1185\/7. Suppose -3*l - 15 = -c + 4*c, -l - 4*c - 20 = 0. Suppose l = -7*w + 4*w. Put w, 5, b in decreasing order.\nAnswer: 5, b, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/4*(8 - 8). Let d = -0.1 - -0.4. Which is the nearest to t? (a) 2\/9 (b) -2 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 14641?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -70040, -140397, -210754, -281111, -351468?\n\"Answer: -70357*t + 317","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is c3454 (base 16) in base 6?\nAnswer: 25050524","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 685, -0.1, 1\/6, 1\/3, -9 in descending order.\nAnswer: 685, 4, 1\/3, 1\/6, -0.1, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) be the second derivative of s**3 + s**2\/2 - 44*s - 6. Let w(j) = 7*j + 1. Calculate 4*w(r) - 3*y(r).\nAnswer: 10*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2188*y**4 + 360*y**3 - 230077*y**2 + 9*y wrt y?\nAnswer: 52512*y + 2160","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5 + 0. Suppose -3*b + 7*b = 3*l + 3, 5*l = 15. Suppose -5*r = -b*r - 28. Calculate the remainder when r is divided by u.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 554 = 2*l - 220. Let j = l + 225. What are the prime factors of j?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 404 = -3*p + 92, -2*o + 5*p = -624. Is 26 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a - 131 = -2*k + 5*a, 0 = -k - 3*a + 49. Suppose o = 6*o - 4*s - k, -3*o + 3*s = -36. Solve 4*t - 2*t = -o for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6910188 divided by -4?\nAnswer: 1727547","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (s - 7*s - s)*(2 + 2 - 7)*(-2 - 29 - 7 - 17) as d + n*s and give n.\nAnswer: -1155","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -111 - -130.9. Let y = -19 + n. Let i = -0.1 - y. Is 2 at most i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 222 minutes before 8:43 AM?\nAnswer: 5:01 AM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -m**2*o*w**3 - 3*m**2*o - 61*m*o**2*w**2 - m - 2*o**2*w**3 - 3*o**2 - 8986*o*w**3 - w wrt w?\nAnswer: -6*m**2*o - 12*o**2 - 53916*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.002359078 to 4 decimal places.\nAnswer: -0.0024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1507171 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*y - 14*y - 9*y)*((0*y - 12*y + 4*y)*(-y - 2*y + y) + 1 - 1 + y**2).\nAnswer: -306*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*f**2 - 670*f + 7128.\nAnswer: 2*(f - 324)*(f - 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -66 (b) -0.18 (c) 0.015 (d) 7 (e) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 47 + 35*m**2 - 47.\nAnswer: 35*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -p. Let w(i) = 15*i + 1. Let x(y) = -3*j(y) - w(y). Let s be x(-1). Let n = s - 6. Is n even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 14\/9 and -46\/719091?\nAnswer: 719091","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen fifths of a litre in millilitres?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q + 23 = 3*s, 3*q = 41 + 55 - 84 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i + 23 = 2*r, 5*r + 3*i + 1304 = 1348 for r.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (11 - ((14 - 1) + -3) - 6) + (13 - -2).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 19.1023455 to the nearest integer.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(-3 + (sqrt(450)*1 + 1 - sqrt(450))))**2.\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 100502003 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4800742 is divided by 2400367?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, m: 4, z: 6, l: 2, b: 2, y: 4}. What is prob of picking 2 m?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7114282 is divided by 151.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 7\/2*(-4)\/(-2). Suppose -1 = v + p, p - d = 5*v + 5*p. Let l = 15 + -15.2. Sort v, l, 4\/3 in ascending order.\nAnswer: v, l, 4\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-9)\/(-6) - (-86)\/4. Let s = u + -23. Factor -2\/5*g**3 + 0*g + 2\/5*g**2 + s.\nAnswer: -2*g**2*(g - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (6256\/(-3))\/(-8) + 2\/6?\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 4850232, 9700461, 14550690, 19400919, 24251148, 29101377?\n\"Answer: 4850229*z + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 40 and 11092?\nAnswer: 110920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -883*j - 2473*j - 2042*j + 6 - 6 to the form v + n*j and give n.\nAnswer: -5398","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 1331 (base 13) to base 4\nAnswer: 222320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 355293729 to the power of 1\/3, to the nearest integer?\nAnswer: 708","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(60))\/sqrt(12))**2*-3 + 0.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2814537623?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 - w)*(161 + 229 - 92).\nAnswer: -298*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 18209 to the power of 1\/3, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 20*d**3 - 184*d**2 + 436*d + 16. Let k(a) = -4*a**3 + 37*a**2 - 87*a - 3. Let q(l) = 16*k(l) + 3*p(l). Factor q(h).\nAnswer: -4*h*(h - 7)*(h - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.879107 millilitres?\nAnswer: 0.000879107","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -51928503 + 51928503 - 365*u. Let o(m) = -4*m**2. Give t(o(b)).\nAnswer: 1460*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -7.53 + 7.288. Let w = 0.142 + m. Let d be (18\/(-22))\/1 - -1. What is the nearest to w in d, 0.1, -0.07?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = o**3 + 8*o**2 - o - 8. Let f be n(-8). Suppose 3*c = 2*a - 766, 2*a + 3*c - 425 - 329 = f. List the prime factors of a.\nAnswer: 2, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 0.268805 rounded to 3 dps?\nAnswer: 0.269","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*w + 27*w - 612. Calculate the remainder when 698 is divided by w.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3 + 3. Let n(h) be the third derivative of 1\/15*h**3 + 0*h - 1\/40*h**4 - 1\/100*h**5 + k - h**2 - 1\/350*h**7 + 7\/600*h**6. Find u such that n(u) = 0.\nAnswer: -2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ss when two letters picked without replacement from {w: 1, s: 5}.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*p**6 + 119*p**2.\nAnswer: 360*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -s**2 - 7*s - 9. Let v be b(-4). Suppose -3*x + v*g - g = -8, 0 = -4*x + g + 4. Solve 3*z = -x + 9 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (5\/2)\/((-3)\/(-18)). Suppose 0 = -3*u - 3 + z. Suppose g = b - 5*b + 43, -u*b + 82 = 2*g. What is the remainder when g is divided by 20?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 8*z + 5. Let r(l) = 31*l + 22. Calculate 9*h(d) - 2*r(d).\nAnswer: 10*d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h - 3*f = 9, 5*h + 167*f - 12 = 171*f for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3\/860 + 1693\/7740. Is 61\/3 less than d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8759507, -17519023, -26278539, -35038055?\nAnswer: -43797571","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -86 divided by 43.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(20) + ((sqrt(220)*-2)\/sqrt(11) - sqrt(20)))\/sqrt(4).\nAnswer: -2*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 2*a**3 - 6*a**2 + 144*a - 3. Let i(b) = -6*b**3 + 17*b**2 - 430*b + 8. Give -6*i(d) - 17*z(d).\nAnswer: 2*d**3 + 132*d + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*j**3 + j**3 + 11*j**3 - 2*j**2 + j**2.\nAnswer: 22*j**3 - j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -203 - -443. What is the highest common divisor of 30 and x?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15855248?\nAnswer: 2, 990953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -0.052+691\nAnswer: 690.948","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) be the second derivative of -x**4\/12 - 5*x**3\/6 - 2*x**2 - 2*x. Let k(g) = g**2 + 6*g + 3. Let l be k(-2). What is b(l)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*l + 76*l + 1133 = -560*l - 12759 for l.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -79 + 81. Let b(c) = 0*c**3 + 2 + 5 + 6*c - 6*c**2 - u*c**3 + c**3. Let d(t) = 3*t + 2. Let h be d(-3). Calculate b(h).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((0*d + 2*d + 0*d)*(7 - 6 + 5) + 2*d + 0 + 0)*(d + d - d) + (-4 + 4 - 2*d**2)*(3 - 3 - 2) in the form t*d + l + s*d**2 and give s.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(1\/2)\/o)**(-22)\/(o**(-2)\/o)**35 assuming o is positive.\nAnswer: o**116","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 2010 to the power of 1\/3, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 - (1 - -10 - (-151 - -143)).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 4244439533 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = -m + 14. Let d = -3 - -3.5. Put m, -0.2, d in increasing order.\nAnswer: m, -0.2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 98 = -y + 384, -2*x = 0. What is the hundreds digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) be the first derivative of -1\/12*v**4 + 0*v**2 - 25*v + 0*v**3 + 30. Let m(k) be the first derivative of w(k). Let d(j) = -7*j**2. Determine d(m(i)).\nAnswer: -7*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.12 take away 0.1?\nAnswer: -2.22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*i + i + 3*i)*(24 - 258 + 32)*(-1 + 1 - 2*i).\nAnswer: 404*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 1689827.98 to the nearest 1000.\nAnswer: 1690000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 47\/113367573 and 49\/54?\nAnswer: 226735146","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) be the second derivative of 41*v**5 + 425*v**4\/6 + 327*v. What is the third derivative of s(o) wrt o?\nAnswer: 4920","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1 - 22211?\nAnswer: -22210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1\/4 (b) -2 (c) 2\/9 (d) 2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 507*x**3 + 3 + 409*x**3 - 726*x**3.\nAnswer: 190*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 1020 - 54884 = d, -2*z - 3*d = -55904. What is the thousands digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 1\/10 of a micrometer?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 235290 divided by -55?\nAnswer: -4278","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**8\/(a\/(a**4\/a)))\/((a\/(a**8\/a)*a)\/((((a*a*a**(4\/7))\/a)\/a)\/a)))\/(((a*a**(-6))\/(a**6*a))\/((a**(-1)*a*a)\/a)**(-3\/11)) assuming a is positive.\nAnswer: a**(186\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -310, -311, -312, -313, -314?\n\"Answer: -g - 309","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -12*b + 0 + 9 + 4*b + 49. Calculate the remainder when 19 is divided by a(6).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -31485*n + 15773*n + 2 + 15770*n to the form y*n + b and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 428480171 a multiple of 44?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + 4*q = q + 15, 0 = -4*j + 4*q + 44. Let m be (76\/j + 1)*-2. Let s = m + 27. Sort -2\/15, 4, s in increasing order.\nAnswer: s, -2\/15, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3797791 or 3797795?\nAnswer: 3797795","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -100001001011001011 (base 2) in base 10?\nAnswer: -135883","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/3*j**3 - 1\/3*j + 1\/3 - 1\/3*j**2.\nAnswer: (j - 1)**2*(j + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 154376 is divided by 2269?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6332 and 28?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/(k\/k**(-1\/4)))**(16\/11))**44 assuming k is positive.\nAnswer: k**(-16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o + 80 = -34*o - 6*o. Let g(c) = -c**2 - 7. Let y be g(0). Put o, y, 3 in descending order.\nAnswer: 3, o, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -245*h - 415 wrt h?\nAnswer: -245","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 2*h**2. Suppose 48 = 3*l - 4*r + 7, 4*r - 4 = 0. Let m(f) = -5*f - 3. Let a be m(-1). Let z(n) = l*n**a + 573*n - 573*n. Determine z(o(y)).\nAnswer: 60*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 + 259*t**2 - t + t**3 - 259*t**2 - t**4 to the form u*t**2 + l + x*t + k*t**3 + o*t**4 and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Add 150.91165 and -33.94.\nAnswer: 116.97165","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 2776.26793 to 0 decimal places.\nAnswer: 2776","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 53 and 689?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 395? (a) 3 (b) -3 (c) 0.02\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + -5 - (-2 + (-4 - -6))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bbbxbxeebbxbgxb. What is prob of sequence xxx?\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -x**3 + 4*x**2 + 6*x - 1. Suppose -2*g + 14 = 2*y, 19 = -g + 5*g + y. Suppose -2*t + 5 = -t, g*c + 2*t = 30. What is k(c)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3988 is divided by 685?\nAnswer: 563","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 711 and 1185?\nAnswer: 3555","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 154.6 less than -1?\nAnswer: -155.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(170) + -5*(sqrt(170) + sqrt(170)*-1) + sqrt(170))*4*-2)\/(-1*sqrt(110)\/sqrt(44)*-3).\nAnswer: -32*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, u: 2, n: 1, w: 1, t: 5}. Give prob of sequence cn.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -35144, -70264, -105384, -140504, -175624?\nAnswer: -210744","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 3816*w - 581. Is j(13) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -20*j**2. Let n(q) = 8*q**2 + 22*q. Let l(w) = -w**2 - 3*w. Let g(a) = -44*l(a) - 6*n(a). Calculate s(g(p)).\nAnswer: -320*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 16018787867 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sum -2.190307185 and 0.105.\nAnswer: -2.085307185","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = -5*f + 32, -5*f = 2*j - 4*j - 26. Calculate the greatest common divisor of 1 and f.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 18*x**4\/5 + 43968*x**3\/5 + 26864444*x**2\/5 + 17894976*x\/5 + 2981682\/5.\nAnswer: 2*(x + 1221)**2*(3*x + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3*2\/(-8))\/((-30)\/360)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 38\/(-30)*-3 - (-4)\/20. Suppose -2*h + 6 = -z, -3*h = -h - 4*z. Let x = 7 - h. Which is the biggest value? (a) r (b) -5 (c) x (d) 8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -y**2 + 4*y. Let j(g) be the second derivative of g**3\/6 - 457*g. Determine 2*j(s) - u(s).\nAnswer: s**2 - 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a - 218 = 10*n - 21*a + 12*a, -3*n + a - 65 = 0 for n.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-93*i + 11*i**2 + 93*i)*(2*i**3 + 0*i**3 - i**3) + (5*i**2 + i**2 - 4*i**2)*(2*i**3 - i**3 - 3*i**3) - i**5 + 0*i**5 + 3*i**5.\nAnswer: 9*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 35 - 174\/5. Let k = -14 - -23. Let u = k + -9. Which is bigger: s or u?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (12\/(-18))\/((-64)\/(-528))*-98. What is the greatest common factor of d and 490?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -375 divided by -1.\nAnswer: 375","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0 and 6953.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 80695 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -1, 5, -5, 0, 1 in decreasing order.\nAnswer: 5, 2, 1, 0, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*w + 8, -s - 98*w + 18 = -95*w. Calculate the greatest common factor of 560 and s.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -911, -1829, -2761, -3713, -4691?\nAnswer: -5701","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 14658846, 29317696, 43976548, 58635402?\n\"Answer: g**2 + 14658847*g - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + ((-108)\/24)\/((-6)\/4).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = b. Let o = -116 + 115. Let r(c) = -c**2 - c - 1. Let g(z) = 3*z**2 - 5*z - 5. Let t(n) = o*g(n) + 5*r(n). What is t(s(m))?\nAnswer: -8*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 114215?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 714 minutes after 2:28 AM?\nAnswer: 2:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2559*p**2\/4 - 104745*p - 28536 = 0.\nAnswer: -232\/853, 164","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 405 and 2565?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = -3*z - 48, 2*j - 4*z - 13 - 13 = 0. Calculate the common denominator of 29\/12 and 9\/(-2)*j\/12.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -244 - -309. What is the greatest common divisor of f and 104?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 626, 1249, 1866, 2477, 3082, 3681, 4274?\nAnswer: 4861","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2158 - 2161. Let j(w) = -w**2 + 7*w - 4. Let a be j(6). Suppose -1 = a*z - 3*z. Put z, -1, q, 31 in increasing order.\nAnswer: q, -1, z, 31","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -66.7 (b) -0.4 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1859 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1627 - -2471. Let k = 844.0000433 - c. Round k to 5 decimal places.\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 312799 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 25132949 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1572638033?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*u - 39*u = 100 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 93440 by -160.\nAnswer: -584","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -2*v**2 - 5*v + 6. Let n be h(-6). Let i be (-2 - 4844\/n)*(-4854)\/1257032. Let m = 1\/22447 - i. Find the common denominator of -17\/16 and m.\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2687 is divided by 298.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1508 + -749. Is v a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 421 - -256137049.\nAnswer: 256137470","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -0.4, 0.02, 15, -1\/4, -57?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 19552.9982 - 19556. Let o = 3 + x. Round o to 3 dps.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29489*c - 27410*c = -133056 for c.\nAnswer: -64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 9 = -5*q, 2*i - 12 = 2*q - 0*i. Let v(b) = -2*b**2 - 10*b - 8. Let o = -119 - -115. Let x be v(o). Sort 5, q, x in increasing order.\nAnswer: q, x, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -2 - (-1)\/(24\/496)*63.\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = s**3 - 11*s**2 + 2605*s - 28369. Calculate q(11).\nAnswer: 286","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) -23\/112 (b) 2\/11 (c) -0.1 (d) 0.54\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 620613?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*y**2 + 3 - 27*y**4 - 52*y + 14*y**4 + 5*y**2 - 2*y**2 + 11*y**4 to u*y**2 + g*y + w*y**4 + x*y**3 + m and give m.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -103 + -60206?\nAnswer: -60312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -8*z**2 + 6*z. Let o(t) = -t**2 + t. Let q(a) = -6*o(a) + y(a). Let p(n) be the first derivative of 6 + 0 + n**3 - 3. What is p(q(h))?\nAnswer: 12*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 132634 to the nearest 1000.\nAnswer: 133000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a + 2023 = 17*a. What is the units digit of a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 5*f**3 + 152*f**2 + 57*f - 42. Calculate the smallest common multiple of 416 and g(-30).\nAnswer: 1248","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 106 - 76. Let k = -28 + j. Let m(l) = l**3 - 5*l**2 + l + 2. Calculate m(k).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = -3*r - 3*n, 5*n - 57 = 4*r - 133. Calculate the greatest common divisor of r and 3262.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4448 - z**3 + 134*z**3 - 41*z**3 - 43*z**3 - 2*z**2 - 48*z**3 as h + g*z**3 + f*z + d*z**2 and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 5*b + 238 = 0, -2*b - 382 = 3*m - 7*b. Let y = -3 - m. Let a = -111 + y. Solve s = -s + a for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 8, -3, 114558, 0.3, -1, 5?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nrnritr. What is prob of picking 2 n and 1 t?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(187) + sqrt(187) + 1*sqrt(187)*2)\/(sqrt(396)*-2) + 1.\nAnswer: -sqrt(17)\/3 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -u**3 - 13*u**2 - 21*u - 1. Calculate t(-11).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = -2*v - 0*b - 12, 0 = -2*b + 8. Let u = -3.91 + -0.09. Let s = 0.09 - 2.09. What is the closest to v in u, s, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-v**2 - 16*v**2 + 2*v**2 + (-4*v**2 + 5*v**2 + v**2)*(2 + 3 - 4))*(0*v + 0*v - 5*v**2 + (0 + v + 0)*(0*v + 3*v + 3*v)).\nAnswer: -13*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 y when three letters picked without replacement from {u: 6, y: 7}?\nAnswer: 35\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 11*h - 7. Let k(o) = -7*o + 5. Let r = 27 - 19. Let x(w) = r*k(w) + 5*c(w). Calculate x(6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in 3, -7, 1?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = y + 6, 9*y - 50 = 4*y + 4*x. Suppose 4*f + y = 5*p, -3*f = 2*p - 0*p - 1. Find the first derivative of -11*o**3 - 4 - 4 + p + 0*o**3 wrt o.\nAnswer: -33*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -713 + 239?\nAnswer: -474","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ptbtpttp. What is prob of picking 2 p and 1 b?\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 799.000473 + -799. Round d to 4 decimal places.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*sqrt(120)\/sqrt(6)*5)**2.\nAnswer: 18000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 8495549 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1.98434 and -89.\nAnswer: -176.60626","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*(sqrt(304) + -2*sqrt(304) + 1) - (-2 + (sqrt(304) + -1)*3))*4*2)**2.\nAnswer: 256","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 7315 and 803957.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (36\/(-4))\/(-9)*4.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.09 times 0.1521?\nAnswer: 0.013689","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -453400 - -4?\nAnswer: -453363","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(176))**2 + sqrt(275)*-5.\nAnswer: -17*sqrt(11) + 177","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((2\/4)\/(20\/(-240)))\/(-1).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 955 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + i**2 + 5)*(-3*i - i + 0*i - 7).\nAnswer: -4*i**3 - 7*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 633*o + 562*o = -32 - 13113 for o.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 236 minutes after 2:08 AM?\nAnswer: 6:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*((-42)\/(-6))\/(-49).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -8.9 + 7.91. Let l = b + 8.29. Let w = l - 7.12. Round w to 1 decimal place.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f - 4*m + 26 = 0, 0 = -f - 10*m + 5*m + 18 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 15 + -10 + 24\/(-3)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 36 = 4*b, 4*i + b = -i + 27. Let g be 0*-3*(-1)\/i. Solve g = 3*u - 4 - 11 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) -3 (b) -53 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.3654 + -0.37. Round h to 3 dps.\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 96308574?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 3, -4, 5, 14181412 in increasing order.\nAnswer: -5, -4, 3, 5, 14181412","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.3 - 4.3. Which is the smallest value? (a) f (b) 0.3 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -244075\/84 or -2907?\nAnswer: -244075\/84","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, p: 2, x: 1, h: 2, q: 1}. What is prob of picking 1 p and 1 x?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 628498.373 and -3.3659?\nAnswer: 628501.7389","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b - 4*b + 13*d + 18 = -0*d + 38, -d + 41 = 4*b for b.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(504)*-1 - (sqrt(1134)*1 - sqrt(1134)))\/((sqrt(2) - sqrt(8)\/sqrt(4))*1 + 4*sqrt(8)).\nAnswer: -2 - 3*sqrt(7)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*l = -15*l + 256. Differentiate -l + 33 + 35 - a**3 with respect to a.\nAnswer: -3*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:06 PM and 12:43 AM?\nAnswer: 97","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) be the second derivative of 0*j**4 + 0*j**2 + 6 - 3*j - 49\/30*j**6 + 0*j**5 + 8*j**3. What is the second derivative of n(m) wrt m?\nAnswer: -588*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 5 (b) 8 (c) -3793\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11 = 171*t - 160*t for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m + 16*m = -0*m + 3*x + 52, 7*m - 5*x - 30 = 0 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4982 is divided by 168.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3 - 1. Let b be (-2)\/(8\/(-36)) - 4. Suppose 35 = b*z + 10. Solve f = z*t - 23 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2994 - -3009. What is the remainder when 32 is divided by x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -274, -588, -940, -1330, -1758, -2224, -2728?\n\"Answer: -19*x**2 - 257*x + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -15*p - 174. Give x(-21).\nAnswer: 141","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -319 - 961*f**2 + 642 - 323 as b*f**2 + h*f + z and give b.\nAnswer: -961","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(110) - 2*sqrt(110)))\/(sqrt(10) + -1*(2*sqrt(10) + sqrt(10))) - (5*(sqrt(22) + -2*sqrt(22)))\/(-5*sqrt(4)\/sqrt(2)).\nAnswer: -7*sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 4081630071 + 3?\nAnswer: 4081630074","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 372 minutes after 7:18 PM?\nAnswer: 1:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5 - 4. Suppose k = -4*j + 9. Solve 5*g = 25, 4*m - 8 = j*g - 34 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jzjzzzzjjjjjzz. What is prob of sequence jjzz?\nAnswer: 21\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 19 + -11. Let p(l) = -v*l**2 - 5*l**2 + 4*l**2. Let a(k) = 2*k**2. Determine p(a(r)).\nAnswer: -36*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 15 = -7*n. Calculate the remainder when ((-3)\/n)\/1 - -21 is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -37532*h - 175166*h - 129769*h + 102315*h.\nAnswer: -240152*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) be the second derivative of 11*q**6\/30 - q**4\/6 + 3*q. What is the third derivative of c(s) wrt s?\nAnswer: 264*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 30 = -3*z - z, -2*s - 2*z = 0. Let l = s - 4. Which is the closest to l? (a) -1\/2 (b) 3 (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 57\/5 of a litre in millilitres?\nAnswer: 11400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -5*a + 3. Let s(f) = 19*f - 11. Let g = 41 + -63. Determine g*u(q) - 6*s(q).\nAnswer: -4*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -38232460 + 66749192. Suppose 3*n + 8983268 = -x. Round n to the nearest 1000000.\nAnswer: -13000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -59 + (-29 + 60 - 4).\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29715 is divided by 92?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1.76 - -0.76. Let v = 0.04 + 0.04. Let a = v + t. What is a rounded to one dp?\nAnswer: 2.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 227 and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -21.29 + 21. Let p = z - 0.11. Which is the second biggest value? (a) 8 (b) p (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*a**3\/17 + 14944*a**2\/17 - 89608*a\/17 + 119456\/17 = 0. Calculate a.\nAnswer: 2, 4, 7466","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 8405 and 7?\nAnswer: 58835","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 350881 is divided by 353?\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = p**3 - p**2 + p - 1. Let a(f) = 7*f**3 - 4*f**2 + 4*f - 5. Calculate a(t) - 5*l(t).\nAnswer: 2*t**3 + t**2 - t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 31533?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 72 a factor of 112508610?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16 + 5 + 7 + 4 + 2*k - 2.\nAnswer: 2*k + 30","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 + 1 + 76*j + 33*j - 119*j + 12*j.\nAnswer: 2*j - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -37*m**5 + 7*m**4 - m + 77.\nAnswer: -740*m**3 + 84*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -91*b**4 + b**3 + 1208*b**2?\nAnswer: -2184*b + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2886 is divided by 2708?\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*b**2\/15 - 36556*b\/3 + 182782\/15.\nAnswer: -2*(b - 1)*(b + 91391)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 2604038237 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.03 + -0.034. Let l = p + 0. Let g = l + 0.00399829. What is g rounded to seven dps?\nAnswer: -0.0000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -17*g**2 + 9*g + 37. Let r(w) = -3*w**2 + 2*w + 7. Calculate -22*r(z) + 4*x(z).\nAnswer: -2*z**2 - 8*z - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 2, a: 4, y: 8, n: 3}. Give prob of sequence ny.\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*a**3 - 1 + 1 - 12*a**3 + 8*a**3 - 6*a**3 + (-2*a**2 + 2*a**2 - a**2)*(0*a - a + 3*a) + 3*a**3 + a - a.\nAnswer: -11*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 264*f**3 - 22*f**2 + 52*f + 52. Let t(i) = i**2 - 2*i - 2. Determine q(z) + 26*t(z).\nAnswer: 264*z**3 + 4*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5827406*j**2 - 11*j - 194018?\nAnswer: 11654812","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 211172000 to the nearest 1000000.\nAnswer: 211000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 279 minutes after 5:33 PM?\nAnswer: 10:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 137507 - 137507.000204129. Round g to 5 dps.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 4*y - 3. Suppose -z + 2*w - 64 = 0, 2*z = -4*w - 112 - 48. Let t = 85 + z. Calculate the remainder when t is divided by b(2).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 173 minutes before 11:01 AM?\nAnswer: 8:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) be the first derivative of -19*q**6\/30 + 6*q**2 - 35*q + 6. Let s(a) be the first derivative of h(a). What is the first derivative of s(b) wrt b?\nAnswer: -76*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 235 is divided by 12?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37 = -4*b - 13. Let v(f) = 7 - 16*f + 3 - 11 + b*f**2. Is v(-14) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = o**3 - 21*o**2 - 16*o - 126. Let p be n(22). Solve 0 = 4*q - h + p*h + 25, -q + 25 = -5*h for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 211313 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) be the second derivative of o**4\/6 - 5*o**2\/2 + o. Let s(z) = 2*z**2 - 6. Let l(i) = -6*h(i) + 5*s(i). Let q(b) = -5*b. Determine l(q(j)).\nAnswer: -50*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*n**4 + 13*n**2 + 0*n**2 + 3*n - 14*n**2 + 2*n**4 - 5*n**4 + 2*n**4 + (n**2 - n**2 + 3*n**2)*(48 - 48 + 7*n**2).\nAnswer: 15*n**4 - n**2 + 3*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t + 14 - 10 = 0 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 55 = -y. Suppose -2*n = 5*t - 7, -y = -2*t + 2*n + 3. Differentiate -t*p**3 + p**3 + p**3 - 2 wrt p.\nAnswer: -3*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -z**2 + 3*z - 1. Let x(o) = o - 7. Let u be x(9). Let w(y) be the first derivative of -y**2 - 51. Calculate u*g(n) + 3*w(n).\nAnswer: -2*n**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 49700 and 3668.\nAnswer: 6510700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -1154, -1176, -1196, -1214, -1230, -1244?\n\"Answer: g**2 - 25*g - 1130","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20948551?\nAnswer: 13, 139, 11593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 100*-7552\nAnswer: -755200","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 13077 divided by 22?\nAnswer: 13077\/22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*f + 10*f = -60. What is the remainder when f is divided by 12\/(-2)*10\/(-30)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8*5\/(-25) - (-10)\/25?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 + 2100*i + 1 - 4 - 3860*i + 0 to a*i + c and give a.\nAnswer: -1760","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 89664050.\nAnswer: 2, 5, 7, 241, 1063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2 - -2.3. Let x = -31 - -26. Let r = 4.9 + x. Put b, r, 5 in descending order.\nAnswer: 5, b, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) be the second derivative of 419*a**7\/14 + 131*a**3\/3 + 904*a. Find the second derivative of z(v) wrt v.\nAnswer: 25140*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 18 and 1287?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*h**4 + 21*h**2 + 2*h - 8*h**2 - 7*h**2 - h**2 - 4*h**2 + 5 - 9*h**3 as p*h + x*h**4 + u + s*h**3 + t*h**2 and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37 = 9*v - 19 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(475)*2*-3*5)**2*3.\nAnswer: 1282498","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5 - 26\/(-6)) + 8\/(-6).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 4, f: 2, m: 5}. What is prob of sequence nnmm?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xhh when three letters picked without replacement from {h: 13, x: 5}.\nAnswer: 65\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) be the second derivative of y**4\/12 - 10*y**3\/3 - 13*y**2\/2 + 5*y. Let d be a(21). Suppose 0 = 2*l - 5*r + d*r - 1976, -2 = r. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -130*s. Let l(z) = 3*z. Give j(l(t)).\nAnswer: -390*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 20467, 13639, 6825, 31, -6737, -13473, -20171, -26825?\nAnswer: -33429","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -27.1 - -27.099829. Round k to four dps.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 96, 192, 286, 378, 468, 556, 642?\nAnswer: 726","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 12*y + 94. Let n(f) = -47*f - 377. Calculate -3*n(o) - 11*p(o).\nAnswer: 9*o + 97","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (-403260)\/(-2115)*(-54)\/117\nAnswer: -88","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -159\/5 or -4565\/19?\nAnswer: -159\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-142)\/(-26) - (-150)\/(-325). Solve -s = j - 4 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2249.\nAnswer: 13, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 99\/737200 and -103\/152000.\nAnswer: 14744000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = f**3 + 7*f**2 - 5*f + 10. Suppose -396 + 268 = 16*h. Give w(h).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*f + 27*f = -2 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 times -2123.9\nAnswer: 212.39","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -10579\/6 - -1759. What is the common denominator of m and -10\/17?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -511416 divided by 24\nAnswer: -21309","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) be the first derivative of 2 - 4*m - 1\/3*m**3 - 7\/2*m**2. Let i be p(-4). What is i rounded to the nearest 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) be the second derivative of 0 + 1\/12*p**4 - 27*p + 31\/6*p**3 - 25\/2*p**2. Let c be j(-32). Let g(u) = u**2 - 8*u. Calculate g(c).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29.75102 litres in millilitres?\nAnswer: 29751.02","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gagrrwrrgwrrgrrrrrw. Give prob of picking 1 w and 1 a.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/(-8) - (-235)\/20. Suppose -5*w = -w - u. Suppose b - 7 = -5*t + 3*b, 4*t + w*b - 1 = 0. Is t at least -2\/15?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 5 + 1756?\nAnswer: 1762","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -3 + 1\/(-3)*3. Let f be 8 - 1\/(p\/(-8)). Suppose 16086 + 4914 = f*a. What is a rounded to the nearest one thousand?\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4*-273.949.\nAnswer: 1095.796","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) be the second derivative of c**5\/10 - c**4\/2 - 2*c**3\/3 + 19*c**2\/2 + 75*c. Let h be j(4). Solve 15 = 32*y - h*y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 5\/(-3)*(-18)\/6. Put 0.5, 2\/7, b, -0.7 in increasing order.\nAnswer: -0.7, 2\/7, 0.5, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3537923*q + 11741 = 3538122*q for q.\nAnswer: 59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 16536 to the power of 1\/2, to the nearest integer?\nAnswer: 129","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (79 + h - 4*h - 78)*(0*h**3 + 0*h**3 - h**3).\nAnswer: 3*h**4 - h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -410742 or -410695?\nAnswer: -410742","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -7887, -15777, -23667?\n\"Answer: -7890*s + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -8*z - z - 8*z + 0*z in the form y + v*z and give v.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -40*z**3 - 5*z**3 + 4*z + 33*z**3 - 4*z.\nAnswer: -12*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (36\/12 + -9)*1\/(-150). Let n(k) be the first derivative of -6 + 1\/20*k**4 + 2\/15*k**3 + 0*k**2 + 0*k - w*k**5. Find t such that n(t) = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = 944 + 100. What is the second derivative of a*h**2 - 5*h - 120*h**2 - 118*h**2 - 1 wrt h?\nAnswer: 46","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = -0*z - 1763780. Let c be (3\/6)\/(2\/z). Let o = -161189 + c. What is o rounded to the nearest 10000?\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 629367378?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = s**2 + 12*s + 36. Let i be h(-5). Let a be (-14)\/(-8) + 1\/4. Suppose -a*w = -8 - 0. Solve -b - w + i = 0 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 = -x + 3*d, -4*d - 10 - 3 = 3*x. What is the remainder when x\/(-44) - 366\/(-8) is divided by 24?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 21*n + 6. Let r(o) = 41*o + 12. Let l(i) = 3*r(i) - 5*y(i). Suppose -4*b - 29 = -3*z, 0*b + b = -4*z + 7. Is l(z) a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 33 + 32 + 8 + 1671*r**3 - 2*r**2 - 1674*r**3 in the form u*r**2 + f*r + d + c*r**3 and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 5 - (-1 + (-3)\/(-6))*-6. Suppose -n*u + 2*x = 6*x + 18, 0 = -u - x - 6. What is the tens digit of (u\/4 - (-4888)\/32)\/2?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) be the third derivative of -i**5\/60 - 26*i**2. Suppose 5*n - 3 = 2. Let u(r) = n - 3*r - 1. Calculate u(w(y)).\nAnswer: 3*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.4 + 0.1. Let i = 0.25 + l. Round i to 2 dps.\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:44 PM and 3:09 AM?\nAnswer: 685","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2*(-4)\/(10\/5) - -17. Solve -5*n - r = -9*w + 5*w, 0 = -4*n + 5*w - 5 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 70\/735 + 32\/(-42). Sort -0.1, 283, x.\nAnswer: x, -0.1, 283","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11353 = 686*m - 3807 for m.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:35 AM and 2:41 AM?\nAnswer: 126","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vmivvpppppu. What is prob of sequence mp?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 2.47, 0.2, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 19213*z**4 - z**3 + 3*z**2 + 7812584 wrt z?\nAnswer: 76852*z**3 - 3*z**2 + 6*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 1762 divide 38040022?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m, 1 z, and 1 l when three letters picked without replacement from {z: 2, m: 3, u: 3, x: 1, t: 1, l: 1}?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 3148583 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**4*k**15 assuming k is positive.\nAnswer: k**19","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 724074 rounded to the nearest one hundred thousand?\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -82*p**4 + 95*p + 40162 wrt p.\nAnswer: -328*p**3 + 95","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -7*d**3 - 9*d**2 - 7*d. Let m(h) = 8*h**3 + 10*h**2 + 8*h. Let z(x) = -5*m(x) - 6*y(x). Suppose z(j) = 0. What is j?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -29.046 - -29. Let i = 0.04600076 + b. What is i rounded to 7 dps?\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 5\/8 of a litre?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3179.026l?\nAnswer: 3179026","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 220*f - 219*f + 0*u - 2*u + 0*u = -20, -110*f = 4*u + 1752 for f.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -302532, -302530, -302526, -302520?\nAnswer: -302512","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -54.985 + -0.015. Let d = -55.5 - j. Let c = -20 - -20. What is the nearest to c in 3\/7, -6, d?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 177*j*o*t**3 + o*t**3 + 2*o*t - 2 with respect to j.\nAnswer: 177*o*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6270 + 6292. Let v(m) = -11*m + 243. Determine v(g).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 62 and 1116.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -323690*(-4)\/(-6)*(156\/8)\/(-13). What is c rounded to the nearest one hundred thousand?\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 243 minutes after 8:36 AM?\nAnswer: 12:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 8*b**3 + b**2 - b - 3. Let x(r) be the second derivative of r**4\/12 - r**2\/2 - 2*r. Let l(t) = -p(t) + 2*x(t). What is the units digit of l(-1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 6*t**2 + 6*t**2 - 23*t**2 + t**2 - 22*t**2. Let k(q) = 2*q**2. Calculate k(a(u)).\nAnswer: 2048*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand -21*g**2 + 0 - 3*g**3 + 23*g**2 + 2 + 3*g**3 + 3*g**3 - 5*g**3 + 3*g**3 - 5*g**3 + 0*g**3 + (0*g + 0*g + 2*g**2)*(-6*g + 0*g + 4*g).\nAnswer: -8*g**3 + 2*g**2 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 88 = -2*l, 2*l = 4*b + b - 229. Let d(f) = -f**3 + 10*f**2 + f + 6. What is the remainder when b is divided by d(10)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -41*l*u**5 - 13*l*u**2 - 2*l - 3*u**5 wrt u?\nAnswer: -2460*l*u**2 - 180*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 21 = -3*h, 4*h + 60 = 68. Suppose -2*x - 35 = -b*x. Let t(w) be the third derivative of -w**5\/60 + w**4\/4 - 2*w**3\/3 - w**2. Give t(x).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 172, -14, -1.\nAnswer: -14, -1, 172","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:56 PM and 7:18 PM?\nAnswer: 82","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Are -799657\/151 and -5296 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) be the first derivative of -p**4\/12 + p**3\/3 - 6*p**2 - 3. Let t(g) be the second derivative of m(g). Let f be t(0). Solve f*x - 8 = 2 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 225 - 215. Solve -6*p + 16 = -h*p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*5\/(5\/39)*(-36)\/108.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 6 + -88*(-15)\/(-60). Put 5, 32, 2\/5, 1\/4, j in descending order.\nAnswer: 32, 5, 2\/5, 1\/4, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 53 a factor of 53?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2858, -11255, -25264, -44903, -70190, -101143?\nAnswer: -137780","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 4*h = -4*t + 1420, 1900 = 4*t - 4*h. Suppose -13*b + t = -7*b. What is the greatest common divisor of 20 and b?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -12521105\/7?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y + n = 8 + 9, 3*n = -4*y - 89 for y.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 55, 0, 5, -113, -3 in descending order.\nAnswer: 55, 5, 0, -3, -113","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = -a + 21, 0 = -2*a + 7*a - 5. Let c(d) = 0 + 0*d + 3*d + 7 - 2. What is the remainder when 33 is divided by c(i)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -742 - -1013. Calculate the remainder when i is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11.1 take away -0.045?\nAnswer: 11.145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 233785 and 0.2?\nAnswer: 46757","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 9071.841 grams?\nAnswer: 9071841000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.000456 (b) 4\/7 (c) -21\/2 (d) -10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 2*p**2. Let r(y) be the first derivative of -9 - 1\/3*y**3 + 0*y + 0*y**2. Determine r(l(f)).\nAnswer: -4*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((5 + sqrt(243)*1 - sqrt(243) - (sqrt(243) - ((sqrt(243) - (0 + sqrt(243))**2) + 1 + sqrt(243)))) + 3*-4*-3*sqrt(243) + 1).\nAnswer: -1332*sqrt(3) + 944","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*j + 3*j - 87. Let c = j - -54. What is the units digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1277 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-2)\/1 - (-369)\/9.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from huhuulhhhhu. What is prob of picking 3 h?\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*i**2\/3 + 7836*i + 20028640\/3 = 0. What is i?\nAnswer: -755, 6632","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -138174 - -1383201\/10. Let b = -146 + u. Sort -0.4, b, 0.4 in descending order.\nAnswer: 0.4, b, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 71670217*2\nAnswer: 143340434","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -17.70310443 rounded to 2 dps?\nAnswer: -17.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -217*j**2 + 4*j + 2. Let n(t) = 650*t**2 - 11*t - 6. Calculate -17*c(x) - 6*n(x).\nAnswer: -211*x**2 - 2*x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 276.385 rounded to 1 decimal place?\nAnswer: 276.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -c + 8. Let p be m(-7). Suppose 39 = 2*w + p. Suppose -2*z + z + 3 = a, 0 = 2*z - a - w. Solve 4*f + 15 = -5*n + 2*f, -z*f + 5 = 4*n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 40224?\nAnswer: 2, 3, 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(-17)*(-1)\/(35\/(-35)).\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 498*p - 153*p - 159*p - 15*p = 12654 for p.\nAnswer: 74","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -28.12 + 4.12. Which is the third biggest value? (a) 1 (b) -3\/2 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -147 - -1325\/9. Let j be -7*(39\/9 + -2). Let z = 17 + j. What is the third biggest value in y, -1, z?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -89344561048 - -3\nAnswer: -89344561045","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.772 + -0.69. Let y = 5.5679 + 0.2141. Let f = y - d. Round f to zero decimal places.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-80)\/(-12))\/(-1)*30\/25. Let m be (y\/(-28))\/((-2 - -3)*2). Let s = -0.4 + 0.2. Which is the nearest to -5? (a) -4 (b) m (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -16*t**3 - 8*t - 8. Let o(r) = 4*r - 25. Let f be o(6). Let h = -18067 + 18075. Let b(z) = -z**3 - z - 1. Determine f*v(j) + h*b(j).\nAnswer: 8*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 21194831.45999837 - 21195067.46. Let b = -236 - g. What is b rounded to 7 decimal places?\nAnswer: 0.0000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.6 (b) -1\/5 (c) 1270 (d) -0.1 (e) -1\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -2850619*b. Let m(s) = -s**2. Determine v(m(d)).\nAnswer: 2850619*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand v**5 + 3*v - 3*v + (v + v + 0*v)*(-3*v**4 - 4*v**3 + 4*v**3) + (-3*v**2 + 5*v**2 - 4*v**2)*(v - v + v**3).\nAnswer: -7*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -6*a**2 + 8*a - 9. Let n = -578 + 579. Determine m(n).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -6*o + 6. Let z(n) = n**3 - 9*n**2 + 8*n - 5. Let c be z(8). Let t = -1 - 3. Let a(b) = b - 3 + 4*b - 2. Determine c*a(h) + t*j(h).\nAnswer: -h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 158 = 2*l, 2*l + 234 = -4*b + 24. Let u = b + 54. Solve 3*r + u = r for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -2*p. Let c be -3*(-8)\/6 - -2. Suppose -c*l = -3*l - 6. Let a(d) = -l*d**2 - 12 + 12. What is f(a(m))?\nAnswer: 4*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (85100\/(-8625) - 30\/(-3))\/((-1)\/(-50)*5)?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 5*s**2 - 2*s. Let i be k(2). Suppose -i = 5*b - 13*b. Suppose -24 = -4*l - 2*q, 0 = 4*q - b - 6. What are the prime factors of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (54\/21 + -2)*7.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*u = -2 + 14. Let m(x) = -2*x**3 + 2*x**2 + x. Let a be m(u). Find the common denominator of -151\/12 and 3305\/280 + a\/(-7).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 104369057\/510 - 204645. Find the common denominator of k and 62\/595.\nAnswer: 3570","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -47 - (-22 - (-36 + 31)).\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 2266, 1060, -962, -3800, -7454, -11924, -17210?\n\"Answer: -408*s**2 + 18*s + 2656","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00020494881 rounded to 4 decimal places?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4120 by 5.\nAnswer: 824","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 5*t = 5, 3 = 5*t - 17. Suppose -2*u - f*i + 234 = 33, -3*u = 2*i - 318. What are the prime factors of u?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30058242449 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 4082*r + 1401 wrt r.\nAnswer: 4082","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9265 is divided by 1319?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 times 2.508?\nAnswer: -7.524","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4607614 is divided by 416.\nAnswer: 414","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l + l - 32 = 0. Is 8 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21325 a multiple of 82?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*i = -15*i - 10*i. Let h be (2\/(-9))\/(2\/12). Which is smaller: h or i?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3.9 - -0.1. Which is the nearest to -1? (a) -4 (b) t (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 2*x - 9 = -2*o, -5*o - 5*x - 10 = 0. Let v = o - -4. Solve -4*g + 2*j + v = -3*g, 5*g + 17 = -4*j for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1 - (0 - (3 - 2)). Suppose 96 = r*c + c. Calculate the remainder when c is divided by 17.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2505, 0, -405.\nAnswer: -405, 0, 2505","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7)\/(14\/(-8))*(-2)\/4.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -33*x - 20. Suppose -2*f - 10 = 2*m, -3*m + 5*f = -33 + 8. Suppose 0 = -u + 4*u + 2*k + 2, m = -k + 5. Does 19 divide s(u)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = 5*z - 580, 4*z + 3*u = 103 + 360. Let k be ((-172800)\/28)\/(2\/(0 - z)). Round k to the nearest ten thousand.\nAnswer: 350000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 1258*s - 550. Let c be h(3). What is the highest common divisor of 208 and c?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 3, l: 1}. Give prob of picking 2 k and 1 l.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = h + 2. Suppose 3 + 1 = -2*v. Let b = v + 6. Suppose 0 = b*l - 2*l + 6. Let z(p) = -p - 1. Determine l*q(m) - 6*z(m).\nAnswer: 3*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -3 (b) -4\/9 (c) 3642 (d) 3 (e) -4 (f) 0.1 (g) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1591403165 minus -4?\nAnswer: -1591403161","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -x**2 - 20*x + 6. Let z be t(-20). Find the common denominator of (-64)\/z + (-25)\/5 + 3 and ((-13)\/52)\/(18\/556).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from papaoaaaaoaaaaa. Give prob of picking 3 a and 1 p.\nAnswer: 22\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = t**3 + 5*t**2 - t - 7. Calculate b(-6).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (11\/(-11))\/(33\/11)\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3 + 12. Calculate the greatest common factor of p and 36.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 85090359?\nAnswer: 3, 107, 265079","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = 5*a - 241, 8*n - 4*n = -4*a + 180. Let k be (6 - 3)*32\/3. Calculate the remainder when a is divided by (2 - 1)\/(2\/k).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = -5*g + 218, -2*a + g - 2*g = -150. Suppose 0 = 5*d + 5*k - 30, 0*k = d - k - 16. Suppose 0 = 2*b + 3*v - 27, d*b - v = 6*b + a. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = c**3 - 21*c**2 + c + 2. Let f be i(21). Which is smaller: 25 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/38 smaller than 17?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y + 7*y - 168 = 0. Let t be ((-16)\/y)\/(1\/(-3)). Suppose -1\/3 + k**t + 2\/3*k = 0. Calculate k.\nAnswer: -1, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3 + ((-16)\/(-4))\/(-4). Let s be 6\/(-9) - (-2)\/3. Let r(f) = 4*f**2. Let l be r(-1). Solve d = -l*w - 0*w - 19, 5*w - o*d + 27 = s for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00398584 to three dps.\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*d + 27 + 0 = 0 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-15)\/6*(-6)\/5. Suppose 5*w = -3*r + 4, -w + r + 12 = -4*r. Solve w*o + p = o for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8 - 8 - 5*w)*(-3*w + 4*w + 2*w) + 0*w**2 - 3*w**2 + 0*w**2 + 3*w.\nAnswer: -18*w**2 + 3*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 39 minutes after 8:59 PM?\nAnswer: 9:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(18)\/sqrt(36))**2 - (0 + -2*sqrt(2))) + -3.\nAnswer: -5\/2 + 2*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 7702985*r**4 - 10803561*r.\nAnswer: 92435820*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 7*b - 61. Let v be n(8). Suppose r = 2*d - 3*d - 45, d + 245 = -5*r. Let z be (5000*58)\/(v\/r). What is z rounded to the nearest one million?\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 185 is divided by 80?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/13*y**3 - 4\/13 - 6\/13*y + 0*y**2.\nAnswer: 2*(y - 2)*(y + 1)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 32160*x**2 + 4*x + 1. Let a be c(-8). Suppose 3*r + 7541806 = 5*u - a, -10 = 2*r. Round u to the nearest 100000.\nAnswer: 1900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4.61 - -4.6. What is the nearest to 2\/5 in -1\/5, u, 6?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -493\/3 (b) 5 (c) 16 (d) -0.1 (e) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 12) to base 7\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -9\/8? (a) 2\/20955 (b) 6 (c) 0.3 (d) 5 (e) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f**2\/4 - 276405*f\/4 - 69102 = 0. Calculate f.\nAnswer: -1, 92136","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 54 + -36. Let o be 4*-1*g\/(-4). Let c = o - 2. Solve -6 + c = 5*z for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*g**3 - 2*g**3 + 2*g**3 + (-4*g + 4*g - 3*g)*(6 + 29*g**2 - 6).\nAnswer: -85*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-40)\/8)\/(-20) + 30\/8. Let k(g) = 5*g + g**2 - y + 0*g - 4*g + 0*g. Determine k(0).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -3*t**2. Let w(c) = -393225*c. Calculate z(w(g)).\nAnswer: -463877701875*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1020 + 200121022?\nAnswer: 200120002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-40)\/(-6) + ((-80)\/24)\/5. Solve -l + 5 = -o*l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -54320, -108632, -162938, -217238, -271532, -325820?\n\"Answer: 3*a**2 - 54321*a - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.4 in -0.1, 2\/21, -14, 2?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 2608?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand -57*q**4 - 31*q**4 + 56*q**4 - 3*q**4 + 0*q**4 + 4*q**4 + (2*q - 2*q - q)*(2*q**3 + 0*q**2 + 0*q**2).\nAnswer: -33*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -v**3\/3 + 617760*v**2 - 1235519*v + 1853278\/3.\nAnswer: -(v - 1853278)*(v - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + 4*x - 13*x = 0. Solve -m + 7 = -2*q + 20, x = 5*m + 3*q + 13 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8015 is divided by 136?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven quarters of a millennium in months?\nAnswer: 33000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 22 in -6, -0.02, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19461 = -3*d + 3*o, -38*d + 39*d = 4*o + 6493. What is the tens digit of d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -381*w - 2693. Determine i(-8).\nAnswer: 355","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 266906*g**5*p**2 - 21*g**4 + 15936751*g*p**2 - 9*p wrt g.\nAnswer: 5338120*g**3*p**2 - 252*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 49\/156 and ((-1)\/6)\/(14*(-2)\/(-378)).\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 62 and 20?\nAnswer: 620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*5\/280*(-14)\/4.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 137086 is divided by 224?\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 16162215*r**4 - 9225187*r.\nAnswer: 193946580*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*s**3 - 106*s - 109*s - 2*s**2 + 3*s**4 + 4 + 314*s - 2*s**4 - 100*s as k + d*s**3 + i*s + v*s**2 + o*s**4 and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 64\/30 + 14\/525*-5. What is the third derivative of -13*m**2 + m**4 - 10*m**2 + 37*m**4 + 5*m**c + 1 wrt m?\nAnswer: 912*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14265591.3136 - -0.1.\nAnswer: -14265591.2136","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 26260 and 181598.\nAnswer: 23607740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3 (b) -0.1 (c) 0.1 (d) 5 (e) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (2\/(-6))\/(7*(-4)\/(-14)). Put 20, s, 1\/2, 1\/7 in decreasing order.\nAnswer: 20, 1\/2, 1\/7, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 2*j - 4*j. Let g be (-1)\/3*j\/(-17). Let p = -0.073 + 0.073. Is p >= g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3453168 divided by 863292\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 9311 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2230111 (base 5) to base 13.\nAnswer: 14c23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -59\/39518400 and 109\/20.\nAnswer: 39518400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 67 = 5*u + 2*k, -u = -4*k + 1. Calculate the highest common factor of u and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26646787 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*r**2\/5 + 21189147*r\/5 - 46616196.\nAnswer: 3*(r - 11)*(r + 7063060)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -5, -2, -2.3, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 6 = 2*w. Sort -0.4, -2, w, 1\/2 in decreasing order.\nAnswer: 1\/2, -0.4, -2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 - 24*i**2 + 1 + 18*i**2 to the form z + c*i + g*i**2 and give z.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 58239 + -40930. Let c = s + -8128. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2 + 1*(-9)\/(-3). Let k = 8 - i. Suppose -4*x - k*w + 27 = 0, 5*x - w = x + 7. What is the remainder when 4 is divided by x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*r - 2*r = -18 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(91)\/(-2*sqrt(7))*-5.\nAnswer: 5*sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/(v\/(v**(-4\/9)\/v)*v)*v)**(-1\/67) assuming v is positive.\nAnswer: v**(13\/603)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 150 is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 1, o: 1, m: 4, x: 2, i: 2, s: 2}. Give prob of picking 2 s and 1 o.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(600)*-2 + -3*sqrt(384))\/(sqrt(972)*-5 - (sqrt(12) - sqrt(588)*5)).\nAnswer: 2*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -10500 or -10517?\nAnswer: -10517","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 437660441 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Product of -6304 and 497.\nAnswer: -3133088","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -673*a + 134*a = 442*a - 42183 for a.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.393563945 - -0.4?\nAnswer: 0.793563945","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -100*f - 1 - 1 + 94*f - 4 - 1 to the form m*f + i and give i.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:38 PM and 3:21 AM?\nAnswer: 223","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -241813*f**3 - 2 + 3 + 241839*f**3.\nAnswer: 26*f**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(17) + 1)*2*-5.\nAnswer: 50 + 50*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 108095?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 988435?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 9.1 - 8. What is the smallest value in o, -2, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 11*p - 26. What is the remainder when a(8) is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6280560?\nAnswer: 2, 3, 5, 11, 13, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -200020 (base 5) to base 8.\nAnswer: -14164","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 4*k - 10. What is the lowest common multiple of k and (23\/(-7) - 1)\/((-12)\/56)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 159 + -156.89. Let l = k - 0.11. Sort -3, l, -0.1 in decreasing order.\nAnswer: l, -0.1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1)\/(-2)*(-1 + 1). Let u = -3.0325 + 0.0325. What is the nearest to l in 0.03, -4, u?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*w = 11*w + 3*z - 384, 4*w = -5*z + 513. What is the hundreds digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 89\/13596 and -31\/52?\nAnswer: 176748","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) be the third derivative of 25*k**4\/24 + 11*k**3\/3 + k**2 + 87*k + 15. What is t(3)?\nAnswer: 97","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.01? (a) -5 (b) 4 (c) -2889 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + (-2 - (4 - -2))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2\/15*n + 2\/15*n**2 + 0 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2032413030 (base 5) to base 13\nAnswer: -b37081","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -10 + 15. Suppose 5*s + 5*a = 4*s - 64, -w*a + 14 = -s. Which is smaller: -36 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/194, 1, 4, -5?\nAnswer: -1\/194","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = 28*f - 23*f + 24493, m - 24458 = -2*f. What is the highest common divisor of 12 and m?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 133.932 - -0.068. Let c = -134.003 + s. Let h = c + 0.003128. What is h rounded to five decimal places?\nAnswer: 0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 18 + 14?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 6? (a) 0.2 (b) 3.6 (c) 72\/221\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) be the first derivative of -2*b**5\/5 - 3*b**4\/2 - 4*b**3\/3 + 206. Solve a(j) = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 519?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 96\/10 - 2\/(-5). Suppose 0 = 2*u + 2 - p. Suppose -5*c - 63 = -0*w - 4*w, -54 = -u*w + 2*c. List 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 1181015515 to the power of 1\/5, to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 549 minutes after 10:37 AM?\nAnswer: 7:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7906.3 + -7502. Round i to the nearest 10.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -999, -988, -969, -942, -907, -864, -813?\nAnswer: -754","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -1125838, -2251716, -3377594, -4503472, -5629350?\n\"Answer: -1125878*y + 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 185, -714, -1767, -3052, -4647?\n\"Answer: -13*q**3 + q**2 - 811*q + 1008","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*f - 6*f - 680 = 0. Is f a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/25 or -359.2?\nAnswer: -359.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1071.\nAnswer: 3, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -17 - ((37 + -23 - 14) + -26 + 9)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 d and 1 v when four letters picked without replacement from ddvdvdvvvvvdd?\nAnswer: 28\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (-5*(sqrt(245) + 0)**2 - sqrt(245)*-1*2))*-4*1.\nAnswer: -56*sqrt(5) + 4900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*k**2 - 3*k**2 + k**3)*(251 - 122 - 127 + 9*k).\nAnswer: 9*k**4 + 2*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2a (base 14) to base 2.\nAnswer: 100110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 55\/(7425\/18)*((-12)\/(-10))\/(72\/(-2610))?\nAnswer: -29\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 5, -3475, 6 in descending order.\nAnswer: 6, 5, -4, -3475","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1141105, -1140505, -1139917, -1139347, -1138801, -1138285?\nAnswer: -1137805","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is seventy-five halves of a millimeter in micrometers?\nAnswer: 37500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*r - 3165611 - 6674959. Let q = 2800285 - r. Round q to the nearest 100000.\nAnswer: -2100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 76 - 75. Let k = 2.04 - 0.04. Which is the second smallest value? (a) t (b) k (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q + v + 64 = 0, 3*q - 15*v + 36 + 29 + 39 = 8 for q.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13351 (base 8) to base 10.\nAnswer: -5865","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -25 (base 8) to base 2.\nAnswer: -10101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 6*y + 16. Calculate h(-2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = h**3 + 15*h**2 - 186*h - 43. Give g(-23).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -p**2\/3 + 16*p\/3 + 19.\nAnswer: -(p - 19)*(p + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is l in -2*l**2\/11 + 3032*l\/11 - 1149128\/11 = 0?\nAnswer: 758","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o = -2*v - 30, -o + 0*o + v = -10 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that -4*p**4\/3 + 1256*p**3\/3 - 30788*p**2\/3 + 242704*p\/3 - 185856 = 0.\nAnswer: 4, 11, 288","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 880 - 880.000095. Round t to five dps.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*u + 152289 + 2114*u**2 + 2441*u**2 - 152291 + 6*u.\nAnswer: 4555*u**2 - 5*u - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -2*r - 18. Let i be p(-12). Suppose -3*q - 2*q = -15. Solve -w + i = q for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 11\/(44\/(-1240)) - 3. Let s = 14 - o. What is the units digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) -0.5 (b) 10 (c) -0.1 (d) 3\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = 933 + 357. What is the units digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + 4 + sqrt(396) + -1.\nAnswer: 6*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -4, 6\/7, -2, -5, -13\/14, -6?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -8 + 5 + 10*k**3 - 36*k + 36*k as c*k**2 + p + t*k + s*k**3 and give s.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1430 divided by 13?\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 31488\/(-2296)*(-56)\/176.\nAnswer: 48\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = u**3 + 5*u**2 - u + 10. Let p be f(-5). Round p to the nearest 10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*t**2 - 2*t**3 + 5*t**2 + (3*t**2 - 4*t**2 + 0*t**2)*(4*t - 4*t + 5*t) + (3*t**3 + t**3 - 3*t**3)*(1 + 0 + 0) - t**2 + t**2 - 3*t**3.\nAnswer: -9*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -18 + (-1 - -16) + -9 + 1?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/156*-13)\/((-1)\/22)?\nAnswer: 11\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -759, -2002, -3229, -4434, -5611, -6754, -7857?\n\"Answer: k**3 + 2*k**2 - 1256*k + 494","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -4*o - 11. Let k be w(-7). Let t be k\/136 + 16729\/(-8). Let b = t + 1131. What is b rounded to the nearest 100?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that -15*f**2 + 609295*f + 203100 = 0.\nAnswer: -1\/3, 40620","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - 32 = -160. Suppose -8 = -2*k + u. Let q be (-2 - -1)\/(2\/(-6)). Solve -a - q*a = -k for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gd when two letters picked without replacement from {j: 1, q: 1, d: 2, g: 1, x: 2}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = b**2 - 7*b. Let y(l) = l - 1. Let d be y(3). Let n = -370 + 365. Let c = d - n. Calculate u(c).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-12)\/3)\/(-2) + -2. Suppose v = -4*f - 8 + 4. What is the biggest value in -4, f, -5?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33357 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8 - -5) + (-1 - -1) + 16.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = h**2 + 13*h - 6. Let r be v(-15). Let j = -16 + r. What is the remainder when (-13)\/(1\/((-3)\/3)) is divided by j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:00 AM and 2:48 PM?\nAnswer: 408","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-13 + 14 + -2 - 6) + (-7 - -12) + -92?\nAnswer: -94","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = -2 - 22. Suppose -3*l + o = -l. Suppose h + 2 = n, -6*h + l*n - 12 = -h. Which is bigger: -4 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 115, -87, 44, 3, 6 in decreasing order.\nAnswer: 115, 44, 6, 3, -87","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -71808 divided by 138?\nAnswer: -11968\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -159.6 - -158. Let x = 1.1669 - -0.4263. Let o = x + u. Round o to three decimal places.\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 10394?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.349*-0.55.\nAnswer: 0.19195","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u and 1 h when three letters picked without replacement from {e: 1, v: 2, s: 2, u: 6, h: 1, f: 3}?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dxxxdxxxddxxddxxdddd. What is prob of picking 4 x?\nAnswer: 14\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mrgso. Give prob of sequence rgs.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a - 6 = -4*b, -95*b + 101*b = -2*a - 2 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*n**4 - 55*n**3 + 4958*n**2 + 2397246.\nAnswer: -8*n**3 - 165*n**2 + 9916*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -861253, -1722317, -2583381, -3444445?\nAnswer: -4305509","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (140\/840)\/((270\/15)\/(-6912))?\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 83 is divided by 22?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4 + -3. Let o = 115 - 114. Which is the closest to k? (a) -2\/9 (b) o (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -158a + -4?\nAnswer: -1593","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 471705?\nAnswer: 3, 5, 13, 41, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 143*q + 16 - 32 + 11 - 144*q + 69*q**2 in the form p + v*q**2 + t*q and give p.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 2 = s, 5*y - 2*s = 2*y - 4. Let v = 774952 + -774956. What is the closest to y in 0.4, v, 5\/3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*r + 28 + 8 = 0. Let j = 1\/2 + 38. Find the common denominator of 183\/(-60) + r\/(-6) and j.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*x - x**2 + 3*x**2 - x**2)*(-2*x + 4*x - 4*x).\nAnswer: -2*x**3 - 4*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2 + 11232021121?\nAnswer: 11232021123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 67 - (-37 - 21) - 40.\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1279 - 1277.9. What is the second biggest value in v, 4, 0.3, -2\/7?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 20494634 to the nearest integer?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*c*k**3 + 3*c*k*y + 13*c*y**3 + 5*c + 2*k**3*y**2 - k**3 with respect to y.\nAnswer: 3*c*k + 39*c*y**2 + 4*k**3*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = i. Let w = 76 + -74. Suppose 0 = -r + a, -w - 3 = r + 4*a. Let y(z) = 4*z + 2. Give r*y(t) + 5*s(t).\nAnswer: t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(10)\/(sqrt(5)*-2)*2 + sqrt(22)\/(sqrt(891)*2 - sqrt(891) - sqrt(11)).\nAnswer: -7*sqrt(2)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7086?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) 2\/5 (b) 0.026 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t**(5\/6)*t**(-1\/4)*t*t)\/(t*(t\/(t*t*t\/(t*t**(-3\/7)))*t)\/t*t**(1\/3)) assuming t is positive.\nAnswer: t**(103\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -10598 + 18944. What is the hundreds digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1632 is divided by 102?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2311*l**3 - 2399*l wrt l.\nAnswer: 13866*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 189\/126*(2 - 0). Let v(w) be the second derivative of w**4\/12 - 2*w**3\/3 + 2*w**2 - 2*w - 41. Calculate v(p).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.6, -8861, -2, 2\/7, 0.1 in descending order.\nAnswer: 2\/7, 0.1, -0.6, -2, -8861","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 54, 51, 46, 39, 30, 19?\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9, 9, 67, 189, 399, 721, 1179?\nAnswer: 1797","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 785*j. Let d(z) = -193512*z**2. Give p(d(i)).\nAnswer: -151906920*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 421 minutes before 2:45 AM?\nAnswer: 7:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (-176)\/440*(-1440)\/(-18)\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 24, 2, -43, -331 in ascending order.\nAnswer: -331, -43, 2, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1272877408 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3 + 3.1. Suppose 0 = 3*z - n + 9, 0 = 2*z + 3*n + 6 - 0. Let o(y) = y**2 + 2*y - 4. Let c be o(z). What is the third smallest value in 1, c, a?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5) + 1)**2*-5 + -6*(1 + sqrt(5)).\nAnswer: -36 - 16*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -111 (b) -0.5 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 + (-35)\/8*(-1 - 285\/(-75))?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) be the first derivative of 0*p**3 + 0*p**5 + 33 + 0*p - 7\/6*p**6 + 16*p**2 + 0*p**4. Find the second derivative of h(n) wrt n.\nAnswer: -140*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -4*d**3 - 53*d**2 + 56*d + 199. What is z(-13)?\nAnswer: -698","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3110 - 1539 = -16*r + 1555 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 (base 5) in base 11?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1 + 0. Suppose 0 = -8*t - 5*t. Sort t, u, 5 in decreasing order.\nAnswer: 5, t, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6195067 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 1197?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4 + ((-768)\/171 - -1). Let j = v + 3\/19. Let x = -69\/5 - -14. Which is the closest to j? (a) -1\/5 (b) 0 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11939555.\nAnswer: 5, 2387911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 14 - 14 = -4*k, j = -5*k - 1. Which is bigger: j or 6?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 198087 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 113 divide 202383?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 13022589?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 - 2*m**2 + 92*m**2 - 200*m**2 + 75*m**2 + 3*m**2 - 3*m**2 - m**2 + (m + m + 0*m)*(0*m - 3*m + m))*(4*m + m - 4*m).\nAnswer: -40*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) be the third derivative of o**8\/336 - 59*o**7\/105 + 77*o**4\/24 + o**3\/6 + 11*o**2 + 36. What is the second derivative of n(r) wrt r?\nAnswer: 20*r**3 - 1416*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -102 + 223. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11878343.\nAnswer: 11878343","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4957 to the nearest integer?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + -1*(sqrt(1584)*2 + sqrt(1584)))**2.\nAnswer: -144*sqrt(11) + 14260","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 82 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 3*t**2 + t + 1. Give u(-2).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*r + r - 110. Let g(h) = -3*h**2 - h + 8. Let i be g(0). Suppose -r*b = -i*b - 50. What are the prime factors of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 232009 and 6?\nAnswer: 1392054","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 15 + 35b316?\nAnswer: 35b32b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 101, -1, -307, -817, -1531?\n\"Answer: -102*x**2 + 204*x - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 1535\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -31*o + 2671. Let d(v) = -25*v + 2671. What is -5*d(g) + 4*m(g)?\nAnswer: g - 2671","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 349\/5 (b) -0.1 (c) 1 (d) 0.4 (e) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 479, -3\/5, -2\/19?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) -2\/19 (b) 5\/4 (c) 4 (d) -8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = j + 3. Let y(q) be the third derivative of -q**4\/24 - 2*q**3\/3 - 11*q**2. Let l be y(4). Calculate a(l).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -824 at most as big as -837?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1089 - 736. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 9, 26, 59, 108?\n\"Answer: 8*v**2 - 7*v + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-55)\/11*(-3)\/3. Solve 8*r - l*m = 12*r + 6, -4*m - 12 = 5*r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) be the second derivative of 10*a**3\/3 - 7*a**2 - 5*a. What are the prime factors of z(4)?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -29.37*18\nAnswer: -528.66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 90?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 31066458?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 6, n: 1, b: 4, e: 2}. Give prob of sequence xb.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 120, 4, 3, 14, 9?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -54 - -56. Suppose n - 11 = -3*p, -v + 3*p = -99. Suppose v = 3*d + 3*o, -3*d + 2*d = -5*o - 30. What are the prime factors of d?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2810099 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -11 - -344003010?\nAnswer: 344002444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -r - r - 5*s + 60, 0 = r - s - 30. Suppose 0 = 4*o - m - 232, o - 3*m = r + 39. Let z = 80 - o. What is the highest common factor of 23 and z?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4338901066.\nAnswer: 2, 19, 114181607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -195 + 292. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 223538, 894145, 2011824, 3576575?\n\"Answer: 223536*u**2 - u + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o**(-3\/10)*o*o)\/(o*o\/(o\/o**(-9))))\/(o**2)**(-47))**(-26) assuming o is positive.\nAnswer: o**(-13481\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 662689 to the nearest 1000.\nAnswer: 663000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + (-5 - 3) + 4 + 3?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.3 - -0.25. Let w = -96335\/4 + 24083. Sort -7, f, w in increasing order.\nAnswer: -7, w, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1060?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h + 5*j - 20 = 0, 2*h - 4 = 7*h - j for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/7*x**4 + 2\/7*x**3 - 1\/7*x**5 - 1\/7*x + 1\/7 - 2\/7*x**2.\nAnswer: -(x - 1)**3*(x + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2870425901 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (13*m - 6*m + 10*m)*(-199 + 0 - 27) in the form a*m + k and give a.\nAnswer: -3842","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -7*r**3*w**3 - 2*r**3*w**2 + 5*r**3 - 14*r**2*w**3 + 121*r**2 - 10564*r*w**3 + r*w**2 + 122*w wrt w?\nAnswer: -42*r**3 - 84*r**2 - 63384*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*a = 4*a + 133 for a.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, y: 1, j: 2, s: 2, l: 1}. What is prob of picking 2 s?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 32, 0.5, -0.12, -13\/7 in decreasing order.\nAnswer: 32, 0.5, -0.12, -13\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -4 + ((-224)\/120)\/(-28) and -89\/642.\nAnswer: 3210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -20, -41, -84, -155, -260, -405, -596, -839?\nAnswer: -1140","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (124\/10)\/((305\/40 + -8)*(-1136)\/2130).\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 i when three letters picked without replacement from ddqqlddiiqqiddidqqi.\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -2*j. Let i(n) be the third derivative of -n**4\/6 + 5*n**3 + 109*n**2. Give i(w(u)).\nAnswer: 8*u + 30","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*l - 4, 3*m + 0*l = 3*l - 9. Let v be m\/2 - (11 - 14). Let y(b) = -5 + 8 - v - b. Calculate y(8).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = t**3 - 8*t**2 + 9*t - 10. Let i be (4 - 7) + (10 - 0). Let u be r(i). Factor -j - 1\/4*j**u - 1\/4 - j**3 - 3\/2*j**2.\nAnswer: -(j + 1)**4\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -49, -53, -69, -103, -161, -249?\nAnswer: -373","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -632*a**3*w**2 - 71*a**3 - 2*a**2*w + 5 wrt w.\nAnswer: -1264*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 402, -1\/3, -8394 in decreasing order.\nAnswer: 402, -1\/3, -8394","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = u**2 + u + 1. Let a = -79 + 74. Let l(c) = 3*c**2 + 4*c + 4. Suppose o + 4*n = 32, -5*o + 5*n + 85 + 0 = 0. Determine a*l(z) + o*s(z).\nAnswer: 5*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-17)\/(65875\/(-4400)) + (-2)\/(-31).\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 30.84 - 31. Let n = 0.36 + z. Which is the third smallest value? (a) -0.1 (b) 1\/2 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 546, 4452, 15060, 35724, 69798, 120636, 191592?\nAnswer: 286020","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13716?\nAnswer: 2, 3, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = 2*w + v - 75, 4*w + 3*v = 73. Solve w + 1 = -4*x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000492916122 to seven decimal places.\nAnswer: -0.0000049","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = q**3 - 10*q**2 + 9*q + 8. Let n be ((-3)\/(-2 + 5))\/(6\/(-54)). Calculate h(n).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4\/52*-4 + 14\/91. Let k = 2 - 2.3. Let s = k + -0.2. Put s, f, 0.5 in increasing order.\nAnswer: s, f, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -8*v. Let n(d) = 14354*d + 14338*d - 28701*d. What is t(n(b))?\nAnswer: 72*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fifty-one quarters of a litre?\nAnswer: 12750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/(-12) - (-78)\/36. Factor 18*f**2 + 4*f - 50*f**2 + f + 13*f**g + 14*f**2 + 210.\nAnswer: -5*(f - 7)*(f + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -69 - -51. Let k = d + 34. Calculate the remainder when 63 is divided by k.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 148*d + 46. Let t(i) = 149*i + 47. Let u(x) = -2*m(x) + 3*t(x). Is u(8) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -4*t**2 + 172*t + 6. Let s(k) = 3*k + 2. Calculate -n(q) + 2*s(q).\nAnswer: 4*q**2 - 166*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 q when two letters picked without replacement from {q: 1, x: 5, z: 1, a: 2, k: 3, g: 3}?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = p - 9, -3*p = 5*q - 19. Let n = 73 + -112. Let m = n + 55. Solve -o - 5*j = -5*o + m, 0 = -q*o + 2*j + 8 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 37 - 31. Differentiate -s + 15 + 2*w + w - 8 wrt w.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1715990.58 rounded to the nearest 100000?\nAnswer: -1700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = w**3 + 0*w + 1 + w**3 - 3*w**3 + w**2 + w. Let y be a(-2). Let v = y + 7. What are the prime factors of v?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 184*q**3 - 91*q**3 - 87*q**3.\nAnswer: 6*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*o + 5*n - 10, -5*o - 5*n + 3*n + 4 = 0. Suppose o = -r - 7*r + 528. What is the greatest common divisor of 44 and r?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*z = 25*z - 120. What is the greatest common factor of 12 and z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 176 and 2552.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1489 (base 11) to base 5.\nAnswer: 30122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -420 (base 16) to base 11.\nAnswer: -880","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3995 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - h + 1 + 1 = 0, 3*a = h + 6. What is l in 3*l - 6*l**a - 5*l + 0*l**4 + 4 - l**4 + 3*l**4 + 2*l**3 = 0?\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in three tenths of a millennium?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4406 to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 5339153227 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (sqrt(2736) + 1*sqrt(2736) + -2 + 4 + -1*sqrt(2736) - 4*(-3*(1 + sqrt(2736) + sqrt(2736)) + sqrt(2736) + (sqrt(2736) + 1 - sqrt(2736))*4)))**2.\nAnswer: -3024*sqrt(19) + 1206612","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -0.02 times -0.058\nAnswer: 0.00116","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/(12\/10)*1422\/(-55 - 24)\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 - 3)*((4 - 5 - 3)*(-1 + 1 + p) - 23 + 23 - p).\nAnswer: 10*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6 and 242?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1b - 60a03?\nAnswer: -60a22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.4 in 0.4, 30.7, -2, 1\/5, 15?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*z - 4*z + 290. What are the prime factors of z?\nAnswer: 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = i**2 - 8*i - 6. Let h be g(7). Is ((-106)\/4)\/(((-13)\/(-14))\/h) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -x**3 + 8*x**2 - 6*x - 8. Let z be o(2). Put z, -2, -1, 128 in ascending order.\nAnswer: -2, -1, z, 128","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -65\/18845289 and -14\/996795.\nAnswer: 1601849565","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 1 + 1 + 85*p - 3 + 0. Let z be t(-2). Let b = z + 758. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 56098024 and 8?\nAnswer: 56098024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -k + 11. Let d be h(10). Let p(r) = -7*r + 1. Let q(b) = -1. Determine d*q(j) + p(j).\nAnswer: -7*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 8 and 4?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 12*z**2. Let x(p) = 37*p + 44*p + 35*p - 121*p. Give x(j(l)).\nAnswer: -60*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-26*282\/(-390))\/(14\/7).\nAnswer: 47\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.397 + 0.003. Put v, 4, -8 in descending order.\nAnswer: 4, v, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*f + 2*y + 2, -2*f - 3*y - 4 - 2 = 0. Suppose 0 = f*d - 2*d. Let s(a) = 0*a + 7 + a**2 + a + 5 + 2*a**3 - 3*a**3 - 1. What is s(d)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26*h**3 - 47*h**3 - 36*h**3.\nAnswer: -57*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide -16548 by -21.\nAnswer: 788","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aaaastzzasssaxs. Give prob of picking 2 z.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 < -2\/203998385?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2960683, 5921778, 8882873, 11843968, 14805063?\nAnswer: 17766158","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - s = 12. Suppose -9 = -o - 2*o. Solve 2*j = o*j + s*i + 2, -4*i - 8 = 4*j for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1\/40 and -89\/160?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 54185*o**2 - 2871895*o + 4770 = 0.\nAnswer: 18\/10837, 53","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 6*l**3 + 5*l**2 + 5. Suppose -24*y + 1376 - 872 = 0. Let r(m) = 21 - 5 + 17 + 21*m**2 - 12 + 24*m**3. What is y*i(p) - 5*r(p)?\nAnswer: 6*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -187.622 + 153.6376. Let u = 34 + d. What is u rounded to three dps?\nAnswer: 0.016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -46642032 divided by 5830254?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 159*w*y - 17687*w + 5*y - 1235929 wrt w?\nAnswer: 159*y - 17687","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 250726*o**2 + 3*o - 2*o + 0*o - 395 - 250724*o**2 in the form m*o + c*o**2 + j and give j.\nAnswer: -395","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) be the third derivative of -d**8\/1848 + d**7\/231 + 13*d**6\/660 - 29*d**5\/330 - 6*d**4\/11 - 12*d**3\/11 + 1302*d**2. Solve c(x) = 0 for x.\nAnswer: -2, -1, 3, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 2*y**2. Let t = 4 - -6. Let p(j) = 1. Let x(l) = -2*l - 10. Let g(b) = t*p(b) + x(b). Determine s(g(o)).\nAnswer: 8*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 245769 is divided by 18?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.0523621 - 2199.3176379. Let p = w - -2185. Let u = -13.5 - p. What is u rounded to 1 decimal place?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 528 minutes after 7:03 AM?\nAnswer: 3:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of -6 + 658611\/45 + 4\/20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 54\/129403?\nAnswer: 54\/129403","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 757.1099 millilitres in litres?\nAnswer: 0.7571099","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2.27, -4\/51, -2\/3, 5\/7 in ascending order.\nAnswer: -2.27, -2\/3, -4\/51, 5\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) be the second derivative of 0 + 0*f**2 - 1\/3*f**4 + 0*f**3 - 4*f. Let q(c) be the second derivative of c**4\/4 + 54*c. What is y(q(m))?\nAnswer: -36*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 8.9 + 28.1. Let k = l - 37.2. Sort -0.6, 1\/3, k in decreasing order.\nAnswer: 1\/3, k, -0.6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -169989*f*w**3 + 406558*f*w**2 wrt w?\nAnswer: -1019934*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 188 = -33. Suppose 24*p = z*p - 189. What are the prime factors of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -4*k + 6. Let y(j) = 5*j - 7. Let v(w) = -3*w + 21. Let z be v(9). Determine z*o(f) - 5*y(f).\nAnswer: -f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 293224 - 175547. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 18.8 + -18. Let p = q + -5.8. Sort p, 0, 2 in descending order.\nAnswer: 2, 0, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -h**3 - 3*h**2 - 6*h - 13. Let r = 43 + -48. Is s(r) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-48 + (-1086547)\/(-22638))*(-3 - -9)?\nAnswer: -1\/49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 2*c. Let q(s) = -s. Let z(m) = -6*n(m) - 5*q(m). Let h(v) = 2*v**2 - 6*v + 14. Let y be h(4). Let d(f) = -2*f. Give y*d(g) - 6*z(g).\nAnswer: -2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*k**2 - 296*k - 9408.\nAnswer: 4*(k - 98)*(k + 24)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Do -2398480 and -2398479 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -9511*c - 9499. Determine d(-1).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4908*p - 4908*p + 5*p**2.\nAnswer: 5*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 62 divided by -8462627.\nAnswer: -62\/8462627","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 414023?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -416 < 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 21 + -13. Suppose -12 = -0*s - 3*s. Let x be ((-2)\/s)\/((-2)\/8). Solve -2*y + q = -x for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (49 + 8325\/(-180))*(8\/1)\/2. Let v(t) = t**3 - 4*t**2 - 5*t + 6. Let c be v(5). Solve -b*y + 10 = -c*y for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-5 + sqrt(63))**2.\nAnswer: -180*sqrt(7) + 528","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -4*o + 22 + 14. Solve 0 = z + o*z - 5*p - 25, 3*z + 4*p = -13 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = m - 14, -4*m + 20 = -0. Suppose -3*x + 18 = -0*n - v*n, -5*n = -4*x + 28. Solve 1\/6 + 0*d + 1\/6*d**4 + 0*d**3 - 1\/3*d**x = 0 for d.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (485\/194)\/((-2)\/844). Let v = x + 2022. What are the prime factors of v?\nAnswer: 967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -330a4a (base 11) in base 8?\nAnswer: -2007724","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 12 - 20. Let b = 10 + a. Let l = -1.5 + b. What is the nearest to 1 in -0.2, -0.5, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**8*w*w*w*w)\/w*w*w*w**(-2\/17)*w*w*(w**(2\/9))**(-3\/38) assuming w is positive.\nAnswer: w**(14404\/969)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8 + 6 + -4 - (18 + -23)) + -25?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 7\/2 <= -1\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 0.4, -4\/9, 0.3, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 268*f**2 - 25*f + 19. Let z be m(4). What is the highest common factor of z and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(-15)\/(s\/s**(-3))*(s**(-7))**(-8) assuming s is positive.\nAnswer: s**37","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -q**3 - 3*q**2 + 3*q + 3. Let d be v(-2). Let z(j) = -j**2 - 6*j + 1. Let g be z(d). What are the prime factors of g\/4*120\/(-18)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*m**3*t**3 - 2*m**3*t**2 + 2*m**3*t - 8*m**2*t - 9*t**4 wrt t?\nAnswer: 18*m**3*t - 4*m**3 - 108*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 0 = 8. Suppose r - 13 = 2*s, 3*r = 6*r - s - 19. Put -4, y, r in increasing order.\nAnswer: -4, y, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31\/2 of a gram in milligrams?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = u**2 - 4*u - 6. Let w be l(5). Let p = -10 - -5. Let z = -6989.06 - -6990.36. What is the third smallest value in p, w, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10000001 (base 2) in base 9?\nAnswer: -153","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 12202 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = x + 104. What is the least common multiple of y(-24) and 90?\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -362782, -730274, -1097766, -1465258, -1832750, -2200242?\n\"Answer: -367492*u + 4710","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47*m - 19*m = 112. Suppose 248 = m*z - 4*h, -55*z + 5*h = -60*z + 330. What is the remainder when 317 is divided by z?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -5374560, -10749129, -16123696, -21498261, -26872824, -32247385, -37621944?\n\"Answer: m**2 - 5374572*m + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/8*((-1824)\/(-133))\/(-3).\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 143 and 32869254.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) be the third derivative of l**6\/30 + l**5\/5 + l**4\/3 + 3*l**2. Find v such that p(v) = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is u in 26\/5*u + 1\/5*u**3 + 19\/5*u**2 - 136\/5 = 0?\nAnswer: -17, -4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 277 minutes before 9:13 AM?\nAnswer: 4:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1763*l**2*t - 3*l*t - 8*t - 1018 wrt l?\nAnswer: 3526*l*t - 3*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p\/(p*p**(-5\/6))*p*p*(p*p**(-5\/3))\/p*p*p*p*p assuming p is positive.\nAnswer: p**(31\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*z**4 + 25470*z**3 + 43248060*z**2 + 24478401960*z.\nAnswer: 5*z*(z + 1698)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*s - 22*s**2 - 80*s**2 + 5*s.\nAnswer: -102*s**2 + s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xbn when three letters picked without replacement from nzxnbnnnn.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(1 + (-3 + sqrt(684) + -2 + sqrt(684) - ((sqrt(19) - 1*sqrt(19)) + 4 - (sqrt(19) + (sqrt(152)\/(-2*sqrt(8)))**2)))) + 0.\nAnswer: -65*sqrt(19) + 65\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -3*m - 6. Let d be z(-4). Suppose 2*n = d*n. Put n, -5, -13 in descending order.\nAnswer: n, -5, -13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 122112 - 123201?\nAnswer: -1023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 533, 1067, 1601, 2135?\nAnswer: 2669","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = -31*o + 29*o - 4*w, 0 = -o - w + 1 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 64422118 plus 32433?\nAnswer: 64454551","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*m + 18 - 18)*(-4 + 3 - 1)*(3053 + 1563 + 1751 - 614 + 4937).\nAnswer: 85520*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1554685 + 1112587 = 182*v + 573180. What is the units digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 13\/(-5) + 38\/(-95). Let d be (k + 3)\/(2*(0 - 1)). Suppose 7*b = 2*b + y + 451, -5*b - y + 449 = d. Calculate the greatest common factor of 15 and b.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 11 + -5?\nAnswer: b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-295)\/1534)\/((-5)\/72))\/((-4)\/(-26))?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + (-20 + -11 - (-50 + 13))?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) be the third derivative of -a**5\/60 - a**4\/12 + 27*a**3 + 4*a**2. Let o be b(0). Let k = o + -79. Is 25 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1046 + 1050. Sort v, 2, -8, -5.\nAnswer: -8, -5, 2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19987 to the power of 1\/2, to the nearest integer?\nAnswer: 141","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -359*m**3 - 6451 + 296*m**3 + 6451.\nAnswer: -63*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1.4, 0.4, 96, -0.5 in increasing order.\nAnswer: -1.4, -0.5, 0.4, 96","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 372 minutes after 3:45 AM?\nAnswer: 9:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20511.\nAnswer: 3, 43, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 3*q**2 + 1. Let b be a(-1). Suppose -b*w + 18 = 2. Solve -w*y - 8 = -0 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00487397 to three decimal places.\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -h**3 + 9*h**2 - 2*h + 8. Suppose 0 = 2*g - 5*x - 2, -77*x = 3*g - 80*x - 12. Give t(g).\nAnswer: 104","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = 5*o + 1635443, -3*u = 4*o - 495500 - 731059. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 22456?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 2*s**3 + 2*s - 4*s**3 - 12 + 6 + s**3 + 4*s**2. Let z be d(4). Solve -z*b = -6 - 2 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 860671 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*i + 3*f, 12*f - 4 = -5*i + 16*f for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -119, -118, -117, -116, -115, -114?\n\"Answer: z - 120","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*n + 1442 = -7*n. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1291445.\nAnswer: 5, 173, 1493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 54.3 in -316, -3, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/(y**(-3\/19)\/y))\/(y*y**30))\/(((y*y**(-31)*y*y)\/y)\/(y\/y**(3\/10)*y*y)) assuming y is positive.\nAnswer: y**(543\/190)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -36222*931\nAnswer: -33722682","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26758 is divided by 1085?\nAnswer: 718","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -47\/141025 and 19\/300.\nAnswer: 1692300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(250) - 1*sqrt(250))\/sqrt(10))\/sqrt(5))**2 - (-4 + ((sqrt(10)*3)\/sqrt(2))**2).\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 530 minutes before 3:43 PM?\nAnswer: 6:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -15475557746 + 15475559764.0000941. Let i = x + -2018. Round i to 5 dps.\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(63)*1*2)\/(sqrt(72)\/(sqrt(16)\/sqrt(2))).\nAnswer: 2*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) be the first derivative of -8*s**3\/3 - 46. Let o(u) = 8*u**2. Determine o(q(b)).\nAnswer: 512*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -103, -168, -79, 326, 1209, 2732, 5057, 8346?\nAnswer: 12761","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 l when two letters picked without replacement from lrgnn?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -9822 - -942913\/96. What is the fourth smallest value in 2\/39, u, -3, -2?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 2113 = 1507. What are the prime factors of k?\nAnswer: 2, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 8*z - 7*z. Suppose 0 = -5*d + 2*l - 2, z*d + 5*l = l + 4. Factor d - c - 1\/3*c**2.\nAnswer: -c*(c + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*p**3 - 376*p**2 - 744*p.\nAnswer: -2*p*(p + 2)*(p + 186)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*sqrt(121)\/(sqrt(11)*1 + sqrt(11)).\nAnswer: -3*sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 47276219521 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -2*g**3 + g**2 - 10*g - 6. Let n be i(-7). Let l = -551 + n. What is the highest common factor of 31 and l?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 b when two letters picked without replacement from {z: 1, m: 10, i: 1, b: 3, s: 4}.\nAnswer: 10\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 16*m - 2. Let d be 24\/9*(2\/4 + 1). Let q be t(d). Suppose -3*k = -4*s - 0*k + 313, s - 4*k = q. Is 26 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -14*l - 8. What is s(-1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-6)\/(-7))\/(4\/28). Suppose 2*n = -2*y + a*n - 10, -5*n = -5. Put -5, -1, y, 5 in descending order.\nAnswer: 5, -1, y, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2563\/3 - -12809\/15. Let n = -0.13 - -0.18. What is the closest to 3 in t, -3, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -7 + 31\/4. Which is the third smallest value? (a) 6 (b) -2 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 - 3 = 5*m. Let g = 543.17 + -543. Let n = -27.9 + 28. What is the third smallest value in m, n, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20467 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -37, -1.5, 1, -0.4, 0.2?\nAnswer: -1.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*o = -103 + 43 for o.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + 47 + -51 + (2 - 0 - 5)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -j - 5*j + 72. Suppose 12*w - j = 9*w. Solve -y + w = -0*y for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 13*a*m**2*v**2 - a*m**2*v - 2*a*v**2 + 54*m**2 + 1806*m*v**2 wrt m.\nAnswer: 26*a*v**2 - 2*a*v + 108","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26*f + 20*f**2 + 26*f - 12494 + 12494 - 66*f**2.\nAnswer: -46*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5.06 - 0.06. Let t be (9\/3)\/((-45)\/(-6)). What is the third smallest value in d, t, -5?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -158, -159, -160, -161, -162?\n\"Answer: -b - 157","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1 + 0.91. Let s = 0.91 - g. Which is the smallest value? (a) -0.1 (b) s (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -47*b - 4854. What is p(-44)?\nAnswer: -2786","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.1 or 0.042?\nAnswer: 0.042","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 27\/14519?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -145\/4662 and -119\/370.\nAnswer: 23310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 4*u - 1. Suppose -10 = -5*d - 2*j, -3*d + j = 4 + 1. Let g be 2 - 2 - -3 - d. Is v(g) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -4 - ((-2)\/(-1) - 4). Let y(k) = k + 1. Let d be y(b). Let a = d + 2. Is -1 at least a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 n when two letters picked without replacement from {l: 1, n: 10, w: 4, b: 3}.\nAnswer: 40\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) be the first derivative of -2*z**6\/15 - z**3\/2 + z - 3. Let t(u) be the first derivative of o(u). Find the second derivative of t(s) wrt s.\nAnswer: -48*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - h + 56 = -2*u, 2*h = -5*u - 280. What is the units digit of (-32)\/u + 3095\/35?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 709.158 to the nearest ten.\nAnswer: 710","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 61 = 40. Calculate the common denominator of 3\/(-63)*w*50\/(-22) and 149\/36*(-2 + -1).\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = -d + 4, 0 = 3*d - 5*q + 5 - 0. Solve v + 6 - 1 = d for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*s + 4*l = -17*s + 98, -2*s = -5*l - 59 for s.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g - 3*r - 15 = 0, 152*r = -4*g + 154*r + 10 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -t**3 - 14*t**2 - 5*t - 7. Let u be r(-14). Calculate the greatest common divisor of u and 18.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 32817281\/5 or 6563457?\nAnswer: 32817281\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(75)*3 - sqrt(54)\/sqrt(2))**2.\nAnswer: 432","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 6\/5 (b) -10 (c) 5 (d) 4\/3 (e) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -35*i + 279. What is r(9)?\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 13402240243 (base 5) in base 4?\nAnswer: 1001231330311","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -42 + 77. Suppose 2*q + 3*h = 8, 0 = 5*q + 4*h - g + 1. Does 5 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*p = 6*p + 212. Let d = -19 + p. What is the third derivative of -61*u**5 + 26*u**5 + 15*u**2 + d*u**5 wrt u?\nAnswer: -60*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.03, 3, -0.1 in descending order.\nAnswer: 3, -0.03, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(98)\/sqrt(63))\/sqrt(2) + ((sqrt(70) + sqrt(70) + -1*sqrt(70)*-2 + sqrt(70) - sqrt(70))\/sqrt(10))**2 + -4)*1.\nAnswer: sqrt(7)\/3 + 108","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*v + 71*v - 159 = 0. Solve 2*n = 0, -v*l - 15 = -0*l - 4*n for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l + 180*v - 31 = 181*v, -26 = -5*l - 2*v - 169 for l.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20 + 50 = 6*x for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 257 is divided by 65?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(1\/7)*i*i*i**(-1\/5)*(i*i**(-1\/3))\/i*i\/(i*i**(-4)) assuming i is positive.\nAnswer: i**(589\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000057 to seven dps.\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 124432 - -3?\nAnswer: 124435","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(-14)*11*10\/55\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 317 minutes after 6:03 PM?\nAnswer: 11:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1444*c - 1015 + 616 - 231 - 1119 with respect to c.\nAnswer: -1444","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (23\/((-69)\/(-15)))\/(25\/(-40)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-16)\/(-2))\/32*2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-6)\/(-1) - -62*2\/8*2. Let b be 1*1\/(1\/40). Let d = b - o. Calculate the remainder when 7 is divided by d.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 172970769 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.1298758 rounded to 2 dps?\nAnswer: -1.13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) be the third derivative of f**4\/6 + f**3\/6 + 7*f**2. What is the tens digit of m(11)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -737*m = -741*m + 40 for m.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nenn when four letters picked without replacement from nnennnnnnnnnnene?\nAnswer: 33\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/10)\/(((-600)\/(-13500))\/(2\/54))*-213.\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 44193198 to the power of 1\/7, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 193 = -5*v + 53. Calculate the common denominator of ((-114)\/v)\/(1\/(-2)) and -31\/8.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -715*b**2 + 2*b. Let m(f) = 41*f + 13. Give m(w(v)).\nAnswer: -29315*v**2 + 82*v + 13","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -6, 1097, -80, 0.\nAnswer: -80, -6, -5, 0, 1097","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 183.278 + -0.278. Let u = -188 + z. Let i = 0.3 - 0.35. Sort -1, i, u in descending order.\nAnswer: i, -1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -23, -41, -59, -77?\n\"Answer: -18*m - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -5\/2 (b) 118 (c) -1\/4 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/x**(-1)*x*x\/(x\/x**(-4\/3)*x*x*x))\/(x*x**5*x*x**(-1)) assuming x is positive.\nAnswer: x**(-22\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 5*s - 4662. Let y(l) = -l - 34. What is f(i) + 6*y(i)?\nAnswer: -i - 4866","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -157722460\/3 or -52574153?\nAnswer: -52574153","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -35\/122 or 9?\nAnswer: -35\/122","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -x**2 + 11*x + 105. Let q be n(17). Solve -3*o - q*o = -6 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*r - 2*r - 5*r)*(159 - 159 + 108*r) in the form n + l*r**2 + g*r and give l.\nAnswer: -540","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25590 is divided by 74?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 17288063?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 77 + -463\/6. Suppose 4*m - 5*w + 0*w = 10, -m + w + 2 = 0. Do c and m have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 257*u - 252*u - 970. What is the highest common divisor of 1649 and u?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 9*f. Let d(s) = -121 + 121 + 2*s - s. Calculate p(d(a)).\nAnswer: 9*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) be the third derivative of -d**6\/60 + d**5\/12 + d**4\/8 + d**3 + 4*d**2. Let t(j) = 3*j - 1 + 4*j + j**3 - 6*j. Let z(f) = s(f) + 3*t(f). Give z(-4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 89 - 5 = 7*j. Solve -3*c = 3*c + j for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*d = 10*d + 588. Let g = d - 77. Let y = g - -122. What is the tens digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-c + c + c**3)*(-1 + c + 1) + (31 + 27 - 4)*(2*c**4 - 2*c**4 + c**4).\nAnswer: 55*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3 (b) -139367 (c) -0.28\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ttfttttf. What is prob of picking 3 t?\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -45*x**4 + 256907*x**3 - 1784*x**2 - 13700 wrt x.\nAnswer: -1080*x + 1541442","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -14*j + 1050 - 882. Calculate the remainder when 2675 is divided by j.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2375511*n**2 + 2375494*n**2 - 385 + 385.\nAnswer: -17*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -8 - -12. Suppose n*b - 7700 = -3*b. What is b rounded to the nearest 100?\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1\/4 or 244\/15?\nAnswer: 244\/15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = d**3 + 10*d**2 + 7*d - 15. Suppose 0 = 3*m - 7 + 34. Let n be o(m). Suppose -u - n*u - 4 = 0, -10 = -3*b + 4*u. Which is greater: 4\/7 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 6815, 27196, 61143, 108656, 169735?\n\"Answer: 6783*g**2 + 32*g","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*z + 0*z - 2*z**2 + (3 + 1 - 3)*(-4*z**2 - 4*z**2 + 6*z**2) - z + z + z**2)*(-2 - 2 + 5).\nAnswer: -3*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1868.95 + -1869. What is the third biggest value in p, 0.5, 4, -36?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + (-1 - 6) + 0 + 4?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-18480)\/7920)\/((-301)\/2)?\nAnswer: 2\/129","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000454458 rounded to 6 dps?\nAnswer: -0.000045","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0025262 to 2 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 6*112\/640 - ((-9)\/(-12))\/3\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*d + q - 14 - 6, 2*d + 4*q - 24 = 0 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-48)\/(-28) + (-2)\/(-7). Suppose 0 = -p*f - m - 0*m + 269, -5*f + 4*m = -679. Suppose -2*q - f = -7*q. What is the units digit of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 47 (base 14) to base 16.\nAnswer: 3f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -16.99987 + 17. What is z rounded to 4 dps?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 - (-7 + 12 - -5)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 3*q**2 + 8*q + 27. Does 31 divide w(-8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24*g**2 + 19*g**2 - g**2.\nAnswer: 42*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 14908145?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1a - -680?\nAnswer: 662","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is five eighths of a milligram in micrograms?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 7, -2\/17, 10\/79, 0.4, 30?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-4)\/(-7) - 119\/(-49). Suppose 4*j + 11 = 3*f, -2*f = -4*j + u*f - 21. Suppose 5*w = j + 34. Calculate the remainder when 53 is divided by w.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4791240 divided by -133090\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-21)\/(-3) + (-4)\/2*1. What is the third derivative of -q**s - 9*q**6 + 249*q**2 - 227*q**2 + q**5 wrt q?\nAnswer: -1080*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 4 + 1)*(4*z + 2*z - 5*z)*(-654*z + 249*z + 4*z**2 + 265*z).\nAnswer: 28*z**3 - 980*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1.9907 + -0.0093. What is the closest to -2\/9 in r, 1\/11, -4\/3, -0.01?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -0.4, -7.2, 0.2, -3, -86 in ascending order.\nAnswer: -86, -7.2, -4, -3, -0.4, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*h - 17 + 29 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is edb1 + 1b?\nAnswer: edcc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*r - 30*r + 52632 = -361329. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = 2*r - 4, 3*r - 5 = -5*x + 1. Suppose r*p = -p + 72. Let z be (27\/(-12))\/(0 + (-9)\/p). What is the highest common factor of z and 54?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = 3*t - 0*t + 28, t + 21 = -4*j. Let f(x) = -7*x - 1. Does 2 divide f(t)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 270 and 270.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 35539?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 30 divided by -5\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -241.838 to the nearest 10.\nAnswer: -240","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 8 (b) 21 (c) 38\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 687542 (base 10) to base 2\nAnswer: 10100111110110110110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 3*o**3 + 18*o**2 - 8*o + 11. Let q be 8\/12*(-5 - 1)*-2. Let j(b) = b**3 + 6*b**2 - 3*b + 4. Let d(l) = q*j(l) - 3*k(l). What is d(-6)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 620*t**3 + 0*t + 0*t - 310*t**3 - 313*t**3.\nAnswer: -3*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 691954?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (44\/22)\/(-2*(-14)\/4).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 763224 and 3773.\nAnswer: 539","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = -3*x + 11 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -9.8 - -6.8. Which is the smallest value? (a) -2 (b) h (c) -1.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -1753, -3470, -5177, -6868, -8537, -10178?\n\"Answer: n**3 - n**2 - 1721*n - 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3\/2 - 10488\/(-16)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.8942637 minutes to milliseconds.\nAnswer: 53655.822","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = q**3 + 4*q**2 - 1. Let u(a) = -16*a**3 - 16*a**2 + 5. Give -u(t) - 4*x(t).\nAnswer: 12*t**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -210, -419, -626, -831, -1034, -1235, -1434?\n\"Answer: h**2 - 212*h + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (4*(-5*(-4*sqrt(833) + sqrt(833)) + (sqrt(833) - sqrt(833)*-2)*-1) + 3)**2 + -1.\nAnswer: 2016*sqrt(17) + 1919244","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = p**3 - 4*p**2 - 6*p + 7. Determine z(5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 11 and 276674?\nAnswer: 3043414","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/((-54)\/180*-55)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.0288 - -128913.\nAnswer: 128913.0288","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((a - a + 2*a)*(2 + 5 - 5) - 7 + 7 + 4*a)*(-24*a**4 + 123*a**4 - 3*a**4).\nAnswer: 768*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = -4*a + 1384, 12*a + 2*m = 8*a + 1382. What is the highest common factor of a and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 851339 is divided by 609?\nAnswer: 566","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -61 = 37*z - 38*z. Suppose -63*x + 104 = -z*x. Suppose -x*c = -55*c + 1551. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 4, h: 3}. Give prob of picking 3 h and 1 o.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 28*b + 72. Let q be g(23). List the prime factors of (-6)\/(-12)*q\/(-2)*-1.\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 490*q**4 - 2331*q**3 + 2838*q**2 - 779*q + 42 = 0. Calculate q.\nAnswer: 1\/14, 2\/7, 7\/5, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -1016 divided by 19010?\nAnswer: -508\/9505","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 406 = -21*s + 16*s, -4*l - 344 = -4*s. Suppose -86*r = -s*r - 1449. Is 13 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3 + 3 + x)*(-1 + 1 + x) - 3*x**2 + 5*x**2 - 4*x**2)*((-14 - 7 + 8)*(x - 3*x + x) - 5*x + 2*x + 17*x).\nAnswer: -27*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -8*f - 1. Let a be o(2). Let z(s) = 5*s**2 + 6*s. Let u(i) = 14*i**2 + 17*i. Let x(p) = a*z(p) + 6*u(p). Let m(l) = l**2. Give m(x(b)).\nAnswer: b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*g**2 + 4*g + 3*g + 32*g**2 + 29*g**2 - 2*g.\nAnswer: 42*g**2 + 5*g","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-1)\/3)\/(110\/(-190)). Let s = -10\/11 + g. Which is the biggest value? (a) -0.1 (b) s (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 - 21 = -11*y. Suppose -f + 3*c = 3*f - 81, y*f + 2*c - 65 = 0. What is the greatest common factor of 42 and f?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 43 + -4?\nAnswer: 3c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -0.206 + -66446789021\nAnswer: -66446789021.206","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 55*v**3 - v**2 + 52*v - 52. Let n be q(1). What is the greatest common divisor of n and 2241?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that -p**3\/4 - p**2\/4 + 11*p - 24 = 0.\nAnswer: -8, 3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1 + -0.8. Which is the closest to o? (a) 0 (b) 0.1 (c) -3\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 2*b**2. Let l(h) = 2*h**2 - 8*h. Give l(g(m)).\nAnswer: 8*m**4 - 16*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -19816, -19870, -19924, -19978, -20032?\nAnswer: -20086","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 3 + 26 = 0. Suppose k = 2*o - 17. Solve v = 6*v - o for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 60710?\nAnswer: 2, 5, 13, 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4 + -4. Let n = c + 2. Let d(z) = -4*z**2 + n*z**2 - z**2 - 3*z**2. Let x(h) = h**2. Calculate x(d(w)).\nAnswer: 36*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -561*f**2 - 36984*f*u + 26161*u - 496 wrt f.\nAnswer: -1122*f - 36984*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 4211870 divided by -358\nAnswer: -11765","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 1111 + 1108 = 0. Let b(i) be the third derivative of -2*i**5\/15 - i**3\/6 + 6*i**2. Give b(k).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 1890240, 7560941, 17012112, 30243753, 47255864, 68048445?\n\"Answer: 1890235*j**2 - 4*j + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4177600001?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = a**2 + 9*a + 3. Let q be b(-9). Solve -8 = -q*i - i for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) be the third derivative of 0*c**3 + 36*c**2 - 8\/105*c**7 + 0*c + 2 + 0*c**4 + 1\/15*c**5 - 1\/20*c**6 - 1\/56*c**8. Suppose t(f) = 0. What is f?\nAnswer: -2, -1, 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 33\/10 of a second?\nAnswer: 3300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 86, 57, -144, -571, -1278, -2319?\nAnswer: -3748","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3ce9c + 1ad4?\nAnswer: 3ea81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 35750 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Product of -15619 and 5.\nAnswer: -78095","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 756079328?\nAnswer: 2, 103, 229393","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -1. Let f(n) = -19*n + 37 + 3*n + 34 + 42*n. Let r(c) = -f(c) - 2*y(c). Differentiate r(l) with respect to l.\nAnswer: -26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 2834.252l?\nAnswer: 2834252","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -27.5, -0.29, 1\/7, -0.5, 0.99?\nAnswer: 0.99","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.09 - -0.79. Which is the second biggest value? (a) 8 (b) -4\/5 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t - 4 + 9 = -3*u, -5*t + 5*u = 0 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -30*b**3 + 55*b - 55*b + (-4*b + 2*b + b)*(3*b**2 - 5*b**2 + b**2).\nAnswer: -29*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - 0)*4\/24.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-1\/9)\/((j*j*j**(-10))\/j))**(6\/7) assuming j is positive.\nAnswer: j**(160\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: ((19\/456)\/((-7)\/(-63)))\/(9\/(-4))\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x - 6 = 3*f, -4*f - 1419 = 5*x - 1447 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2 - -5. Suppose 52 = w*t + 10. Calculate the remainder when 26 is divided by t.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1.12 - -15.2. Let p = y - 0.08. Which is bigger: p or 0?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = -16487 + 16431. Suppose -6 = -3*r + 3. Suppose 0 = -r*g + m + 167, 5*m = 3*g - 156 - 7. What is the greatest common divisor of p and g?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 3587, 28550, 70133, 128318, 203087?\n\"Answer: -3*n**3 + 8328*n**2 - 4738","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -74, -72, -70, -68, -66?\n\"Answer: 2*j - 76","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 220, 221, 232, 259, 308, 385, 496?\n\"Answer: m**3 - m**2 - 3*m + 223","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 88345381.\nAnswer: 31, 37, 77023","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-2)\/3)\/(26\/(-663)). Suppose t + 2*t = -a + m, 4*t + 9 = 5*a. Let -13*o**2 + 65*o**4 - 13*o**3 - 35*o**4 - 3*o - 33*o**t = 0. Calculate o.\nAnswer: -3, -1, -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h**(-2\/5)*h)\/h)**(15\/7))**40\/((h\/(h**(-1)\/h)*h**9)\/((h*h*h*(h**3\/h)\/h*h)\/h**9)) assuming h is positive.\nAnswer: h**(-352\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 + b - 2 + (-5 + 1 + 2)*(-6*b + 0*b + 4*b) - 9947*b + 2043*b - 4880*b as m + a*b and give a.\nAnswer: -12779","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -7*d**2 - 4*d + 5. Let t(s) = -11*s**2 - 6*s + 8. Let i = -4 + -4. Let a(w) = i*m(w) + 5*t(w). What is the second derivative of a(c) wrt c?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*f - 54 = -26. Suppose -2*n + 20 = 3*u, -f*n = n - 4*u - 4. Solve -4 = -5*d + p - 10, -n*d = -2*p for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -25 + 20. What is the closest to -0.1 in 0.4, 0.2, v?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*t + 972*t**2 + 917*t**2 + 389*t**2 + 5*t + 2.\nAnswer: 2278*t**2 + t + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 943?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14\/(-259) + (-3388)\/(-5180)?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -8 in 4, -4, 0, -22?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 410 - 404. Solve -10 + 4 = -p*b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 5902 and 39728.\nAnswer: 9018256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -10011020120211 (base 3) in base 5?\nAnswer: -412142411","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*r + 2 + 1446*r**3 + 247*r**2 + 1428*r**3 + r**4 - 2874*r**3 to f*r + c*r**2 + o*r**3 + h*r**4 + x and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2083913?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = 2*c - 419. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3958266 divided by -13?\nAnswer: 304482","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-16)\/10*(-90)\/24\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0 + 1. Suppose 3*r + 4 = 4*o + p, -5*r + 15 = 0. Suppose -4*c = 3*y + y - 1944, -o*c + 967 = 2*y. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -i**3 + 8*i**2 - 9*i - 10. What is the lowest common multiple of q(6) and 32?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -431.83 rounded to the nearest ten?\nAnswer: -430","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 172 a factor of 23735?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -24313\/6 + 4065. Let s = 32619\/112 + -2026\/7. Calculate the common denominator of r and s.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22*q - 1 + 1.\nAnswer: 22*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 591 minutes after 2:28 AM?\nAnswer: 12:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 + 1 - 2)*(-1 + 1 - 1) + 0 + 0 - 1 + (2 + 5 - 6)*(-8 + 0 - 23))*(-a**3 + a**3 + 3*a**3).\nAnswer: -90*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -2*h**3 - 4*h**2 - 38*h + 5. Let d(w) = 2*w**3 + 2*w**2 + 38*w - 4. What is 2*a(t) + 3*d(t)?\nAnswer: 2*t**3 - 2*t**2 + 38*t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 209539915 divided by -3223691\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 27, 2\/11, 1, -0.5, -8?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*n + 3795*n**2 + 6*n - 3803*n**2 + (-n + n + 2*n)*(2*n + 0*n - n).\nAnswer: -6*n**2 + 8*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 1503*p + 12010. What is j(-8)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(2\/5)\/s)**(-1)*(s**(1\/3))**(2\/137) assuming s is positive.\nAnswer: s**(1243\/2055)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 78 = 15*q - 13*q. Let y = -19 + q. Find the third derivative of 14*m**2 - 28*m**2 + y*m**2 + 11*m**4 wrt m.\nAnswer: 264*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 71235 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 n = 18 + -11. Let r(a) = 5*a**3 + 3*a**2 - 7*a - 7. Let x(p) = -3*p**3 - 2*p**2 + 4*p + 4. Let j = -189 - -193. What is j*r(w) + n*x(w)?\nAnswer: -w**3 - 2*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + sqrt(11) + -1 + ((sqrt(891)*2 + sqrt(891))**2 - sqrt(11)) + 4.\nAnswer: 8020","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -42768, -42778, -42794, -42816, -42844, -42878, -42918?\nAnswer: -42964","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(56)\/(sqrt(288)\/sqrt(4) - sqrt(8)) + ((sqrt(140)\/sqrt(4))\/sqrt(5) - (-1 + sqrt(28)))**2 + 2.\nAnswer: -3*sqrt(7)\/2 + 11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.2, -0.1, -2\/29, -2, 2\/49?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 40069081 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 3*t**2 - 83*t + 76. What is z(25)?\nAnswer: -124","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -60 - -161. List the prime factors of w.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.05, -4.6, -3\/7, 2 in decreasing order.\nAnswer: 2, -0.05, -3\/7, -4.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 3*n + 19. Let s be b(20). Let w = s - 71. Is w equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 710*r**2 + 2 + 0 + 708*r**2 - 1420*r**2 + 446*r.\nAnswer: -2*r**2 + 446*r + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(132)\/(sqrt(768)*-5 + sqrt(768) - sqrt(12)).\nAnswer: -sqrt(11)\/33","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (5 - 36\/6)\/(5\/(-2)). Let -4\/5*f - 2\/5*f**2 - c = 0. Calculate f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*x + 2*i - 5*i - 402, 4*x = 2*i + 320. What are the prime factors of x?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -26 at least as big as -27?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nnzrg. Give prob of sequence znn.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/(-9)*-70)\/((6\/(-6))\/((-24)\/16)).\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*s**2 + 33018*s - 33015.\nAnswer: -3*(s - 11005)*(s - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 198185814 is divided by 87.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -100010 + -1?\nAnswer: -100011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35*n + 38*f = 36*n + 2*f + 903, 4*f - 100 = 0 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1318409 to the power of 1\/2, to the nearest integer?\nAnswer: 1148","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -2*g**3 - 2*g**2 + 9*g + 2. Let m(w) = -w**3 + 3*w - 1. What is the remainder when s(-4) is divided by m(-3)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in x**2 - 12*x - 5*x + 17*x.\nAnswer: x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-3*(2 + -1))\/(3\/(-33)). Let v be 22*(-5)\/(25\/(-30)). Calculate the highest common factor of j and v.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 (base 12) in base 3?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = h**3 - 6*h**2 - 3*h + 6. Calculate o(7).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 20\/(-25) + 8 - 7. What is the biggest value in l, 25, 3?\nAnswer: 25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2324 (base 5) to base 13\nAnswer: 201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -2\/5, 12, 3?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -1221, -2387, -3551, -4713?\n\"Answer: h**2 - 1169*h - 53","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -420*j - 15944. Let t = 57 + -21. Suppose 0*x - t = -2*x. Calculate the least common multiple of x and a(-38).\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4423?\nAnswer: 4423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2286.45t to nanograms.\nAnswer: 2286450000000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 33580 and 2405317?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = -2*p + 36. Is 6 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10029586049 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 143909 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4416 is divided by 234.\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -41 + 387. Calculate the smallest common multiple of m and 4.\nAnswer: 692","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -60410.9? (a) 0 (b) 5 (c) 4 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 5890975496 to the nearest integer?\nAnswer: 277","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1531*r**2*x**2 - 9*r*x**2 + 15*r*x wrt r?\nAnswer: 3062*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -13\/14070 and 89\/49245.\nAnswer: 98490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -r - 2. Let u(p) = p**2 + 4*p + 7. Let j(g) = -14*c(g) - 4*u(g). Factor j(h).\nAnswer: -2*h*(2*h + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 150.59 + 14.01. Let a = p + -26.8. What is a rounded to the nearest 10?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-24)\/(-7) + ((-6)\/(-7))\/(-2). Solve -w + 8 = 2*h - h, -m*w + 4*h - 4 = 0 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 2246137360?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 + 114 = 4*m. Let y = -3296\/11 + 26771\/99. Let s = y + m. Which is the third biggest value? (a) s (b) 5 (c) 3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:52 PM and 4:06 PM?\nAnswer: 14","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/(s\/(s\/s**(1\/4))))**(-3) assuming s is positive.\nAnswer: s**(-9\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -2*q**3 + 2*q. Let j(n) = 11*n**3 - 32*n - 3044. Let x(b) = 6*g(b) + j(b). What is the derivative of x(h) wrt h?\nAnswer: -3*h**2 - 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 33394735 and 3685?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (4935\/(-30))\/((-1)\/(-2)*-1). Let b = l - 142. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10 + -11 + (-13 - -14 - 61 - 14)?\nAnswer: -95","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = 3*j + 26, 0 = 3*j - 3*c - 0 + 6. Let q(p) = p**3 + 6*p**2 + 4*p + 9. Determine q(j).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) be the first derivative of -r**6\/450 - r**5\/25 - 11*r**3\/3 + 1. Let p(c) be the third derivative of a(c). Factor p(j).\nAnswer: -4*j*(j + 6)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 281*h**3 - 1051*h**2 + 23*h - 258447114.\nAnswer: 843*h**2 - 2102*h + 23","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*x + 11*x - 32*x.\nAnswer: -12*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 35 or -34?\nAnswer: 35","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**4*((c*c*c\/(((c*c*c*c\/((c\/(c*c**7))\/c)*c)\/c)\/c))\/c)\/c)\/(c**(2\/9))**15)\/(c**(-6)*c\/c**9)**21 assuming c is positive.\nAnswer: c**(854\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -82 + 107 - (6 - -4).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -25? (a) -2 (b) 0.02 (c) 1 (d) -2\/19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -162*r + 50 = -152*r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 p when two letters picked without replacement from {i: 1, x: 8, j: 2, a: 2, p: 2, t: 2}.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-135)\/6*48\/(-108) - 10. Solve 15 = s + 5*g, x = 152*s - 157*s - 5*g - 5 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8063 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -7763*m**2. Let w(p) = -43*p. Calculate w(r(t)).\nAnswer: 333809*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(1\/2)*z)**(-28)*z**(-1)\/z*z**3*z)**44 assuming z is positive.\nAnswer: z**(-1760)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 266 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -2319, -4633, -6947?\n\"Answer: -2314*l - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 68, 125, 182, 239, 296, 353?\n\"Answer: 57*k + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u**3\/u*u*(u**(2\/13)*u*u)\/u*(u\/u**(1\/6))\/u**(-1\/2))\/((u**(-1)*u)**(-6)*(u*u\/(u*u\/u**(1\/2)))**(-28\/5)) assuming u is positive.\nAnswer: u**(1811\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*b + 1 + 7, b = -3*i - 20. Let a be -52*1 + (-24)\/i. Let r = -26 - a. Calculate the remainder when 137 is divided by r.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-179 + 317 + 568)*(l**3 - l**3 + 2*l**3).\nAnswer: 1412*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -8 in -0.1, -1\/3, 398, 0.5?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 564\/13 + -35558\/819. Let c = o + 67\/126. Let n = -29.85 + 29.85. Put 16, n, c in ascending order.\nAnswer: n, c, 16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 2*q**3 + 4*q**2 - 8*q + 2. Determine z(-4).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -w**2 - 22220*w + 22220*w + 2*w**2.\nAnswer: w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3555, 14474, 32747, 58380, 91379, 131750?\nAnswer: 179499","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n when two letters picked without replacement from {n: 10, d: 9}?\nAnswer: 5\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 47 - 35. What is the common denominator of (-1 - (-132)\/16)\/(2\/u) and -8\/11?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -m - 12. Let d be y(-8). Let g be 1 + 2\/(d\/6). Let x be g*((-15)\/3)\/1. Calculate the greatest common factor of x and 20.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -a**2 - 4*a**5 + 3*a**2 + 7*a**5 + 2*a**5 + 12*a**5 + 6*a**5 - a**5 - a**2 + a**2 + (4*a**4 - 2*a**4 + 0*a**4)*(-2*a + 0 + 0).\nAnswer: 18*a**5 + 2*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -152, -154, -156, -158?\n\"Answer: -2*f - 150","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 55*(-195)\/(-14300)*-56.\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0\/((-1)\/((-14)\/28))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1 (b) -1\/3 (c) 1\/3 (d) 17 (e) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8449)\/(-2414)*8\/(-35).\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 791 = 4*z + 3*q, -4127*q + 4128*q = -7. Solve 75 = 16*b + z for b.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 48*f + 14852. Calculate a(-310).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 104523 is divided by 48378.\nAnswer: 7767","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -b**3 - 5*b**2. Let k be (17\/34)\/(1\/(-106)). Let i = 49 + k. Give u(i).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = o + o - 2*o - 2*o - 5*o**3 - 5*o**2. Let y(t) = t**3 + t**2. What is l(r) + 3*y(r)?\nAnswer: -2*r**3 - 2*r**2 - 2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 28338 to the nearest 100.\nAnswer: 28300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 50882 is divided by 9.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 + -37 + 18 - -1?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 7242155959 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 13258226*x**2 + 82351777*x wrt x?\nAnswer: 26516452","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -41 (base 10) in base 8?\nAnswer: -51","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1)\/3 - 1\/(-3). Let n = x - 2. What is the tens digit of (n - -12) + 4 + -3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10 - 8*t**3 + 10)*(0*t + 0*t - t) + (9*t + 2 + 11 - 11*t)*(-2*t**3 - t**3 + t**3).\nAnswer: 12*t**4 - 26*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 618253 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -20 + 56. Let t(j) = -j + 6. Let r be t(6). Suppose -2*a - 2*a + 52 = r. What is the remainder when z is divided by a?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1387?\nAnswer: 19, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 0 - (-2)\/(-5) - (-437)\/5?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh smallest value? (a) 4 (b) -2 (c) 30\/2219 (d) 1 (e) -1\/5 (f) 3 (g) 2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 52466*y**5 + 2*y**4 - y**3 - 185290*y**2?\nAnswer: 3147960*y**2 + 48*y - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -298517, -597130, -895743, -1194356, -1492969?\n\"Answer: -298613*v + 96","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 28 (base 9) in base 5?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 - 3 = 5*f, -w + f = -3. Let p = 93 - 84. Let a be 1*(-1 + 5 + p). Solve 4*b + a = -k - 4, 0 = -w*b - k - 9 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 11065*b**2*c**2*s - 6*b**2*c*s - 58*b**2*c - 2*b**2*s + 2*b*c**2*s - 3*b*s wrt c?\nAnswer: 22130*b**2*s + 4*b*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 139 - 68. Find the first derivative of -36*t**2 + 140*t - y*t - 69*t + 4 wrt t.\nAnswer: -72*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -62 + 73. Suppose -5*g + c + 69 = 0. Find the second derivative of 305*m - 3*m**2 - 325*m + 8*m**2 + g*m**2 wrt m.\nAnswer: 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-20)\/((-1 - 0)\/5). Suppose 3*h + 47 = 3*w - h, x = 4*w + 4*h. Solve -w = d - 16 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 15\/1458*-3*2\/(-15). Which is greater: 1 or q?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 86*l = 344*l - 8725818. List the prime factors of l.\nAnswer: 31, 1091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*n - 417 - 2242 - 3*n**2 + 7*n + 29.\nAnswer: -3*n**2 - 2630","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*(f**(-4)\/f)\/f)\/(f**8\/f*f)*(f**(3\/7))**14 assuming f is positive.\nAnswer: f**(-7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = a. Let k(f) = f**2 + 3*f + 3. Let c(i) = 147*i**2 + 9*i + 8. Let w(n) = c(n) - 3*k(n). Calculate w(s(q)).\nAnswer: 144*q**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*z - 4*z - 2*z + (-3 + 3 - 2)*(0*z + 3*z - 5*z) - z - 3*z + 2*z - 8 + 8 + 2*z - 1 - 104*z + 52*z + 57*z.\nAnswer: 8*z - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 409 + -364. Calculate the greatest common divisor of a and 60.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -4533, -4558, -4583, -4608, -4633, -4658?\n\"Answer: -25*v - 4508","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 6*t + 2 + 13 - 2*t - 3*t. Let r(p) = p**3 - p**2 - 2*p + 1. Let u be r(-2). Let z be n(u). What is the greatest common divisor of 88 and z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -11*l + 6. Let p be u(-1). Suppose -p*r + 1487 - 586 = 0. What is the remainder when r is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5391080833 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -j - 20. Let l be h(0). Let t = -14 - l. Let i(s) = 4*s**3 - 6*s**2 + 6*s - 6. Let m(r) = -9*r**3 + 13*r**2 - 13*r + 13. Give t*m(x) + 13*i(x).\nAnswer: -2*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 37 + 45. Is s a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 7226593, 14453185, 21679777, 28906369, 36132961, 43359553?\n\"Answer: 7226592*c + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -45*u**2 - u + 7. Give g(0).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 8*b = 650. Let o = 65 - b. Suppose z + 3 - 8 = o, -3*h + 4*z = 2. Calculate the smallest common multiple of h and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 187 is divided by 31.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o**2\/2 + 1185*o + 8510535\/2 = 0.\nAnswer: -1089, 1563","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dvvrvdrvr. What is prob of sequence rd?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-1)\/(-1))\/(-7))\/(23640\/(-772240))?\nAnswer: 14\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 215025628 to the power of 1\/6, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = 4*j + 162. Let a = 122 + j. Suppose u + a = 3*u. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 22870*w - 162968?\nAnswer: 22870","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 6 + 16 = 0. Let u(f) = -8*f - 43. Let r be u(-6). Suppose 6*q = q + 35. Solve 2*i - t*w + 10 = q*i, -r*i - w = -10 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-6)\/(-51))\/1 - 2989\/(-1037). What is the highest common factor of 87 and j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 166 = -0*a - 4*a, -2*a = 3*h - 85. Let q = -42 + a. Let r be ((-13)\/26)\/(q\/(-2)). What is the nearest to r in 0.3, -0.4, -1\/12?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -18\/143 and -4*(-75)\/280*21\/(-12)?\nAnswer: 1144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 38*o**5 - 5*o**3 - 10*o**2 + 33*o wrt o.\nAnswer: 2280*o**2 - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -125\/6 and 25\/4206698.\nAnswer: 12620094","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, v: 17}. Give prob of picking 1 v and 1 p.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 3 - 3)*(-4*x + 2*x + 3*x) + (-73 + 17*x + 73)*(-4 + 4 + 1).\nAnswer: 20*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -28741 (base 11) in base 6?\nAnswer: -512554","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -6414 and -0.025.\nAnswer: 160.35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 3*o**3 - 174*o**2 + 15*o - 125. Let p be t(58). Which is greater: -0.1 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 10*z**2 - 116 + 7654*z**3 + 0*z**2 - 534 + 876 - z wrt z.\nAnswer: 45924","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -3082 and 1974208503?\nAnswer: 1974211585","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-11 + 5)*2\/(-6). Suppose 0 = 2*z + c + 10, -3*z + 6 = o*c + 22. Put -5, z, 3 in decreasing order.\nAnswer: 3, z, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = a**2. Let c(p) be the second derivative of 0 + 0*p**2 - 8*p - 5\/2*p**3. What is l(c(j))?\nAnswer: 225*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = 2*x - 20. Suppose 0*d = 4*d. Let n be d + (-1*2 - -4). Solve -n*a + x = -a for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1748276015 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 12 = -30. Is (-188)\/(-6) - 2\/x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -115 - 1a5?\nAnswer: -2ba","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 372 and 2480.\nAnswer: 7440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 2497820761 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 value of 48466\/24233*(2\/((-4)\/95))\/(8\/8)?\nAnswer: -95","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 2, y: 3, l: 12}. Give prob of picking 2 y and 2 i.\nAnswer: 3\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -278.06535 or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/9, -49, -0.061?\nAnswer: -49","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p, 2 t, and 1 f when four letters picked without replacement from {f: 4, p: 6, t: 3, h: 2}?\nAnswer: 24\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:42 PM and 6:10 PM?\nAnswer: 328","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000028882033 rounded to seven decimal places?\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -v**3 - 23*v**2 - 61*v - 19. Let h be p(-20). Put h, -3, 272, 0 in decreasing order.\nAnswer: 272, h, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(34)\/sqrt(2)*-4 - (sqrt(153)*-2 - sqrt(153))\/sqrt(9))**2.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 2, c: 2, l: 1}. What is prob of sequence chc?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -37, -78, -113, -142?\nAnswer: -165","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -627 = 7*l - 3399. Is l a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1405, -2867, -4347, -5851, -7385, -8955?\nAnswer: -10567","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 2, a: 3, o: 4}. What is prob of picking 1 y and 1 o?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 3 - 4 - 9 + 2*d**2 + 1 - 5*d. Let n be y(6). Calculate the greatest common factor of n and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -520912*k**3 - 48*k*x + 848*x - 22206 wrt k?\nAnswer: -1562736*k**2 - 48*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6342303816.\nAnswer: 2, 3, 19, 821, 5647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y = -f + 8, -3*y - 24 = -2*f - 43 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 107 + 3 - 2*2. What is the greatest common factor of 53 and z?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-141)\/(-2538) + (19\/1596)\/((-42)\/(-1127))?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -4674*j**3 - 6*j + 24. Let c(y) = 1346113*y**3 + 1730*y - 6920. Determine 1730*b(a) + 6*c(a).\nAnswer: -9342*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 2470299 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1090212314.\nAnswer: 2, 22367, 24371","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + -8 - (-5 + 2 - 7).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -174 and -1.6.\nAnswer: 278.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = l**2 + 3*l - 2. Let z be m(-4). Let c = 4 + z. What is the units digit of -3 + c - -6 - -1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 1287167?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + h - 15 = 0, j + h = 4*h + 5. Let k be (-390)\/j - 2\/1. Solve 0 = -5*g + 4*d, 0 = -5*d + k - 12 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*s - s + 15. Let f = 27 - -59. Let w = -59 + f. Calculate the highest common divisor of w and s.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.04 at most 2225?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -64 - -66. Suppose -i = -q - 50. Let u be 6\/(-8) + (-228)\/q. Let b(f) = f**3 - 4*f - 4. Let h(m) = -10*m**3 + 35*m + 35. Calculate u*h(a) + 35*b(a).\nAnswer: -5*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -9*(-3)\/9*53. Let k = f + -113. Calculate the remainder when k is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1083550*c*o - 10682711*c + 2*o wrt o.\nAnswer: -1083550*c + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 1 - 6 = 2*r, -5*l - 5*r = 0. Let m = -474 - -474.4. Which is the smallest value? (a) l (b) 2 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.21 + 0.11. Let l be 49\/42 - (-6)\/(-4). Sort 0.4, l, i, -3.\nAnswer: -3, l, i, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = b**2 - 2*b + 3*b**2 - 2*b**2 - b**3 - 5*b**2 - 5. Let r be d(-3). Suppose 21 = h + 2*h. Calculate the highest common divisor of h and r.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 495067 + -126242243\/255. Let d = o + -4\/85. Which is the nearest to -1\/7? (a) d (b) 2 (c) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -4, -5\/4, -2\/9, 44?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -641 or -665?\nAnswer: -641","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -13 + 143. Let m = z + -81. Let k be (-4)\/(-6) + m\/21. Solve -5 = 2*f + k*y, 0 = -4*f + 5*y + 21 + 24 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((10\/(-168))\/(-1) - (-26)\/(-182))*4389\/(-266).\nAnswer: 11\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1160.91161 rounded to the nearest integer?\nAnswer: 1161","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 24 = -0*p. Let s(d) = 17*d - 8. Let c be 2\/(-7) + -185*(-5)\/175. Let m(k) = 11*k - 5. Determine c*s(u) + p*m(u).\nAnswer: -3*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ewcw when four letters picked without replacement from {t: 1, e: 1, k: 1, p: 1, c: 1, w: 2}.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 26*l**2 + 29*l**2 + 2 - 2*l - 52*l**2. Let c(i) = 10*i**2 - 7*i + 7. What is -6*c(u) + 21*r(u)?\nAnswer: 3*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -61, -89, -137, -205, -293, -401, -529?\nAnswer: -677","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 9*c**3 + 2*c**2 - c. Let w be 0 + 1 + (-6)\/(-2). Suppose v - 3 = 2*v - w*g, 0 = -5*g + 5. What is the units digit of t(v)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 0.2, -1\/6, 105, 5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1505907278.\nAnswer: 2, 752953639","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 37436 and 1421?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1812991751 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*w - 2*w - 6*w)*(4847 + 1074*w**2 - 4847).\nAnswer: -5370*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -l**3 + 32*l**2 + 4*l - 130. Let k be d(32). Is k smaller than -875?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g*g**(-2\/3)\/g*g*g*g*g\/(g\/g**(-9))*g)\/(g*g\/g**(-1\/3)*g)**(-28\/5))**(1\/17))**(-2\/27) assuming g is positive.\nAnswer: g**(-26\/459)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -213 - -209. Let f(a) = 6*a**2 - 7*a - 11. What is the tens digit of f(u)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -22 + 24. Let g be (6\/2)\/(h\/(-16)). Let s(q) = q + 31. Let c be s(g). Sort 3, -3, 5, c in decreasing order.\nAnswer: c, 5, 3, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1251, 2\/9, 0.1, 7 in increasing order.\nAnswer: 0.1, 2\/9, 7, 1251","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 2 p when three letters picked without replacement from mapycmpcmbbp.\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-174)\/24*16\/(-2). Suppose w - m = -w. Is 7 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -38.16 plus -497888620?\nAnswer: -497888658.16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h - 7 = -3*m, -4*m - 5*h = m + 5 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = p**3 - 7*p**2 - 5*p - 10. Suppose 4*g + 4*m - 24 = 0, 0 = -12*m + 9*m + 15. Calculate the remainder when 78\/2 - (0 + g) is divided by b(8).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -3\/55 and (47 - 8)*3\/15.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 3, j: 1}. What is prob of sequence mmm?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 64427846?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/(-2)*(-14)\/(-21)*-5?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(1584)*-2)**2.\nAnswer: 57024","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) be the second derivative of 0 + 1\/21*r**7 + 0*r**4 - 40\/3*r**3 - 75*r + 0*r**6 + 0*r**2 + 2\/5*r**5. What is the second derivative of f(a) wrt a?\nAnswer: 40*a**3 + 48*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18183 + 0.21.\nAnswer: 18183.21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence trar when four letters picked without replacement from atdrrrrwrridtwtrrr.\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 573 minutes before 2:11 AM?\nAnswer: 4:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j - 11 = -j - l, -4*l = -3*j + 12. Let o(w) = 2*w + 2. Let u be o(-2). Let t = j - u. Is 5 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 < 126.7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1632?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 < 3725\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 0.02 times 6157\nAnswer: 123.14","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9596308?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3.1 - 10937.\nAnswer: -10940.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 36 + -18. Let d(v) = -v**2 + 5*v - 1. Let n be d(6). What is the lowest common multiple of (4\/(-14))\/(1\/n) and i?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) be the third derivative of n**6\/24 + n**5\/6 - 5*n**4\/3 + 22*n**2 + 3*n. Find b, given that z(b) = 0.\nAnswer: -4, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1072bb (base 12) in base 14?\nAnswer: 6b367","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) be the third derivative of g**8\/840 - g**5\/15 + g**4\/2 + 7*g**2. Let v(c) be the second derivative of w(c). What is the derivative of v(j) wrt j?\nAnswer: 24*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 88*q**2 - q + 1. Let d be m(1). Suppose 0 = -0*y - y + 11. Calculate the highest common divisor of y and d.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -5*b, -11*b + 16*b = -5*r + 98555. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand n**4 - n**5 - n**4 + (1 + 2*n - 1)*(1 - 1 - n**4) + (2*n**3 - 3*n**3 + 0*n**3)*(n**2 + 0*n**2 + 2*n**2) + 3*n**5 - 4*n**5 + 3*n**5.\nAnswer: -4*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -619444.24 to the nearest ten thousand.\nAnswer: -620000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2694?\nAnswer: 2, 3, 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2\/3 or -4.45?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 9396 to the nearest integer?\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -10.5 - -7.68. Let g = c + 3.12. Let n = -0.25 - -11.25. What is the third smallest value in n, 0, g, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*g + 89 + 11. Suppose -20*v = -g*v + 30. Suppose -2*z + 4*w + 3 = -1, 2*w - 10 = -5*z. Calculate the greatest common divisor of v and z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g + 7*w - 40 = 0, -g = w - 4*w + 15 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 9195 - 2929. Is t a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*y + 5 + 7, 2*r = -3*y + 253. Suppose 0 = 2*q + 3*d + 58, 0 = -0*q - 5*q + 2*d - 183. Let j = r - q. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) be the second derivative of c**5\/4 - c**4\/12 + c**3\/3 - c**2\/2 - c. Let m be 0 - (48\/(-2) - 6). Let b = m + -29. Give g(b).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + 1 + u + (-3 - 2*u + 3)*(9 - 11 - 3) - 6 - 126*u + 63*u + 60*u.\nAnswer: 8*u - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*y - 5*y - 7*y + (3*y - y + 3*y)*(-3 + 5 - 4) in the form i + m*y and give m.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -65*j + 58*j - 87 - 96 - 69 = 0 for j.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -k**2 - 4*k - 1. Let l be f(-3). Suppose -p - 7 = -5*n + 38, 4*p + 4 = -l*n. What is the smallest common multiple of n and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-42)\/49)\/(57\/(-266))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.01, -5, 0.2, 1\/227?\nAnswer: 1\/227","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 78 = 4*f + w + 20, -3*f - 4*w = -50. Suppose 0 = -11*i + 113 - f. What is the third derivative of -10*x**2 - 21*x**2 + 17*x**6 - i*x**6 wrt x?\nAnswer: 960*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by 28.\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5000\/(-178750)*(-13)\/(-3).\nAnswer: -4\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 62 = 3*d - q - 3*q, -2*q = 2*d - 18. Calculate the remainder when 66 is divided by d.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -202212 - 1?\nAnswer: -202220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide 168?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 364*z - 357*z - 14 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r = -5, 509*r - 514*r + 45 = 5*i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-5)\/(((25 - 7) + -11)*6\/7). Put -0.3, k, -5, -16, 0.4 in descending order.\nAnswer: 0.4, -0.3, k, -5, -16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 n when two letters picked without replacement from aixhdndxn.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 27462 and 18?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -23*m**2 - 44*m + 44*m - 66*m**2 in the form i*m + x*m**2 + g and give x.\nAnswer: -89","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -69060 > -69055?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -72? (a) -1\/3 (b) -1 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -r**3 - 6*r**2 + 6*r - 7. Let t be o(-7). Let l(y) = t*y**2 - y**2 - 5*y - 2*y + 1. Is l(-5) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -16.32 + -2.58. Let f = -19 - x. Put 0.5, -0.26, f in descending order.\nAnswer: 0.5, f, -0.26","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -13722.79176 to 0 decimal places.\nAnswer: -13723","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 12307.229 rounded to 0 dps?\nAnswer: 12307","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3433 - -1421?\nAnswer: 5054","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 4*c**2 + 3*c - 4. Let t be g(1). Suppose 0 = 2*n + t*f - 74, 4*n + 4*f = 3*n + 27. What are the prime factors of n?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -96*r + 23*r - 11*r - 219 - 105*r + 219.\nAnswer: -189*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/20043005 greater than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 476426?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 19.236556 rounded to one decimal place?\nAnswer: 19.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9, -30, -65, -114, -177?\nAnswer: -254","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60*z - 109843 - 116717 = 0. What is the thousands digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -239*x**3 - 203*x**2 + 203*x**2.\nAnswer: -239*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 5462528 a multiple of 106?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -97440275 - -97440144.8630065. Let u = 130.377 + f. Let i = u - 0.24. Round i to 6 decimal places.\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -156 - -160. Solve 0 = i - u*i + 9 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) 14 (b) -0.8 (c) 4 (d) -92 (e) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 14.6048 kilograms in tonnes?\nAnswer: 0.0146048","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:03 PM and 4:55 PM?\nAnswer: 292","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) be the first derivative of -479*h**6\/2 + 16*h**3\/3 - 6*h - 769. What is the third derivative of r(m) wrt m?\nAnswer: -86220*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 48780 - 10704. What are the prime factors of s?\nAnswer: 2, 3, 19, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 29552364 is divided by 7388091.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 63794 a multiple of 286?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 8af (base 16) to base 8\nAnswer: 4257","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 36 and 24.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.45 and -0.16.\nAnswer: 0.072","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 203 minutes before 3:38 AM?\nAnswer: 12:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1051\/4 (b) 1\/5 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 256 and 960?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in -1\/14, 5, -1, -5, -0.0026?\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2502 plus 5210907848?\nAnswer: 5210907848.2502","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 7*a**2 + a - 14. What is the units digit of j(6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -25, -77, -129?\n\"Answer: -52*u + 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -3029 + 6067 + 4422*b - 3038 in the form f + k*b and give k.\nAnswer: 4422","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5254002 is divided by 3060.\nAnswer: 3042","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 1 - -2 - (11 + -5)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -67121\/9 - -7452. Calculate the common denominator of h and 37\/8.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 504790?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) be the first derivative of -11*w**3\/3 + 3*w**2\/2 - 2985. Let k(s) = -5*s. Determine k(p(q)).\nAnswer: 55*q**2 - 15*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 8 = -5*q, -11 = 2*h - q - 0*q. Suppose 4*d + w = d - 26, -4*d = -4*w + 24. Let c = h - d. What is the greatest common factor of 11 and c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 59 + -8 + -41 + (-8 + 2)\/(-2) + 59?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u*(u*u**(3\/17)*u)\/u*u**19 assuming u is positive.\nAnswer: u**(360\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3790575470?\nAnswer: 2, 5, 11, 3132707","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -89.9381371282 take away -2?\nAnswer: -87.9381371282","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 2705467, 5410894, 8116325, 10821760, 13527199?\n\"Answer: 2*o**2 + 2705421*o + 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000329094559 rounded to 7 dps?\nAnswer: -0.0000033","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in k + 9*k + k**2 - 10*k + 0*k - 21.\nAnswer: k**2 - 21","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 21*j. Let a(s) = 5644121*s. What is a(p(c))?\nAnswer: 118526541*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that -50*r**2\/7 - 4048*r\/7 + 4264\/7 = 0.\nAnswer: -82, 26\/25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yyyyyuyuyyyuuyyyuu. Give prob of picking 2 u.\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - 7*m**3)*(22 - 13 + 0 + 31).\nAnswer: -280*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:17 AM and 3:01 PM?\nAnswer: 644","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 219*x**2 + 29*x - 35. Let i be f(1). Calculate the greatest common divisor of i and 28329.\nAnswer: 213","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 1553 = t, -3*v - 4*t - 2098 = 259. Let z = v - -8576\/11. Find the common denominator of 17\/5 and z.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aagqgaggbfgqgagf. What is prob of picking 1 b and 2 a?\nAnswer: 3\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_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: Let s(z) be the second derivative of -3*z**3\/2 + z**2\/2 + 129*z. Let d(i) = -6*i**2 + 9*i - 4. Let l be d(1). Determine s(l).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -37\/144 and -11\/38766.\nAnswer: 930384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.01 or -393.93?\nAnswer: -393.93","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(99) - 2*sqrt(99)*1 - sqrt(99))**2 + 5.\nAnswer: 401","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2874843, -2874842, -2874841, -2874840, -2874839?\nAnswer: -2874838","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 18\/79609039?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2*(-3)\/(7\/((-14)\/(-6))))\/(14\/(-63))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1003911 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 4*u = 84, 3*u + 124 = c + c. Suppose 5*y - 5 - 5 = 0. Let l = c - y. Calculate the highest common factor of l and 44.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 5799 = 5*k, -k + 47*s + 1175 = 44*s. Suppose 25*b = 26*b + 2*p - k, 5*b = 2*p + 5803. What are the prime factors of b?\nAnswer: 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 34*z**2 - 27*z. Let m(u) = 17*u**2 - 14*u. Let n(r) = 13*m(r) - 6*o(r). Find the second derivative of n(h) wrt h.\nAnswer: 34","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*j**5 + 608*j**4 - 1224*j**3.\nAnswer: 2*j**3*(j - 2)*(j + 306)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.29589 rounded to 2 dps?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = -5*y + 114. Let n = 22 - y. What is the third derivative of 0*c**2 + 7*c**4 - 350*c + 350*c - n*c**2 wrt c?\nAnswer: 168*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.25421 times -3?\nAnswer: -0.76263","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 117267107 to the nearest integer?\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -17*d**2 + 1. Give h(-1).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 21.5 - 22. Let o = -1 - 0. Sort m, 1\/3, o.\nAnswer: o, m, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1381*o**3 + 838*o**3 + 574*o**3.\nAnswer: 31*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 100 a factor of 1228?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2 - (-30 + 28))\/(-28). Suppose u + 16\/3*x + 6*x**2 + 2\/3*x**3 = 0. What is x?\nAnswer: -8, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -92 + 103. Let q(w) = 12 + 62*w**2 + w - 21 + i. Is 28 a factor of q(2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -10, -3, -25, 5, 75\/4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = -2*c + 3*o + 522, 0 = -2*c - 2*o + 212. Suppose c = 5*s - 275. Suppose 0 = 3*u + l - 44, 3*u - l = -2*u + s. Solve 9*k = 4*k + u for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -0.3, -611.9, 0.4, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -54839 smaller than -54864?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -85.355, -0.4, 2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 7, g: 4}. What is prob of picking 2 b and 1 g?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (0 + 4)\/(4\/6). Suppose -p*z - 6 + 24 = 0. Suppose 4 = -h, -5*m + z*h = h - 58. Solve -8*q + m = -3*q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1787114.\nAnswer: 2, 7, 107, 1193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -9 in 4, 3\/5, 1, -2\/44295?\nAnswer: -2\/44295","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 34269 is divided by 3094.\nAnswer: 235","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = 4*i + 8. Let y(o) = -o**3 - 5*o + 2*o**2 + 8 + 0*o**3 - 9*o**2. Let r be y(i). Calculate the highest common factor of r and 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -19498836, -19498835, -19498834, -19498833?\n\"Answer: l - 19498837","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*g**2\/7 + 88*g\/7 - 484\/7.\nAnswer: -4*(g - 11)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -6 + 6. Is 1 >= c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 7194919*z**4 + 6024525*z**2 wrt z?\nAnswer: 172678056*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -7*x. Let d(z) = -2656*z**2 - 343*z. Let s(j) = 885*j**2 + 98*j. Let u(c) = -4*d(c) - 14*s(c). Determine p(u(y)).\nAnswer: 12362*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -19407057*l*m - 2065880*m + 6 wrt l.\nAnswer: -19407057*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -34 - -44. Suppose 16*p + 106 - 522 = 0. What is the remainder when p is divided by (-9)\/((-135)\/x)*15?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -60*t + 15. Let m be d(-14). Suppose g - 1102 - 161 = 3*s, -2*s + 5*g = m. What is s rounded to the nearest one hundred?\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 862453811 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 2, r: 2, l: 1}. Give prob of sequence lrdr.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand h**5 - 2*h**5 + 0*h**5 + (-9*h - 3*h**3 + 9*h)*(-2*h**2 + h**2 - h**2).\nAnswer: 5*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 452\/381 - 51516\/889. Let l = p + 78089\/1365. Let r = l - 11\/13. What is the smallest value in 0.4, -2, r?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1333555 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*a - 20, -4*s - a + 0*a = -35. Calculate the remainder when 18 is divided by s.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 13*k - 2120 = 0. Is k a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(26)\/(sqrt(2) - sqrt(72)\/sqrt(9)) + sqrt(143)\/(sqrt(110)\/(2*sqrt(10))).\nAnswer: sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 13987*j*l**2 - 215232653*j + 3064*l**2 wrt l?\nAnswer: 27974*j*l + 6128*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -5 times -579375\nAnswer: 2896875","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*d**2 + 138*d\/7 - 216\/7.\nAnswer: -3*(d - 4)*(7*d - 18)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 875 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 2, a: 1, o: 1, h: 2, k: 2}. What is prob of picking 1 a, 1 h, and 1 v?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1050.5 + 1051. Which is the nearest to 5? (a) -5 (b) -2\/7 (c) f (d) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 39 + -5. Is 17 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 11 + 8*c**3 - 11 - 4*c**3 + 3*c**3 + 0*c**3 + (0*c**3 - c**3 + 2*c**3)*(3 + 0 - 4) to the form q*c**3 + d + j*c + v*c**2 and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide (10989\/(-36))\/((-9)\/12)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is b92 (base 16) in base 13?\nAnswer: 146b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 99*b**2*o**2*v**2 + 8*b**2*o*v**2 - 14*b*o*v**2 - 45*o**2*v**2 - 6*o*v**2 wrt o?\nAnswer: 198*b**2*v**2 - 90*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 392 + -293. What is the common denominator of (582\/(-16))\/(s\/6) and -1\/2?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -84 = 12422*y - 12429*y for y.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 > 491\/20282?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 26110, 210783, 712016, 1688089, 3297282?\nAnswer: 5697875","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve u - 200*j - 17 = -205*j, 0 = 5*u - 4*j + 31 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 938585 to the power of 1\/2, to the nearest integer?\nAnswer: 969","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1945832 is divided by 647522?\nAnswer: 3266","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.19 in -0.3, 6\/49, 1\/6, 3\/14, -1\/8, -0.5?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -22358, -22306, -22254?\nAnswer: -22202","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 5, c: 3, e: 5}. Give prob of picking 4 g.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) be the second derivative of 0*r**3 - 1\/6*r**6 + 0*r**4 + 3\/2*r**2 + 0*r**5 + 0 - 7*r. Differentiate y(w) with respect to w.\nAnswer: -20*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in 7.85, -1.1, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 (base 7) in base 8?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) be the third derivative of -103*s**4\/24 - 5*s**3\/6 - 7*s**2. Is j(-4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:10 AM and 12:09 PM?\nAnswer: 719","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/7 - 378098\/(-49). Is (2 + -2 - (4 - 5)) + q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 7*f + 9. Suppose 2*s - 40 = b, -s + 70 = 2*s + b. Calculate the remainder when y(11) is divided by s.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -127\/84 - -1\/84. Which is the closest to p? (a) 4 (b) 3\/5 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = -5*p - 4 - 6, -2*h - 3*p - 6 = 0. Suppose h = -0*d + 3*d - 18. What is the lowest common multiple of 16 and d?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2743 = 177*l - 4336 for l.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00625801847 to five decimal places.\nAnswer: -0.00626","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0 and 2906?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 807222 and 2.\nAnswer: 807222","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 507 minutes after 1:09 PM?\nAnswer: 9:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -61, -278, -655, -1204, -1937, -2866, -4003, -5360?\n\"Answer: -2*c**3 - 68*c**2 + c + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 0, 2, 24, 78, 176, 330?\n\"Answer: 2*b**3 - 2*b**2 - 6*b + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -9*p + 40 - 82 + 63. Suppose 5*o + 19 = -l - 7, -3*l = 5*o + 38. Let r(b) = b - 2. What is l*j(n) - 63*r(n)?\nAnswer: -9*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y when two letters picked without replacement from {c: 9, y: 2}?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((504\/(-35))\/9)\/(200\/(-2250)).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*t + 2*a + 12, -3*a + 24 = t + 2*a. Suppose -90 = 4*v - t*v. Is v a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -k**3 + 5*k**2 - k + 6. Let f be d(5). Let l(a) = 2*a**2 + 34*a - 70. Let x be l(-19). Let h = x - f. Solve h*s - 3 + 0 = t, -t + 3 = s for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16085197451 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand -y + 0 + 3 + 6 - 4 - 2*y + 4 + 2 - 2 + 2*y + (0*y + y + 0*y)*(0 + 3 - 2) - 2 + 2 + y + 5*y - y - 3*y + 1 - 1 - y + 3*y - y - 3*y + y + 2*y - 2*y.\nAnswer: y + 9","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 9893960*v + 1.\nAnswer: 9893960*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -4\/41 (b) -3 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = a**3 + 21*a**2 - 2*a + 9. Let u be j(-21). Calculate the greatest common divisor of 3 and u.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor w**4\/4 + 2805*w**3\/4 + 2539431*w**2\/4 + 659359359*w\/4 - 18754183287.\nAnswer: (w - 84)*(w + 963)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*t = -11*t + 5*y - 45, -4*t - 3*y = -78. Solve -t*l = -2 - 28 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = a**3 - 11*a**2 + 10*a + 12. Let p be x(10). Let z be (-10)\/p*(-137)\/(-25). Let f = 16\/15 + z. Find the common denominator of f and -41\/12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.238867182 to 3 decimal places.\nAnswer: 0.239","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 97 is divided by 76.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 15.206439s?\nAnswer: 0.25344065","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -l**2 - 2*l + 5. Let k be y(5). Let n = k - -91\/3. Suppose 1\/3*h**5 + 0*h**2 + n*h**3 + 0 + 2\/3*h**4 + 0*h = 0. Calculate h.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*l + 423 - 199 - 205)*(-l - 1 + 1) in the form r + q*l + k*l**2 and give k.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 828 = -774. Is 3 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 264.4752mg in micrograms?\nAnswer: 264475.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24*q**2 - 15*q + 15*q - 50*q**2.\nAnswer: -74*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 92180 - 6407*d - 92182 - 2614*d.\nAnswer: -9021*d - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 0*s - 3*m = 63, -3*m = -2*s - 21. Let v be s\/(-3)*18\/12. Suppose -13*c = -v*c - 448. Calculate the remainder when c is divided by 18.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 65*b*i*n + 2*b*i - 1111*b*n**2 - 4802*i*n**2 + 36 wrt b.\nAnswer: 65*i*n + 2*i - 1111*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -g**3 + 5*g**2 + 6*g + 1. Let b be z(6). Suppose -4*k + 5 = -5*o + b, 0 = 5*o - 3*k + 3. Suppose 7*i + o*i = 2317. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:19 PM and 9:14 AM?\nAnswer: 715","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 845295, 845478, 845675, 845892, 846135, 846410, 846723, 847080?\nAnswer: 847487","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -12 - -16. Let q(n) = -4*n**2 + 5*n**2 - 2 - u*n - 2*n. Let y be q(7). Solve -l - 3*w = -0*l + y, -2*w = -l - 5 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.1, 3\/5, 5, -1?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0460831633 to five dps.\nAnswer: -0.04608","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) be the second derivative of -3*u**8\/14 - u**5\/20 - 1457*u**4\/12 - 92*u + 8. Find the third derivative of r(b) wrt b.\nAnswer: -1440*b**3 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -63 + 2356?\nAnswer: 2263","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -1.8 <= 2\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -b**3 + 7*b**2 + 8*b - 2. Let v be u(6). Let f = -3 + 3. Suppose 5*l = 4*s + 86, f = -5*l - s + 4*s + v. What is the tens digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 5, 2, -5, 93.\nAnswer: -5, -1, 2, 5, 93","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2 + -4162737?\nAnswer: -4162741","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 0.4*1593987\nAnswer: 637594.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3*k**3 - 6*k**3 - 4*k**3)*(0*k - 2*k + k) + 9*k**4 + 5*k**4 - 6*k**4)*(-1 - 3*k + 1).\nAnswer: -45*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2*(-2)\/(-4))\/3. Put -3\/2, w, -2\/13, -1 in decreasing order.\nAnswer: -2\/13, w, -1, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(65)*2)\/((sqrt(45) - sqrt(5))*-1 + sqrt(5)).\nAnswer: -10*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -22 less than 0.122?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -7*b*j**3 + b*j - 4*j**5 + 9*j - 6 wrt j?\nAnswer: -42*b*j - 80*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 10629767 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -15.6716 and -4?\nAnswer: 62.6864","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 988 = -1624. Let n = y - 1731. What are the prime factors of n?\nAnswer: 881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1284673907 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 152282346?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1343 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: cc9ac (base 14) to base 16\nAnswer: 790dc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -60*b**2 + 12. Suppose -2*c - 5*d + 14 = 0, -7*c - 5*d = -3*c - 38. Let x(h) = -24*h**2 + 5. What is c*x(y) - 5*i(y)?\nAnswer: 12*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) be the first derivative of 2 + 2*b - 3\/4*b**4 + b**2 + 7\/6*b**3. Let g(v) be the first derivative of i(v). What is t in g(t) = 0?\nAnswer: -2\/9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2158\/1245*(-360)\/(-48)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4424 (base 16) to base 11.\nAnswer: 12119","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -98a - 770?\nAnswer: -142a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r - 43 = -2*r - 5*f, -3*r + 60 = 3*f. Let d = r + -13. What is the derivative of 14*a + 20 + 3*a - 10*a + d*a wrt a?\nAnswer: 13","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -38 + 46. Suppose -3*l = -j*l + 230. List the prime factors of l.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2444175 a multiple of 405?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 194, 2, 4, 0, -429, -5, 5.\nAnswer: -429, -5, 0, 2, 4, 5, 194","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 = q + 3*r, 2*r + 3 = -5*q - 7 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r + 200095*a = 200091*a + 272, 0 = 2*r + a - 58 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 490574785?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 0*i**2 + 3*i + 3*i**2 - 2*i**2 - 2. Let h(m) = m**2 + m - 1. Suppose 3*u = 2*t - 3, 4*u + 2 = 2*u + 5*t. Calculate u*r(g) + 3*h(g).\nAnswer: 2*g**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k = k - 72. Suppose k + 18 = 10*a. Suppose 0 = -0*d + a*d - 21300. Round d to the nearest 1000.\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*a + a. Let o(i) = -i**3 + 24*i**2 + 4. Let j be o(24). Suppose a = j*b - 37 - 103. What is the greatest common divisor of b and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1423414\/11 + -129400. Let n be (-41)\/21 + (-8)\/(-28). What is the closest to -0.1 in -0.3, n, y?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3740, -14944, -33624, -59786, -93436, -134580?\nAnswer: -183224","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 676*i**2 + 38*i**2 + 494*i**2 to k*i + u*i**2 + w and give u.\nAnswer: 1208","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 655\/7 - 94. Which is the third biggest value? (a) -3 (b) w (c) -0.14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = r - 1. Let j(w) = -2 + 1 + 3. Calculate -j(v) - 2*z(v).\nAnswer: -2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -d**3 - 3*d - 4*d**2 + 0*d**4 + 2*d**4 + 3*d**2 - d**2 to the form m*d + j*d**4 + a*d**2 + r*d**3 + g and give m.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 185172133 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 888 and 61412859?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 49704 and 75096.\nAnswer: 155523816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 68*o = -1786 + 9461 + 7217. Solve -4*y + 207 = o for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1219 to the power of 1\/2, to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*x + 10*x + 14*x - 38*x as h*x + m and give h.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 63 (b) 13\/2 (c) 4\/55 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = -4, 5*g + 0*g + 5*c = 25. Suppose -o = f - 4*f + 253, 0 = o + g. Calculate the least common multiple of f and 6.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 2 r when three letters picked without replacement from {b: 2, z: 3, r: 4}.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*h - 19*h**2 - 19*h + 34*h.\nAnswer: -19*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 11107525 to the power of 1\/4, to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-627 + 31 - 255)*(4 - 4 + 13*q**2).\nAnswer: -11063*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 9*p - 1. Calculate the remainder when z(2) is divided by 638\/2233 + 26\/7.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**0)**40\/((z*z**4)\/(z\/(z\/((z\/z**(-16))\/z)))) assuming z is positive.\nAnswer: z**11","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -98*q + 101 - 59*q - 101 to the form n*q + t and give n.\nAnswer: -157","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -2039, -1427, -815, -203, 409?\n\"Answer: 612*q - 2651","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that -348*g**2 - 2659060*g + 61128 = 0.\nAnswer: -7641, 2\/87","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 162 and 8829.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 5075 = -5*f, 4*z - 2*f + 2156 = 22438. Does 15 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -2*i**3 - 11*i**2 + 113*i - 1. Let p be t(-11). Solve 12*g - p + 51 = 0 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (4\/8)\/(43\/260494)?\nAnswer: 13, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 1 - k**3 - 24*k**2 - 12*k**2 + 38*k**2 + 20*k. Let t be j(-8). Calculate the greatest common factor of t and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -x - 1. Let k(i) = 22*i + 4. Let y(t) = k(t) + 3*r(t). Let j be y(1). What are the prime factors of (-8)\/j - 47\/(-5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + 4*r)*(5*r**4 - r**4 - 3*r**4) - 4*r**5 + 0*r**5 + 2*r**5 - 3*r**5 + 4*r**5 - 4*r**5.\nAnswer: -r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -3, -2\/9, -1\/7, 1.4, -31354?\nAnswer: 1.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2102184835 to the nearest integer?\nAnswer: 45850","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000002114 to 7 decimal places.\nAnswer: -0.0000021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 821, 724, 707, 818, 1105, 1616, 2399?\n\"Answer: 8*s**3 - 8*s**2 - 129*s + 950","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = i**3 - 7*i**2 - 104*i - 146. Calculate s(13).\nAnswer: -484","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qff when three letters picked without replacement from {q: 1, f: 2}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 + 4 - 548273*d + 548478*d - 20 + 11.\nAnswer: 205*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -i + 31. Let g(r) = 2*r**3 - 52*r**2 + 26*r - 123. What is the remainder when g(26) is divided by a(-6)?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-458)\/19 + 8\/76. Let n be 11\/6 + (-6)\/q*-6. Which is the nearest to -0.02? (a) 0.2 (b) n (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-1*sqrt(117)\/(sqrt(108)\/(sqrt(24)\/sqrt(2)))*-4*-1 + 0).\nAnswer: 4*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -201472 (base 8) in base 6?\nAnswer: -1231122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 52226 - 20524831\/393. Find the common denominator of -5\/3 and s.\nAnswer: 393","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and 5\/16069 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 344 minutes after 8:10 AM?\nAnswer: 1:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -456*w**2 - 5 + 4 + 459*w**2 - w - 3*w**3 as t + r*w**2 + m*w + k*w**3 and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 145 + -255. Let k be (-4)\/22 + (-20)\/f. Is (-5 - -3) + k + 61 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 122 and 137006.\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 10 - 5 = 0. Suppose l*a = -a. Suppose a = -o - o + 28. What is o rounded to the nearest ten?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 372898 and 121?\nAnswer: 45120658","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 6*n + n - 2*n**2 - 46*n**3 + 13 + n + 47*n**3. Let q be s(12). Suppose -3*i + 2*o - 2670 = 0, 3*o + q + 1121 = -3*i. Round i to the nearest 100.\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 155 and 124?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1458370021 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -18*u. Let t(x) = -x. Let f(i) = 2*a(i) - 54*t(i). Let o(w) = -126*w + 11. Let q(g) = -23*g + 2. Let d(k) = 4*o(k) - 22*q(k). Determine d(f(y)).\nAnswer: 36*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 32*f*g**2 - 2*f*g + 6*f + g wrt g?\nAnswer: 64*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 184*c - 193*c - 4*z + 1302 = 0, 2*c - 2*z - 272 = 0. What is the greatest common factor of c and 26?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.1229910889 + -0.122986. What is m rounded to 6 dps?\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*g - 18 = -4*f - 12*g, -2*g = 4. Let v be (f - 11\/2)*-10. Let 8\/11*n**4 + 2\/11*n + 0 + 12\/11*n**3 + 2\/11*n**v + 8\/11*n**2 = 0. Calculate n.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*l**5\/5 + 18691*l**4\/5 + 1562747*l**3\/5 + 6813529*l**2 + 43698225*l - 11355300 = 0. What is l?\nAnswer: -4588, -55, -15, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(2 + sqrt(448) + -4 + sqrt(448) + -1 + (3 + -2 + sqrt(448) - sqrt(448))*3))**2.\nAnswer: 7168","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 14 + -280435315238\nAnswer: -280435315224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 16\/10 + 4\/10. Suppose 2*s - 8 = -x*q - 2, s - 6 = 2*q. Let n = 27\/55 + -2\/5. Is n != q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/5)\/(16\/(-48)*9)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -605 divided by -52553?\nAnswer: 605\/52553","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 96 minutes after 1:07 AM?\nAnswer: 2:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 61027 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2529, 3137, 4133, 5517, 7289, 9449?\nAnswer: 11997","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = u**2 - 10*u + 11. Let v be a(9). Solve -i = 3*n - 7, n - i - v*i - 9 = 0 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33265513 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -131\/111744 and 7\/982998.\nAnswer: 62911872","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = m**3 - 3*m**2 - 9*m + 16. Calculate y(5).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (-610)\/(-549)*(-6)\/5*-6*1\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 65947399?\nAnswer: 7, 719, 13103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 93*o - 5088. What is s(55)?\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1509840010?\nAnswer: 2, 5, 7, 137, 313, 503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -230*q + 57501. Give h(250).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4340 - -10?\nAnswer: 4400","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 10012212112 (base 3) to base 8\nAnswer: 173541","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -551559, -1103161, -1654767, -2206377, -2757991, -3309609, -3861231?\n\"Answer: -2*f**2 - 551596*f + 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -g**3 - 5*g**2 + 8*g + 8. Suppose -24 = 5*q - q. Calculate l(q).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m + 898 = 904 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1 - -4. Suppose k*v = 2*h - 17, 4*v = -4*h - 16 - 0. Let z be (15\/(-10))\/(h\/(-2)). Which is the smallest value? (a) z (b) -3\/5 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve m + m + 6*d = -10, 3*m + 6 = -5*d - 3 - 2 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that -3*c**2 - 46962*c + 140913 = 0.\nAnswer: -15657, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - -5801004001?\nAnswer: 5801004002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 104136 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -996.4219 to the nearest integer.\nAnswer: -996","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 213703 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 541758 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4 + -1. Let b(j) = 7*j**2 - 4. Let v(h) = 6*h**2 - 3. Let p(a) = n*b(a) - 4*v(a). Let q(k) = 2*k + 0*k - k - 2*k. Calculate q(p(c)).\nAnswer: 3*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -3*g. Let x(q) = -636*q**2 + 262 + 260 + 215 - 737. Determine n(x(s)).\nAnswer: 1908*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.0220678 rounded to zero dps?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -1674 - 2*h + 3023 - 1349. Let i(n) = 1 - 8 + 7 - 16*n. Calculate i(k(f)).\nAnswer: 32*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 325*v - v**2 + 3*v**2 - 202*v - v**2 - 231*v to the form b*v**2 + o + l*v and give l.\nAnswer: -108","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2 - 24\/10 - 697797\/(-5). Suppose 0 = -2*q + 5*j - 1920020, j = -q - 1099555 + z. What is q rounded to the nearest one million?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 8.6 - 11. Let p = 2 + d. Which is the third biggest value? (a) 1 (b) p (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1700.925mg to kilograms.\nAnswer: 0.001700925","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4151 to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**3*a**(2\/25))\/(a\/(a\/(a**8\/a))*a*a**(1\/7)))**(-49) assuming a is positive.\nAnswer: a**(6202\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 n when two letters picked without replacement from yunyyiiiiynurr.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2 - -2.2. Suppose 0 = 2*s + 3*s + 5*n - 10, -2*s + 2*n = 16. Let h be 416\/(-78) - 18\/s. Which is the third smallest value? (a) h (b) k (c) 0.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-8)\/(-6) - 3)*(-8 + 11). Let f(c) = -c**2 - 5*c + 13. Let q(y) = 2*y**2 + 7*y - 19. Calculate o*q(h) - 7*f(h).\nAnswer: -3*h**2 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -61*g + 29*g + g**2 + 6 + g**4 + 20*g + 12*g in the form z + n*g**2 + p*g**3 + k*g + q*g**4 and give z.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1728312 and 72.\nAnswer: 5184936","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 11\/10 of a millimeter?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 403096500?\nAnswer: 2, 3, 5, 37, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 50721 at least -58?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -22*u**3 + 1073*u**2 - 1808*u + 5?\nAnswer: -132*u + 2146","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, 0, 1, 0.4, 2853 in decreasing order.\nAnswer: 2853, 1, 0.4, 0, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*u - 775 = -4*u. Let l be 4\/(-18) + u\/(-9). Suppose -3*b = -3 - 12. Solve 21 = v - b*h, -5*h = 3*v - 5*v + l for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6566 divided by -19?\nAnswer: -6566\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1184 not equal to 1185?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.389 - -8662.389. Let h = r + -8612.27. Let g = -50 + h. Round g to one decimal place.\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 190942197 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sum 10 and -1414462.68636.\nAnswer: -1414452.68636","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1209956 to the power of 1\/2, to the nearest integer?\nAnswer: 1100","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 68*q - 9. Let c(p) = 23*p - 3. Let f(l) = -11*c(l) + 4*t(l). Is f(2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*1092.\nAnswer: 4368","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 94737 - 67085. List the prime factors of f.\nAnswer: 2, 31, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1226.4 + -1258.4. Let h be 2\/9 + 26\/(-36). Which is the fourth smallest value? (a) 0.4 (b) s (c) -4 (d) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:07 PM and 3:22 PM?\nAnswer: 195","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y + 6 = -5*c, y + 109 = -4*c + 97 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2893383919 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) be the first derivative of 17*b**3\/3 + b**2\/2 - b - 2. Let k be i(1). What is the highest common factor of k and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 5180*f - 40. Calculate x(0).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 33\/(-12) + (-2059)\/(-116)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve z + 16*x = 14*x - 8, -z - 3*x = 10 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -234837.08 to the nearest ten thousand.\nAnswer: -230000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8623.\nAnswer: 8623","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -0.042*-0.2\nAnswer: 0.0084","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -111000110010111001 (base 2) in base 11?\nAnswer: -149865","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 81645225?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**0\/x**3)\/(x**(-3\/2)*(x*x**(-6))\/x*x) assuming x is positive.\nAnswer: x**(7\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) be the second derivative of 13*y**4\/12 + 25*y**3\/6 + 2*y**2 + 1026*y. Let j(l) = -7*l**2 - 13*l - 2. Determine -11*j(d) - 6*p(d).\nAnswer: -d**2 - 7*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-123)\/(-9) - 2\/(-6). Solve -5*v + 5*g + 17 = 7, -3*g = 5*v + n for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (126\/(-24))\/((-300)\/(-100)*1\/16)?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) be the first derivative of 190 + c - 9\/2*c**2 + 1\/3*c**3. Calculate p(6).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence llll when four letters picked without replacement from hhhllhllhhhhlhhlhlll.\nAnswer: 42\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5, -12, -23, -38, -57, -80, -107?\nAnswer: -138","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4 + 0 - 1 - 6 + 4*c**3 to z*c**2 + q*c + h*c**3 + v and give v.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -t**2 + 9*t + 3. Let n be d(9). Let z(f) = n*f - 5*f - 5*f + 2*f. Let i(y) be the second derivative of y**3\/6 + 3*y. What is i(z(r))?\nAnswer: -5*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -10 + (17 - (39 + -23)) + 1 + 7\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6 and 162?\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) be the second derivative of -j**4\/12 + 4*j**3\/3 + 3*j**2\/2 - 11*j. Let l be d(8). What is the third derivative of -17*v**l + 4*v**2 + 407 - 407 wrt v?\nAnswer: -102","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1850 * 1.914\nAnswer: -3540.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 3236222?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/101, -578, 86, -2 in increasing order.\nAnswer: -578, -2, 3\/101, 86","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1 - 43401514?\nAnswer: -43401513","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 3*f = 6, 0*s + 3*s - 10 = -5*f. Let u be (-3)\/((-3)\/(-111) + s). What are the prime factors of u\/(-9) - (-2)\/3?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -59, -82, -105, -128, -151, -174?\nAnswer: -197","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3 - 3*l**4 + 3 + 5*l**4 - 3*l**4 - l**4 + (2 + 3*l**3 - 2)*(-4*l - l + 4*l) - 2*l**4 + 3*l**4 - 3*l**4 + (2*l + 0*l + 0*l)*(-4*l**2 + 2*l**3 + 4*l**2).\nAnswer: -3*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2.3 - -2.265. Let p = 0.069 + d. Let l = p + 0.036. What is l rounded to two decimal places?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -c - 3. Let z be b(-3). Let j be 136\/(-14) - (-8)\/(-28). Let h be 2 + 21\/j - z. Which is bigger: -1 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -6869.379662 to the nearest 100.\nAnswer: -6900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from egysusd. What is prob of picking 1 d, 1 y, 1 u, and 1 e?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) be the second derivative of -2*y**7\/315 + y**5\/45 - 13*y**2\/2 + 7*y. Let l(n) be the first derivative of r(n). Solve l(k) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = 2*z - 66, 9*z - 5*z - 132 = -4*n. Find the third derivative of 129*m**6 - 85*m**6 - 96*m**2 + z*m**2 wrt m.\nAnswer: 5280*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) be the third derivative of w**6\/120 + w**5\/20 - w**4\/6 + 5*w**3\/6 - 11*w**2. What is n(-4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5050, -22003, -50260, -89821?\nAnswer: -140686","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -155, 3, -4 in descending order.\nAnswer: 3, -2, -4, -155","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-3)\/18)\/(7\/21). What is the nearest to -2\/5 in k, -5, 1\/2?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:25 PM and 10:11 PM?\nAnswer: 586","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*h - h + 0*h + (2 - 5 + 0)*(-943 + 38*h + 943).\nAnswer: -113*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a - 4*z - 7 = -5*z, 3*a + 13 = -5*z for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -1114*r**2 + 4*r + 17. Let s(j) = j**2 - 6*j + 2. Let a be s(4). Let b be t(a). Let w = b + 58511. What is w rounded to the nearest 1000?\nAnswer: 18000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/(r*r**(-14)\/r*r))\/r**(-2\/11)*(r*r**0\/r)**(-1\/7) assuming r is positive.\nAnswer: r**(156\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -55 - -83. Let o = -13 + y. Suppose -8*m + 5*m = o. Which is the closest to m? (a) 0 (b) 1 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12518 is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - 3)*((0 + 2 - 4)*(-6 + 0 + 5) + 1 - 4 + 2)*(8*x + 2*x + 7*x).\nAnswer: -51*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/1103 at most as big as -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 703.4525 decades to years.\nAnswer: 7034.525","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -t**2 + 10*t + 2. Let l be u(6). Let q = -17 + l. Suppose -2*g = k + 13, 7*k + 2*g - 43 = -50. What is the greatest common divisor of k and q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - r + 22 = 0. Suppose -r + 1 = 2*n. Which is the second biggest value? (a) -1 (b) -2\/7 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000077 rounded to four dps?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.06245 and -4?\nAnswer: 0.2498","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (d**2 - 3*d + 3*d)*(5 + 8*d - 12*d + 8*d).\nAnswer: 4*d**3 + 5*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*q + q. Suppose q = -5*y - 0 + 5, 18 = h - 3*y. Let o = h - 17. Solve 2*t - o = -2*c, 5*t - 3*t + 20 = 4*c for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 4*q + 4 = 0, 0 = 9*o - 4*o + 4*q + 4. Solve o = -r - 2*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -121\/30 and 37\/7034118?\nAnswer: 35170590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide 325722330 by 786.\nAnswer: 414405","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 13563*b + 721. Is x(2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00418859883 rounded to 7 dps?\nAnswer: 0.0041886","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -5 - -243513?\nAnswer: 243504","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5.538 + -0.402. Let m = f + -1.06. Put m, -0.3, -3 in decreasing order.\nAnswer: -0.3, -3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.09 in -1, -4\/7, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 4208439523 to the power of 1\/8, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 8 - 23*m - 7*m + 0 + 49*m. Let r(q) = -2*q. Give b(r(h)).\nAnswer: -38*h + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 45 = 6*c. Let s = -3 - c. List the prime factors of s.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-5)\/(-2) + 5 + (-27)\/6. Find the first derivative of 457*p**2 + p**4 + 3*p**y - 103 - 457*p**2 wrt p.\nAnswer: 4*p**3 + 9*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ma when two letters picked without replacement from baeaabeaeebjm?\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -22 - (-46)\/((-276)\/(-42))?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -6411*x**2 + 3*x**3 + 6411*x**2 + 21*x**4 - 101*x**4 - 1 as g*x**3 + j*x + s + f*x**2 + l*x**4 and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10110111 + -1010011?\nAnswer: 1100100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:21 AM and 12:59 PM?\nAnswer: 578","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41 = -7*y + 659. Calculate the remainder when y is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 689282938 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 717.67272 rounded to the nearest 100?\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 457 minutes before 10:18 PM?\nAnswer: 2:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 28 - 30. Let x = -13 - -12.7. Let i = -2 - -2. Which is the second biggest value? (a) x (b) j (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + 5 + -11 + (-27 - -48).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 75117 is divided by 65.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**3*h\/h**(-2\/5))\/(h**(2\/7))**(-16\/7))\/((h\/h**1)\/h**(-2\/9)*h**5*h**(-4)) assuming h is positive.\nAnswer: h**(8447\/2205)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 198217865 is divided by 9910893.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-24)\/6)\/(36\/153)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 2*l**3 + 4*l - 5. Suppose 4*j - 20 = -j. Let r(v) = -3*v**3 - 5*v + 6. Give j*r(x) + 5*u(x).\nAnswer: -2*x**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve w - 3 = -0*w - 4*k, 0 = -w - 5*k + 5 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/(-10) - (-44)\/20. Let i(p) = 2*p - 3. Let g be i(n). Let j = -2809 + 2813. Sort j, -4, -3, g in descending order.\nAnswer: j, g, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 13*m**2 - 6 + 3 - 6*m**2 - 5*m. Let y(l) = -6*l**2 + 4*l + 2. Let x be (1152\/81)\/16*(4 - (-3)\/6). Determine x*s(o) + 5*y(o).\nAnswer: -2*o**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.07 and -1.9?\nAnswer: -0.133","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 1\/20 of a hour?\nAnswer: 180","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 824 + -689. Find the common denominator of -53\/410 and v\/150*(-25)\/(-24).\nAnswer: 3280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3.92 - -0.08. Let r = -3.8 + n. What is the second biggest value in r, -1\/4, -1\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 44856793166 and 14?\nAnswer: 44856793152","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.034 and 0.8?\nAnswer: 0.0272","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -102012 + 101?\nAnswer: -101411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -20 (base 16) to base 10.\nAnswer: -32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-90)\/(-300))\/(6\/8)\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 500 is divided by 124?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 54278.\nAnswer: 2, 7, 3877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 6*h - 7. Let k be o(3). Calculate the greatest common divisor of k and 88.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 621844799?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-10)\/30 + 7\/3. Let z(a) = -a**3 - 3*a**2 - a - 3. Let p be z(-3). Solve -3*n - 2*d = 12, 2 + p = 2*n - t*d for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 9.52 - 7.2. Let r = -2.4 + 3.1. Let k = x - r. What is k rounded to 1 decimal place?\nAnswer: 1.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) be the third derivative of h**7\/735 - h**6\/140 - h**5\/21 - 193*h**2 - 3. Find r, given that m(r) = 0.\nAnswer: -2, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 1395*k. Let h(l) = -2*l**2. Give i(h(z)).\nAnswer: -2790*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -920123379.00895749 - -920123385. Let n = -5.991 + z. What is n rounded to six dps?\nAnswer: 0.000043","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -q**2 + 42*q - 105. Let y be p(39). Calculate the greatest common divisor of y and 852.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (4\/(-14) - (-2101676)\/4162977) + (-8)\/36. Which is greater: 0 or x?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11373 divided by 11581?\nAnswer: -11373\/11581","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*-5*-6*(sqrt(720) + sqrt(720) + 0)**2 - (1 + (sqrt(720) - (sqrt(720) + 4) - sqrt(720)) + (sqrt(720)*-4 + sqrt(720))**2*6).\nAnswer: 12*sqrt(5) + 479523","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*h**3 + 1474 - 1474.\nAnswer: -3*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 8235440 = 6*m. Suppose -3*l - l - 4*n + m = 0, 0 = -2*l - n + 823541. Let r = l + 538231. What is r rounded to the nearest 100000?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (90\/24)\/(23\/13248) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 186330000 rounded to the nearest one million?\nAnswer: 186000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -17335 - -17338. Suppose 4*o = 3*p - 33, 0 = -4*p + 3*o + 2*o + 43. Solve h*y - p*y = -8 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 234360.3 litres to millilitres.\nAnswer: 234360300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 128 and 15778496.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2 + 1 - (1 + -2). Let k be (-2 - (-24)\/s) + -4. Let r be 3*((-10)\/(-3) + (k - 2)). Solve -4 = -3*z - 0*z - 4*t, -4*z - 4*t + r = 0 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*y**3 + 26*y + 230 with respect to y.\nAnswer: 9*y**2 + 26","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - 9 - (1 + 4 + -9)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -2646 divided by -294?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 37 = 2*r - r, -5*i - 27 = 4*r. Let g = i - -11. Suppose 0 = g*w - 3*w - 5. List the prime factors of w.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 5*c + 40. Let z be n(-7). Suppose -z*m - 534 = 201. Which is bigger: m or -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 12 = -a. What is the remainder when 9980\/84 - (-112)\/588 is divided by a?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-93)\/13268*(-176)\/36 and -13\/3959.\nAnswer: 11877","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 14 + -13. Let z(o) be the second derivative of o**3\/6 - o**2 - 46*o. Determine z(p).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -33 + 55. Suppose 2*q = -13*o + 12*o + 31, -4*q + 2*o = -82. Calculate the smallest common multiple of k and q.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 32382 and 369.\nAnswer: 1327662","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 54 minutes after 4:14 AM?\nAnswer: 5:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1899 a factor of 56955588?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*h**3 + 25*h - 4*h**3 + 11*h**3 + 5*h**4 - 3*h**3 as d*h**4 + l*h**3 + i*h**2 + g + v*h and give v.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -l + 8. Let p(c) = c + 3. Let f be p(6). Let r be g(f). List the prime factors of 6 + -4 - 14\/r.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 9969828 - 17769828. What is r rounded to the nearest 1000000?\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -9*q**3 + 8*q**3 + 0*q + 5*q + 4. What is the tens digit of l(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 100684 + -101372.23. Let c = d + 691. Let i = c + 1.23. What is the third biggest value in i, -0.2, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1898 divided by 146\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 59 + -7787?\nAnswer: -772a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) be the third derivative of i**4\/2 - 7*i**3\/6 - i**2 + 465*i. Calculate n(2).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10 - 111?\nAnswer: -101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y = -2*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -432747900 to the nearest one hundred thousand.\nAnswer: -432700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*l - 2932445 = 5*l - 4*w, 4*l - 3*w = 2345987. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-30)\/(-45) + (-14)\/3 + -1.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mjqg when four letters picked without replacement from {n: 2, m: 2, p: 1, j: 1, g: 1, q: 2}?\nAnswer: 1\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-nine fifths of a microgram in nanograms?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2 (b) 98446 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -6*p**2 + 79*p + 7. Determine u(11).\nAnswer: 150","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from diiiidddiddi. What is prob of picking 2 d?\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g = -10821*v + 10822*v + 1, 0 = -4*v - g + 17 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 415762.\nAnswer: 2, 47, 4423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/(-4)*6\/(-72)*-2.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 1310, 787, 264, -259, -782, -1305?\n\"Answer: -523*t + 1833","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 540827?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1108?\nAnswer: 2, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 9 + 78. List the prime factors of j.\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 x when three letters picked without replacement from {x: 3, y: 4}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) be the third derivative of j**6\/240 + j**5\/120 - j**4\/48 - j**3\/12 + 7*j**2. Suppose r(m) = 0. Calculate m.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -111, 3, -1\/3, -15, -2\/15.\nAnswer: -111, -15, -1\/3, -2\/15, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in -88, -2\/15, 5, 1.2?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 1757 divided by 3\nAnswer: 1757\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 129 - 68. Suppose 3*p + 5*g = o, -83 = -7*p + 3*p - 5*g. Calculate the remainder when p is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-11 - 2) + 13 - 11.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 19178?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*y - 5*y + 72 - 60 + (0 - 5 + 4)*(1 - 1 + 2*y) to the form v + w*y and give w.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -9839, -14268, -18697, -23126, -27555?\n\"Answer: -4429*w - 5410","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = h**2 - 7*h + 1. Let t be i(7). Suppose -2*p = a - p - t, 4*a - 34 = 2*p. What is the smallest common multiple of a and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = 4*q + 15 - 110, -5*y + 125 = 5*q. Is q at least 23?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -12 + 24. Let y = -22 + c. What is the biggest value in -4, 1, y?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -64\/21 and -65\/6426618.\nAnswer: 44986326","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at most as big as 1\/10368?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) be the first derivative of 5*m**2 - 115*m + 131. Let k be q(12). Solve k*l = 4*l - 3, 0 = -2*h + 3*l + 11 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 (base 12) in base 2?\nAnswer: -101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -l**2 + 7*l - 8. Let w be b(6). Let i be (-10)\/w*(-96)\/(-30). Solve 5*c - h = c + 8, -i = -4*h for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 6 - (-182 + 6) - 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-63 - -3)*-882*(-6 - 56\/12). Round t to the nearest 1000.\nAnswer: -564000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -185*m + 5733. What is k(31)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 46 a factor of 49036?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7569 = 64*b - 175. Solve -46 + b = 15*q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + sqrt(700)*-2 + -2 - ((sqrt(210)\/(sqrt(6) + sqrt(96)))\/sqrt(5) + -3).\nAnswer: -101*sqrt(7)\/5 - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*i + 5*b - 24, b = 3*i - 2*b + 6. What is the smallest common multiple of i and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4115*t + 7036*t - 143290 = -15698*t + 359423 for t.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -69*s - 419. Determine f(-6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 20*m + 13. Let u(d) = -d - 22. Let r be u(-18). Let z be j(r). Let x = 71 + z. What is the highest common divisor of x and 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -11, -1.19, 0, 5\/7, 0.4, 1\/3 in ascending order.\nAnswer: -11, -1.19, 0, 1\/3, 0.4, 5\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = 6 - 1. Suppose -50 = -z*p - 0. Suppose -2*s - 58 = -4*s. What is the remainder when s is divided by p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 117\/55 - -3\/11. Which is bigger: j or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000458734 to six decimal places.\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = f + 18. Let h be m(-3). Which is smaller: -9 or h?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -246*u**5\/7 - 70*u**4 - 242*u**3\/7 + 2*u**2\/7 = 0 for u.\nAnswer: -1, 0, 1\/123","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1550?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -1*9944\/(-2128) + -5 and -67\/152?\nAnswer: 1064","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 445 and 199805?\nAnswer: 445","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in 7, -142, 6, -1, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = d**3 - d**2 + d - 1. Let h(b) = 14*b**3 + 10*b**2 + 38*b + 2. Let t(v) = 10*c(v) - h(v). What is r in t(r) = 0?\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) 43 (b) -4 (c) 77\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = -3*n + 94, 4*z - z - 150 = -5*n. Suppose 0 = -2*b + 2*s - n - 21, 4*b - 2*s = -110. List the prime factors of 7\/b - (-33)\/4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 7, g: 2, l: 5}. What is prob of picking 1 l and 1 i?\nAnswer: 5\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2717.2 + 2717. Put u, 5.2, -3 in decreasing order.\nAnswer: 5.2, u, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6585 is divided by 39?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1602, 1828, 2212, 2760, 3478, 4372, 5448?\nAnswer: 6712","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -20*j**3 + 2*j**2 - 29*j + 12. Let k(r) = 7*r**3 - r**2 + 10*r - 4. Let u(x) = 17*k(x) + 6*l(x). Give u(-4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1 + ((-12)\/15)\/((-10)\/275). Suppose 9 + c = 4*v. Calculate the highest common factor of 8 and v.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 11603 and 283?\nAnswer: 283","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 651.00443 rounded to one decimal place?\nAnswer: 651","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*s**3 - 35*s**2 + 69*s**3 + 23*s**3 + 35*s**2.\nAnswer: 109*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -s - 0*s + i, -5*i + 32 = 3*s. Suppose 2*p = w - s, -2*w + 18 = -w + 5*p. Let r = w + 1. What are the prime factors of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -12634, -12632, -12630?\nAnswer: -12628","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r*r**(-2\/3)*r)\/r)**13\/(r**(6\/11)\/r**2) assuming r is positive.\nAnswer: r**(620\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6 - -17. Factor 12*t + m*t**2 - 8 + 10*t - 3*t**2 - 24*t + 2*t**3.\nAnswer: 2*(t - 1)*(t + 1)*(t + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 3 - 1 + (3 + 1 - 5)*(1 - 1 + 2))*(p**2 + 3 - 3).\nAnswer: -6*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 16 from -0.1973.\nAnswer: -16.1973","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x**4 + 8369*x**3 - 29316*x**2 + 9*x + 37692 = 0. What is x?\nAnswer: -4188, -1, 3\/2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f**5 - 72*f**4 + 12*f**3 + 208*f**2 - 144*f = 0.\nAnswer: -18, -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -504 - 525 = 3*o + 4*j - 780, -5*j = -5*o + 285 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1 - -16)*24\/60. Suppose 4*p - 2*w + i*w = 168, -p = 5*w - 58. What is the units digit of p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 414803 is divided by 4027.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 4*c + 32 = 0, 0 = 4*y + 7*c - 2*c - 42. Let i = -6 - y. Let n = -9 - i. Solve -8 = -n*x - 28 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1293 is divided by 85.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -3063604938.2 to the nearest one hundred thousand.\nAnswer: -3063600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 74293.\nAnswer: 74293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x + 49 = 2*g, -11*x + 16 + 63 = 2*g for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -q**3 - 98*q**2 + 123*q + 1158. What is y(-99)?\nAnswer: -1218","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44 = 3*f + 4*o, -3*f + 2*f - o = -15. Let p(r) = -r**2 - 11*r - 6. Let j be p(-6). Calculate the highest common divisor of f and j.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 363 = -6*o, -1425*o + 1426*o - 2*c = 66. What is the smallest common multiple of 5720 and o?\nAnswer: 17160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/11*((-10)\/6 - -1).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -d**3 - 16*d**2 + 16*d - 11. Determine j(-17).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -379\/9 - -42. Do r and 0.3 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 31 and 396\/13 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 12.667 - 12.867. What is the nearest to 0 in -23\/5, -0.62, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -825, -1667, -2509?\n\"Answer: -842*r + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 29861736 and 9220?\nAnswer: 1844","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -18*h**4 - 37*h**3 + 31*h**2 + 31*h - 7. Let v(o) = 6*o**4 + 12*o**3 - 10*o**2 - 10*o + 2. Let g(b) = 2*k(b) + 7*v(b). Solve g(i) = 0.\nAnswer: -2, -2\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13 = -13*d + 5 - 18 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1054184?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -2 - -6 - (0 + 28). Let c = 27 + n. Suppose 3*p + b - 13 = -34, 4*p + c*b = -28. Is p != -27\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -21739, 3946, -4 in decreasing order.\nAnswer: 3946, -4, -21739","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -14*h**3 + 16*h + 3 - 22*h - 3 wrt h.\nAnswer: -84*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) be the first derivative of -5*o**6\/6 + o**5 + 25*o**4\/4 + 5*o**3 - 57. Let p(r) = 0. What is r?\nAnswer: -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 77\/2 + 23\/4*i**3 + 105\/4*i**2 - 283\/4*i + 1\/4*i**4.\nAnswer: (i - 1)**2*(i + 11)*(i + 14)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-6)\/(-90)*9 + 57\/5 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 146959*i**2 + 128845*i.\nAnswer: 293918","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -21303, -21310, -21317, -21324, -21331, -21338?\nAnswer: -21345","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -43 (b) 5 (c) -0.063 (d) -1\/2 (e) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 8*h. Let z(m) = 5*m**2 + 8. Let k(j) = -3*j**2 - 5. Let g(v) = 8*k(v) + 5*z(v). Determine g(y(o)).\nAnswer: 64*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 101221 - 5?\nAnswer: 101213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -9.06 or 1\/12?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(1 + sqrt(432) - (-1 + 0 + sqrt(12)\/sqrt(4)))*4)**2.\nAnswer: 11264*sqrt(3) + 93952","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-3\/7)\/v*v)**(-2))**7 assuming v is positive.\nAnswer: v**6","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1 + 1\/(-24)*15. What is the fourth biggest value in 0, 0.3, s, 0.4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 3, -3, -5, -308 in descending order.\nAnswer: 3, -2, -3, -5, -308","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -320 = -4*i + 9*f - 11*f, -400 = -5*i + f. What is the remainder when i is divided by 38?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8819.\nAnswer: 8819","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -10 + 5. Suppose -9*c - 10 = -4*c. Let v be c\/(-3)*5\/10. Sort 0.3, v, n.\nAnswer: n, 0.3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 855 is divided by 77?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 30 + -29. Let k be 5\/b*11\/11. Suppose 0 = y - h, 24 = k*y - h + 2*h. What is the remainder when 15 is divided by y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -60 + 557. Let f = q - 277. What is the hundreds digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -c**2 - 4*c + 64. Give t(-10).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 371084?\nAnswer: 2, 7, 29, 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*y**2 + 88*y**3 + 79*y**3 - 17*y**2 - 169*y**3 + 23*y**2.\nAnswer: -2*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 293 = 5*s + k, -2*s - 3*k = -26 - 99. Suppose -4*b - s = -6*b. Let c = 13 + b. Calculate the remainder when 83 is divided by c.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 617973?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:20 PM and 2:27 AM?\nAnswer: 607","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 12096154349 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) be the second derivative of 22*n + 29\/56*n**8 + 0*n**5 + 0*n**6 + 0*n**2 + 0 + 0*n**3 + 0*n**7 - 1\/3*n**4. Find the third derivative of s(k) wrt k.\nAnswer: 3480*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (32 + -4)\/7*1*-1. Let h be (-18)\/14 - 4\/(-14). Let r(n) = -3*n**2 - n - 2. Let o(s) = s**2. What is c*o(q) + h*r(q)?\nAnswer: -q**2 + q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, b: 2, e: 7}. Give prob of picking 1 b and 1 a.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 543, -88, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = y**2 - y + 364. Let d be m(0). Suppose -a + 2*a - d = -4*c, 0 = -4*c - 5*a + 348. Let l = -50 + c. Calculate the highest common divisor of l and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*q + d - 35398 - 50142, -2*d + 85540 = 4*q. What are the prime factors of q?\nAnswer: 5, 7, 13, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 60 (base 11) in base 14?\nAnswer: 4a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (256 - -4) + -5400 + 5254?\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 764883443 to the power of 1\/2, to the nearest integer?\nAnswer: 27657","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*i = -3*i - 10*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6 + -6. Suppose -4*o + 9*o = d. Solve 0 = k - 3 - o for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(154) - (4*sqrt(154) + sqrt(154)))\/sqrt(7))\/sqrt(2) - ((sqrt(11) - sqrt(396)) + 0)*4.\nAnswer: 16*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 4049 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 39, 2197, -1, -5, 17\/5?\nAnswer: 2197","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(21)\/(sqrt(21)\/(sqrt(14)\/sqrt(2))) + -1 + (sqrt(35)\/sqrt(5)*4 - sqrt(7)) + (sqrt(42)\/sqrt(2))\/sqrt(3)).\nAnswer: -30*sqrt(7) + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 251003689?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 26 + -16. Suppose -5*a - w = 5. Let p(g) = -3*g - 3. Determine p(a).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*g + 12 + 13. What is the highest common divisor of g and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 4, -4\/81, -87\/425?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) be the first derivative of 27*h**4\/4 - 21*h + 21. Find the first derivative of q(s) wrt s.\nAnswer: 81*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 168, 2378, 8418, 20208, 39668, 68718?\n\"Answer: 320*t**3 - 5*t**2 - 15*t - 132","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q + 1969 - 1973 = -s, 0 = q - 13*s - 12 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2 + 2. What is the biggest value in -1\/4, 0.4, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 25 = 3*i. Let j(p) = 19538 - 12*p - 26*p + 29*p - 19531. Let b(f) = -3*f - 2*f - 4 + 8. Calculate i*b(q) + 3*j(q).\nAnswer: -2*q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 292 + 328 = 0. What is the units digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 6\/4 - 1\/(-2). Let q = 0.33 - 0.03. Which is the nearest to -1? (a) o (b) -1\/2 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 235458 is divided by 372.\nAnswer: 354","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6 + -12 - -8) + (1 - (17 - 1)).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ii when two letters picked without replacement from {r: 2, h: 4, j: 1, i: 7, g: 2}.\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -15*(-1 + (-2)\/(-3)). Find the third derivative of 5*k**2 - 6*k**2 - 3*k**5 + 2*k**5 + d*k**2 wrt k.\nAnswer: -60*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - n = 0, 0 = 5*o + 2*n + 5 - 14. Suppose 2*x - 163 = -5*h, -x - o*h = -2*x + 76. List the prime factors of x.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4483, -4495, -4507, -4519, -4531, -4543?\nAnswer: -4555","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 811154 is divided by 101394.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(252)*2 - (2*sqrt(252)*-5 + sqrt(252))) + 5*(sqrt(252)*-2*-1 + sqrt(252)) + 4.\nAnswer: 4 + 168*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 232*a - 236*a + 14 = 0, -22 = -4*g - 5*a. Solve 5*f = -4*m - 1, -3*f + 2*f + 2 = g*m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -38122 + 38085 + (-11 - (2 - (0 + 1)))\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 613312 is divided by 2175?\nAnswer: 2137","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l - l = -3. Suppose g = -l*g + 300. Suppose -4*k + 1448*m - 1450*m + 28 = 0, 4*k = -m + 42. What is the remainder when g is divided by k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 395697.48 plus 4009.8?\nAnswer: 399707.28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*q = -2444 - 658. Calculate the greatest common divisor of q and 470.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 3*w**2. Let y(i) be the third derivative of -17*i**4\/12 - i**2 + 31*i. Determine q(y(p)).\nAnswer: 3468*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*c**4 + 94*c**3 - 30*c**2 - 198*c - 54 = 0. Calculate c.\nAnswer: -1, -3\/10, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*c + 1 + 7 = 0 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 418498?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v = -x + 6, -3*v + 2 = -4*v + 5*x for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 86610 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 56585 (base 12) to base 3\nAnswer: 12211120102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1944635997 is divided by 96?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1673.39 * 0.3.\nAnswer: 502.017","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: ((-12)\/16*(-4)\/(-84))\/((-1380)\/805)\nAnswer: 1\/48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 12439, 1\/2, -0.03?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-20 - 8 + 7)*(328*b - 708*b - 624*b).\nAnswer: 21084*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide -8340 by -6.\nAnswer: 1390","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 2*z**2. Let r(p) be the third derivative of 1183*p**4\/12 + 2*p**2 - 110*p. Calculate r(d(o)).\nAnswer: 4732*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -r**2 + 13*r - 5. Let t be j(13). Let f = -10 + 6. Sort f, 0, t in decreasing order.\nAnswer: 0, f, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 386 a factor of 762967?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in 1, -1\/11, -2, 28\/3, 14?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*t**3 - 3*t + 183 wrt t.\nAnswer: 6*t**2 - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 181.33454 rounded to 1 dp?\nAnswer: 181.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10)\/((54\/(-8))\/((-585)\/520))*12\/(-350)?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 560\/176 - (-4)\/(-22). Let b = -1 + d. Sort 1, 4, b in descending order.\nAnswer: 4, b, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9722, 13983, 18244?\nAnswer: 22505","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 2*q. Let y = 10 - 6. Let t(u) = y*u**2 - 2*u**2 + 4 - 4. What is t(x(h))?\nAnswer: 8*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (72\/(-96))\/(((-3)\/(-2))\/(-1))?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 4*v - 16. Let o be c(5). Which is smaller: o or 2\/17?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -284*t - 24 = 6*b - b, 16*b = 3*t - t + 11*b + 262 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -541 - 6*z + 276 + 274 to r*z + j and give j.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -436233 + 4?\nAnswer: -436226","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 8 and 1254.\nAnswer: 5016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 5*d = 19, 0 = -10*b + 7*b - d + 3. Solve -13 = b*j + 4*k + 11, -40 = 5*j + 5*k for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 11207 and 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = m**2 + 3*m + 3. Suppose 0 = -5*o - 9 - 1. Let j be i(o). Let r be j + (2 - 2) - -2. Solve 2 = 3*p - 2*f + r, 5*f - 10 = 0 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 9\/10 of a milligram?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -17*o**2 + 2*o + 4. Let i(b) = -2*b**2 - b - 1. Let j(p) = -f(p) - 2*i(p). Let r(x) = -3*x**2. Calculate j(r(l)).\nAnswer: 189*l**4 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 89080367 is divided by 149.\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -28*g - 3*g**3 - 27*g + 8*g**3 + 57*g + 361*g**4 to f + x*g + z*g**3 + n*g**2 + o*g**4 and give o.\nAnswer: 361","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -16 + 651560306?\nAnswer: 651560260","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (-72)\/198*((-77)\/(-11))\/7\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 3*x**2 + 2*x**2 - 4*x**2. Let g(j) = -80*j + 1 + 79*j - j**2 - 4*j**2. Determine 6*b(l) + g(l).\nAnswer: l**2 - l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/6? (a) -0.7 (b) -1\/4 (c) -5 (d) 448\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = r**3 - 22*r**2 - 106*r + 51. What is f(26)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -44\/213 and 77\/368024?\nAnswer: 78389112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 2, d: 4, f: 3, z: 2}. What is prob of picking 2 b?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 216696?\nAnswer: 2, 3, 9029","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:11 PM and 1:10 PM?\nAnswer: 59","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Add 12 and -39.1.\nAnswer: -27.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, -2\/7, -0.2, -13.7, -3.\nAnswer: -13.7, -3, -0.5, -2\/7, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1434b1 + 3?\nAnswer: -1434aa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by 9937459\nAnswer: 1\/9937459","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1475902955.\nAnswer: 5, 389, 758819","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 6*m - 2*m. Let u(k) = 2*k**3 - k**2 + 2*k + 1. What is the remainder when u(2) is divided by 2*(0 - (-9)\/m)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*w - 280 = 3*w. Calculate the greatest common divisor of 14 and w.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 157856274 is divided by 286?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide -46586 by 2.\nAnswer: -23293","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 764331361 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 114 and 114?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -515*h**3 - 529 + 529 + 301*h**3 - 30*h**3.\nAnswer: -244*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 455 and 2411565.\nAnswer: 16880955","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 - -8 - (2 + -14)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 238485 is divided by 90?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -l**3 - 5*l**2 - 21*l - 101. Let g(n) = 5*n - 9. What is the remainder when g(10) is divided by p(-5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + 41 + (-34 - -2 - -13) + 21.\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c = 4*m + 112 - 123, 4*c + 28 = 2*m for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -69.2 - -69. What is the second biggest value in o, 7, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -r**2 + 26*r - 25. Determine f(25).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 16079 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2) - sqrt(162)*-1) + sqrt(22)\/sqrt(44).\nAnswer: 21*sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t = -7 + 3 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1.4, -135, 134\/11, 4, 1\/3?\nAnswer: 1.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -86 - -88. What is the third derivative of -14*b**2 + 9*b**2 + 5*b**4 + 7*b**y - b**2 wrt b?\nAnswer: 120*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 76.3 + -76.2127. Let h = 0.8 - 0.7. Let l = h - y. Round l to three dps.\nAnswer: 0.013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 8 - 8. Suppose -r - 3*s = 2*s + 11, -4*s + 2 = 2*r. Let p = o + r. Solve 5*m - p = 1 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 b when two letters picked without replacement from sbbbkbkss.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -t**3 - t**2 + 4*t + 12. Let l be u(0). Let x be (-7)\/(-7) + 3 + 4. What is the greatest common divisor of x and l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9 + 2 - (-192 + 191)) + -44 + 17.\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = 2*d + 52. Differentiate -4 + 8 + d*m**3 - 2 + 1 wrt m.\nAnswer: 78*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 9179, 6, 5 in descending order.\nAnswer: 9179, 7, 6, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -32977*f. Let q(t) = -3*t**2. Give y(q(b)).\nAnswer: 98931*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*b = 11724 - 11515 for b.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -28 - -40. Let j be ((-9)\/w)\/(9\/(-2)). Factor -j + 1\/6*r**2 + 0*r.\nAnswer: (r - 1)*(r + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ciwnnno. Give prob of sequence oc.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 0.8765945 tonnes?\nAnswer: 876594.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 9 = c + 4, 3*g = 4*c + 34. Let b(k) = 4*k + 20. Let z(y) = 3*y + 13. Let j(d) = c*z(d) + 5*b(d). Does 6 divide j(-12)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 243 + -225. Suppose k*x = 27*x - 36. Solve 4*b + 0*b = x for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 3*m - m - 3*m. Let i(w) = -104*w**2 + 40. Let c(p) = 8*p**2 - 3. Let x(g) = -40*c(g) - 3*i(g). Determine x(a(j)).\nAnswer: -8*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 7*d**2 + 28*d + 5. Let r(m) = 6*m**2 + 27*m + 4. Give -5*n(z) + 6*r(z).\nAnswer: z**2 + 22*z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 52183 and -30.\nAnswer: -1565490","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 15 - 13. Find the second derivative of 0*t**2 + 0*t**2 - t**5 + 0*t**s + 3*t wrt t.\nAnswer: -20*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 20 = 3*d. Let s = 25 - d. What is the remainder when 72 is divided by s?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (((sqrt(119) - -2*sqrt(119))*2 - 1*sqrt(119)*3)\/(sqrt(28)\/(sqrt(12)\/sqrt(3))*5))**2.\nAnswer: 103\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -110 + 113. Is 7 >= j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - 22\/(-12))*((-25)\/(-250))\/((-4)\/72).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 46294?\nAnswer: 2, 79, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -523607643, -523607642, -523607641, -523607640, -523607639?\nAnswer: -523607638","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -3*n**3 + 2*n**2 + 5*n + 29. Let w be h(8). Let l = -886 - w. List the prime factors of l.\nAnswer: 3, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1\/7 and 17\/7969106?\nAnswer: 55783742","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 179\/3839892 and -42\/85.\nAnswer: 19199460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 7857.769l?\nAnswer: 7857769","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 0.1, 0.5, -132?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -2*i. Let u(k) be the first derivative of -4*k**3\/3 - k - 8. Let y(x) be the first derivative of u(x). Calculate g(y(t)).\nAnswer: 16*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 11805 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*u**3 - 4400*u**2 + 879012*u - 2597544.\nAnswer: 4*(u - 839)*(u - 258)*(u - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 6*v**2 + 7*v. Let f be d(5). Let n = -731\/4 + f. Factor n*k**2 + 21\/4*k**4 + 9*k**3 + 0 - 3\/2*k.\nAnswer: 3*k*(k + 1)**2*(7*k - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 3*h - 50. What is x(6)?\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -142*l + 38 = -210 - 178 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5903*u + 5800*u + 4759*u to h + q*u and give q.\nAnswer: 16462","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 140.99895 - 141. What is g rounded to four decimal places?\nAnswer: -0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -n. Let u(y) = 2*y. Let o = 3 + 1. Let i(c) = o*u(c) + 7*w(c). Let b(a) = -3*a. Let z(t) = -t. Let f(r) = -5*b(r) + 10*z(r). Determine f(i(g)).\nAnswer: 5*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 + 5 - (-7 + (-9 - -5) - 4).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1100133 + -2?\nAnswer: 1100131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 546711?\nAnswer: 3, 11, 16567","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 296 and 4086206.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 0.77 times 7\nAnswer: 5.39","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -902 - 17.94\nAnswer: -919.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 12\/((-119)\/170*-10 - -19)\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/h**(1\/2))\/((h**0\/h)\/h))\/(h**(1\/7)\/((h\/h**(-2\/9)*h)\/h)) assuming h is positive.\nAnswer: h**(451\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 28449 + -14793. List the prime factors of p.\nAnswer: 2, 3, 569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 - 2*b**2)*(b - b + b**2)*(5*b + 9 - 9) + (-6*b**2 + 2*b**2 + 0*b**2)*(-b**3 + 0*b**3 - b**3) + 1 - 28*b**5 + 20*b**5 + 15*b**5.\nAnswer: 5*b**5 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 5*s - 7954 - 39654 = 0, 0 = 3*t - 3*s - 71439. What is the ten thousands digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f*f*f**(-2\/3)*f\/(f\/(f\/f**5))*(f**(-2\/7))**38*((f*f\/(f*f*f**4*f)*f)\/(f*f\/(f*f**(-2))))\/(f**(1\/3)\/f)**(1\/6) assuming f is positive.\nAnswer: f**(-1286\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 135606?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -153, 4 in descending order.\nAnswer: 4, 1, -153","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 27502, 56229, 86178, 117349?\nAnswer: 149742","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 5 = 2*n - 2, -5*q + 3*n = 0. Which is smaller: 340\/79 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3071*c - 2*v = -3048*c + 53, -2*c + 2*v = 72 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 88385 to the power of 1\/3, to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28822 + 28802 = -5*d - 5*l, 2*d = 5*l + 1 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - 1 - 7 - -9?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -3*y + 36. Let q be -1 + (-5)\/(y\/(-12)). Suppose q - 11 = -4*h. Solve 5*o = 2*g + 20, 3*g - h*g = 3*o - 12 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + -1*sqrt(700) + 5 + 5 + ((sqrt(392)*-2)\/sqrt(7))\/(3*sqrt(8)*6 - sqrt(8)).\nAnswer: -172*sqrt(7)\/17 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -186*o + 10. Let m(i) = 185*i - 7. Give 6*m(s) + 4*r(s).\nAnswer: 366*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + 9660\/(-360)*15\/(-70) + 3\/(-24)?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = 3*t - 5, -4*t = 3*f - 3*t. What is the remainder when 36 is divided by 24*((-2)\/3 - f)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 52 divide 119184?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3 and 160896?\nAnswer: 160896","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dddddd. What is prob of picking 4 d?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -91\/4500 and 187\/480.\nAnswer: 36000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 488356645 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1365489 to the nearest integer?\nAnswer: 1169","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*m**3 + 65 + 2*m - m**3 - 67)*(-1 + 0 + 0).\nAnswer: 3*m**3 - 2*m + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b\/(b\/b**(-6)*b)*b**(-3)*b)\/(b**(-5\/3)*b*b**(-5\/2)))**(-4))**(-1\/59) assuming b is positive.\nAnswer: b**(-70\/177)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = -5*m, 0*m - 5*m = -4*t + 3. Suppose -9*v + t*v = 34. Let s = 26 - v. What is the tens digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:15 AM and 1:51 AM?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5281 is divided by 19.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-72)\/(-63))\/((184\/28 - 7)*22)?\nAnswer: -4\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Let h = -68.131 - -115.1166. Let q = 87.7 + -40.7. Let r = q - h. What is r rounded to three decimal places?\nAnswer: 0.014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 36594 + -36666.538. Let b = d + -1.562. Round b to the nearest 10.\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is f9512 + -38?\nAnswer: f94da","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 613129 and 4587?\nAnswer: 1839387","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 394 (base 12) to base 3\nAnswer: 202011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = -w + 30, -4*w = 27 - 7. Let k = -3 + v. What is the units digit of 3\/9 - k\/(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-15)\/10*(-4)\/(-6)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 257 + -148. List the prime factors of l.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -99*f - 105*f - 813 - 15*f - 39*f + 25*f wrt f.\nAnswer: -233","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 315681 to the nearest integer?\nAnswer: 562","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19542991 is divided by 117.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 138 - 136 - (-1 + 0).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -84 - -97. Suppose 0 = -k - 2*p + 11, 5*k - 6 = -p + i. Which is the smallest value? (a) 2 (b) k (c) 1\/5 (d) -1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9 - 19 - -1) + (31 - 16).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 41083213 is divided by 6031.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (1134\/1176)\/(63\/56)\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(2\/53))**(-34) assuming t is positive.\nAnswer: t**(-68\/53)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 478 and 11258.\nAnswer: 2690662","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x = 8*o + 23, -1123*x + 1127*x = 12 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -63 + 89. List the prime factors of k.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(110) - (sqrt(110) - (sqrt(110) + (1*sqrt(110) - sqrt(110))))*-5 - (sqrt(110) - 3*1*sqrt(110)))*6)\/((sqrt(160)*1*3 + sqrt(160))*-2))**2.\nAnswer: 891\/256","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(-12 - 476\/(-42))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000004693464 rounded to seven dps?\nAnswer: -0.0000047","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -210 = -3*g - 207 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by 177\nAnswer: 1\/59","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 86893?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = g**3 - 9*g**2 + 11*g + 1. Let d be r(8). Let z = d - 44. Let o = z - -37. Is 13 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -601\/179 > -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (19\/(-3) - -5)*3\/(-2). Suppose s = q + 4, v*s - 7*s - 5*q = 0. Let u(h) be the third derivative of -h**5\/20 + h**4\/8 - h**3\/3 - h**2. Determine u(s).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 3*r**3 + 56*r**2 - 19*r - 12. Calculate k(-19).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9954795, 19909563, 29864305, 39819021, 49773711?\nAnswer: 59728375","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -c**2 - 26*c + 67. Let f be s(-21). What is the second derivative of -w**3 - 199*w**5 + f*w + 1 + 17842*w**2 - 17842*w**2 wrt w?\nAnswer: -3980*w**3 - 6*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*b**2*l**3 + 6*b**2*l**2*t + 16*b**2*t - b*l**3 + 88*l**3*t wrt l?\nAnswer: 18*b**2 - 6*b + 528*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 25134907?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 339316?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -12\/275 and -32\/2211225?\nAnswer: 24323475","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -j - 1. Let h be -2 + 1*(-1 - 0). Let b be c(h). Solve 4*z = 2*z + b for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (5 + 59 + -4 - -3) + (12 - 5). Solve a = -51*v + 61*v for v.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3120407 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2608 + 77*j - 2608)*(2*j**2 - 3*j**2 + 0*j**2)*(-6*j + 2*j + 2*j).\nAnswer: 154*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 16\/140*(-98)\/(-28)\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 0, -0.3, -56\/33, -2\/17?\nAnswer: -56\/33","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) be the first derivative of 2*m**5\/5 - 2039*m**4\/4 + m**3\/3 + 4349*m**2\/2 - 4762. What is the second derivative of b(c) wrt c?\nAnswer: 24*c**2 - 12234*c + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = -5*z + 3*z + 21, -4*x - z = -15. Is x >= 4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-6)\/14 - 3) + 4. Let s = 6 - 17\/3. Which is the nearest to -1\/4? (a) s (b) -1 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor m**2\/7 + 257*m\/7 - 225060\/7.\nAnswer: (m - 363)*(m + 620)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 1\/153439?\nAnswer: 1\/153439","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -8296 + 8296.4. What is the third smallest value in s, 2\/7, -2, -9?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2697 + -2892. Is -195 < s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 7\/8 of a litre?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -320 + 2243\/7. Let l be -4*-2*(-4)\/(-16). Determine q so that 3\/7*q**l + 0 + k*q = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1193702 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by 159392.\nAnswer: -1\/79696","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -812 + -1?\nAnswer: -813","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 247\/1932 - 3\/92. Let v be (-2)\/(-27)*(-1 - 2). Let o = -0.12593 - -2.12593. What is the nearest to 0.1 in o, k, v?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17 + (-9 - -123) + -42 - -22.\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 15*v**2 - 317990*v - 19986280.\nAnswer: 5*(v - 21262)*(3*v + 188)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 0 - -2120102222?\nAnswer: 2120102222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 72*u - 2424 = -2280. Let d(s) be the first derivative of s**u + 14 + 2\/5*s**5 + 0*s - 1\/2*s**4 - 2\/3*s**3. Suppose d(h) = 0. What is h?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43*u - 40*u - 7676 = -4*j, 4*u - 3838 = -2*j. List the prime factors of j.\nAnswer: 19, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1495339370 a multiple of 829?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out 9999796.26 - -22.3.\nAnswer: 9999818.56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -34*h**3 - 22*h**3 + 58*h**3.\nAnswer: 2*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19845 is divided by 797?\nAnswer: 717","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36*h + 38 = 2 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 10 and 50?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w\/(w**3*w)*w)\/w*w*w**(-4))**11)**14 assuming w is positive.\nAnswer: w**(-924)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*2*sqrt(72).\nAnswer: -24*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1963125?\nAnswer: 3, 5, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6393 is divided by 23.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*v**5 - 19*v**4 + 8*v**3 + 88*v**2 + 16*v - 48 = 0. Calculate v.\nAnswer: -6, -2, -1, 2\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-1)\/(35\/196) + 6)*190\/(-36) and 59\/399.\nAnswer: 1197","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2892710 and 503080?\nAnswer: 11570840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 119998488*f**2*w**2 - 65829*f*w**2 + 1158*f*w wrt f.\nAnswer: 239996976*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -h + 1. Suppose 5*c + 2*p + 7 = 0, -7 = c - 2*p + p. Let t = c + 7. Suppose 2 = -5*b + t*b. Calculate j(b).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 78, 630, 2120, 5016, 9786?\n\"Answer: 78*n**3 + n**2 + 3*n - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve v = 5*v + 4*f + 4, -v = 3*f + 9 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 201775 to the nearest integer?\nAnswer: 449","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 91165.0167118 + -91165. Let u = -0.0552823 - p. Let v = 0.072 + u. Round v to six dps.\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 163021 (base 12) to base 14.\nAnswer: 9bcc9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -84*w**3 - w**2 - w - 1. Is m(-1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 21282958?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -208 + 500*j - 27*j**3 + 208.\nAnswer: -27*j**3 + 500*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jjqqqjjjqqlqq. What is prob of sequence jqj?\nAnswer: 35\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 39 + -39. Solve g + 1 = -u*g for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2173 is divided by 198?\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 65215?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = -5*z - 14, 0*k - 5*k + 9 = -2*z. Let l(h) = -3*h - 1. Give l(z).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 97 a factor of 1093717021?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 1.67 * -3278\nAnswer: -5474.26","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -27d3 + -6?\nAnswer: -27d9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 304242044 (base 5) to base 2.\nAnswer: 100101111100100000111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 46061.75km to nanometers.\nAnswer: 46061750000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6984.2018 - 0.\nAnswer: 6984.2018","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that 4*v**5 + 1408*v**4 - 1536*v**3 - 43768*v**2 + 1532*v + 42360 = 0.\nAnswer: -353, -5, -1, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) be the first derivative of 4\/3*i**3 + 15 - 14*i**2 + 48*i. Find m such that b(m) = 0.\nAnswer: 3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 3\/5 of a centimeter?\nAnswer: 6000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12 + 0 - 768*h + 4 + 7.\nAnswer: -768*h - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + (14 - 5) + -9 + -8 + -21.\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 28 - 4 = 0. Let x(j) = j**2 + 7*j - 3. Let q be x(-7). Let b = q - z. Solve -2*g - 2*h = -6, 3*h = 5*g - 2*h - b for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 141803082?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*p**3 - 899407 + 1798938 - p**3 - 19*p**2 - 899531.\nAnswer: 2*p**3 - 19*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -66 + 67. Which is the nearest to -1? (a) 0.1 (b) k (c) 5\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 318 minutes before 12:38 PM?\nAnswer: 7:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 519?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 262769 a multiple of 493?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4 + 3.8. Suppose 10 = -4*b + 3*n, 7*b = 3*b - 5*n + 6. Let x be (((-12)\/9)\/4)\/b. Does y = x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 8*y. Suppose 0 = -3*g + 5*c + 27, 0 = 2*g + c - 4*c - 17. Let i be 10*2\/4 - -2. Let f(o) = 5*o**2 + g*o**2 - i*o**2. Determine x(f(a)).\nAnswer: 16*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 2*n**2. Let f(w) = -648*w**2. Determine h(f(g)).\nAnswer: 839808*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -47\/5056 and -87\/8224.\nAnswer: 1299392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2239093622?\nAnswer: 2, 1119546811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 67068?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-24)\/(-136)*(-6)\/9.\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (49 - 150 + 29 - 224)*(4*i + 2*i - 3*i) to the form x + z*i and give z.\nAnswer: -888","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 14*l + 24*l**2 - 31*l + 14*l as h*l**2 + f + v*l and give h.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 6, w: 1, e: 4, p: 5}. What is prob of sequence ppp?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2 (b) -3\/2 (c) -1 (d) 71\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1.7339 - 1.809. Round w to 2 dps.\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that -a**2\/4 - 6095257*a\/4 + 6095261 = 0.\nAnswer: -6095261, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (55*f + 4*f**2 - 55*f)*(-3*f - f + 0*f) as n*f + d + h*f**2 + l*f**3 and give l.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 100379 + -190379. What is g rounded to the nearest ten thousand?\nAnswer: -90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 622105475 to the nearest integer?\nAnswer: 24942","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -242 - -223. Suppose 5*d = 3*d - 4. Calculate the common denominator of t and 3\/d - (-232)\/32.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1591165093 to the nearest integer?\nAnswer: 39889","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24376 is divided by 23617?\nAnswer: 759","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-t + t - 4*t**2)*(t + 0*t - 2*t)*(-2 - 2 + 3).\nAnswer: -4*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 0*x**2 - x**2 + 6*x**2. Let o(v) = -3*v**2. Calculate o(f(n)).\nAnswer: -75*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 2161795 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 550 - 524. Suppose -14*m = -w*m + 11904. What is the tens digit of m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 16 or 9?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b1b1 (base 14) to base 15\nAnswer: 90aa","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -k**2 + 11*k + 15. Let i be b(12). Suppose -4*o - 257 = -5*q, 0 = i*q - 0*o + o - 144. Let y = 118 - q. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -151 - -145. Sort 2\/3, 3\/10, q.\nAnswer: q, 3\/10, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 + (792\/15)\/(-6)?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3613060?\nAnswer: 2, 5, 11, 1493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -26, -5645, 4, 1, 6, 5 in decreasing order.\nAnswer: 6, 5, 4, 2, 1, -26, -5645","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -i + 4*x - 37, 3*i - 3*x + x = -71. Let q be (14\/i)\/(16\/(-6)). Find n, given that q*n + 1\/4*n**2 + 0 - 1\/4*n**3 - 1\/4*n**4 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -12 + 15. Let m be a\/(-2)*(-96)\/36. Let x be -4 + (-32)\/(-144) + 79\/9. Put m, -4, x in decreasing order.\nAnswer: x, m, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) be the second derivative of t**7\/420 + t**6\/120 + t**5\/120 + 7*t**2\/2 + 3*t. Let c(z) be the first derivative of y(z). Factor c(a).\nAnswer: a**2*(a + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8264*0.5.\nAnswer: 4132","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lldzzzzlallzzlll. What is prob of picking 1 a, 1 l, and 1 d?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6808\/161 - 15*(-17)\/357.\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (112 - 100) + (15166 - -1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0 (b) -3 (c) -2\/17 (d) 2 (e) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/(z\/z**(5\/3)))\/((z*z\/z**7)\/z))\/(z**(-3\/5)*z**(-6)) assuming z is positive.\nAnswer: z**(214\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3ce5b + -26b?\nAnswer: 3cbf0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that 19*v**3\/5 + 17*v**2\/5 - 2*v\/5 = 0.\nAnswer: -1, 0, 2\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -a**2 - a + 21. Let f be (-2)\/4 + 133\/(-14) + 5. Let k be i(f). Solve 0 = -3*c - 7 + k for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 295785 is divided by 29018?\nAnswer: 5605","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 10*u. Let k(v) = -2*v**2 - 2*v + 11. Determine k(j(g)).\nAnswer: -200*g**2 - 20*g + 11","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 3*p**3 + 8*p**2 + 9*p - 44. Let h(k) = 2*k**3 + 6*k**2 + 8*k - 44. Calculate 4*h(l) - 3*t(l).\nAnswer: -l**3 + 5*l - 44","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -5*y**2 + 4*y + 1. Let m be c(2). Let x(n) = 8*n**2 - 7*n. Let l(p) = -2*p - 15*p + 16*p**2 + 4*p - p**2. Determine m*x(o) + 6*l(o).\nAnswer: 2*o**2 - o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 647688.0128 rounded to the nearest 100000?\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) be the third derivative of -h**8\/112 - 3*h**7\/70 - h**6\/20 + h**5\/10 + 3*h**4\/8 + h**3\/2 - 13*h**2. Factor c(w).\nAnswer: -3*(w - 1)*(w + 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 9015155?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5048 + 5040. Which is the second smallest value? (a) -0.06 (b) 11 (c) -4 (d) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 48*j**3 + 83*j**3 + 84*j**3 - 173*j**3.\nAnswer: 42*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -v. Let z be f(-6). Solve -g + z = -3*g for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1)\/2 + 196\/8. Let v(u) = u**2 + 17*u - 14. Let k be v(-17). Let h = k + z. What is the least common multiple of 12 and h?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) be the second derivative of 25*p**3\/6 - 84*p**2 + 2*p - 627. Determine l(7).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (20 - 7) + (-4 - -1). Suppose 3*k = 4*a - f, 4*a - k = -a + 18. Suppose -a*p = d - 50, 7*p + d = 4*p + 37. Does 11 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3410*n - 50909 = -1427*n - 4380*n + 750970 for n.\nAnswer: 87","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 28358291 to the nearest integer?\nAnswer: 305","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 30 + -19. Let r = -8 + l. What is the highest common factor of r and 33?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -l**2 + l - 13. Suppose -x - b + 15 - 18 = 0, 0 = 4*b + 12. Give z(x).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cccc. Give prob of picking 3 c.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -29*t**3 - 10 + 11 - 337*t**3 - 2*t**4 - 24*t**3 + t**4 - 2*t in the form r + a*t**2 + q*t**3 + l*t**4 + b*t and give q.\nAnswer: -390","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*n + 2*n - 2 - 4*n)*(0 - 2*n + 0).\nAnswer: -2*n**2 + 4*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -11 or 2655.1?\nAnswer: 2655.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = 3*k - 143, 0 = 2*t - 0*t + 2*k - 138. Let u = -55 + t. Suppose -5*l = -8*l + u. Solve 5*s + 4*n + 0 = 3, -l*s + 24 = -5*n for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1556b (base 13) to base 11\nAnswer: 28460","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add -173.47 and -132416.\nAnswer: -132589.47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = d - 3*d - 3*v - 3, 5*d + v - 25 = 0. Suppose m = -2*m + d. Find the second derivative of -6*p + 6*p**3 + 0 + 2 - m wrt p.\nAnswer: 36*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 114*i - 113*i - 12 = 7*b, -4*b - 2*i - 12 = 0 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -137*y + 201. Let k(z) = 274*z - 396. Let t(a) = -4*k(a) - 9*m(a). What is the derivative of t(d) wrt d?\nAnswer: 137","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -49922720*s**2 - 2482*s + 759 wrt s.\nAnswer: -99845440","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gj when two letters picked without replacement from {j: 2, y: 2, g: 1, z: 1}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 2*v**2 + 4*v + 3. Let f be g(-2). Let s(j) = j**2 - j - 3. Let m be s(f). Suppose m*d - 10 = -4. What is the units digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -746*d + 2609 - 371 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3222204443 (base 5) in base 13?\nAnswer: 15540a1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/l**(-1\/9)*l*l*l**(-2\/71))\/(l**(-1\/6))**(2\/111) assuming l is positive.\nAnswer: l**(72961\/23643)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5.4 - 0.4. Let y = -121 - -118. What is the closest to -0.1 in -5, y, a?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (-2*sqrt(165)\/sqrt(3))\/((sqrt(5) - (sqrt(45) + sqrt(5)))*-3).\nAnswer: -2*sqrt(11)\/9 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.2 - -0.3. Let d(v) = -6*v + 30. Let m be d(5). Which is the closest to m? (a) q (b) -5 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25533\/11 + (60\/66)\/(-5) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4038, 4000, 3948, 3876, 3778, 3648?\nAnswer: 3480","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 divided by 1059.\nAnswer: -8\/1059","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.27 - 0.03. Let x = 140 + -148.7. Let p = x - -9. What is the smallest value in n, -0.1, p?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 32\/(-48)*66\/88?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -41*v**2 + 238*v + 48. Calculate l(6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -16 + 8*a - 8*a - 3*a - 4*a as y*a + h and give h.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (56\/21)\/(2\/9). Suppose 0 = 3*p - 11 + 2. Suppose a*h - 2016 = p*h. What is the greatest common divisor of 28 and h?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*x = -34 + 223. Let n(q) = 4*q**3 + 3*q**2 - 5*q**2 - 7*q**2 - 5*q**3 + 1. Give n(x).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fgcsfcew. Give prob of picking 1 c and 1 g.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -9.614 - -0.014. Let g = 1.4 - x. What is the closest to 1\/2 in g, -0.2, -1\/10?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*(1 + sqrt(425)) + -5)*4 - (sqrt(102)*1*2 + sqrt(102))\/((sqrt(54) - 3*sqrt(54)) + sqrt(6) + sqrt(6)))**2.\nAnswer: -972*sqrt(17) + 1004857\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 8201*i**5 + 4*i**3 + 3*i**2 + 126259*i - 1.\nAnswer: 164020*i**3 + 24*i + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 12\/(-30)*(-5)\/8. Let a = 176 + -176. What is the closest to q in -2, a, -0.2?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -260, -658, -1194, -1868, -2680, -3630, -4718?\n\"Answer: -69*b**2 - 191*b","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3172248 + 6344493 - 2*x + 3*x - 3172245.\nAnswer: x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6*9\/(-27)*-2.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 586 = 2*h - 5*i + 560, 17*h + 10 = 4*i for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 78986, 78993, 78998, 79001, 79002, 79001?\nAnswer: 78998","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 637 + -324. What are the prime factors of s?\nAnswer: 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 53894 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -85.96703 and -0.7.\nAnswer: 60.176921","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -5 + 1 + 6 + (4 - 2)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 110420.\nAnswer: 2, 5, 5521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2.7 + 1.8. Let t = 2.9 + m. Let h be 1 + 0 + (-11)\/44. What is the third smallest value in 1, h, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1 + 4. Let b = 255 - 255.1. Put b, -21, -0.5, c in increasing order.\nAnswer: -21, -0.5, b, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -22 + 18. Sort k, 3, 2 in descending order.\nAnswer: 3, 2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -75\/1736 and -23\/8.\nAnswer: 1736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 8 - 2*h**2 + 12*h + 11 - 19 in the form g + q*h**2 + l*h and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (945\/(-108))\/(2\/((-1440)\/4)).\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 61 divide 36474767?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 6\/15 - 12\/(-20). Let a(p) be the third derivative of 7*p**4\/8 - 3*p**3 + 7*p**2. Let n(l) = -l + 1. Calculate j*a(c) + 18*n(c).\nAnswer: 3*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2432 is divided by 396.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, 3, -3, -4, -102 in ascending order.\nAnswer: -102, -8, -4, -3, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 5241814?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) be the third derivative of 3*d**2 - 2 + 0*d**3 + 17\/24*d**4 + 0*d. Let a(t) = -5*t**2. Give n(a(y)).\nAnswer: -85*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*i**4 - 135*i**3 + 150*i**2 + 280*i.\nAnswer: -5*i*(i - 2)*(i + 1)*(i + 28)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1\/4, 9, 0.5?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1621267 is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -1500250 divided by -3?\nAnswer: 1500250\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 0 + -4 + (891 - 884)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -219*t - 12 = -218*t + l, 3*t - 5*l - 12 = 0. Which is the second smallest value? (a) -80 (b) -0.4 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3*(-1)\/(-6)*14\/(-21)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 218 - 126. Suppose -396 = -98*v + s*v. What are the prime factors of v?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2051.1 + -114.7. Let i = k + 2166. Let j be (-1 + 2)*-7 - -1. What is the biggest value in i, 0.4, j?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*p + 2*p + 76. What is the tens digit of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 425303 (base 7) to base 6\nAnswer: 1330035","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 304135?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 11060 and 1297180?\nAnswer: 1580","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1336 times 18581?\nAnswer: -2482.4216","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at most as big as -6\/313?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 2\/80*(-15)\/(-11)*1078\/(-196)\nAnswer: -3\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 15 - 9. What is the smallest common multiple of f and 10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.1 and -45.\nAnswer: 4.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1\/2, 13.27, -0.277?\nAnswer: 13.27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -2387852 (base 10) to base 4\nAnswer: -21012332030","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = 12*z + 33 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.09 in 21, -1\/187, 3\/4, 0.3, -23?\nAnswer: -1\/187","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 408 minutes before 8:17 AM?\nAnswer: 1:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3995 - -3999. Which is the nearest to 2\/1495? (a) -5 (b) 4\/5 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-2)*v)\/v)**(-4\/17)*((v\/(v\/(v*v*v**1\/v*v*v)))\/v)**(-19)*v**(-4\/5)\/v**4*v**3\/(v**2\/v) assuming v is positive.\nAnswer: v**(-5043\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(364) + (sqrt(364) - -4*sqrt(364)*4))\/sqrt(7))\/((sqrt(256)*-1 - sqrt(4))*-5))**2.\nAnswer: 52\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-1991)\/66*2*1\/(-90) and -2\/135?\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 51.5 + -51.101. Let p = -0.101 - v. Which is the biggest value? (a) 3 (b) -4\/5 (c) 20 (d) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5420*x**2 + 13*x - 10*x - 389 + 5421*x**2 in the form s*x + c*x**2 + u and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/21 of a week in seconds?\nAnswer: 57600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -67 + 102. What is the common denominator of -52\/7 and (k\/10 + -4)\/((-10)\/174)?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43*k - 27*k = 64 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4928?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.4 and -4.3.\nAnswer: 1.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -28869*k + 28870. What is c(1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.8 (b) 4 (c) 27\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -y**5 - y**4 - y**3 + 1. Let p(f) = -35*f**5 - 30*f**4 - 20*f**3 - 5*f + 30. Let w(d) = p(d) - 30*u(d). Factor w(g).\nAnswer: -5*g*(g - 1)**2*(g + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (18\/315)\/((-18)\/15)\nAnswer: -1\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -16471 + 3?\nAnswer: -16467","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -50670 from -15009160.\nAnswer: -14958490","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand -d - d**5 - 2*d + 3 + 29 - d**2 - 2*d**5 + d**2 + (4*d - 2*d**5 - 4*d)*(-2 - 2 + 6) + 4*d**4 - 4*d**4 + d**5.\nAnswer: -6*d**5 - 3*d + 32","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5567 or -5478?\nAnswer: -5567","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/23484981 or 1?\nAnswer: 2\/23484981","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3 - -3.1. Let r = 2.9 - 3. What is the closest to -1 in 4\/3, j, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2\/3 (b) 1\/10 (c) -55 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -8, -433, -1582, -3815, -7492?\n\"Answer: -60*r**3 - 2*r**2 + r + 53","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 2 - 235 = 0. Suppose 2*o = 3*o - r. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-6)\/(-4) + 55\/110. Suppose -v*b + 360 = 22*b. Solve 4*r = 5 + b for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = -59*y + 62*y for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1113804665?\nAnswer: 5, 222760933","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 d when four letters picked without replacement from ddddddddddndd.\nAnswer: 9\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -126 or 0?\nAnswer: -126","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5 + 7. Suppose x*z - 3*k - 94 = 0, k + k = -4*z + 204. Let b be 2*z*(-1 - -51001). What is b rounded to the nearest one million?\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -85 + 83.7. Which is the biggest value? (a) o (b) 2 (c) 3\/4 (d) 5\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (156\/(-13) + 9)*1*2\/(-42).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1b0 + 5?\nAnswer: 1b5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is r in -4*r**3\/3 + 2536*r**2\/3 - 46876*r\/3 + 27880 = 0?\nAnswer: 2, 17, 615","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q = 5*z + 1, 0 = 4*z + 18*q - 14*q - 12 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 55\/8474608 and 47\/3050.\nAnswer: 211865200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = -4*p - 5*v + 11, -4*v = -12. Suppose -p*k + 0 = -18. Let c(m) = 2*m**2 + 2*m - 1. Let u be c(-2). Solve -k*n + 12 = u for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -19, -15, -11, -7, -3?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 69?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + 13 = o + 87, -v - 4*o + 27 = 0. Calculate the remainder when v is divided by 6.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5) + (sqrt(80)\/sqrt(4))\/sqrt(4) - ((sqrt(5)*3 - sqrt(5)) + sqrt(5) + -4))*6.\nAnswer: -6*sqrt(5) + 24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -b**2 - 3*b. Suppose 9 = -5*r - 6. Let y be w(r). Is y + -1 - (1 + -85) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -2*q**3 + 14*q**2 - 17*q - 2. Determine g(7).\nAnswer: -121","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 245, 287, 329, 371, 413?\nAnswer: 455","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is seven thirds of a decade in months?\nAnswer: 280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.1 and -73.\nAnswer: 7.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*k**6 + 176*k**5 + k**3*z + 19*k**2 - 2*k + 3*z wrt k?\nAnswer: -240*k**3 + 10560*k**2 + 6*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 122, 691, 1268, 1853, 2446, 3047?\n\"Answer: 4*t**2 + 557*t - 439","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 7\/(35\/4275)*(-3)\/(-9). Round k to the nearest 100.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4 + 2. Suppose -h = -3*h + 6. Suppose j = 6*j. Solve -2*p = q - b*p + 7, j = h*q - 5*p for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5557578 a multiple of 559?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -3*2\/3 - -33. Let u = -31 + i. Suppose u = 5*m - 4*m - 2. Solve m*z + 0 + 4 = 0 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -119\/6728016 and -64\/63.\nAnswer: 141288336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 124295\/88 + -1412. Let l = -3\/44 + h. Which is smaller: l or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*t + 24 - 24. Let s(h) be the second derivative of -1\/6*h**3 + 0 - 5\/2*h**2 + 4*h. Determine s(t).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 29 - 11. Let k = -40014.743 + 39997. Let i = d + k. What is i rounded to two dps?\nAnswer: 0.26","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 0.0015570696402 rounded to six dps?\nAnswer: 0.001557","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kh when two letters picked without replacement from zlkhzgl.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 156 and 33405.\nAnswer: 1737060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2329106716.\nAnswer: 2, 19, 191, 281, 571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-96)\/918 + 8\/(-68). What is the second smallest value in k, 2, -6?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 381091 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 89910955 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - 448783?\nAnswer: -448779","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 224\/280*(-10)\/28?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -49\/24 and -107\/1772828?\nAnswer: 10636968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -20 + 62. What is the remainder when m is divided by 22?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 22 and 1 - (9\/3 - 44)?\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1 + -2 + 11 - 3. Let h be 2 - 0 - (-3)\/(12\/200). What is the first derivative of 27*p**4 + n - h*p**4 + 17*p**4 wrt p?\nAnswer: -32*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 188\/(-658)*7\/6.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ijvx when four letters picked without replacement from {i: 3, j: 2, b: 1, g: 3, x: 2, v: 1}?\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 3*u = 4*d - 7, -u = 2*d - 7. Suppose 4*z + i + 55 = 0, d*z + 0*z = 5*i - 85. Let x be (18\/z)\/(11\/(-5)). Which is smaller: 2 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g when two letters picked without replacement from {o: 1, h: 7, g: 2}.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -25 - -1120?\nAnswer: 1051","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 2 = -x, 2 = -3*x - d - 4*d. Let q be 1\/(x - 452\/456). Suppose u + 194 = 6*u + 2*y, q = 3*u + 2*y. What is the remainder when u is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1 (b) -42 (c) 1\/437\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that -6*k**5 + 236*k**4 + 1584*k**3 - 2444*k**2 + 630*k = 0.\nAnswer: -7, 0, 1\/3, 1, 45","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = -a + 3, a = -3*k - 23. Let d = k - -12. Suppose 2*g - 5 = -1, -g + 158 = d*r. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 661603 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1346 is divided by 30.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) be the first derivative of x**7\/21 - x**6\/15 - x - 6. Let h(q) be the first derivative of u(q). Factor h(m).\nAnswer: 2*m**4*(m - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 89\/8136 and 97\/1356.\nAnswer: 8136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -6 - 1 - 4\/(-4). Let u = 2 - c. Calculate the remainder when 22 is divided by u.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 + 4*c)*(-2 + 5 - 2) + 2*c + 4 - 4.\nAnswer: 6*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that 125\/8*a**3 - 675*a**2 - 1\/8*a**4 + 11000*a - 40000 = 0.\nAnswer: 5, 40","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 7*k - 13. Let m(x) = 4*x - 7. Let i be (-184)\/(-10) + 6\/(-15). Suppose 0 = 2*t + i + 4. What is t*m(s) + 6*q(s)?\nAnswer: -2*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -9.2 - -8.7. Which is the biggest value? (a) 0.4 (b) 4 (c) -5 (d) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.4, -61, 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 119\/12, 22416.\nAnswer: -5, 119\/12, 22416","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dw when two letters picked without replacement from {w: 2, u: 2, g: 6, d: 1, o: 1}.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1045488 or -1045486?\nAnswer: -1045488","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -11*i - i**3 - 1561 - 8*i + 14*i**2 + 1593 + 4*i**2. Give q(17).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37*r + 39*r = -o + 8, o = 4*r - 4 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 199431056?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -f - 0*f. Let q(y) be the first derivative of 1 - 1\/4*y**4 + 0*y**3 - 1\/2*y**2 + f*y. Find the second derivative of q(k) wrt k.\nAnswer: -6*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = 710 - 278. Suppose 10*m - 4*m = t. Is (-5806)\/(-6) + m\/(-27) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1188 + -1188. Let n = 1 - 0. Differentiate 3 + n - 10*w + l - 5 with respect to w.\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 55*b + 9832 = 756*b + 35769 for b.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 5*c + 5. Let t(d) = -7*d - 6. Calculate -5*i(q) - 4*t(q).\nAnswer: 3*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*p + 4*v, -16357*p + 3 = -16360*p - 5*v for p.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Solve -q + 168 = -0*q + 3*q - 13*n, 81 = -q + 29*n - 36*n for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 74577027 and 474?\nAnswer: 237","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -102290 + 102290.000041619. What is p rounded to five decimal places?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 15010043\/5 or 3002009?\nAnswer: 3002009","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*r = 807 - 846 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*a**2\/7 - 14511788*a\/7 + 29023592\/7.\nAnswer: -4*(a - 2)*(a + 3627949)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/(-7))\/(62\/(-217))*-8?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -h**3 - 5*h**2 - 2*h - 8. Let s be w(-5). Solve -s*o = -8, -2*o = 2*l - 53 + 49 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 2, x: 5, f: 2, u: 2, l: 2}. Give prob of sequence flf.\nAnswer: 1\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 3\/40 of a gram?\nAnswer: 75000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 7\/183028 and -81\/4301158.\nAnswer: 8602316","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let -10*u**5\/3 + 56*u**4\/3 + 424*u**3\/3 + 160*u**2\/3 = 0. Calculate u.\nAnswer: -4, -2\/5, 0, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*d - 9*d - 10*d)*(0 - 2 + 3) + (-14*d + 0*d - 8*d)*(2 + 2 - 5).\nAnswer: 3*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2\/8 - 7\/(-4). Suppose -3*x - 36000005 = -5*l, c*l + 24000001 = -2*x + 3*l. Round x to the nearest one million.\nAnswer: -12000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-1\/4)\/k*k*k**(-5))\/(k*k**(-1))**0)**(-41\/5) assuming k is positive.\nAnswer: k**(861\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -3\/4, 3, 4, 2\/31, 1\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -11*h**2. Let o(x) = 3250*x**2. Give o(n(s)).\nAnswer: 393250*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1401408 and 22?\nAnswer: 15415488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-189)\/108)\/((-14)\/96)*(-8)\/(-3).\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2480.31489 + 0.08511. Round n to the nearest 100.\nAnswer: 2500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 + 3)*(25 + 11*v - 25)*(0 + 3 - 4).\nAnswer: -44*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -1 + -1 + 5 + 1. Suppose d = 2*d - q. Let s = -61 - -61. Solve 0 = 3*h + 4*v - 19, s = d*h - 5*v - 11 - 4 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 26432 divided by 3\nAnswer: 26432\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ql when two letters picked without replacement from {q: 1, e: 2, x: 1, n: 1, c: 2, l: 1}?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -277, -200, -95, 50, 247?\n\"Answer: 2*k**3 + 2*k**2 + 57*k - 338","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(1375) + sqrt(1375))\/((sqrt(11) + sqrt(33)\/sqrt(3))*-5).\nAnswer: sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xpppmxccqmccycx. Give prob of sequence ccmy.\nAnswer: 1\/819","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -3*t - 12829*t**3 + 3 + 4*t**2 - 13 + 12830*t**3. Give o(-4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 7190 and 19978134.\nAnswer: 1438","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:14 PM and 8:45 AM?\nAnswer: 691","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:37 AM and 6:16 AM?\nAnswer: 159","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*o + 57 - 22. What is the fourth smallest value in 0.3, o, -2, -1?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 99949 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -6.3 - -6.4. Put b, -1, -3, 1\/4 in ascending order.\nAnswer: -3, -1, b, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, s: 1, e: 7}. Give prob of picking 1 s and 1 y.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) -9 (b) 0.5 (c) 0.1 (d) -11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 4*r = -3*i - 39, 0 = -4*i - 16. What is the highest common divisor of r and 81?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1100)*-2*-1)**2*-3 - -4*6*(sqrt(1100)*-1 + sqrt(1100))**2.\nAnswer: -13200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 4*f = 20, -2*t = 3*t + 3*f - 66. List the prime factors of t.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6 and 15969680.\nAnswer: 47909040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 9 + 3. Suppose -h + 5*y + 15 = 0, 3*h + 2*y + w = 40. Calculate the greatest common factor of h and 30.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yztotzotztztzzozt. What is prob of picking 2 z, 1 t, and 1 y?\nAnswer: 9\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4 - 1. Suppose -p*s + 11 = f, 0 = -f - 2*s - 1 + 9. Calculate the remainder when f is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -30*y + 6. Let v(b) = 6*b - 1. Calculate 3*l(p) + 16*v(p).\nAnswer: 6*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(-2\/3)\/p**7*p**(-2)\/((p\/(p\/p**6))\/p*p) assuming p is positive.\nAnswer: p**(-47\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 56 minutes after 12:50 AM?\nAnswer: 1:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(-6)*z**3*z**(-2\/9)*z*z**(2\/15)*z*z assuming z is positive.\nAnswer: z**(-4\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 106 - 105.99923. Round q to four decimal places.\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 50 divided by -11\nAnswer: -50\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -9*j**2 - 5. Let a(b) = -10*b**2 - 6. Let x(r) = 5*a(r) - 6*p(r). Let g(f) = 62*f - 106*f + 41*f. Give g(x(y)).\nAnswer: -12*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -44, 77, 1, 0 in increasing order.\nAnswer: -44, 0, 1, 3, 77","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4*(10 + (-636)\/64)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -15, -15, -7, 15, 57, 125, 225?\nAnswer: 363","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -2*r**2 - 4*r - 291. Let b(p) = 33*p**2 - 2. Calculate o(b(c)).\nAnswer: -2178*c**4 + 132*c**2 - 291","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -221122403 (base 5) to base 7.\nAnswer: -11066401","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 16 = 2. List the prime factors of f.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, 2, -3\/11, 5 in decreasing order.\nAnswer: 5, 2, -3\/11, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5 - 2. Suppose -k*u - 2*u + 15 = 0. Suppose 0 = 2*f + u*f. Which is bigger: 2\/5 or f?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 256733 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -26*m - 12. Let q be u(-4). Find x such that 112*x - 40*x**2 + 11*x**3 - 4*x**3 - q*x - 5*x**4 + 18*x**3 = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 n when three letters picked without replacement from {n: 7, s: 4}.\nAnswer: 7\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 20 and 263892.\nAnswer: 1319460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 0 = 11. Suppose -55 = -s*j + 6*j. What is the greatest common factor of j and 88?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 91 - 31 = 2*q. List the prime factors of ((-108)\/q)\/(-9) - 283\/(-5).\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) be the second derivative of 25*y**4\/24 + 117*y**2\/2 - 53*y - 1. Let a(k) be the first derivative of h(k). Let q(b) = 2*b**2. What is a(q(n))?\nAnswer: 50*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -l**2 - 3*l - 100. Calculate s(-9).\nAnswer: -154","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the third derivative of 23*p**6\/40 + 12*p**3 - p**2 - 2*p. What is the first derivative of c(u) wrt u?\nAnswer: 207*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 2270*v**2 - 2267*v**2 + 6 - 4.\nAnswer: 3*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 21*p**5 + 4379864*p**4 - 1087622*p**2 + 214?\nAnswer: 1260*p**2 + 105116736*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 315724373.\nAnswer: 113, 607, 4603","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 419.769148 rounded to the nearest ten?\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -72900 to the nearest one hundred thousand.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5\/79? (a) 9 (b) -4 (c) -0.26 (d) -0.3 (e) -3 (f) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -15, -32, -49, -66, -83, -100?\nAnswer: -117","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12991*i - 52694 + 844749 + 596930 = 310732 for i.\nAnswer: -83","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 108698, 217246, 325804, 434378, 542974, 651598, 760256, 868954?\nAnswer: 977698","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1 - -2. Suppose -3*k - 1 = s - 6*s, 2*s + k - 7 = 0. Let g(j) = 1 + j**2 - 4 - 2*j**3 - 4*j**2. Let a(l) = l**3 + 2*l**2 + 2. What is p*a(v) + s*g(v)?\nAnswer: -v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 0 - 2)*(d - 2*d + 2*d) + (3 + 0 - 2*d + 3*d)*(15 - 1 - 1).\nAnswer: 14*d + 39","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.13 + -5.13. Let g = k + 2. Let d = g + 3.00003. Round d to 4 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4*-38.\nAnswer: 152","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17756.\nAnswer: 2, 23, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 46 divide 25271819?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-8)\/5*15\/(-6). Suppose 2*w - 5*k + 980 = 7*w, 774 = s*w + 2*k. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in six fifths of a gram?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 710 minutes after 11:41 AM?\nAnswer: 11:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2467 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (17 - -61) + -62 - 35?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0644897 - -295?\nAnswer: 295.0644897","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put together -1359.75 and 195.\nAnswer: -1164.75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 48085 (base 9) to base 12\nAnswer: 16735","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -348264*a**3*u**3 + 11311*a**3 - 4*a*u**3 + 10*u wrt u.\nAnswer: -2089584*a**3*u - 24*a*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -51 (b) -75 (c) 2\/7 (d) -3\/82\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -7028300 to the nearest one hundred thousand.\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11 - (-2 - (-7 + 14) - -63) - -13?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(110))\/sqrt(5))\/(sqrt(8)*4).\nAnswer: sqrt(11)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -1401721 (base 8) to base 10\nAnswer: -394193","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (36*t**2 + 42*t**2 - 4*t**2)*(32 - 88 - 2)*(-3*t + 0*t + 4*t).\nAnswer: -4292*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 862 divide 46425554?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) be the third derivative of h**6\/120 - h**5\/60 - h**4\/24 + 2*h**3\/3 + h**2. Suppose -52 = -9*m - 52. Give k(m).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1690765.\nAnswer: 5, 338153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 122998673 to the nearest integer?\nAnswer: 497","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 4728892 a multiple of 300?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 14364*w - 43080. Give j(3).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 less than or equal to -34\/6693?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -10 - -14. Suppose -z + 5*q = -79, -4*z + 5*q - d*q + 411 = 0. Suppose -3*n + 130 = 2*n - s, 0 = -4*n + 3*s + z. Does 7 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(288) - 1*(-1 + sqrt(288)) - (sqrt(198)\/sqrt(144))\/sqrt(11))**2 + (-5*(-4 + (sqrt(288)\/sqrt(9) - sqrt(18)*-1)))**2.\nAnswer: -2801*sqrt(2)\/2 + 22809\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4 - 9. Let d = -47 - -97\/2. Let g = 0.03331 - -0.96669. What is the nearest to 0.2 in o, g, d?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 72450*z**2 - 17399 wrt z.\nAnswer: 144900*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/(-6) - ((-1540)\/(-15))\/22*7\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 161934938 to the nearest integer?\nAnswer: 12725","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, 1, 2, 25 in increasing order.\nAnswer: -10, 1, 2, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -129*j + 158*j = 176436. What is the greatest common divisor of j and 39?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) be the second derivative of 7*l**4\/12 + 13*l**3\/6 + 4*l. Let a(r) = r - r**2 - 2*r + r - 2*r. Determine 39*a(x) + 6*j(x).\nAnswer: 3*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -133*n + 23 + 39*n - 23 to the form u + a*n and give a.\nAnswer: -94","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) be the third derivative of i**6\/120 - i**5\/30 + 59*i**4\/24 + 68*i**2. What is the second derivative of h(p) wrt p?\nAnswer: 6*p - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:17 PM and 10:09 PM?\nAnswer: 532","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 0 - 3305515?\nAnswer: -3305515","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 645 + 898. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(171) + 1*sqrt(171) + 5 - (sqrt(171) - (sqrt(171) + -1)*3)))**2 + (-5*2*sqrt(171) + sqrt(171))\/((sqrt(9)*2 + sqrt(9))*5) + -1.\nAnswer: 957*sqrt(19)\/5 + 10959","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that -10*v**4\/3 + 5296*v**3\/3 + 397522*v**2\/3 - 1060792*v\/3 + 219328 = 0.\nAnswer: -69, 1, 8\/5, 596","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -53*r - 140 + 0*r**3 - 5*r**3 + 66 + 73 as l*r + u + o*r**2 + t*r**3 and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -17*y + 3*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 134488 bigger than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.002056 to 4 dps.\nAnswer: 0.0021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1282 (b) -5 (c) -0.3 (d) 7 (e) 0.35\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 28329*q - 9. Let m(h) = 95*h**2 + 2. Give l(m(r)).\nAnswer: 2691255*r**2 + 56649","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -21 - 25 - 1744*n + 1749*n. What is y(7)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -39*i + 13636*i**2 + 39*i.\nAnswer: 13636*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -2*q + 3. Let h be i(-11). Suppose -3*s - 2*n - h = 0, 3*s + n - 4*n = 0. Let x(t) = 9*t**3 - 4. Let d(f) = 10*f**3 - 5. Determine s*d(w) + 6*x(w).\nAnswer: 4*w**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -6 + 4*y - 7 + 3. Does 22 divide d(8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -542 + 73. Let l = -454 - b. What is the highest common factor of l and 27?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = 3*m. Let a be m + ((-6)\/2 - 1). Let u = a + 4. Solve -9 = -3*s, u = -r + s - 3 - 3 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -2*x + 3. Suppose 13*i - 5*i - 168 = 0. Let z(w) = -w**2 + 21*w + 4. Let r be z(i). Suppose v + 0 = -3. Let l(a) = -3*a + 4. Give r*y(k) + v*l(k).\nAnswer: k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-14)\/12*-22)\/((-4)\/(-264)) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -t**2 - 7*t + 6. Let k be i(2). Is -1109*(k\/(-4))\/(-3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:35 AM and 12:45 PM?\nAnswer: 430","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*o - 8*o - o**2 - 14*o)*(32 - 20*o - 32).\nAnswer: 20*o**3 + 480*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2 - 368\/(-4))*1. Suppose 4*x = -v + 35, -7*v + 5*v - 4*x = -w. What is the tens digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) be the first derivative of -2\/15*g**3 + 2\/5*g**2 + 2 - 2\/5*g. Factor l(n).\nAnswer: -2*(n - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 54085 is divided by 54003?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4 + -6. Suppose 6 = 3*q - 3. Suppose q*s - s = 10. Sort -4, s, x in increasing order.\nAnswer: -4, x, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6 - -9. Suppose -5*l + j*x = 8*x + 5, -x + 11 = 5*l. Let h(n) = -4*n**2 + 3*n - 4 + 4*n**l - 2*n**3 - n**3. Give h(3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 159350 to the power of 1\/6, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 217 and 12255726.\nAnswer: 217","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 938 and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 128004374, 128004375, 128004376?\n\"Answer: j + 128004373","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2 or 56268?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -t - 1 + 4 + 1. Let b(u) = 4*u - 136. Let d be b(36). Determine q(d).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -4183877, 0, -3 in descending order.\nAnswer: 0, -1, -3, -4183877","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 take away 1799.6511?\nAnswer: -1804.6511","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (-11537 - -11441) + 1 + 104?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 17129 times -0.0244\nAnswer: -417.9476","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -43848, -45876, -47904, -49932, -51960?\nAnswer: -53988","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1537400 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -154 = -x - 3*i, -3*i + 2*i + 313 = 2*x. Suppose 2*s - 402 = -9*r + 4*r, -3*s - x = -2*r. List the prime factors of r.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 112 a factor of 398384?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s - 15 = -6*s + 20, 4*g + s + 3 = 2*s for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**3*m**(-2\/15)*m*(m*m*m\/m**(4\/9))**(-6\/5) assuming m is positive.\nAnswer: m**(4\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 0 - 2*l + 4)*(0*l**3 + 2*l**3 - 7*l**3).\nAnswer: 10*l**4 - 10*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) be the third derivative of 5*r**8\/2184 + r**7\/455 - 7*r**6\/780 - r**5\/130 + r**4\/78 - 6*r**2. Determine k, given that y(k) = 0.\nAnswer: -1, 0, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.05 times -56822.65?\nAnswer: 2841.1325","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 9, g: 1, q: 10}. Give prob of picking 2 q and 1 o.\nAnswer: 27\/76","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 18 = -126. Let g = 36 + -31. Suppose 6*x - x + 55 = g*j, 4*j - 5*x = 46. What is the highest common divisor of j and t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -215.8 - -214.8. Which is smaller: 1882 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -15 + 27. Let i = r - 16. What is the closest to -1 in 0.5, 1, i?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 529*a**4 + 2691*a**3 - 7175*a**2 - 639*a - 14.\nAnswer: (a - 2)*(a + 7)*(23*a + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 38566?\nAnswer: 2, 11, 1753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 947b9 (base 14) to base 15\nAnswer: 7123a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3022?\nAnswer: 2, 1511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000621606 rounded to six decimal places?\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1a1a5 + -174?\nAnswer: -1a349","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 741 - 346 - 26*y**2 - 4*y - 395 + 4*y.\nAnswer: -26*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0 * -3.4.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4.19 + 0.19. Let s = -3.8 - f. Sort s, -1\/3, -0.1 in descending order.\nAnswer: s, -0.1, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 333 - 332 + 16*s**2 - 46*s**2 - 3*s - 3*s**4 as o + i*s + l*s**2 + p*s**3 + y*s**4 and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*k + 4*f + 6 - 18, 0 = 3*k + 3*f - 15. Let o(s) = s**2 - 8*s + 3. Give o(k).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1 - 9. Let n be j*(15\/5 + -5). Calculate the greatest common divisor of 220 and n.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1.5 + 0.5. Let d = w - 2.12. Let v = 0.120051 + d. Round v to 5 decimal places.\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = o + 4. Let t be q(0). Let z be (6\/t)\/(1\/6). Let y = z + 2. What is the units digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1207 or -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4 - 3. Let l = 250 + -255. What is the third smallest value in l, p, -1\/3?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -39492, -78999, -118514, -158037, -197568, -237107?\nAnswer: -276654","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-46 + 0)\/(2 + (-11)\/5). What is the greatest common factor of j and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 331, 303, 229, 85, -153?\nAnswer: -509","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 3, -4\/5, -2, 7, 0.4?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -223103 (base 6) to base 3\nAnswer: -221211110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14235?\nAnswer: 3, 5, 13, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 54 = -4*v + 3*y, 4*y + 0*y = -v - 31*y + 58 for v.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 423?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 4*u**2 - 12*u + 8. What is y(4)?\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3367 and 481742183.\nAnswer: 481","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 27474399?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -48, -6, -85 in descending order.\nAnswer: -6, -48, -85","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = v - 4. Let t(n) = 3*n**2 - 5*n**2 + n**v + 0*n**2. Let q(w) = 4*w**2. Determine q(t(g)).\nAnswer: 4*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 2*s + 36 = 0. Suppose -41*y + 242 = -45. What is the lowest common multiple of s and y?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -1729\/482 and -5 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 313 = -2*q - 3*q, 5*d - 15 = 0. Let l = 60 + q. What is the tens digit of l + (-3)\/(((-9)\/312)\/1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11b (base 16) to base 10.\nAnswer: 283","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Do 1 and -6108\/205049 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aobm when four letters picked without replacement from {a: 1, x: 7, m: 2, b: 4, s: 1, o: 4}.\nAnswer: 1\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 584277329*h**3 + 720976615*h wrt h.\nAnswer: 3505663974*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 40.023 - 0.023. Let t = l - 40.00037. What is t rounded to four dps?\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g when two letters picked without replacement from gxggggxxggggggxx.\nAnswer: 11\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -244627*c**5 + 315*c**4 + 245*c**2 - 363*c + 433 wrt c.\nAnswer: -14677620*c**2 + 7560*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 7 = -3. Let l be (-40)\/(-10) - (7 + -1). Let n be 0*(9\/(-6) - l). Solve s - j = -n*s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.3 (b) -1\/2 (c) -4\/7 (d) -2094\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 42 divide 452340?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 70864093741?\nAnswer: 70864093741","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:53 AM and 9:16 AM?\nAnswer: 443","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 231321.\nAnswer: 3, 83, 929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3006459?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 36.66311 milliseconds in seconds?\nAnswer: 0.03666311","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 times 55\nAnswer: -5.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-466)\/(-12) - 6\/(-36). Let o be (-3)\/(-6) + y\/2. What is the tens digit of (1 - 3) + o + -1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -87 - -86. Let p = -155 + 2329\/15. Which is greater: b or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -423 + 2225033?\nAnswer: 2224210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 10 (base 5) to base 8\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 3*a**2 - 4*a - 3. Let p be y(-3). List the prime factors of 3306\/p + (-1)\/(-6).\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1 + -19)\/(-5) - -9. Let q(u) = -6*u**2 - 9*u - 12*u + b*u. Let w(y) = -y**2 - y. Let d(a) = -q(a) + 8*w(a). Let x(i) = 2*i**2. Give d(x(h)).\nAnswer: -8*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*b + w + 3*w + 16, 2*b + 3*w + 11 = 0. Put 3, 5, b in ascending order.\nAnswer: b, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -5*m + 4*m, 0 = 2*n - 5*m + 6. What is the third derivative of 2*h**6 - 2*h**6 + 4*h**6 + 5*h**2 - n*h**6 wrt h?\nAnswer: 240*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 37 and -38.\nAnswer: -1406","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 56 - 55. Calculate the lowest common multiple of p and 4980.\nAnswer: 4980","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -5 and -5774169.\nAnswer: 28870845","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 16 - 12. Let h(k) = -9*k**2 + 5*k + 4. Let m(q) = 10*q**2 - 5*q - 5. Let i(y) = g*m(y) + 5*h(y). What is the second derivative of i(x) wrt x?\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -3 + -1 - (-338)\/24 and 5\/34?\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(396) - 2*sqrt(396)*-6)\/((-1*sqrt(110))\/sqrt(10)))\/(-3*-2*sqrt(588)*5).\nAnswer: -13*sqrt(3)\/210","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 97247401 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1\/6, 13.6, -0.2, 33, -5, -587?\nAnswer: 33","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 4*f. Let z be d(1). Suppose -7*v + z = -5*v. Solve 3*t - 4*h + 15 + 3 = 0, -v*t + 5*h - 19 = 0 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 17\/78 and -86\/22640787.\nAnswer: 45281574","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 5 = 1. Let h(z) = -z + 5. Let n be h(s). What are the prime factors of (n\/1)\/((-3)\/(-36))?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -0.5, 0.3, -2\/3, -20\/13, -1\/8, 137?\nAnswer: -20\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -5*h, 3*j - 3*h = -2*h + 1508. Let v = 798 + -654. Suppose j = 5*x + v. What is the greatest common divisor of 8 and x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13467646 a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -235679, -235668, -235665, -235676, -235707, -235764, -235853?\n\"Answer: -v**3 + 2*v**2 + 12*v - 235692","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -141*c + 427. Let v be i(3). Solve s - 4*w - 13 = -18, 23 = 5*s + v*w for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) be the third derivative of 5*h**7\/21 - 11*h**4\/8 - 33*h**2. What is the second derivative of q(c) wrt c?\nAnswer: 600*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 134294.788 to the nearest 100.\nAnswer: 134300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*(-8)\/(-16) - -3.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 4, -6, 1, -11, 7267 in decreasing order.\nAnswer: 7267, 5, 4, 1, -6, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-5)\/(k*k**(-4)*k*k))\/(k\/(k*k**(-1\/4)*k))**(-1\/7) assuming k is positive.\nAnswer: k**(-115\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 0\/(-10)*(-13)\/(-52)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 2 s when three letters picked without replacement from {x: 2, n: 1, o: 1, b: 1, c: 2, s: 2}.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2702 + -24322\/9. Which is the nearest to -5? (a) 0.5 (b) h (c) -0.01 (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1991 * 0.3421\nAnswer: -681.1211","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*d = -15*d - 16, -207 = -3*o - 3*d. What is the highest common factor of 73 and o?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 422304?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -n**2 - n - 1. Let v be 4\/(2\/2 + -3). Let m be p(v). Let r be 1 + -1 - m\/15. Which is the third biggest value? (a) -1\/7 (b) 0.1 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 1084 and 440.21 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 307761 divided by 3\nAnswer: 102587","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -13145024 - 113?\nAnswer: -13145141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Add -5 and 93620875477.86.\nAnswer: 93620875472.86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -92*w + 1002 = -40*w - 302 - 152 for w.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 39, 44, 49?\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(132) + sqrt(132) + (sqrt(132)*-3 - sqrt(132))*-3 + sqrt(132))\/(-4*sqrt(12)*2).\nAnswer: -15*sqrt(11)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2385\/(-89199))\/(150\/(-110))?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -109\/1160 and -71\/232.\nAnswer: 1160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -164346, -164473, -164600, -164727?\n\"Answer: -127*q - 164219","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w + 3*w - 102*o = -3*w + 276, -2*w + 0*o = -o + 17 for w.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -60*o**3 - 36. Let j(d) = d**3 + 1. Suppose 0 = -3*m + 24*m - 36 + 57. What is m*k(u) - 36*j(u)?\nAnswer: 24*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -3165*y + 4. Let c be a(-3). Let s = 151895\/16 - c. Calculate the common denominator of s and (-3 + 145)\/(-6 + -22).\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 14398085, 14398084, 14398083, 14398082?\nAnswer: 14398081","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 9, d: 7, o: 2}. What is prob of picking 1 t, 2 o, and 1 d?\nAnswer: 7\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -36, -129, -280, -483, -732, -1021, -1344?\nAnswer: -1695","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/(h*h**(-2\/3)))\/(((h**(-2)\/h)\/h)\/h)*h*(h\/h**(-3))\/h*(h*h**(-1\/12)*h)\/h assuming h is positive.\nAnswer: h**(127\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 69a1 (base 12) to base 5.\nAnswer: 334120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2027?\nAnswer: 2027","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -y + 14. Let x be j(13). Let m(r) = -3*r + 3*r - r - x. Let n(i) = -3*i**2 + 4*i + 4. Determine -4*m(p) - n(p).\nAnswer: 3*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -9*m**2 - 329*m + 11. What is the thousands digit of p(-25)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -o**2 - 6*o + 21. Let y be u(-8). Let f be 80\/50 + 2\/y. Suppose 290 = 2*w - 4*t, 5*w = -f*t + t + 670. What is the units digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 44278 and 43754?\nAnswer: 262","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -116528*v + 1. Let z be p(-4). Suppose -4*d + 137889 + z = -2*f, 3*f + 604003 = 4*d. What is d rounded to the nearest 10000?\nAnswer: 150000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 46323630?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) be the second derivative of u**5\/20 - u**3 + 3*u. Find the second derivative of r(t) wrt t.\nAnswer: 6*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-4 + 64\/20)\/((-4)\/10). Let a be (3\/(-15) - 5\/(-25))\/(-1). Suppose -44 = -w*c - a*c. What is the smallest common multiple of c and 20?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-12)*h)**(-22)\/(((h*h\/((h*h\/h**(-2\/9)*h)\/h)*h)\/h)\/h*h*h)**(-2\/31))**(-1) assuming h is positive.\nAnswer: h**(-67532\/279)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) be the first derivative of o**4\/4 - o**3 - 31*o**2\/2 + 16*o + 709. Give n(7).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -35 - -38 - (-2 - (-3 - -12)). Let z(x) = -28*x + 391. Determine z(k).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -f**3\/3 + 219538*f**2\/3 - 12048574720*f\/3 - 24099783968.\nAnswer: -(f - 109772)**2*(f + 6)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Is 1077710159 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1224) + sqrt(1224)*-2)\/(sqrt(20)\/(2*sqrt(10)) + sqrt(2)) + (1 + 1 + 4*sqrt(85)\/sqrt(5))**2.\nAnswer: 12*sqrt(17) + 276","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 37080981803 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -23 - -30. What is the units digit of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1703.7? (a) 31\/4 (b) 3 (c) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 376020917.\nAnswer: 31, 12129707","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45 = 5*c + 3*i, 3*c + 5*i + 1 = -42 for c.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) be the third derivative of -d**5\/30 - d**4\/12 + d**3\/3 + 2*d**2. Let j be v(-2). Let o be (-26)\/338*-26 - 0. Put j, o, 0 in decreasing order.\nAnswer: o, 0, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -8 and 4.9658 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-12)\/(-3) + (-3 - -2). Suppose 0 = 3*i - 2*s + 12, i + m*s = -0 + 7. Let t(x) = 3*x + 2. Calculate t(i).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -579*l + 8155 = -2846 for l.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r + x - 13 = 0, 7*r + 91 = 14*x - 14 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -2*g**2 + 114*g + 110. Determine u(58).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -53378 + 53380. What is u in -1\/6*u + 1\/6*u**4 + 1\/6*u**3 - 7\/6*u**p + 1 = 0?\nAnswer: -3, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -p**2 - 8*p - 12. Let o be b(-5). Suppose -2*h = o*a + 21, -7*a + 3*a = 12. Is -5 > h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - 16\/14) + (90\/(-54))\/(133\/(-1368)).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*s**4 - 3*s + 0*s**4 + 6*s**4 wrt s?\nAnswer: 48*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 55167808639 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 8631.984 rounded to the nearest ten?\nAnswer: 8630","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1 - 2. Let j = q - -3. Suppose -k + 20 + 24 = 2*u, 110 = 5*u - k. What is the greatest common factor of u and j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-4)*a*a\/a**(-6\/5))\/((a\/(a\/(a*a\/a**(-1\/4))))\/((a**6\/a)\/a*a*a))*(((a*a**8)\/a)\/a**8)**(-37\/3) assuming a is positive.\nAnswer: a**(59\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(9)\/(sqrt(3)*1) + sqrt(3))*-2.\nAnswer: -4*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 88120*u**3 + 511*u - 59?\nAnswer: 528720*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -149 + 312. What are the prime factors of m?\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -8*t**4 - 19*t**3 - 21*t**2 - 2*t + 2. Let b(c) = 16*c**4 + 37*c**3 + 43*c**2 + 4*c - 4. Let o(g) = 3*b(g) + 7*v(g). Suppose o(i) = 0. Calculate i.\nAnswer: -1, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1\/70 + -19\/70. Sort -2\/15, k, 0.2, -2.3 in descending order.\nAnswer: 0.2, -2\/15, k, -2.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 200\/6 + 5\/(-15).\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 112211 - 1021?\nAnswer: 111120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 32*b + 30*b = 8, 2*y + 20 = -5*b. Sort -4, y, -211 in decreasing order.\nAnswer: y, -4, -211","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = i**3 - 10*i**2 + 21*i + 7. Let j be p(7). Solve -20 = j*s - 6 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -59595 = -5*k - 10095. Round k to the nearest one thousand.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 5 + -4 + (0 - -3). Suppose -z = k - 16. What is the greatest common divisor of z and 16?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 13*g - 6091 = -10*g, 0 = -3*g - 3. What is the hundreds digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 3651999, 3652003, 3652007, 3652011, 3652015?\n\"Answer: 4*o + 3651995","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - n = 1901, n + 255 + 130 = s. Which is bigger: 376 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3247 is divided by 52?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1748*x - 60885 = -395*x for x.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1346 divided by 11.\nAnswer: 1346\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30*f**3 - 30*f**3 - 27*f**3 + 90*f**3.\nAnswer: 3*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3163 is divided by 452.\nAnswer: 451","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w - 36 = -9*w. Let z(f) = -f + 2. Let t be z(7). Put w, -4, -2, t in descending order.\nAnswer: w, -2, -4, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3 - 8. Let g be i*3 + (-2 - -4). Let j = g - -22. What is the units digit of j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7031269 to the power of 1\/2, to the nearest integer?\nAnswer: 2652","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 503652 (base 7) to base 14\nAnswer: 23199","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -3688, -14890, -33504, -59482, -92776, -133338, -181120, -236074?\n\"Answer: 8*d**3 - 3754*d**2 + 4*d + 54","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6 - (-2 + -5 - 3)) + 41\/(-11)?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 968268 rounded to the nearest one hundred thousand?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -191 + 4?\nAnswer: -18a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 3) to base 8.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 22 - 7 = 0. Let o(t) = -t**2 - k + 4*t - 9*t - t. Let g be o(-5). Sort g, -2, 1 in ascending order.\nAnswer: -2, g, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = w - 2*w + 3. Suppose 0*s = -2*s + 6. Let r(p) = 2*p**2 + p**2 - s*p + 2*p**2 - p**w. Determine r(4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) be the second derivative of -41*t**5\/4 + 289*t**4\/12 + 150*t. Find the third derivative of u(d) wrt d.\nAnswer: -1230","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -y**3 + y - 2. Let f(d) = -3*d + 10. Let x(b) be the third derivative of b**4\/24 - b**3\/3 + 6*b**2. Let r be x(6). Let s be f(r). Calculate i(s).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = y**3 - 20*y**2 + 27. Let k(n) = -2*n**3 - 6*n**2 - n + 2. Let m(g) = -k(g) - t(g). Suppose 0 = 2*x - x + 25. Is m(x) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, j: 1, m: 1, e: 1, t: 1}. Give prob of sequence vj.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1658 to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 81\/(-1269)*140\/(-245)*4\/((-120)\/(-35))?\nAnswer: 2\/47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -4*t**3 - t**2 - 3*t - 3. Let v(q) = 5*q**2 - 2*q + 1. Let n be v(1). Suppose u = 5*u - n*b, b + 10 = -4*u. Is j(u) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -491, -1145, -1799, -2453?\nAnswer: -3107","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(-1 + 1*sqrt(432)) + 1)**2 - (-3*(5 + (sqrt(432) + 3 + sqrt(432))*-3))**2.\nAnswer: -136208 - 5472*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -36 + 29. Let l be -9875000*w\/(70\/(-24)). Round l to the nearest one million.\nAnswer: -24000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6 by -366.\nAnswer: -1\/61","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -69 - -71. Let g be (-6)\/9*6\/1. Sort 3, g, o in ascending order.\nAnswer: g, o, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 2*j**3 + j**2 + j. Let w be v(-1). Let c(o) = 2*o**3. Let r(k) = k**3. Calculate w*c(u) + 5*r(u).\nAnswer: u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that 24*h**4 - 1020*h**3 + 1494*h**2 - 741*h + 123 = 0.\nAnswer: 1\/2, 41","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-27)\/(-4) - (-1)\/4. Suppose -3*a + 1 = 7. Let h be 1*-63*(-2)\/a*-1. Calculate the highest common divisor of g and h.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iiuvnir. What is prob of picking 1 n and 1 v?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-12)\/14)\/6)\/(6\/(-7))?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12 + d**2 - 17 - 1156*d - 24.\nAnswer: d**2 - 1156*d - 29","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 69 or 322\/5?\nAnswer: 69","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 67876587?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.0448 - -0.2448. Let b(c) = -4*c**2 + 3*c - 1. Let q be b(-3). Let l = q + 46. Put -21, l, t, -1 in descending order.\nAnswer: t, l, -1, -21","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 228.\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -x**2 - 13*x + 7. Let o be r(-14). Let y = 18 + o. What is the remainder when 43 is divided by y?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) be the third derivative of v**5\/30 + 5*v**4\/24 - v**3\/2 + v**2. What is r(-4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10529 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence squu when four letters picked without replacement from ujdsmjqdjdujju?\nAnswer: 1\/4004","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = i**3 + 6*i**2 - 2*i - 6. Let o(q) = -q**2 - 5*q + 5. Let y be o(-5). Let s = -1 - y. List the prime factors of k(s).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 303 = 74*l - 807. Let v be (-60 + 0)*(-14)\/8. What is the greatest common divisor of v and l?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 - 2\/13*q**2 - 84\/13*q.\nAnswer: -2*q*(q + 42)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = r**2 + 17766*r + 230792. Let w be l(-13). Factor -16 - 1\/4*n**5 - 145\/4*n**2 - 19\/4*n**w - 44*n + 13\/4*n**4.\nAnswer: -(n - 8)**2*(n + 1)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k - 3*z = 3 - 6, -2*z = -1 + 9 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 1 + 6*d**2 - 6*d + 2*d**3 - 9*d + 14*d + 0. What is the remainder when 6 is divided by z(-3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.23 - 0.2. Let m = f - 3.03. Let d = -60 - -59.8. Which is the closest to 0.1? (a) d (b) 3 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -18.4 and -857.\nAnswer: 15768.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = n. Let g(h) = 0 + 2 + 17*h - 12*h - 3. What is -4*f(m) + g(m)?\nAnswer: m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(-2)*(-104)\/(-1 + 27)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 642 + -10246?\nAnswer: -a704","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k - 4*m + 98 = 6*k, -7*k + 60 - 125 = -3*m for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5646884.22 - 25552294.66. Let j = -19905396.73999477 - k. Let z = -13.7 + j. What is z rounded to seven dps?\nAnswer: 0.0000052","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.18 - -0.35. Let r = -0.57 + s. Let k = 0.461 + r. What is k rounded to two dps?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -m**3 - m**2 + m + 251. Is o(0) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = g + 7. Let y be w(-9). Let o = y - -4. List the prime factors of o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 220864 and 7839860.\nAnswer: 812","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -565, -579, -607, -655, -729, -835, -979, -1167?\nAnswer: -1405","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*j - 13 = -12*j + 13*j + 3*n, -4*j + n = 0 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 59 minutes after 9:21 AM?\nAnswer: 10:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(-12)\/x*x**(5\/9) assuming x is positive.\nAnswer: x**(-112\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -3*u. Let x = 1 + -13. Let h = x + 14. Let z(y) = -h*y - 3*y + y. Give p(z(c)).\nAnswer: 12*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 7682 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 79498298 to the power of 1\/8, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*-4*((-3 + sqrt(180) + -1*sqrt(180))*3)**2.\nAnswer: -648","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -x**2 - 3*x - 3. Suppose -5*l + 19 = 2*d, 2*l = 3*d + d + 22. Let o be r(d). Suppose -g = -5*g + 20. Put o, 4, g in decreasing order.\nAnswer: g, 4, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = n + 2. Let f be p(1). Let z be (7\/(-14))\/(f\/114). Let q = 650 + z. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - (23 - (-6 - -24) - (1 - -12))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 y when two letters picked without replacement from {n: 3, z: 1, y: 2, s: 3, p: 1}.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*l**3 - 4608*l**2 - 230596*l + 235200.\nAnswer: 4*(l - 1200)*(l - 1)*(l + 49)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) be the first derivative of -32*t**3\/3 + 154317. Let c(i) be the third derivative of i**4\/12 + i**2. What is c(d(f))?\nAnswer: -64*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 3 p when four letters picked without replacement from {d: 15, p: 3}.\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 461 + -38. Let d = 423.00013 - i. What is d rounded to 4 dps?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 34*i + 5. Is 35 a factor of d(5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 7507874?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 432 and 247104?\nAnswer: 247104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that -2*a**3\/7 + 18086*a**2\/7 + 326034*a\/7 + 1467882\/7 = 0.\nAnswer: -9, 9061","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -27 - -27. Suppose -x + 37 = -4*b, 5*x - 35 = 5*b - 0. Let d be (-2 - -1)*(-5)\/(b\/(-8)). Solve -2*p + w = d for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1488662.\nAnswer: 2, 7, 113, 941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 2131 a factor of 47965324?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 28276*n + 3395.\nAnswer: 28276","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 51*r**2 - 20*r + 5. Determine m(6).\nAnswer: 1721","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 38*q**4 + q + 1469 + 98 + 419*q**4 wrt q?\nAnswer: 1828*q**3 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -39311776 divided by -4?\nAnswer: 9827944","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 2*n**2 - 2*n + 1. Let u(x) = 13*x**2 + 6*x - 3. Let c(w) = u(w) + 3*v(w). Let o(y) = y**2. Determine o(c(d)).\nAnswer: 361*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(64)*-4*3)\/(6*sqrt(242)*-3).\nAnswer: 8*sqrt(2)\/33","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by -17?\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*w**2 - 7*w**2 - w**2)*(-1 + 2 - 5)*(-1 + w + 1)*(1 + 0 - 2).\nAnswer: -32*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by -125?\nAnswer: 4\/125","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -1002 and 16360276492?\nAnswer: 16360277494","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 11266181 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -4*c**3 - 1022*c**2 + 1551*c + 2360. Give q(-257).\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11 = -27*q + 24 + 154 for q.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence or when two letters picked without replacement from jojjjoojrrorjor?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1399*s**3 + 11*s**2 - 788947*s?\nAnswer: -8394*s + 22","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 128 minutes before 12:55 PM?\nAnswer: 10:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + sqrt(288))*1)**2.\nAnswer: -48*sqrt(2) + 292","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -424307 less than -424306?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -m**3 + 4*m**2 + 13*m - 4. Let l be f(6). Let t be (l + 0)\/(3 + -1). Calculate the highest common factor of t and 8.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -16*(3\/1 - 2). Let w = -4 + -33. Let q = 23 + w. Which is bigger: q or o?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-5076)\/(-85680) - (-58)\/(-1624)\nAnswer: 2\/85","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -397873 and 0.5.\nAnswer: -198936.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 30 - 5 = 0. Suppose 2*y - 17 = -p*h, 2*y = -3*h + 6*y + 31. Differentiate 12*c + h - 26*c + 5 with respect to c.\nAnswer: -14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 205*a - 198*a - 952 = 0. What is the units digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 17373*q**2 + 53716 wrt q?\nAnswer: 34746*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -1211073*p**2 + 1. Let l(u) = -56*u**2. Determine i(l(o)).\nAnswer: -3797924928*o**4 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 311504354 to the nearest integer?\nAnswer: 17649","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3\/4 in -2, 3, -4, -0.01?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 times -7.57\nAnswer: -0.757","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2065773*c + 2065758*c - 4131537*c.\nAnswer: -6*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (25\/(-3))\/((-10)\/(-30)). Is 107*10\/x*-5 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/42*2 - (-114)\/105\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 103\/2292356 and -65\/36?\nAnswer: 20631204","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 36 + -21 + -11 + -2 + -10?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4885274*z**2 - 7559085 wrt z.\nAnswer: 9770548*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -137*h**2 + 30*h - 8. Let c(z) = -289*z**2 + 62*z - 17. Calculate 6*c(x) - 13*y(x).\nAnswer: 47*x**2 - 18*x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 minus 735971394171.2?\nAnswer: -735971394170.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6 - 0)*(-24)\/36.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 52 + -52.6. Are 9 and l non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -777237 (base 9) to base 13.\nAnswer: -1335c1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = -5*f + j - 1, -4*f = j + 1. Suppose -3*i + f = -21. Let y(d) = -i*d - 10*d**2 + 7*d. Let g(a) = 2*a. Give g(y(o)).\nAnswer: -20*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -624 = -14*x - 2*x. Let m(h) = h**2 - h - 2. What is the remainder when x is divided by m(4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -h**2 - 25*h + 30. Let u be f(-26). Suppose -r + 10 - 1 = 3*p, r = u*p - 12. Sort -2, r, -1.\nAnswer: -2, -1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -w**2. Let s(t) be the second derivative of -t**6\/180 - t**3\/2 + 2*t. Let v(j) be the second derivative of s(j). Give r(v(a)).\nAnswer: -4*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -51, 2, 1 in increasing order.\nAnswer: -51, -1, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -20149 - -20640.76. What is n rounded to the nearest 100?\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19717674607 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 161217 and 7203?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5616 - -129165\/23. Is q greater than -0.22?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3 (b) -3.1 (c) 5 (d) 2\/15\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*j**2 + 2*j**2 - 5*j**2 in the form c*j + f*j**2 + g and give f.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*n**2 + 714210*n - 714205 = 0. What is n?\nAnswer: 1, 142841","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*y - 39 + 15. Suppose y*d - 3*d = 165. List the prime factors of ((-88)\/d)\/(1\/(-5)).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8)\/26 + ((-65660)\/728 - 5) - 45\/(-10).\nAnswer: -91","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3\/13217 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = -t - 261. What is the remainder when t is divided by 47?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -372*v + 4458. Calculate z(12).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 4 (b) -23 (c) 0 (d) 3 (e) -684\/25 (f) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -493666, -493678, -493690, -493702?\nAnswer: -493714","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -5 - (-1 - (-3 + 4))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1237567572.\nAnswer: 2, 3, 157, 24329","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 93991792 a multiple of 1321?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 8169.061cm?\nAnswer: 81690.61","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -5804.443 rounded to the nearest 10000?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1\/225142 + 225147\/1125710. Suppose 2*n - 2*c + 26 = 6*n, 4*n + c = 21. Let d = 33.942 + 0.058. What is the second smallest value in d, q, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vm when two letters picked without replacement from qkqkmvkqgkkr?\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 169651 or 169653?\nAnswer: 169653","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 65 - 63. Let a = g - 0. What is the remainder when 9 is divided by a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 46459 - 2090287\/45. Let b be 2 - 8*13\/10. Let o = b + c. Is 1 < o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 18381 + -18384. Let s = 0.03 + -0.06. Which is the second biggest value? (a) s (b) -6 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 14*l + 9. Let r(k) = 5*k + 3. Let q(u) = -2*i(u) + 7*r(u). Let a(z) = 30*z**3 + 2*z**2 - z. Calculate the remainder when a(1) is divided by q(2).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 24 + 8 = -y, 12 = 3*y. Suppose 0 = 3*x - 6*x + h. Solve 3*g = 6, x*g + g - 18 = -4*s for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (20 - (-16 + 14)) + (-2 + 6 - (4 - 2))?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2170?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) be the first derivative of 2*c**3\/3 - 2*c**2 + 188*c + 204. What is the derivative of m(v) wrt v?\nAnswer: 4*v - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41480 = 53*p - 43*p. Let q = p + 9668. Round q to the nearest 1000.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -12 + 7. Let r = -5.3 - f. Let h = 0.33 - 0.03. What is the nearest to r in 5, h, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -437032*o**4 + 81215*o - 1 wrt o.\nAnswer: -5244384*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + o = 9. Let f(y) = -5*y**2 + 5*y + 2. Let c(x) = -4*x**2 + 4*x + 1. Suppose -2*u - 3*b = -5, 4*b - 4 - 8 = 0. Determine o*c(j) + u*f(j).\nAnswer: -2*j**2 + 2*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 5*n**2 - 20*n + 22. Let h(k) = -14*k**2 + 59*k - 66. Let d(f) = 6*h(f) + 17*o(f). Does 10 divide d(-16)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fifibbbjjfbjfibjb. Give prob of sequence jfb.\nAnswer: 2\/85","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -100000 (base 2) to base 8\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 814935 is divided by 5469.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.263312 * 0.1.\nAnswer: 0.1263312","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*v**2 + 0*v**2 - 3*v**2)*(-6*v + v + 3*v) + (-4 + 3*v + 4)*(2715 - 87*v**2 - 2715).\nAnswer: -259*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -1a9a (base 16) in base 8?\nAnswer: -15232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-9054)\/(-188122))\/((-6)\/(-22)).\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.1176522359 to 4 dps.\nAnswer: -0.1177","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = u**3 + 35*u**2 - 35*u + 32. Let h be v(-36). Put -90, 0, h, 1 in decreasing order.\nAnswer: 1, 0, h, -90","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 21343130 (base 5) to base 6\nAnswer: 3540341","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 2 + 0*t**2 + 0 + 2*t + 1 - t**2. What is f(4)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 60*x**2 + x. Let o(s) = -156*s**2. Let f(r) = 23*r**2. Let b(w) = -27*f(w) - 4*o(w). What is q(b(y))?\nAnswer: 540*y**4 + 3*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -o**2 + 47*o + 29. Determine j(48).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 8 + -6. Suppose 0*a = -m*a + 4. What is the derivative of 2 - 4 - 2*n**a + n**2 wrt n?\nAnswer: -2*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 1380, 2758, 4132, 5502, 6868, 8230, 9588?\n\"Answer: -2*h**2 + 1384*h - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-8)\/(-324))\/(9*22\/(-594))\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21a45aa (base 13) to base 15.\nAnswer: d8cce9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -2*y. Let k(z) = 772*z**2. Give j(k(u)).\nAnswer: -1544*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 45*y**3 + 11*y - 6. Let r(d) = 9*d**3 + 2*d - 1. Let x(b) = b**3 - 7*b**2 - 7*b - 6. Let l be x(8). Determine l*c(s) - 11*r(s).\nAnswer: -9*s**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide (-3)\/(-6) + (-86)\/(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11*160\/(-20)*2\/(-8).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Work out -10 * 2.803.\nAnswer: -28.03","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.71 take away -2224.38296355?\nAnswer: 2225.09296355","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) be the third derivative of r**7\/490 + r**6\/70 + 3*r**5\/140 - r**4\/14 - 2*r**3\/7 + 511*r**2. Find a, given that q(a) = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -146.9 * -52\nAnswer: 7638.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:52 PM and 5:04 PM?\nAnswer: 252","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -897106, -1794302, -2691504, -3588718, -4485950?\nAnswer: -5383206","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 59557 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*p + 4*g - 20 = -p, 4*g - 20 = 3*p. Suppose 3*z = -5*n + 3*n + 3, p = n + 5*z + 16. Solve 0 = -j + n - 13 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 236912 a multiple of 536?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -2\/9 (b) -0.01 (c) 0 (d) -0.5594 (e) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 309 - 4019\/13. What is the second biggest value in x, -2\/11, 1\/3?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) be the first derivative of 11*x + 1\/2*x**2 + 30. What is g(0)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 479700955?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0, -4, -0.1, 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/2? (a) 126 (b) 5 (c) -9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 9836900 a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*s + 39 + 171. Suppose -5*j - w + 36 + 139 = 0, 107 = 3*j + w. What is the third derivative of j*x**2 - x**3 - x**3 - s*x**2 wrt x?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is nine tenths of a litre in millilitres?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 407452498 a multiple of 664?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 91 a factor of 1481207?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 135 + -128. Suppose 825 + 1058 = d*w. What is the units digit of w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -101\/75854 and -49\/41516?\nAnswer: 16232756","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -i + 9. Let b be r(7). Let f(t) be the first derivative of 2 + 1\/4*t**4 + 0*t**3 + 0*t**b + 2*t. Differentiate f(q) with respect to q.\nAnswer: 3*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*r + r + 80. Let q be -236 + (2 + -1)*-1. Let a = 381 + q. Calculate the highest common factor of r and a.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -16 + 18 + -11 + 18 + (-3 - -59)?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -94 = 93*a - 1768 for a.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -m**2 + 48*m - 204. Let z be q(40). Calculate the greatest common divisor of 8 and z.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**12)**(-14\/13) assuming z is positive.\nAnswer: z**(-168\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5 + -10. Sort 5, -2, -1, g in ascending order.\nAnswer: g, -2, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -824 by 789.\nAnswer: -824\/789","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-74)\/2775 - (-10)\/375. Solve 22*a - 33*a + 66 = c for a.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000002121 to seven dps.\nAnswer: 0.0000021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 8*t + 194. Suppose 0 = 25*m - 14*m + 231. What is the remainder when 337 is divided by r(m)?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-112)\/140)\/(1 - (-46)\/(-50))*-1?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -v**2 + 3*v + 18. Let z be q(6). Suppose z = 2*h + h - 6. Suppose -5*d = -3*d + 5*x - 596, -3*d - h*x = -883. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = -0*p. Let o = 109.9 + -115. Let x = 5 + o. What is the nearest to x in 2, 0.3, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 466 is divided by 109?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -2855934, -2855932, -2855930, -2855928, -2855926, -2855924?\n\"Answer: 2*u - 2855936","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 30155 is divided by 1555.\nAnswer: 610","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -15*v + 31 - 91. List the prime factors of (27\/v)\/(3\/(-56)).\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 647 minutes after 7:42 AM?\nAnswer: 6:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(27) + sqrt(75) + -1*sqrt(75) + -5*(sqrt(3) + -1) + sqrt(75)*-1 + sqrt(75))**2*5.\nAnswer: -120*sqrt(3) + 240","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*z = -3*f + 4*z, 0 = -3*z - 12. Find the third derivative of 4*u**2 + 2 + 2 - f + 4*u**6 wrt u.\nAnswer: 480*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2.47 + 2.53. Let a = 3 - 5. Sort y, a, -0.2 in decreasing order.\nAnswer: y, -0.2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 6192611?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-14*(-12)\/4*((-60)\/(-126))\/5)\/(-138)?\nAnswer: -2\/69","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 8067851 to the nearest 100000.\nAnswer: 8100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -h**3 + h + 2. Let p(k) = -760*k**3 + 475*k + 950. Determine 475*j(f) - p(f).\nAnswer: 285*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, m: 3, x: 1, d: 3, h: 2}. Give prob of picking 1 h and 1 x.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) be the third derivative of -5*z**2 + 1\/14*z**8 + 0*z**6 + 7\/60*z**5 + 0*z**3 + 0*z**4 + 0*z**7 + 0*z + 0. Find the third derivative of g(i) wrt i.\nAnswer: 1440*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 85 + -35. Let d(q) = -q**2 - q + 1. Let t be d(0). Suppose v = 3*k - t. Does 6 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 10 - 19. Let n = t + 15. Let w(a) = -5*a - n + 21*a - 14*a. What is w(5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16249 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17198688 is divided by 86862.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 422824 a multiple of 136?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -281.3 + 281. Sort -5, f, -0.08 in descending order.\nAnswer: -0.08, f, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 42?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = -4*h + 12, 0 = -3*h + 2*w - 5*w + 15. What is the smallest value in h, 0, 0.011, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 104, 107, 100, 77, 32, -41, -148?\nAnswer: -295","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 9176832 divided by 1344?\nAnswer: 6828","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - 0) + -4 + 3 + 1?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 16540 and 100.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**18)**(19\/3) assuming o is positive.\nAnswer: o**114","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) be the second derivative of -c**3\/6 + 23*c**2\/2 + 10*c - 9. Determine t(0).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 65649, 65181, 64407, 63333, 61965, 60309, 58371, 56157?\nAnswer: 53673","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 5 + 1 + (0 + 1 + 0)*(1 - 4 + 1))*(3*u**2 - 3*u**2 + 2*u**4).\nAnswer: 12*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4368 - -8193. Does 19 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 4*t**3 + 49*t**2 + 114*t + 89. Let n(s) = -3*s - 353 + 143 - 2*s**3 + 166 - 55*s - 24*s**2. Let w(d) = -2*a(d) - 5*n(d). Factor w(r).\nAnswer: 2*(r + 1)*(r + 3)*(r + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(1\/36)*(t\/t**(-13\/3))\/t assuming t is positive.\nAnswer: t**(157\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00022865798 rounded to six decimal places?\nAnswer: 0.000229","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -g**3 + 6*g**2 + 37*g + 31. Let d be (-9)\/((-54)\/(-30))*(0 + -2). Calculate q(d).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -44510 divided by 2\nAnswer: -22255","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d and 2 o when four letters picked without replacement from {o: 4, d: 2}.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 2*q + 60 = 0. Suppose q + 3 = 5*y. Put -5, y, -1 in descending order.\nAnswer: y, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/8, 0, 9\/257 in descending order.\nAnswer: 9\/257, 0, -1\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -38 + 37. What is the nearest to n in 2\/9, 3, -0.04?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -51.067 - -51. Let o = x - 43.933. Let m = o - -43.99999984. What is m rounded to seven decimal places?\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 2*z**3 - 7*z**2 + 4*z + 3. Let d be h(3). Let m(f) = f**2 - 5*f - 3. What is m(d)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 80706778?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*h - 3*h + 2*n = 14, -5*n + 9 = -3*h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 153, 621, 1409, 2517, 3945, 5693?\n\"Answer: 160*c**2 - 12*c + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8762, 2, -2, 4, 1, 0.\nAnswer: -8762, -2, 0, 1, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -8.1 - -13.1. Let z = 47 - 377\/8. Which is the smallest value? (a) q (b) -1 (c) 1 (d) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -180a - 352?\nAnswer: -1b60","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = -3*h - 1920, -10*f + 14*f = -h + 1536. Calculate the greatest common divisor of f and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-3\/4)\/(i*i**(-6)*i*i))\/(i**(-1)*i\/i**2) assuming i is positive.\nAnswer: i**(17\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/1)\/(-19*53\/(22154\/(-1276)))?\nAnswer: -1\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 33.77976 months to decades.\nAnswer: 0.281498","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-4 + sqrt(10)\/sqrt(2))**2.\nAnswer: -48*sqrt(5) + 126","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 r and 1 z when four letters picked without replacement from rzrrvrrvrrzzzz?\nAnswer: 25\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 40*p**2 + 1537 - 1537 - 29*p**2.\nAnswer: 11*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16\/10*25\/(-10)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 20\/6 + (-6)\/(-9). Let k be a - 2 - 3 - -7. Suppose 0*r + r = 66. What is the greatest common divisor of k and r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in thirteen twelths of a century?\nAnswer: 1300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1304522837.\nAnswer: 5749, 226913","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide -605982 by 46614.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -51, 18, 4 in descending order.\nAnswer: 18, 4, -51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) be the third derivative of n**5\/10 + 13*n**4\/12 - 8*n**3\/3 + 7*n**2 + 5. Let m(q) = q**2 + 5*q - 3. Determine 16*m(u) - 3*z(u).\nAnswer: -2*u**2 + 2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 11*w. Let t(k) = -4*k**2 - 5. Let z(m) = -m**2 - 4. Let d(p) = -t(p) + 5*z(p). What is d(y(s))?\nAnswer: -121*s**2 - 15","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 509302 (base 12) to base 9\nAnswer: 2330532","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -4402 rounded to the nearest 100?\nAnswer: -4400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 18696186?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 39688642?\nAnswer: 2, 7, 17, 37, 4507","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 20498270 divided by 788395?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*n**3 - 2*n**3 + n**4 + 7*n**2 - n**2 - 2*n as s*n + p*n**4 + k*n**3 + o*n**2 + w and give o.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) be the second derivative of -r**6\/900 - 3*r**5\/100 - 2*r**4\/15 + 25*r**3\/6 + 91*r + 3. Let t(s) be the second derivative of k(s). Factor t(h).\nAnswer: -2*(h + 1)*(h + 8)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 187 - 105. Let f(d) = -d**3 + 2*d**2 - d + 980. Let t be f(0). Let i be (-1)\/(-2 - t\/(-492)). What is the greatest common factor of y and i?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*sqrt(85)\/sqrt(45).\nAnswer: -sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1010104013 - 4?\nAnswer: 1010104004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 3 = 1. Let t = -13 + 27\/2. Let y = -262 + 1831\/7. Which is the nearest to t? (a) 2\/7 (b) h (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2366?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6138 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -2209*z**2 - 1 - 2206*z**2 - 2214*z**2 + 6628*z**2. Let l(m) = 2*m**3 - m**2 - 4. What is -l(h) + 4*p(h)?\nAnswer: -2*h**3 - 3*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 138 and 388539?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1903, -1995, -2135, -2323, -2559?\nAnswer: -2843","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) be the third derivative of u**4\/24 + 5*u**3\/2 - 7*u**2. What is the remainder when g(20) is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) be the third derivative of n**5\/6 + 15*n**4\/8 - 1156*n**2. Let v(d) = 23*d + 1. Let u be v(-2). Let m(g) = g**2 + 4*g. What is u*m(i) + 4*c(i)?\nAnswer: -5*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5447 - 5447 + 67*m**3)*(32*m**2 - 7*m**2 + 18*m**2).\nAnswer: 2881*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*i**3 - 4 + 4)*(-4 + 3 + 0) + i**3 - 2*i**3 + 3*i**3 + (1 + 3*i - 1)*(-1 + 3*i**2 + 1) in the form d*i + k*i**2 + a*i**3 + y and give a.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*b = 72*b + 328 for b.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -i**2 - 46*i + 1. What is the units digit of h(-24)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19845.\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1, 8.7, -0.04?\nAnswer: 8.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2240 and 3940?\nAnswer: 441280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (16\/14)\/(670\/(-469))\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -15*x - 1 + 32*x - 20*x. Let y(n) = -2*n + 3. Let q be y(5). What is the tens digit of i(q)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 34886 is divided by 5798.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 197149 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 22 + -34 - 1 - (12 - 1)\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4 - 4 + 5*r**4 + (-r**4 - 5*r**2 + 5*r**2)*(-4 + 1 + 0) to the form g*r**2 + k*r + w + f*r**3 + m*r**4 and give m.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l*l**(5\/6))\/l)\/((l*l*l**(3\/4)*l)\/l)*(l*l\/(l*l*(l*l**20)\/l)*l*l)**(5\/18))**(-27) assuming l is positive.\nAnswer: l**(747\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -392862536, -392862537, -392862538, -392862539, -392862540, -392862541?\n\"Answer: -s - 392862535","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b\/b**1*b)**18\/(b*b**0*b*b**(1\/5)))**(1\/5) assuming b is positive.\nAnswer: b**(169\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -24890, -24892, -24894?\nAnswer: -24896","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 0.5 (b) 9\/52 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 14, -21, -156, -451, -966, -1761, -2896, -4431?\n\"Answer: -10*t**3 + 10*t**2 + 5*t + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 34.92 + -35. Let i = z + 12.08. Sort 4, -5, i in ascending order.\nAnswer: -5, 4, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 70 - (-6 + (-4 - -7)).\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (4 - -2) + 1 + -16 + -5?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 42 + -38. What is the third smallest value in -35, -2\/7, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 289619 is divided by 96444.\nAnswer: 287","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 595 + 35 = 7*z. Let f = -94 + z. Sort -2, 38, f, 2 in decreasing order.\nAnswer: 38, 2, -2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 10 + -5. Suppose 3 = r*m - 2. Let h = 2 - m. Which is the nearest to 0? (a) -2 (b) -0.2 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:03 AM and 10:40 AM?\nAnswer: 97","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 95586149 to the nearest integer?\nAnswer: 457","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = 5*l - 17, u = -5*l - 0*u + 19. Suppose 328 = 4*x + 3*v, -20 = l*x + 4*v - 344. Is x a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 300 and 18097500?\nAnswer: 18097500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 11*z + 2. Let i(d) = 2*d - 35. What is i(t(g))?\nAnswer: 22*g - 31","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2575)\/(-1236)*(-21)\/70?\nAnswer: -5\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = t**2 + t + 2. Let u be s(-1). Let p be u\/(-13) - (-6)\/39. Let q(f) = f - 7. Determine q(p).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/f**(-2\/5)*f**(-2\/5)*f)\/(f*(f*(f**(-2\/7)\/f)\/f*f)\/f)**(13\/4) assuming f is positive.\nAnswer: f**(41\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 11*v. Let u(k) = -k + 4. Let s be u(2). Is 14 a factor of o(s)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-130)\/15 + 9 + -1?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 288 = -0*p. Let d be (-4784)\/p - 1\/(-6). Let h be d\/(-18) + (-54)\/(-18). What is the fourth smallest value in -0.2, 0.5, -0.3, h?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*o - 5*o - 6*o + 5 + o.\nAnswer: -6*o + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -m**3 - 4*m**2 - 5*m - 4. Let w be a(-3). Let i(z) = 7*z**w + 8*z - 8*z. Is 7 a factor of i(1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 122 (base 6) in base 15?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5*h**3 - 3*h**3 + 3*h**3)*(-5*h - h - h) - 3*h**4 + 5*h**4 - 17*h**4 to q*h**2 + d*h + v + p*h**3 + w*h**4 and give w.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = 4*g + 35. What is the second biggest value in g, 0, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1623058 to the nearest integer?\nAnswer: 1274","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*t - 9*t**5 + t**5 - 2*t**5 wrt t.\nAnswer: -200*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 45000 and 1080.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (10*u**2 - 11*u**2 - 17*u**2)*(-1 - 2 - 2) - 4*u + 4*u - 6*u**2 to the form z*u + t*u**2 + y and give t.\nAnswer: 84","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 580 = 7*z - 2*z. What is the tens digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = -3*a + 26, -4*a + 262*x = 261*x - 50. Calculate the remainder when 647 is divided by a.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12029560 a multiple of 191?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 248.\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-6)\/(-4)*(-3 + (-44)\/(-12)). Sort m, 6, -1, -2.\nAnswer: -2, -1, m, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -183037, -366064, -549083, -732088, -915073, -1098032?\n\"Answer: g**3 - 2*g**2 - 183028*g - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2223 is divided by 960.\nAnswer: 303","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 0 - 3635121?\nAnswer: -3635121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5 in 0, -22, 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 438*d + 1097*d + 192*d + 4406 = -476*d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -5*v**3 + 2*v**2 + 11*v + 11. Let x(k) = 2*k**3 - k**2 - 4*k - 4. Let i = -116 - -105. Determine i*x(j) - 4*w(j).\nAnswer: -2*j**3 + 3*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 7352 and 1838.\nAnswer: 7352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -260 + 263. Solve -13 = -m*p - 4 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 541, 4406, 14903, 35350, 69065, 119366, 189571, 282998?\nAnswer: 402965","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*b + 6*b + 13 = g, 5*g - 25 = -5*b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 12 and 1125316?\nAnswer: 3375948","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 g when three letters picked without replacement from xgggggx.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = s. Suppose -3*h = -3 - 6. Let v(z) = h*z**2 + 0*z**2 - 2*z**2. Determine v(a(c)).\nAnswer: c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 r when two letters picked without replacement from lrorlrrrllr.\nAnswer: 24\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 9573*c + 23*c**2 + 2*c**4 - 3*c**2 + c**3 - 4*c**3 - 9575*c as v*c**2 + p*c**3 + h*c**4 + f*c + d and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-78 + 45*m**3 + 78 + (-2*m - 2*m + 3*m)*(m**2 - m**2 - 4*m**2))*(-m - m + m) to the form x*m**2 + p*m**3 + u*m + a*m**4 + b and give a.\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 33*d**3 - 4*d**2 - 2*d + 5. Calculate q(-2).\nAnswer: -271","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 0.5, 6560 in ascending order.\nAnswer: -5, 0.5, 6560","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 647?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 145 divide 35475?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -4423, -4432, -4443, -4456, -4471, -4488, -4507?\n\"Answer: -v**2 - 6*v - 4416","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2324.\nAnswer: 2, 7, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -337*w - 331*w - 9327*w**2 - 329*w + 995*w in the form b + k*w**2 + x*w and give k.\nAnswer: -9327","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nh when two letters picked without replacement from {g: 1, m: 1, n: 1, h: 1, y: 1}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 472*u - 3261 + 3261 in the form h*u + t and give h.\nAnswer: 472","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -52*p - 2. Let j be (4 - 50\/6)\/(6\/(-54)). Let i(r) = 34*r + 4*r - j*r. What is i(c(g))?\nAnswer: 52*g + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -25*y - 29. Suppose 0 = -5*m - 2*m + 28. Let i(f) = -24*f - 29. Let r(o) = m*i(o) - 5*q(o). Find the first derivative of r(x) wrt x.\nAnswer: 29","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(119)\/(sqrt(21)\/sqrt(12)) + (sqrt(17) - (-1 + (sqrt(17) + 1)**2 + sqrt(17))) + -4.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -36 - -36.56. Let m = 3051.64 + -3052. Let t = m + f. What is the nearest to -1 in -4, -8, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 410*v - 1755 = 59*v. Solve 21*u + 58 = -v for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*u + 54 - 19. Solve u = k + 2 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 73.11929 nanograms?\nAnswer: 0.00000000007311929","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -203565 (base 10) to base 2.\nAnswer: -110001101100101101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 611 minutes before 2:33 AM?\nAnswer: 4:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -6674 and -0.2.\nAnswer: 1334.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3513312.9489 - 3.\nAnswer: -3513315.9489","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l + 15 = s, -5*s - 16*l + 19*l + 9 = 0 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) be the third derivative of -h**5\/330 - h**4\/33 + 4*h**3\/11 - 272*h**2. Factor l(x).\nAnswer: -2*(x - 2)*(x + 6)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 4*x - 8. Let a be m(2). Solve -t - 1 - 1 = a for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = h**3 - 53*h**2 - 7*h - 2519. Let s be a(54). Solve 0 = -3*d - 4*r + s, 2*d - 47*r + 42*r = -18 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -9*l**5 + 30*l**4 + 4944*l**2.\nAnswer: -540*l**2 + 720*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -113\/78 and 79\/1092.\nAnswer: 1092","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 694946054?\nAnswer: 2, 11, 101, 312757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 277 minutes after 8:20 AM?\nAnswer: 12:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -92*w + 14247273 = -21271075. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 8, 1\/16, -0.062?\nAnswer: -0.062","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 5*t**2 - t. Suppose -1 + 4 = 3*g. Let m be h(g). Suppose 0 = -m*l + 21 + 7. Is l a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 (base 12) in base 2?\nAnswer: -1001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4.5 - 4.4. Which is the nearest to d? (a) -3 (b) -2 (c) 1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10990836 a multiple of 36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 12873*o + 1158570. Give g(-90).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 18010 rounded to the nearest 10000?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -146 divided by -2.\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (174\/(-290))\/(1 - 4). Let c = -36 - -36.34. Is c != r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -m**3 + 2*m**2 + m - 2. Suppose 6*v + 1260 = 48. Calculate the remainder when u(-3) is divided by -6*(v\/60 + (-8)\/60).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 1\/24 of a day?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (348\/(-10))\/(1072\/1005*(-3)\/(-8))?\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 20.255 + -0.255. Let z = 4815.01 + -4795. Let c = z - h. Round c to 2 decimal places.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 404\/(-202)*((-4)\/28)\/(-1)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 2*k = 384. Let d = -90 - k. Differentiate 25 + 25*l - 47*l - 8 + d with respect to l.\nAnswer: -22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (60\/7920*22)\/((-1)\/4)*7?\nAnswer: -14\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -476 = -4*o + 1271 - 519. Calculate the remainder when o is divided by 104.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 + -23 + 22 - (-7 + 1)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 10855 and 1308445?\nAnswer: 835","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r and 1 s when three letters picked without replacement from {s: 4, r: 3}.\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/191961 greater than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(-5*(sqrt(1900) + 1)*-3*-5)**2.\nAnswer: 112500*sqrt(19) + 10693125","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 17\/2 of a meter?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 140 is divided by 9.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-12)\/6 - (2 - 1). What is the tens digit of (-1)\/y*(-456)\/(-8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -66609*x + 43346*x - 103352*x.\nAnswer: -126615*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from csssssc. Give prob of picking 1 c and 1 s.\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -3*k**3 - 352*k**2 + 585*k - 1056. Give x(-119).\nAnswer: 134","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at most 2\/94014559?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2 - 1.3. What is the second biggest value in m, 0.5, 1\/8?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1504077834?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 8 and 33608?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 74756?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -17, -57, -119, -203?\nAnswer: -309","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (59 + 15 + 7)*(15*c + 2*c + 4*c) in the form q*c + v and give q.\nAnswer: 1701","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 899 - 898. Is f greater than 10\/197?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1333986 and 1168074.\nAnswer: 1338","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 17 - 10. Suppose -3*r + 5 + 0 = 2*v, -4*v = -5*r + 1. Calculate the highest common factor of z and r.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 - 4 - 28*m - 3 + 39*m as v + g*m and give v.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -599, 0, -4, -8 in descending order.\nAnswer: 0, -4, -8, -599","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2\/3 (b) -1\/9 (c) -355 (d) -1891 (e) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -81, -106, -147, -204, -277, -366, -471?\nAnswer: -592","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3 - -8. Suppose 2 = -4*h + s*h. Solve 5*x + 3*z = -h*z, -4*x - z + 3 = 0 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 3*i = -2*d + 228, 5*d + i + 1168 = 0. Let j = -233 - d. Solve -j = -x - 5 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0*m - 2*m + 4*m)*(5*m + 6*m + 0*m)*(m**2 + 2*m - 2*m) + (-2*m + 2*m - m**3)*(-m + 4*m - 2*m))*(-3 + 6 - 4).\nAnswer: -21*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 6*m**3 + 2*m**2 - 6*m + 3. Let g be w(1). What is the closest to -1 in 0.5, -3, g?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 124313332 (base 5) to base 8.\nAnswer: 2272502","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*t - 332 - 2733. Are t and -613 unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 60306175673 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 21 = -3*k - 2*k, 5*m + 3*k = 19. Let f be (-6 + -3)\/((-3)\/m). Factor -f*j**4 + 5*j**4 - 5*j**3 + 2 - j**4 + 9*j**2 - 7*j + 3*j**4.\nAnswer: (j - 2)*(j - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -24, -69, 5, -5, -1 in ascending order.\nAnswer: -69, -24, -5, -3, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -347 - -337. Which is smaller: 2\/37 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-1*sqrt(275)*5 + (sqrt(275) - ((1 + sqrt(275) - sqrt(275)) + 4)) - (-4 + 0 + sqrt(275) - sqrt(275) - (-4 + sqrt(275) + -1)))**2.\nAnswer: -15066 - 1080*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 147 is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) be the third derivative of 7\/12*h**4 + 0*h**3 + 0 + h**2 + 0*h. List the prime factors of g(15).\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 28c9d - 2?\nAnswer: 28c9b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -5252 + 41?\nAnswer: -5211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide -76301 by -32.\nAnswer: 76301\/32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -21, -0.03, -0.05?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 419515103.\nAnswer: 7, 17, 181, 19477","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 617 minutes after 7:08 PM?\nAnswer: 5:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 1096, 1208, 1314, 1414?\n\"Answer: -3*l**2 + 121*l + 978","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3*(-2 + 5) - (-2)\/(-1). What is the units digit of 7 + 26 + y - 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -923420661*k**3*n**2 - 4*k**2*n + 3*k*n**2 - k*n - 31037*n**2 + 2 wrt k?\nAnswer: -5540523966*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 4332 (base 8) in base 12?\nAnswer: 138a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000916831 rounded to 4 dps?\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide -45 by -368450.\nAnswer: 9\/73690","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -210 (base 9) to base 16.\nAnswer: -ab","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) be the first derivative of -v**3\/3 + 4*v**2 + 5*v + 3. What is the units digit of x(8)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -y**3 - 12*y**2 + y + 15. Suppose 0 = -i - 13 + 1. Let o be k(i). Let q be 2 + 5 - (0 + -1). Solve j + o*j = -q for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = f**2 + 11*f + 13. Let a be h(-10). Let l(j) = -4 - 3*j**2 + 3*j**3 + 0*j**3 - 2*j**3 - 2*j**a. Does 3 divide l(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 8 = 2*i, 4 = 2*i - 4. Suppose 0*u - u + 7 = n. What are the prime factors of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3243 = -4*n + 97. Calculate the remainder when n is divided by 84.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 11726 - 11726.1. What is the fourth biggest value in 5, r, 3, -0.08, -1\/4?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -31*s**3 + s**2 - 2*s + 2. Let f be u(-4). What is the tens digit of (-4)\/18 - f\/(-54)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3759, -3758, -3757, -3756, -3755?\nAnswer: -3754","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -882, -2512, -4130, -5730, -7306, -8852?\nAnswer: -10362","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 179979 to the power of 1\/3, to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rz when two letters picked without replacement from zrrzzzrrrzzrzrrzzrzr.\nAnswer: 5\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kipeegk. Give prob of picking 1 p, 1 i, and 1 e.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -6298 (b) -3\/2 (c) 0 (d) -5 (e) -37\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (20\/40)\/(2\/20). Solve q*m + 6 = 1 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 less than or equal to 8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -454 + 705. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -187 - 179*d - 250*d + 521 - 264.\nAnswer: -429*d + 70","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that -1\/3*s**2 - 53\/3*s - 592\/3 = 0.\nAnswer: -37, -16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -57b9bd (base 14) in base 15?\nAnswer: -3e0e82","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1)\/9 + (3 - (-76)\/36). Let h = 46 + -137\/3. Let m = -1.415 - -1.715. Which is the closest to g? (a) m (b) h (c) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (45 - -131) + (51 - 161).\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -7090*d**3 - 77*d - 15.\nAnswer: -42540*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -173 = -5*p + y, -4*y + 183 = 2*p + 3*p. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20 = -4*p, -3*p - 13986 + 14016 = -5*j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1232300621 - 2?\nAnswer: 1232300617","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + -20 - (0 + 5 + -13)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -4474485143950 - -1\nAnswer: -4474485143949","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 - 0.025092?\nAnswer: -0.525092","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 24028350529 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 34607?\nAnswer: 34607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 570 + -567. Let y = -13 - -9. Suppose 0 = l - 2*l + 5. Which is the third biggest value? (a) l (b) y (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 x when three letters picked without replacement from xaaxxxx.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 690 + -271. Let u = q + -311. Is 8 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -50151*w + 5714*w + 8400*w - 19114*w.\nAnswer: -55151*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 11961500 by -5.\nAnswer: -2392300","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -160.0376 rounded to the nearest ten?\nAnswer: -160","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 11*r**3 - 10*r**2 + 8*r - 6. Let u(y) = -2*y**2 + 2*y - 1. Let m(w) = 3*w - 17. Let v be m(4). Let f(h) = v*u(h) + i(h). Give f(-1).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) be the second derivative of -1\/10*c**5 - 8*c + 0 + 0*c**3 + 7\/12*c**4 + 0*c**2. Find the third derivative of h(u) wrt u.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 148, 7, 1, 5 in descending order.\nAnswer: 148, 7, 5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8*45\/72 - 19.\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -z**3 + 8*z**2 + z + 14. Let w(l) = l**2 + 2*l - 27. Let c be w(-7). Determine r(c).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-4)\/2 + (-8 - (5 + -323)).\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 55439721?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 2*i - 30. Let z(t) be the first derivative of 3*t**2\/2 + 71. Calculate w(z(y)).\nAnswer: 6*y - 30","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -b**2 - 20*b + 1270. Let h be x(27). Put -5, -244, h, 2 in increasing order.\nAnswer: -244, -5, h, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.5492 * 30.\nAnswer: -46.476","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-3)\/102)\/((-8)\/2). Let t = 809\/952 + c. Do 2 and t have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2.49966 + -2.5. What is v rounded to four dps?\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g**(5\/6)*g\/g**(-2\/13))**4 assuming g is positive.\nAnswer: g**(466\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00707793 rounded to three dps?\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 + -1 - 0) + -1.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 419\/60 + -153\/20. What is the nearest to a in -2, -4, 5, -0.07?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*l + 7*l + l)*(-15*l - 27 + 268 + 39*l - 109).\nAnswer: 360*l**2 + 1980*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -14*x + 1. Let d(q) = q**2 - 20*q + 97. Let g be d(9). What is p(g)?\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((0\/(-4))\/1)\/(-3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 452\/167*6\/20. Let w = g - 2\/167. Which is the closest to 1? (a) w (b) 1\/3 (c) 3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*c = 4*p - 31*c - 96, 9*c + 176 = 5*p - 56 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -11.91 + -0.09. Let p = 12 + u. Which is the biggest value? (a) p (b) -0.2 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*i = 3*i - 3300. Suppose -5*c - 7*c + i = 0. Let s(v) = -v**3 - 9*v**2 + 7. What is the remainder when c is divided by s(-9)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + -5 + sqrt(125) + sqrt(5) + 5)**2 + 3.\nAnswer: 48*sqrt(5) + 199","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) be the first derivative of 5\/6*r**6 + 0*r**5 + 2*r**2 - 4 - 4*r**3 + 0*r + 1\/4*r**4. What is the third derivative of n(l) wrt l?\nAnswer: 300*l**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(204) - (sqrt(204) + sqrt(204)*-2))*-1 + -3*(sqrt(204) + sqrt(204)*-1))\/(sqrt(1728) - -4*-4*sqrt(1728) - sqrt(1728)).\nAnswer: sqrt(17)\/96","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.4 (b) -3 (c) 3\/7 (d) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2\/53 - 59\/159. Let l be 2\/6 + (-20)\/(-84). What is the closest to 0 in l, -3, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 429 and 78?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-2)\/45)\/(7\/21). Let i be (4\/(-6) - (-494)\/858)*2. Suppose 3*k + 4 = -k. Sort l, i, k.\nAnswer: k, i, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3558 and -2427?\nAnswer: 8635266","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.68 and 3.4413764.\nAnswer: 2.7613764","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -8722*q + 26174. Calculate t(3).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (16 - 9)\/(0 + -1)*-57.\nAnswer: 3, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 64 = -21. What is the remainder when 46 is divided by t?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3.98 - 0.02. Let g = -44 - -39. What is the closest to -2\/3 in z, g, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1339 or -1372?\nAnswer: -1372","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (-t - t - 2*t)*(0*t - 4*t + 2*t) + (2 - 2 + 2*t**2)*(-5 - 1 + 5) + (3*t**2 + t**2 - 6*t**2)*(-1 + 2 + 1) as y*t + n*t**2 + c and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 359599 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -10c1 (base 14) to base 2\nAnswer: -101101100001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -77? (a) 3 (b) -1\/14 (c) 2 (d) 22\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 8681.539 millilitres in litres?\nAnswer: 8.681539","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: How many months are there in seventy-one quarters of a century?\nAnswer: 21300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(-4 + sqrt(637) + 2).\nAnswer: -6 + 21*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*w**2 - 6*w**2 + 2*w**2)*(95*w - 95*w + 29*w**2).\nAnswer: -58*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -34*h**2*p**5 + 2*h**2 - 270*h*p**2 + 3*p**6 wrt p?\nAnswer: -2040*h**2*p**2 + 360*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*i**2 + 16*i**2 - 171*i**2.\nAnswer: -159*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -7 - -7.06. Let t = -0.34 - k. Let j = -1.4 - t. Which is bigger: 4 or j?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -412 + 422. What is the units digit of ((-1456)\/10)\/(k\/(-25))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((2 + sqrt(7))*-4)**2 + sqrt(7) + sqrt(14)\/sqrt(2)*-2)*-2.\nAnswer: -352 - 126*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l - 1 = -22*h + 1, -1110 = -3*h - l - 1117 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 44*n - 1. What is x(1)?\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -121104 in -1.13, -1\/5, -5, 0?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z, 2 s, and 1 m when four letters picked without replacement from mksksskkmmkzsakksffk.\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 75673 = 4*y - 294736, 4*u - 4*y = 493944. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 1603?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = o**3 + 13*o**2 - 12*o + 30. Let v be z(-14). Solve -j = -v*j - 4 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -56 - -81.5. Let p = -25.985 + -0.015. Let c = p + m. What is the nearest to 0.04 in -3\/5, c, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) be the third derivative of -l**4\/24 + 5*l**2. Calculate m(0).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -8640 (base 9) to base 5.\nAnswer: -200404","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 5646 (b) 0.1 (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is o in -2*o**2\/7 + 3770258*o\/7 - 98025356\/7 = 0?\nAnswer: 26, 1885103","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -329, 3, -3 in ascending order.\nAnswer: -329, -3, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1566 + 3410. What is the least common multiple of 16 and s?\nAnswer: 7376","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 509910 and 598.\nAnswer: 6628830","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 40356 is divided by 337?\nAnswer: 253","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 - -2 - (-1 - 1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 516644 and 748159?\nAnswer: 2437","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*(sqrt(208) + -1 - sqrt(208))*-3 + -2*sqrt(208)*2 + 3)*2)**2.\nAnswer: 13312","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 242767440?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -646.0002952 + 646. Round x to 5 decimal places.\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) be the second derivative of -s**5\/20 - s**4\/12 - 4*s**2 - 3*s. Let i be j(0). Let u be -11375*(-3)\/(3\/i). What is u rounded to the nearest 10000?\nAnswer: -90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -v**2 - 10*v - 15. Let r be a(-5). Suppose r*c - 24 = 7*c. Suppose 5*n - 3*o + 14 = o, 5*n + c = -2*o. Sort 1, 5, n in decreasing order.\nAnswer: 5, 1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (65\/78 + (-833)\/1050)*(-180)\/54\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 39 is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r + 394 = -5*q + 345, 0 = -2*r + 3*r - q - 19 for r.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*g + 46 - 10. Let p = g - -29. What are the prime factors of p?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00457481 rounded to four decimal places?\nAnswer: -0.0046","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*n - 0*n - 4. Let w(v) = -v**3 - 2*v**2 + 2. Let j be w(n). Suppose 3*r - 5*k - 6 = 0, 5*r - 10 = -j*k + k. What is the units digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = b. Let l(j) = 11*j. Calculate d(l(n)).\nAnswer: 11*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 17 + -117?\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -s**3 + 6*s**2 + 8*s - 9. Let m be r(7). Let v(d) = -6*d**2 - 2*d. Let w be v(m). Let j = w + 72. Is 11 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -37*b + 2 + 55*b - 2.\nAnswer: 18*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 2*i + 1 - 2*i + 2*i - i. What is the units digit of a(5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = l + 17. Let i = 10 + -6. Suppose -i*v + 0*v = -128. Calculate the remainder when v is divided by u(0).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:04 AM and 9:04 AM?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) be the first derivative of 4 - 4\/3*i**3 - 12*i - 10*i**2 + i**4. Determine r, given that d(r) = 0.\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -57*r + 41*r - 48 = 0 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3, -7, -25, -51, -85?\nAnswer: -127","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3 + -8bbdb7?\nAnswer: -8bbdba","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) be the second derivative of 131*a**7\/7 + 259*a**3\/6 + a**2\/2 + 2*a - 25. Find the second derivative of h(z) wrt z.\nAnswer: 15720*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 385 + 4*c**2 - c**2 - 381 + c**3 as k*c + q*c**3 + g + u*c**2 and give g.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3 (b) 65 (c) 5 (d) 4 (e) -1\/2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = y**2 + 17. Let j be m(0). Let k = 21 - j. Solve -4 = -k*b + q, 1 = 2*b + q + 5 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -38604640 to the nearest one hundred thousand.\nAnswer: -38600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (1\/(-19))\/((-8)\/16). What is the nearest to -1 in -0.5, -3, r?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -1, 1, 2, 56, -67 in ascending order.\nAnswer: -67, -2, -1, 1, 2, 56","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 5, q: 5}. Give prob of picking 1 p and 3 q.\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-15)\/10*((-1460)\/6)\/5. Suppose g - 383 = -2*s. What is the hundreds digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*k**2 + k**2 + 4*k**2)*(-3370 + 819*k + 3370) to the form b*k + v + q*k**2 + y*k**3 and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Let g be (-14)\/10 - (-2)\/5. Let h = -68683 + 68699. Calculate the lowest common multiple of (-1)\/(-1) + g + 8 and h.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*r - 12 = -29*r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-16)\/8)\/(6 + 1). Let r = 9 + -3. Which is the closest to t? (a) r (b) 5 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -4\/9769 equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -35.1273453 to three dps.\nAnswer: -35.127","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 539 minutes before 12:49 PM?\nAnswer: 3:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2.9 - 4. Let i = 1.1 + r. Sort i, 0.4, -4 in decreasing order.\nAnswer: 0.4, i, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (2\/(-20))\/(1\/2). Let o = -155 + 161.1. Let k = 2.1 - o. Which is the second smallest value? (a) k (b) z (c) -3 (d) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 456 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -30 - 3b7?\nAnswer: -407","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (sqrt(931) - (sqrt(931)*2 + 0) - (-6*-1*sqrt(931) - sqrt(931))))**2.\nAnswer: 252*sqrt(19) + 33525","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1602530*z**3 + 2*z**2 - 2*z**2 - 6*z + 1602055*z**3 to t + g*z**3 + p*z**2 + h*z and give g.\nAnswer: -475","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 5 (b) -0.05 (c) 13 (d) -226\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 3*l + 8*l - 5 - 12*l. Let b be x(-10). Solve b*f + 7 = -3 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5504 + 5534. Suppose 2*f = 3*f - 1. Let j(h) = 81*h**2 - 1. Let y be j(f). Calculate the highest common factor of a and y.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -33 (base 10) to base 6\nAnswer: -53","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -55\/372 and -71\/16?\nAnswer: 1488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.1, -10, 643635?\nAnswer: 643635","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 13*x - 323 = 0. Suppose 2*l - 184 = -0*l. Calculate the remainder when l is divided by x.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 142331, 284669, 427009, 569351?\n\"Answer: i**2 + 142335*i - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*c**3 - 2*c + 122 + 14*c**3 + 2*c.\nAnswer: c**3 + 122","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -61 + 61. Solve 9*u - 4*u - 5 = k for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*a**3 + 2*a**3 + 3*a**3 + (-3*a**2 - a**2 + 3*a**2)*(a - 3*a + a) + 3*a**3 + a**3 - 3*a**3 + 5*a**3 + 4*a - 4*a + a.\nAnswer: 12*a**3 + a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide -630 by 21.\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 36 + (-89 - -42) - (2 - (-1 - -2 - -28)).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15776703 is divided by 1126906?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (367\/2)\/(2\/(16\/(-2))). Let b = -491 - l. What is the hundreds digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 14, 44, 102, 194, 326, 504, 734?\n\"Answer: y**3 + 8*y**2 - y + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39 - 481 = -5*j + 4*d, 335 = 4*j + 3*d. Is 16 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -15 - -10. Is -5 < r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -14*k. Let j(a) = -11*a. Let t(y) = 4*y. Let h(m) = -6*j(m) - 17*t(m). What is h(z(v))?\nAnswer: 28*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 3*a + 2. Let g(f) = -f**3 - f**2 + 7*f + 6. Let q(r) = 5*g(r) - 5*n(r). Factor q(j).\nAnswer: -5*(j - 2)*(j + 1)*(j + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (8*n**4 + 4*n**4 - 2*n**4)*(-1 + 0 + 2)*(5 + 2 - 3) - 2*n - n**4 + 2*n to m + o*n + r*n**3 + u*n**4 + l*n**2 and give u.\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -29*x**2 + 554*x + 18. What is the smallest common multiple of 24 and d(19)?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 66\/((-9)\/6*-1). Suppose 3*g = -0*g + 330. What is the highest common divisor of g and o?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*i - 117360 = -19*i. Suppose -i = 2*u - 8*u. What are the prime factors of u?\nAnswer: 2, 5, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23789 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 20991, 20983, 20973, 20961, 20947?\nAnswer: 20931","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -125*v**4 - 42*v**2 + 63*v**4 + 62*v**4 - 8*v**6 wrt v?\nAnswer: -960*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 800606 to the nearest integer?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 138 and 207.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*w + 4*s - 892 = -13*w, -2*s + 10 = 0. Is w a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/(h\/(h*h*h*h**(-6\/5)\/h*h)*h)*h)**31 assuming h is positive.\nAnswer: h**(279\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 + 9 - 16*t - 9 as u + f*t and give f.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is c in 5*c**3 - 240*c**2 + 235*c = 0?\nAnswer: 0, 1, 47","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*y + 162*y**2 - 80*y**2 - 4*y**5 - 65*y**5 - 80*y**2 wrt y?\nAnswer: -4140*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + j - 1)*(-3*j**3 + 4*j**3 + j**3) - 3*j**4 + 5*j**4 + 7*j**4.\nAnswer: 11*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -367, -1491, -3375, -6025, -9447, -13647, -18631, -24405?\nAnswer: -30975","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 164661, 658639, 1481937, 2634555, 4116493, 5927751, 8068329?\nAnswer: 10538227","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oo when two letters picked without replacement from ggooog.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fppfffpypykpkfpfppfy. What is prob of picking 2 k?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 52988336?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 389796 to the nearest integer?\nAnswer: 624","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4 - -13) + -1 - (-5 + 10).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 55 - 22. Suppose l - v = -0*i - 4*i, -20 = -4*l. Calculate the remainder when 5 is divided by (2 - i)*(-20)\/25.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -414, -3321, -11198, -26529, -51798?\n\"Answer: -414*f**3 - f**2 - 6*f + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = v**2 + v + 1. Let j(c) = 13*c**2 + 6*c + 46. Let t(y) = -j(y) + 6*z(y). Find the first derivative of t(o) wrt o.\nAnswer: -14*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -143149, -287329, -432533, -578755, -725989, -874229?\n\"Answer: w**3 - 518*w**2 - 142633*w + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-2\/3))**(-11))**(-2\/13) assuming o is positive.\nAnswer: o**(-44\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3550 + 3552. Let s(x) be the first derivative of -1\/18*x**4 - 10\/27*x**3 - 36 - 8\/9*x - 8\/9*x**l. Factor s(i).\nAnswer: -2*(i + 1)*(i + 2)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -12*t**4 - 76*t**3 - 152*t**2 - 96*t.\nAnswer: -4*t*(t + 2)*(t + 3)*(3*t + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 11 + -8. Find the third derivative of 4*s**5 + 2*s**2 + 2*s**2 - y*s**2 + 4*s**2 wrt s.\nAnswer: 240*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l = -5*n - 34385, 3*n = 4*l + 7435 + 20045. Suppose 4*d - 55984 = -17292. Let k = l + d. What is k rounded to the nearest one thousand?\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 74135*n + 890 = 74046*n for n.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 10\/27 of a day?\nAnswer: 32000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 559 minutes before 12:43 PM?\nAnswer: 3:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 12826718?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -137\/2640 and 127\/48?\nAnswer: 2640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) be the second derivative of -c**7\/273 - c**6\/65 + 3*c**5\/65 + 5*c**4\/39 - 7*c**3\/13 + 9*c**2\/13 - 18*c. Solve u(m) = 0 for m.\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2403.413 to zero decimal places.\nAnswer: 2403","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 95\/(-15)*(-4 - -1). Let t(y) = v + 0 - 5 + y - 7*y. Let b be t(11). What is b rounded to the nearest ten?\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 10 + -12. Sort k, 0.07, 1, 3 in increasing order.\nAnswer: k, 0.07, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (21*l**2 + 46 - 46)*(-77 + 106*l + 77 - 1 + 1 - 2*l - 2 - 2*l + 2 + (1 + 2 - 5)*(2*l - 4 + 4) + 4*l - 2*l - 3*l + 3*l - 3*l - l).\nAnswer: 2016*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 240 divide 27164?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 2499 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: What is 0.1 - -6952?\nAnswer: 6952.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -492876, 3, -3\/8 in descending order.\nAnswer: 3, -3\/8, -492876","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vv when two letters picked without replacement from {c: 2, t: 5, q: 1, a: 1, v: 2, b: 2}.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2f0 - 6280?\nAnswer: -6570","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1 - 4.84.\nAnswer: -3.84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 10106302 (base 7) in base 6?\nAnswer: 30020421","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 12 = -z + 2*n, 0 = -z - 3*n + 52. Suppose 5*f = -4*o - 141, -2 - z = o + 5*f. What are the prime factors of (-2)\/6*(o + 4)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.516000422 + 0.516. Round q to 7 dps.\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2611\/3 + 875. Determine x, given that -4\/3*x**4 + 0 + z*x**3 - 14\/3*x**2 + 4\/3*x = 0.\nAnswer: 0, 1\/2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(-4*(-2 + sqrt(1331) + 1 + sqrt(1331) + -1) + 5)**2*4.\nAnswer: -1707060 + 45760*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, 4\/319, -225.3, -2, 4, -5 in descending order.\nAnswer: 4, 0.1, 4\/319, -2, -5, -225.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1.52 - 1.8. Is m less than or equal to -0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**3 - 7*c**2 - 17*c - 9.\nAnswer: (c - 9)*(c + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 12 - 9. Suppose -j*b = -5*p + 49, 5*p = -0*b - 3*b + 1. Let o = b - -11. What is the greatest common divisor of o and 24?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 69487*c*g**3 + 6*c*g - 2213 wrt g.\nAnswer: 416922*c*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -37 + 15 + 22 + 21*t. Let z(d) = -d**2. Determine a(z(y)).\nAnswer: -21*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u + 4*x - 36 = 0, 63*u - 4*x = 57*u - 60 for u.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = c**3 - c**2 - 17. Let g be u(0). Let z = g + 12. Let i = -10 - -6. Sort i, z, 3.\nAnswer: z, i, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1297264 is divided by 24.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 69186?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1 + 3. What is the second derivative of -z*c**3 - c - c - c + c**3 wrt c?\nAnswer: -6*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*k - k - 380 = 0. Suppose 19 = 5*b - k. Is b less than or equal to 19?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000202426 to six dps.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-x - 5 + 5)*(-7*x**2 + 6*x**2 - 8*x**2) + 3 - 3 - 2*x**3.\nAnswer: 7*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -81810\/6313 - -2428278194\/574483. Let k = 4214 - w. Are k and 1 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Convert 13e (base 16) to base 8.\nAnswer: 476","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 50498 - 172052 = -4*u, -2*u = v - 60768. Does 21 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-7)\/(-7))\/2)\/((-5)\/110)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -75\/15194 and 123\/3550?\nAnswer: 379850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g**2*g*g*g**(-9))\/((g*g**(-2\/11))\/(g*g**(1\/7)\/g*g*g)) assuming g is positive.\nAnswer: g**(-206\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -231259748, -231259747, -231259746?\nAnswer: -231259745","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 10*c + 4*c + 28 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (3\/(-2))\/(30\/8). Let t = -8391 - -8375.5. Which is smaller: q or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 258238.879 + 7.7.\nAnswer: 258246.579","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(-8))\/(6\/24)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.03 + -1.97. Let f = 6 - 3. Let z = -8842.4 - -8842. What is the third smallest value in f, z, g?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 42837\/32 in 0, -1, -45?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:28 AM and 1:40 AM?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -517 + 517 - 4*b**3.\nAnswer: -4*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 5*w + 37. Suppose 23 = -11*v + 23. Calculate the remainder when j(v) is divided by 19.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 12 and 1714946.\nAnswer: 10289676","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 3*u - n + 9 = 0, 0 = u - 5*n. Put u, 2, -2, 1, 0 in decreasing order.\nAnswer: 2, 1, 0, -2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 9, 14, 19?\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*r - r - 5. Calculate the least common multiple of (1\/2)\/((-5)\/(-110)) and r.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-24)\/(-20))\/(-6)*4\/4?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 2*h**2 + 3*h. Let c(g) = 4 - g**3 - 6 - 5*g**2 + 0. Let w be c(-5). Let b be z(w). What is the highest common factor of 10 and b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9 (base 16) to base 8\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -92 + 0 + (-4 - -32) + -19 + 2.\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -0.5, -5378, 1\/9, -5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 2\/14941 = 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2527 * -116.83.\nAnswer: 295229.41","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, -2\/115, -2 in descending order.\nAnswer: -2\/115, -0.1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 132 minutes before 6:10 AM?\nAnswer: 3:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -127, -154, 69, 698, 1889?\nAnswer: 3798","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (r - 4*r + 5*r)*(22 + 26*r + 83 - 31*r) in the form i*r**2 + l*r + s and give i.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 3*f + 18 = -0*v, -2 = -v - f. Let i be (-1 + (-8)\/(-6))*0\/41. Solve 8\/5*w**2 - 2\/5*w**4 - 8\/5*w + 2\/5*w**v + i = 0 for w.\nAnswer: -2, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = -v. Suppose v = 2*o - 7 - 3. Suppose 0 = 3*f - 15, o*l = f - 0*f + 15. Which is greater: 0.2 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 93870387629 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 3, 8, 1 in ascending order.\nAnswer: -4, 1, 3, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*u - 5*y = -20, -5*u - 12 = 2350*y - 2349*y for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) be the first derivative of 2*n**7\/175 - n**6\/30 + n**5\/75 + n**4\/30 - 2*n**2 + 5. Let q(u) be the second derivative of c(u). Factor q(w).\nAnswer: 4*w*(w - 1)**2*(3*w + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:36 AM and 3:20 PM?\nAnswer: 344","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 22 and (-2)\/8 - (-89)\/4?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 2, q: 4, p: 3, c: 2, i: 6, a: 1}. Give prob of sequence pqs.\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42 = 4*d + 2*x, d = -d + 4*x + 46. Let c = 11 - 7. Let n = -9 + 12. Solve -c*o + d + n = 0 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48*u + 12*u + 74*u - 4422 = 0. Solve u = 42*m - 31*m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -d + 9. Let j(v) = 9. Let f(i) = -4*j(i) + 5*p(i). Let w = -22 + 11. Let u be f(w). What is the highest common divisor of 8 and u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 2, d: 1, m: 1, t: 1, f: 2, e: 1}. Give prob of picking 3 t and 1 f.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.02? (a) 3 (b) -2\/29 (c) 52 (d) -0.8 (e) -279\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*t**2 + 1968*t - 322752 = 0. Calculate t.\nAnswer: 328","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (86*-3)\/6*(2 - 3). What is the second derivative of 11 + 50*x**2 + 2*x - 7*x**2 + 2*x**5 + l*x**2 - 3 wrt x?\nAnswer: 40*x**3 + 172","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 179 - 266. Let r be (j\/(-6) - 3)*46. Suppose -5*q = -25, -2*m + r + 360 = 3*q. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -359*b - 3*v - 3114 = -362*b, 5*v = -3*b + 3170. What is the remainder when b is divided by 322?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18194 divided by 1654.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -2 + 5 + 1 - 3 + 3*b. Determine p(-3).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 8 = -4*i + 10, -4*i - 12 = 0. Let n = 26 + j. What is the units digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 42240180?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in 0, -9, 1\/10, -2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = p + 9. Let y be c(-7). Suppose -m + 93 = y*b, 0*b = 3*b + 12. Suppose m = 5*j + 11. Solve 5*n - 3 = -j for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9125435861 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4 + -c71?\nAnswer: -c75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -135169582*y. Let i(g) = g. What is i(s(q))?\nAnswer: -135169582*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -4224 (base 6) in base 11?\nAnswer: -796","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:04 AM and 4:36 PM?\nAnswer: 332","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*v + 14 = 5*v. Let i = 11 + v. Suppose -3*s + 58 = 5*j, i*s + 7 = 2*j - 11. Is j a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = p**3 - p - 3. What is the tens digit of y(3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1924?\nAnswer: 2, 13, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 times 9?\nAnswer: -117","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10 - -29 - 10) + -7?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.408269042 rounded to 2 decimal places?\nAnswer: 0.41","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(1 + sqrt(112) + sqrt(112) + -1 + -2 + (2 + 1*sqrt(112) - 6*(sqrt(112) + 1*sqrt(112))))**2.\nAnswer: 36288","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10980406?\nAnswer: 2, 149, 36847","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = -0*j - 5. Let q(g) = -29*g - 10. Let b be q(j). Let p be 12 + ((-12)\/2)\/(-2). Calculate the greatest common divisor of b and p.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 2 v when three letters picked without replacement from {m: 8, y: 4, p: 1, q: 2, v: 4}.\nAnswer: 8\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 104, 5, 5\/2, 1\/2, 4\/7?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*b**2 + 18*b**2 + 22*b**2 - 52*b**2.\nAnswer: b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -1 + (5 - 2) - -2. Let q be (56\/(-20) - -4)\/((-6)\/(-20)). Differentiate m**4 + 0*m**n + 0*m**q - 5 + 2 wrt m.\nAnswer: 4*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/2911 or 0?\nAnswer: -2\/2911","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1385 a factor of 7346040?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1392 and 108054.\nAnswer: 864432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -19, -5.6, -6, 0.01, 3, 0.2, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(-3\/10)\/(((g\/g**(-8\/5))\/g)\/g) assuming g is positive.\nAnswer: g**(-9\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 4*l**2 + 16*l + 9. Calculate the remainder when j(-6) is divided by ((-12)\/14)\/((-5)\/175).\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 950*s + 3*s**3 - 950*s.\nAnswer: 3*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) be the third derivative of -o**4\/8 + o**3\/2 + 6*o**2. Let f(j) = -12*j + 1. Let w be f(1). What is the tens digit of g(w)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4170.9999997091 + -4171. What is j rounded to 7 dps?\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) be the first derivative of 4 + 1\/2*y**2 + 0*y. Let b(x) = 14*x. Determine b(j(z)).\nAnswer: 14*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-113 + (-31020)\/(-275))\/(2\/670).\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 3*i = 0. Suppose -3*r = p + 1, -4*p - 5*r = -i - 10. Suppose -p*k = -0 + 25, -3*j - 3*k = 3. Solve f + j*f + 10 = 0 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 5 (b) -2\/3 (c) 4 (d) -5.8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 125*g + 54*g**3 + 134*g - 10*g**3 - 257*g to l + y*g**3 + z*g + k*g**2 and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = i**2 + 4*i + 7. Let q be u(-5). Let h(v) = 5*v**2 + 7*v. Let s be h(2). Let z = 38 - s. Solve -c + z*b = -q, -c - 4*b + 6*b = -6 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8077 * 0.11\nAnswer: -888.47","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -128 + 133. What is the second derivative of 33*w**3 - w**a - 95 - 6*w + 90 + 0*w**5 - w**5 wrt w?\nAnswer: -40*w**3 + 198*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (298*l - 81*l - 464*l)*((l - 4*l + l)*(-2 - 2 + 5) + (2 - 2 - 2)*(-2*l + 2*l + 2*l))*(4*l + l - 3*l).\nAnswer: 2964*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/103, -0.1, 0.03, -5, 44242 in ascending order.\nAnswer: -5, -0.1, 2\/103, 0.03, 44242","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7145205?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(((-220)\/(-22))\/(-2)).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2174\/108700)\/(4\/75).\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = 3*o - 4 - 10, 3*w = 6. Let l = -40 - -14. Let z = 28 + l. Calculate the remainder when o is divided by z.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 612 and 126411966?\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2 (b) -0.11891 (c) 5 (d) 24 (e) 4 (f) -0.4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -5*f**2 + 4*f - 27. Give g(5).\nAnswer: -132","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jjj when three letters picked without replacement from jjjjjj.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-6)\/12 - 15\/(-6)) + 1. Let h = 37 + -32. What is the second biggest value in 0.056, f, h, -3?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42*p - 17*p + 174 = -121 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2\/5, 0.39, -3, -7, -1.2, -1\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*i = -3*i - 3*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o**(-10)\/(o*o**(2\/7)))**(-43))**(-2\/111))**(-20) assuming o is positive.\nAnswer: o**(135880\/777)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (-8 - -6)*4*14\/(-728)\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -2*f**5 + 4*f**4 + 4*f**3 - 34*f**2. Let k(q) = q**4 + q**3 - q**2. Let i(g) = -h(g) + 4*k(g). Find the third derivative of i(n) wrt n.\nAnswer: 120*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -127307 or -127303?\nAnswer: -127303","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25 is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -5 + 9 + -16 + 2. What is the closest to -1\/4 in i, 0.1, -3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (72\/(-312))\/((-3)\/2)?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 154\/(-88) + (-22)\/(-8). Is m not equal to 2\/881?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -28*(-21842)\/(-1105629) - 12\/(-19)?\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -179 = -5*s - 134. Calculate the lowest common multiple of 6 and s.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1*-1)\/((-3)\/9*9\/186*-2)?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2537874?\nAnswer: 2, 3, 277, 509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide -10577265 by 23.\nAnswer: -10577265\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 88 + -87. Let m = -65315 + 7511278\/115. Let i = m + -6\/23. Put 1\/4, i, h in ascending order.\nAnswer: i, 1\/4, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 176 + 56 = 0. Does 10 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 63500 and 12700.\nAnswer: 63500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 57 (b) -3\/2 (c) 857 (d) -2 (e) 1\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 5828 or 5494?\nAnswer: 5828","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*j - 38*j + 17*j + 459 = 0 for j.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*q - 15*q = -6. Suppose 6 = -3*n + q*n. Solve 3*k - a - 11 = -0*k, -n*k + 2*a = -6 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27790000 rounded to the nearest one million?\nAnswer: 28000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -7\/15 (b) -4 (c) 12 (d) -23 (e) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*r**5\/7 - 4*r**4 - 114*r**3\/7 - 144*r**2\/7.\nAnswer: -2*r**2*(r + 3)**2*(r + 8)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 13715685 to the power of 1\/2, to the nearest integer?\nAnswer: 3703","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*u + 2*u - 100 + 79.\nAnswer: -3*u - 21","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 114784 = -16678. Let o = 138106 - g. Round o to the nearest 10000.\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ywi when three letters picked without replacement from uywwyi?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2222 is divided by 10.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t + 0*j + j = -1, -2*t + 6*j - 525665 + 525623 = 0 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -83\/12, 10797.\nAnswer: -83\/12, 5, 10797","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3981164 by 44.\nAnswer: 90481","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Product of -677541 and -4.\nAnswer: 2710164","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*x + 5*x + x)*(-10 + 5 - 45)*(-1 + 3 + 0)*(-x - x + 0*x) to w*x**2 + k*x + i and give w.\nAnswer: 400","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 bigger than -4\/127?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -g. Let k(d) = 326002*d + 2 - 1 + 2 - 2 - 326010*d + 6. Suppose -5*l + l - 24 = 0. What is l*q(c) + k(c)?\nAnswer: -2*c + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 5*v = 29, -3*n = -4*n - v + 7. Solve n*r - 4 - 11 = 0 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -80*a - 22 = -69*a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 79 divide 180262516?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 58 divide 105834400?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (14\/6)\/((-1)\/(-15)). What is the highest common divisor of g and 35?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gyfpgppgyfggqvgvffy. What is prob of picking 2 p?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the second derivative of -u**7\/2520 + 11*u**6\/720 - 2*u**5\/15 + 25*u**4\/6 - 24*u + 4. Let q(f) be the third derivative of t(f). What is q(9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4179 divided by -2857\nAnswer: -4179\/2857","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (25 - 22) + 4 + (0 - 18)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + -8772433667781?\nAnswer: -8772433667777","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 41025568?\nAnswer: 2, 97, 13217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -15545 - -23001. What is the hundreds digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*i - 4 - 4 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-13299)\/(-2288) + 3\/16.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) be the third derivative of -i**9\/504 + 29*i**6\/40 + 11*i**5\/12 + i**3\/3 + 247*i**2. What is the third derivative of q(t) wrt t?\nAnswer: -120*t**3 + 522","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1605\/(-1281) - 9\/(-7)?\nAnswer: 2\/61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Are -412954 and -414625 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = d - 4. Let q be y(9). Let s = -0.02 - 4.98. Let x be (-17)\/(-27) - (-33)\/891. Which is the closest to x? (a) q (b) -0.1 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2 - 4. Let d be n\/4 + (-23)\/2. Let f = d + 34. Is f a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c = 3*q - 0*q - 24, 3*c - 6 = -5*q. Does 21 divide (-2 - -1)\/(c\/171)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1601 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 184, 180, 176, 172, 168?\n\"Answer: -4*r + 188","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 3\/10 of a millennium?\nAnswer: 30","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3329?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 387741309.\nAnswer: 3, 129247103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -273 + 102 = -21*z + 39 for z.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*v**2 + 10*v**2 + 3*v**2.\nAnswer: v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -350243 - 279623 = 21683*z - 95968 + 51543 for z.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -40*-0.95\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = t**3 - 100*t**2 + 54*t - 5459. What is y(100)?\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 63 + 27*k**3 - 63.\nAnswer: 27*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -72*m - 11 = -57*m + 34 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*p**5 + 0*p**5 - 3*p**5)*(-178 + 81 + 214 + 198).\nAnswer: -945*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3\/(-2)*96\/9. Let q = 5 - z. Let m = q + -3. Is m a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1 - 4883a0b9?\nAnswer: -4883a0ba","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 203960 to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = h**2 - 14*h - 33. Let m be l(16). Let k be (-13)\/((m - 2) + 2). Calculate the highest common divisor of k and 52.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -9 + -176559?\nAnswer: -176568","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21633714 is divided by 9901.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + (-7 - (-11 - 5)) + 3 + 0.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 13 + -17. Let s = -7 - o. Let p(l) = -66*l - 4 + 135*l - 73*l. Determine p(s).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 64291 and 3824.\nAnswer: 239","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 minus 7463647?\nAnswer: -7463646","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 3152 = 2*q, 3*q + 4174 = 4*n - 29. Is 27 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by -8801703?\nAnswer: -4\/8801703","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -410004222 + 0?\nAnswer: -410004222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (2 + sqrt(2736) - sqrt(2736)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6501811036 + -6501810972.99999953. Let t = -62 + -1. Let o = t + r. What is o rounded to 7 dps?\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -14977 - -14977.3. What is the third smallest value in v, 3, 125?\nAnswer: 125","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 3*c - 11. Let v = 51 + -44. Let n be y(v). Solve 0*s + 2*s = -n for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 7*f. Let n(i) = 2787230*i. Calculate n(s(r)).\nAnswer: 19510610*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -k**3 - 7. Suppose -i - 24 = 3*z + 4*i, -4*z - 3*i = 21. Calculate the remainder when 117 is divided by r(z).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 84243.\nAnswer: 3, 28081","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 5996 = -409*v + 405*v, -5*a + 6044 = 4*v. Calculate the remainder when a is divided by 11.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-5556)\/(-50) - (-354)\/(-2950). Solve s + 15 = -14*b for b.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 432 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4980 is divided by 106.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*b = -23*b - 198. Let f be 10\/(-20) - b\/4. Solve -8*k - 4 = -f*k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -53 + 49. What is the nearest to -1 in 0.3, h, 0.4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1797 + 1874.57. Let u = 78 - a. What is u rounded to one dp?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -19714, -78893, -177534, -315643, -493226?\n\"Answer: -a**3 - 19725*a**2 + 3*a + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.088658 rounded to 2 decimal places?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35987 = -79092*p + 79463*p for p.\nAnswer: 97","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 2, x: 2, v: 4}. Give prob of sequence vg.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8\/(-3) - 2\/(-2) - 3500\/60.\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 3*u = 8*h - 151, 5*h - 4*u = 172. What is the greatest common factor of 32 and h?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1 - 4d0e3a?\nAnswer: -4d0e3b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 9 - 3. Suppose -l*z + z = 25. Let f(j) = j**3 + 5*j**2 + j + 1. What is f(z)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 18a7 + -2?\nAnswer: 18a5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 124658*v + 373717. Calculate r(-3).\nAnswer: -257","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 2*j**2 + 5*j - 12. Let h be t(6). Let m = 26 - h. Let o = m - -205. List the prime factors of o.\nAnswer: 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 226 a factor of (-2426)\/(-6065) + 635242\/70 + (-6)\/21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21 = -6*l - 3*f, -248*l - 2*f - 6 = -246*l for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 152, 309, 466, 623?\nAnswer: 780","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -3*y - 2, -y = -2*u + 707. Suppose u - 3281 = -14*j. Let l be (-346)\/(-18) + -4*(-1)\/(-18). Calculate the highest common divisor of l and j.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 2.4 (b) 3 (c) 36 (d) 1\/6 (e) 3\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 14*b**2 + 347*b - 4. What is the smallest common multiple of u(-28) and 314?\nAnswer: 1256","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1.1 + 1. Suppose 0 = 2*w + 3*q - 18, -4*w = -2*w + 4*q - 22. Let m be (8\/6)\/(5 - w). Put m, r, 4 in ascending order.\nAnswer: r, m, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1.1 in 1\/6, 0, -0.4, -198\/67?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2094205 rounded to the nearest 10000?\nAnswer: 2090000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 32*a**2 - 2*a - 3. List the prime factors of t(5).\nAnswer: 787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9764225 divided by 5.\nAnswer: 1952845","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 17 - 10 + 18 - x as u*x + r and give r.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 256049000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 17 - 86\/5. What is the biggest value in 2\/9, f, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*q + 0*q - q**2)*(q**2 + 2*q**2 + 0*q**2) + (-2*q + 2*q - 3*q)*(4 - 4 + 2*q**3) as m*q + c*q**3 + x + t*q**4 + r*q**2 and give t.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -5 + 4 + 3 + 5 - 2*o**2 + 13*o. What is the least common multiple of s(6) and 6?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -1040*j**2 + 2068*j + 13. What is u(2)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 49\/4 of a microgram in nanograms?\nAnswer: 12250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6377 to the nearest integer?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 14 and 8.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n\/(n**(2\/13)*n))\/n*n*n*(n\/((n*n*n\/n**(-9))\/n)*n)\/n)**9*((n*n**3)\/(n\/n**(-1\/3)))**(-3\/4) assuming n is positive.\nAnswer: n**(-980\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = -f - 54, -w + 143 = -3*f - 5. Let p be (-1)\/((f\/(-16) - 3)*-2). Suppose p*s - 4 = -0. Calculate the highest common factor of s and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -26705*j**4 - 6*j**3 + 1722497.\nAnswer: -106820*j**3 - 18*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 0, -57, -1\/4, 1 in decreasing order.\nAnswer: 2, 1, 0, -1\/4, -57","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -19 + 17. What is the remainder when 384\/30 + (-5)\/(-25) is divided by (-40)\/8*(1 + g)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -8*g**3 + g**2 - g + 3. Let v = 18 + -20. What is the tens digit of b(v)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 951758?\nAnswer: 2, 475879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 189 divided by 189?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:18 PM and 6:06 AM?\nAnswer: 588","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5\/6 + -13\/21. Is s at least as big as 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) be the first derivative of -3\/2*x**2 - 1\/4*x**6 - 1\/2*x**3 + 3\/10*x**5 + 9\/8*x**4 + 0*x + 3. Solve f(u) = 0.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -2*f + 41. Let o be 274\/18 - 14\/63. Let v be s(o). Calculate the greatest common divisor of v and 121.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 83 - 116. Let n = 197\/6 + r. What is the closest to 3\/4 in 0, n, 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((sqrt(78)\/(sqrt(2) - (-1*sqrt(98) + sqrt(2))))\/((sqrt(147) + 2*sqrt(147) + sqrt(147))*-2 - sqrt(147)))**2 + 2.\nAnswer: 388975\/194481","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = d**2 + d + 18. Let p be f(0). Let o = -6 + p. What are the prime factors of o?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/16 of a minute in milliseconds?\nAnswer: 56250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zlnnzlnnnnllnznnnnnn. What is prob of sequence lnl?\nAnswer: 13\/570","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 3*x + 4. Let n = -76 - -139. Let k = 71 - n. Suppose 0 = -15*w + 13*w + k. Let v(l) = 3*l + 3. Give w*v(z) - 3*f(z).\nAnswer: 3*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -26 - -25.6. Let s = 6.6 - r. Let q = s - 7.3. Which is the biggest value? (a) -4 (b) 2\/13 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 754 by 12.\nAnswer: 377\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (329\/94)\/(42\/(-40)*(-8)\/12).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 13 = -2*r - 1, 3*r - 22 = -5*t. Let x = r + -2. What are the prime factors of (3 + -2)*(1 + x)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 169778905 divided by 905?\nAnswer: 187601","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3 + -25003114?\nAnswer: -25003111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 75201.65ml?\nAnswer: 75.20165","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = r**2 + 12*r + 2. Let x be d(-12). Let y(f) be the first derivative of 1 + 1\/2*f**x + f. Give y(-5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -1140, -1140, -1138, -1134, -1128, -1120?\n\"Answer: m**2 - 3*m - 1138","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 5014 a multiple of 46?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 17750 or 35\/3?\nAnswer: 17750","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 116312197?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2047067946?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -2143213, -4286454, -6429687, -8572906, -10716105, -12859278?\n\"Answer: q**3 - 2*q**2 - 2143242*q + 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 2*s - 2. Let g be q(0). Let r be g\/8*-17*4. Suppose 2*z = -3*n - 0*z + 418, -5*n - 4*z = -700. What is the highest common factor of n and r?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 14, 4, -3\/4, -47\/9 in decreasing order.\nAnswer: 14, 4, -3\/4, -47\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -155*t + 5. Let q be s(0). Let y(w) = w + 1. Let f be y(15). Let o be ((-6)\/(-8))\/(6\/f). Solve 0 - 4 = 3*j + q*i, i = o*j - 6 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -779053, -779049, -779043, -779035, -779025?\nAnswer: -779013","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1283761 and 12118.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 196 divide 161689726?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/31 in -5, -2.9, 5, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 5*d + 1. Let t be m(1). Let w be 6\/12 + (-11)\/(-2). Suppose 3*l - l - w = 0. Solve -l*f = 3 + t for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 13 - 18. Let i(q) = -3*q - 2. What is the units digit of i(a)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*p + 6*p**2 + 13*p**2 - 9*p**2 + 9*p**2 + 6*p**2.\nAnswer: 25*p**2 + 3*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 222025330 - -24?\nAnswer: 222025354","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = f**2 + 3*f + 2. Let m = -10 + 7. Let q = 1 + m. What is y(q)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.32 rounded to the nearest 10?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = o + 2*o - 33. Suppose 2 = -12*a + o*a. Let p(g) = g**3 + 2*g**2 + 2*g + 1. Calculate p(a).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hlldlillhhid. Give prob of sequence lhhi.\nAnswer: 1\/198","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sum -30.274126 and 16107.\nAnswer: 16076.725874","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 24 - 8. Let b(n) = -7*n**2 + 167*n + 48. Let d be b(24). What is the highest common factor of o and d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (26\/(-4))\/((-7670)\/1180)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2477453?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 124 (b) -27 (c) -4 (d) -3\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -62*p + 63*p = 2*w - 376, 5*p = -3*w + 525. Calculate the lowest common multiple of 5 and w.\nAnswer: 185","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -284 + -214. Let h = -222 - w. List the prime factors of h.\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that 3*b**2 - 9183*b + 3233790 = 0.\nAnswer: 406, 2655","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) be the second derivative of -7*a**4\/6 - 7*a**3\/3 + 291*a**2\/2 + 2*a. Let b(w) = -5*w**2 - 5*w + 97. Let i(z) = -11*b(z) + 4*t(z). Is i(0) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -148*f + 3714. Let b be z(25). What is the greatest common divisor of 4354 and b?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-14)\/4 - (-5)\/(-10). Let t be (2\/f)\/((-1)\/32). Let z = -17 + t. Are -2 and z equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/15*((-507)\/1183)\/((-8)\/42).\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -1. Let b(t) = 1 + 2*t + 4 - 3 - 5. Let h(g) = b(g) - 4*j(g). What is h(-1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3358 and 2281542?\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 6621262?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -5 + (-3 - 25\/(-10))*(-2847)\/292\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: 4 + -9 + 3 + 3\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(243) - ((sqrt(243) + -1 + 3 + sqrt(243))**2 - sqrt(243) - sqrt(243))) + -3 + sqrt(243)*-2 + sqrt(243) + -5.\nAnswer: -984 - 54*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = j - 28, 27 = -5*i + 2. Let r(q) be the second derivative of 1\/6*q**j + 0 + 0*q**2 - 3*q. Let v(b) = -b**2. What is r(v(o))?\nAnswer: -o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 2802285822?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4 + 20. Let g = 47 - i. List the prime factors of g.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 5\/4, 4, 1\/10, -6?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -i**2 - 2*i. Let x(p) = -4*p**2 - 6*p + 1. Calculate 7*w(q) - 2*x(q).\nAnswer: q**2 - 2*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(-5)\/k*k**(-2\/3)*k*k**(-2)*k*k**(-4\/5)*k\/(k\/(k\/(k\/k**(-1\/6))))*k*(k\/(k\/(k*k**(1\/5))))\/k*((k\/(k**(-5)*k*k*k))\/k)\/k**3 assuming k is positive.\nAnswer: k**(-223\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7763 - 7762.7. What is the nearest to -2\/3 in j, 70, 3?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -633.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven halves of a litre in millilitres?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 9*d. Let m(b) = 26*b. Let k(c) = -14*l(c) + 5*m(c). Let a(u) = u - 1. Let z(s) = 3*a(s) - k(s). Let w be z(-5). Sort 3, w, 4.\nAnswer: w, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 160*q + 3952 = -131*q - 128*q + 267*q for q.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Solve 21*h - 25*h - 91*z = -530, 4*z = 24 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 2*q - 0. Suppose 3*r + q*b - 18 = 0, -3 = -2*b + 3*b. What are the prime factors of r?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45 + 1468 - 67 = 241*z for z.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) be the third derivative of -x**5\/30 - 37*x**4\/12 + 38*x**3\/3 + 34*x**2 - 8. Factor i(j).\nAnswer: -2*(j - 1)*(j + 38)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 494.9*-0.1\nAnswer: -49.49","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*sqrt(216)\/sqrt(12).\nAnswer: 12*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.7 and -231.\nAnswer: 161.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 27 = -n - 4*r, -4*n + 2*r = -6. Let a(i) = -i - 4. Let g be a(-6). Solve w + n*s = 16 - 6, -5*w = -g*s + 35 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 96069 a multiple of 186?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*f - 0*f. Suppose 5*w - 35 - 10 = f. Suppose 0 = 2*h + h - w. Solve -2*r - 9 = -h for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1934599797?\nAnswer: 3, 13, 37, 446893","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 182 and 16142?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -17*g**2 - 27*g + 9. Determine t(-2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -2\/136203?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is (-38)\/(-152) + 383\/4 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 16.094 + -9153.094. Let i = g - -9082.054. Let y = 55 + i. Round y to 2 decimal places.\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 17 + (0 - 23) + -11\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 4\/36*3*3\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 10 - 12. Suppose a + 4*i - 14 = 28, 3*i = a - 35. Calculate the remainder when a is divided by (p\/5)\/((-8)\/200).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 30121126?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 32 divided by 9608\nAnswer: 4\/1201","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 29 + -16. Calculate the highest common factor of 13 and o.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:33 AM and 10:01 PM?\nAnswer: 628","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 587647 and 398.\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(3 + (-3 + sqrt(2) + sqrt(72) - sqrt(2)))**2.\nAnswer: -360","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 45 (b) 0.2 (c) 5 (d) 9\/178\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -59*p - 10. Let x be i(-18). Let h = -708 + x. Is h a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 371897 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -22 - -13. Let z = n - -27. Suppose 2*y - 4*r = 135 - 49, -3*r = -3. Calculate the highest common factor of y and z.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 minutes before 12:08 AM?\nAnswer: 12:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1455688 is divided by 603.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 159013 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -4782 (base 10) to base 2\nAnswer: -1001010101110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -124409145*o**2 + 373227439*o**2 - 4*o + 3*o - 124409143*o**2 + o - 124409149*o**2.\nAnswer: 2*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -62 - 234*m - 66*m - 214*m + 124*m wrt m.\nAnswer: -390","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8333243521 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 5.7, -508, -3, 6, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = 19 - 379. Suppose -3*o - 3 + u = 0. Does 21 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16756 = -w + 3*w. Let y = -83901\/10 + w. What is the common denominator of (-4)\/(72\/219) - -4 and y?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7308736?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 25563 + -25567. Let q be (-2)\/6 + 1\/21. Which is the closest to 0.1? (a) q (b) v (c) -27 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23\/9127 at most as big as -2\/33?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -5*l - 3. Give g(3).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -9521\/1166 - 2\/1749. What is the common denominator of t and -23\/21?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -253 + -12?\nAnswer: -265","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 232*c - 233*c - 71 + 535 as f*c + z and give z.\nAnswer: 464","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2340, -9415, -21260, -37881, -59284, -85475, -116460?\nAnswer: -152245","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 11 - -8. Suppose 2*n - 67 = -z. Is 8 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 156*f**2 + 6*f + 4. Let w(u) = -3*u**2 - u - 1. Calculate 12*w(p) + 2*y(p).\nAnswer: 276*p**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fw when two letters picked without replacement from {f: 2, w: 1}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -359*h**2 + 179*h + 82*h**2 - 24*h**2.\nAnswer: -301*h**2 + 179*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 62*j**2 + 14*j + 164. Does 25 divide y(7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 62 a factor of 9183?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 346979229 to the power of 1\/3, to the nearest integer?\nAnswer: 703","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-10718)\/(-345) + -31)\/(2*2*(-4)\/(-100))?\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 327\/7 + -1628\/35. What is the closest to 0 in -7, -0.5, x, 2?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q**2 + 1537 + 463 - 630 - 174*q + 674 + 6*q**2 = 0 for q.\nAnswer: 14, 73","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 + -1 + (1 + 23 - 24)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-b**3 - 3*b**3 - 5*b**2 + 7*b**2)*(0 - 1 - 1)*(7 + 4 - 9)*(-9*b - 7*b + 10*b).\nAnswer: -96*b**4 + 48*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 14 and 262.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1612839 by 591.\nAnswer: -2729","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = l**2 - 1. Let j be n(1). Let c(p) = j*p + 3*p + 4*p. Let d(g) = 3335*g**2 - 1669*g**2 - 1664*g**2. Give c(d(s)).\nAnswer: 14*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 41 a factor of 14723?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 515942.2ml to litres.\nAnswer: 515.9422","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/(a\/(a*a**(1\/2)))*a*a)**(-45)\/(a**1)**(-49)*((a**0\/a)\/a**(-2\/13))**(-2\/27) assuming a is positive.\nAnswer: a**(-76123\/702)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*q - 190*f + 188*f - 42 = -2*q, 0 = -5*f - 110 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (14\/12)\/(7 + -25*55\/198). Solve 5*f - 3*g + 19 = 0, -3*f - 12*g = -17*g + p for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -149 + 183. List the prime factors of k.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 3\/8 of a hour?\nAnswer: 1350","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(187) + sqrt(187)*-5*-3 + sqrt(187))\/(sqrt(11) - (sqrt(110)\/sqrt(10) - sqrt(11))*6).\nAnswer: 17*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) be the third derivative of -7\/120*s**6 + 7\/12*s**5 - s + 0 + 8*s**2 + 0*s**3 + 0*s**4 - 2\/105*s**7. Find the third derivative of t(w) wrt w.\nAnswer: -96*w - 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-96 + 25 - -43) + -2.\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 3*m**2 - 7*m + 6. Let i be v(1). Calculate the greatest common factor of i and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 527367?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -19\/40710 and 39\/35.\nAnswer: 284970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1725*g + 378717 = 1728*g. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = u**2 + 237*u - 1201. Let c be s(5). Let r = -29 - -32. Calculate the greatest common factor of r and c.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3702 = -27*l + 6342. Suppose 0 = -2*j - 3*q + 371, 3*j - l = 5*q + 137. Does 17 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -2*s**2 + 6*s + 4. Let n(x) = x**2 + x + 1. Let d(q) = -3*n(q) - z(q). Let t = -61 - -66. Suppose 40 = -5*b - t. Determine d(b).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 3*s**3 + 7*s**2 + 25*s - 29. Let k(l) = -l**3 - 2*l**2 - 8*l + 8. What is 2*h(a) + 7*k(a)?\nAnswer: -a**3 - 6*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh smallest value in -1, -3\/11, 0.1, -116, 4\/17, -2\/3, 1\/5?\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4671235095 to the nearest integer?\nAnswer: 1672","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 8, t: 2, f: 2, x: 2}. Give prob of picking 4 a.\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (38\/(-4)*(-552)\/(-414))\/(2*(-8)\/(-12)).\nAnswer: -19\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-49)\/21*((-1)\/3)\/((-2)\/(-18)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 3013, -434, -1, 1.\nAnswer: -434, -1, 1, 3, 3013","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.3 in -1, 20.6, 0, -4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mbbb when four letters picked without replacement from {b: 7, m: 3}?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -183*v + 2005 - 170 - 188 for v.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/(t*t*t**(4\/5)*t)*t**(-2\/3)*t*t*t**(2\/11)*t*t*t*t*t**(6\/11)*t*t)**(-44) assuming t is positive.\nAnswer: t**(-3472\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 410820 and 167?\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 719 minutes after 7:17 AM?\nAnswer: 7:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2247?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 72*x - 40*x - 4256 = 0. Calculate the remainder when x is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 206a801 (base 11) in base 16?\nAnswer: 379f3f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -261*k + 109*k + 151*k.\nAnswer: -k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 24 (base 6) to base 12.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 372781?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1219 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -200155722 + 377869827. Let b = v + -177714302.000681. Let g = b + 197. What is g rounded to four decimal places?\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*f**5 - 1286*f**4\/5 - 12428*f**3\/5 - 8976*f**2 - 53312*f\/5 + 7936\/5 = 0. Calculate f.\nAnswer: -31, -4, 2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lt when two letters picked without replacement from {t: 3, l: 9}?\nAnswer: 9\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 980 + -515. Suppose 2*s - 3*s = 2*r - 163, 0 = -3*s + 2*r + p. Let k = s + 12. What are the prime factors of k?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = -0*d - 4*q, -35 = 5*d - 5*q. Let v = d + 7. Let x be -1 + 2*v\/(-6). Let r(c) = c**3 + c**2 - 1. Determine r(x).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 10081922?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(-6)*225\/(-25)\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.2 and 2103825?\nAnswer: -420765","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 3*v - 2. Let w = -763 + 762. Let y(x) = -x + 1. What is w*s(p) - 5*y(p)?\nAnswer: 2*p - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k**1*k*k)\/k)**45\/((k*k**(2\/3))\/(((k\/k**(-1))\/k)\/k)))**(-21) assuming k is positive.\nAnswer: k**(-1855)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 64 divided by -2203?\nAnswer: -64\/2203","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out -17524.4533925 - -0.5.\nAnswer: -17523.9533925","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19 - 4 - (-1008 + 1013).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 15066198?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 313599 and 99957.\nAnswer: 429","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m*(m\/(m*m*m\/m**1)*m)\/m)\/m)\/m)**(-48)*m**6\/m**1*(m\/(m*m*m**0*m))\/(m*m*m*m\/m**4*m)*(m**0)**(3\/25) assuming m is positive.\nAnswer: m**98","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 25*g**3 + 2*g**4 - g + 4*g**3 - 45*g**3 + 2*g - g**2 - 1 + 19*g**3 to the form h + k*g**2 + p*g**4 + r*g**3 + m*g and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 380565 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 62 and 2294?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 653, 573, 493?\nAnswer: 413","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 17 + -13. Suppose -r - 8 = -3*u. Suppose -4*a = -4*z - 164, 5*a - 3*a + u*z = 64. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(77) + sqrt(77)*2)\/sqrt(7) + -3 + sqrt(55)\/sqrt(5).\nAnswer: -3 + 4*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 3 + 0)*(1 - 2 - 2)*((2 - 2 - a)*(-4 - 6 + 0) - 7*a + a + 2*a)*(2*a - 2*a - a**4).\nAnswer: 90*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 8 + -61eb6?\nAnswer: -61ead","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25341 is divided by 2615.\nAnswer: 1806","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 438750\/(-7150) + 630\/99.\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 214 + 50 = -66*p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1009 - 1028. What is the smallest value in -4, -13, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -22856183 and -552161?\nAnswer: 22304022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -1294*y + 2405. Let z be b(2). Is z not equal to -24?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -10.4 - -10. Let v = -0.21 - -10.21. Let g = -9.5 + v. Which is the biggest value? (a) 3\/4 (b) z (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 81474043?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 623 minutes after 12:14 AM?\nAnswer: 10:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12*(-1)\/2 + 258\/42.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41589873 a multiple of 1119?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.25855024998 - 85360.45848224998. Let t = -85360 - w. Let f = t + -0.2. Round f to five dps.\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -226450 to the nearest one hundred thousand.\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five sevenths of a week in minutes?\nAnswer: 36000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 34027 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 3 (b) 12 (c) -40 (d) 934 (e) -0.5 (f) 0.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -10328*x**2. Let r(f) = -7*f**2. Calculate r(a(y)).\nAnswer: -746673088*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is w in -16\/5 - 40*w**5 + 8*w - 110*w**4 - 218\/5*w**3 + 188\/5*w**2 = 0?\nAnswer: -2, -1, -2\/5, 1\/4, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 - 31 - (13 - -5).\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1567940, -3135880, -4703820, -6271760?\nAnswer: -7839700","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/(-484)*((9 - 0) + 9176\/(-888)).\nAnswer: -2\/121","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 40343043 (base 5) to base 9\nAnswer: 544448","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*l + 4*l + 0*l)*(4*l - 2*l - 4*l) + (-2*l - l + 2*l)*(-158*l + 24*l + 8*l).\nAnswer: 124*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -15.8 + 14. Let v = r + 0.8. Which is the smallest value? (a) v (b) 0.3 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/3 (b) -6\/13 (c) 1028347\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 10949119?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*s = 7*s + 24. Solve 10*b - s*b = 8 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -23\/14012 and -109\/28?\nAnswer: 98084","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -5331 + 5?\nAnswer: -5322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 196 divide 19706101?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1, -13\/4, 0.5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.4 in 0.1, -2\/35, -2?\nAnswer: -2\/35","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (-27473)\/(-54615) - 14\/22\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i - 422 = 3*k, -k - 4*i = 95 + 34. Let u = k + 137. Is u less than -12?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 3*x = -2*x - 21, -5*x + 15 = -2*z. Let c be (-7)\/(-5) + 2\/z. Which is greater: c or 3\/4?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, -3, -4, 1 in decreasing order.\nAnswer: 6, 1, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -6296, -6359, -6422?\n\"Answer: -63*j - 6233","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -175*g**3 + 35. Let t(w) be the third derivative of 29*w**6\/120 - w**3 + 2143*w**2. Determine 35*t(c) + 6*x(c).\nAnswer: -35*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*u = -7 + 13. What is the tens digit of (244 - -1)\/(2 + u)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -25 - -25. Let u be 6\/2 + (-6 - -7). Suppose 5*m + 43 = -4*a + 16, 0 = -u*m + 3*a - 3. Put m, -0.2, b in descending order.\nAnswer: b, -0.2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in -1\/3, 4, 5, -2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5\/(((-165)\/572)\/((-10)\/((-220)\/33))).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1324361 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = 5*h - 9*b + 4*b, 2*b = -4*h. What is the smallest common multiple of h and 7?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000026793508 rounded to 7 dps?\nAnswer: -0.0000027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.5 + -0.3. Let p = x - 0.6. Let d = p + 0.3999999. Round d to 7 dps.\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -42*z + 54. Let y be q(-5). Let n = 952 - y. Is n a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 324958 and 573862.\nAnswer: 26971514","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -135124 (base 12) to base 2\nAnswer: -1001110000101101100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/3)\/(6207\/2309004).\nAnswer: 124","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 3, f: 3, w: 5}. What is prob of sequence fwfm?\nAnswer: 1\/88","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 4, n: 3, o: 6, h: 1, v: 2, g: 3}. Give prob of sequence og.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 598 - 591. Solve 18*x + 55 = o*x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -97*t - 12. Let g be b(7). Let k = 1080 + g. Let h(n) = 389 - 11*n - k. Let a(u) = -3*u**2. Give a(h(q)).\nAnswer: -363*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m, 1 q, 1 y, and 1 k when four letters picked without replacement from kkmkmkmqyaak.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*v**2 - 2*v**2 + 2*v**2 + (v + 2*v - 4*v)*(0*v + 2*v - 3*v) - 5*v + 5*v + 6*v**2 + (v + 4*v - 4*v)*(2*v - 7*v + 3*v) as x*v**2 + a + j*v and give x.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 476549?\nAnswer: 229, 2081","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) be the third derivative of 77*i**6\/360 + 19*i**5\/60 - 4*i**4\/9 - 2*i**3\/3 - 86*i**2. Determine v, given that r(v) = 0.\nAnswer: -1, -2\/7, 6\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*i**2 + 138*i - 53*i - 38*i - 38*i + 17 to the form j*i + f + l*i**2 and give f.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 582 minutes after 7:26 AM?\nAnswer: 5:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 662 minutes after 3:11 AM?\nAnswer: 2:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.1 - -1.1. Let h = -1 + g. Let n be 0 + 2*(-2)\/4. Which is the nearest to 0? (a) -0.4 (b) h (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*b + 6*b + 3*b + (-1 + 1 - 1)*(119 + 127 - 2*b - 306) as v + k*b and give k.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*g**5 + g**5 - 5*g**5 - 19*g**3 + 19*g**3 - 19*g**5 + 21*g**2 - 21*g**2 - 3*g**5 + (-g - g**2 + g)*(4*g**3 - g**3 - 2*g**3).\nAnswer: -25*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 2 - 1)*(-514 + 255*j**2 + 514).\nAnswer: 1275*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 13.3347 + -13.3. What is u rounded to three decimal places?\nAnswer: 0.035","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is g in -2*g**2\/9 - 533572*g\/9 - 533570\/9 = 0?\nAnswer: -266785, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qqk when three letters picked without replacement from kkqkkqqkkqqqqkkk?\nAnswer: 9\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 2*q - 5*w, 3*w + 10 = 1. Let d = 0 - -1. Let x = 0.5 - d. What is the second smallest value in q, 2, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y + 4*n - 9 = -4*y, 0 = 3*y - 4*n + 19 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = f**2 + 263. Let k(a) = 3*a**2 - 10. Let u(g) = -10*g**2 + 32. Let y(c) = 16*k(c) + 5*u(c). Determine d(y(r)).\nAnswer: 4*r**4 + 263","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.338156 - -0.648175. Let s = x - 0.31. What is s rounded to 5 dps?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(2 + sqrt(847)) + -1*(sqrt(847) + -2))**2 + -3 + sqrt(847) + 4 + 3.\nAnswer: 1067*sqrt(7) + 13700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ff when two letters picked without replacement from fklttifift?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -42*(-343)\/9450 - 8\/18 and 41.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 + (13 - 3))\/((-3)\/(18\/6))?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -4683*v - 130480. Determine k(-28).\nAnswer: 644","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -2*m + 5. Suppose -d = -3*w + m*d + 57, 3*d = -5*w + 103. What is the highest common factor of 20 and w?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = -5*r + 6. Suppose 74 = r*a + 5*b, 4 = -2*a + 2*b + 48. What is the remainder when 7920\/184 + (-30)\/690 is divided by a?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3489912 and 2996.\nAnswer: 428","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 39.6 or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 2*g**3 + 6*g**2 - g + 4. Let m(o) = -o**3 - 5*o**2 - 3. Give -3*a(z) - 4*m(z).\nAnswer: -2*z**3 + 2*z**2 + 3*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 9*14\/63*(-7627)\/(-526)?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5)\/(-5)*1*-2?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 310 and 62.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 8 = 8*b. Suppose -b*h = -5*h + 447. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -93*(8\/(-6) + 0). Let r = w + -89. List the prime factors of (-116)\/(-10) - (-14)\/r.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = r - 3 + 6. Let b = 723.25 - 736. Let s = b - -6.75. Which is smaller: s or r?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -7050 + 7050.33105. Let z = -0.067 + 0.397. Let b = y - z. What is b rounded to four decimal places?\nAnswer: 0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + f - 3 = 0, -f + 3 = 8. Let l(b) = -8*b**2 - 10*b + 11. Let g(s) = 23*s**2 + 29*s - 32. Let j(a) = 6*g(a) + 17*l(a). Determine j(q).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-5)\/35 - (-1 + 15\/(-7)). Let s be (q + 10\/(-6))*111. Let v = s - 70. Is v a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -y**3 + 11*y**2 - 6*y + 5. Let f be v(10). Suppose -2*x = -u - f, -2*x + 2*u = -0*x - 44. What is the tens digit of 2\/4*(x - 1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 46*q - 19 + 102*q + 44*q + 20 - 200*q.\nAnswer: -8*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 53792, 107631, 161496, 215399, 269352, 323367?\n\"Answer: 2*j**3 + j**2 + 53822*j - 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -1036, -3997, -8924, -15811, -24652, -35441, -48172, -62839?\n\"Answer: j**3 - 989*j**2 - j - 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 21, -1, 27, -68, 1, 3, -10 in increasing order.\nAnswer: -68, -10, -1, 1, 3, 21, 27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - w = 32, 5*w - 69 = 3*j - 5. Let v = j - -72. Suppose 0*p = p + 2*y - 12, -5*y - 24 = -2*p. What is the remainder when v is divided by p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 - 5652*n - 3 - 2 + 6212*n + 3 + 6.\nAnswer: 560*n + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 76 + -85. Is 0\/(1\/(-1)) + (-5 - x) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24745*g**3 + 40611*g**3 - 15887*g**3.\nAnswer: -21*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14\/15 + (-4)\/12?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.88158 - 78.07142. Let f = z - -79. Let a = f - -0.353. What is the nearest to 1\/3 in 2\/3, a, -0.3?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*l - 6, -209 = 2*p - l - 222 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 3*h + 17. Let d(b) = b + 8. Let w(z) = 5*d(z) - 2*u(z). What is the derivative of w(x) wrt x?\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7619659.1*1\nAnswer: -7619659.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 51 and 1581?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.0257 + 336.0257. Let j = s - 335.622. Round j to two decimal places.\nAnswer: 0.38","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 309*n - 60*n + 551*n + 39379 - 113779 = 0 for n.\nAnswer: 93","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -274, -2, 7, 14, 2, 3.\nAnswer: -274, -2, 2, 3, 7, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -9*d**3 - 5*d + 5. Let q(n) = 4*n**3 + 2*n - 2. Let s be 0\/1 + (6 - 1). What is s*q(o) + 2*k(o)?\nAnswer: 2*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 54\/4*8\/(-12). Let m = w - -14. Solve 3 = n - l, 3*n = -0*n - m*l - 7 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 141031 is divided by 106?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8375, -8373, -8371, -8369, -8367, -8365?\nAnswer: -8363","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 670841?\nAnswer: 23, 29167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 430 - 854. Let d = k + 138. What is the smallest common multiple of 18 and d\/(-16) + 4\/32?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in ten thirds of a hour?\nAnswer: 12000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.3*-137.\nAnswer: -41.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -299*z - 7035 + 12118 = 0 for z.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2560 = -0*y + 5*y. What are the prime factors of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2392 and 1330576.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 43796 = -36?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (62\/(-31))\/(4\/(-6)) - -6. Let y(a) = -15*a + 165. What is the units digit of y(h)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 5*q + 5 = 0, 5*q + 15 = 3*x - 20. What is the highest common factor of 110 and x?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(192) + -1 + -2 + -4)**2 + (0 + (sqrt(192) + 1)**2)*1)*1*-6.\nAnswer: -2604 + 576*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = 10 + 3. Let i = -14 - z. Let g = 2 + -5. Which is smaller: i or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -11*c - 151. Let n be x(-32). Let v(u) = -399*u + n*u + 201*u. Let r(i) = 6*i**2 - 6. What is v(r(g))?\nAnswer: 18*g**2 - 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 37 + -37. Let k(a) = -a**2 - 7*a - 3. Let w be k(-6). Suppose 0 = -11*j + w + 52. Solve g - j*g = b for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -g**3 - 9*g**2 + 2*g + 4. What is w(-10)?\nAnswer: 84","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) be the first derivative of -1423*l**5\/5 + 230*l**2 + 2594. Find the second derivative of u(j) wrt j.\nAnswer: -17076*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 478.6657077 rounded to two dps?\nAnswer: 478.67","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = -2 - 2. Let s be 43 + c + 0\/3. Suppose 0*i + s = 3*i. What is the units digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -31 (b) -1\/7 (c) 140 (d) -5\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five quarters of a meter in centimeters?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -97 - 263082*a**3 + 97.\nAnswer: -263082*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvovoovvvovvovvv. What is prob of sequence vv?\nAnswer: 11\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) be the third derivative of -g**6\/24 + 7*g**4\/24 - 2*g**2. Find the second derivative of i(h) wrt h.\nAnswer: -30*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -848.3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of n**2*v**5 + 40*n**2*v - 9*n**2 - 51*n*v + 185*n + 466619722*v**5 wrt v.\nAnswer: 20*n**2*v**3 + 9332394440*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-23 - 3624\/(-48))\/(90\/(126\/7))?\nAnswer: 21\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -10*2\/(-8)*-2 + 8. Solve l + 0*v - v = 0, -h*l + 2*v = 0 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q, 1 a, and 1 d when four letters picked without replacement from {d: 1, a: 3, q: 13}?\nAnswer: 117\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -22 (b) -1 (c) -7\/24 (d) -13 (e) 4\/7 (f) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 16 = -52. Calculate the lowest common multiple of d and 1 + -8 + 975\/39.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2876 + 6590. What is the hundreds digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -0.65, -24\/5, 0.2, 4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -460, -0.11, -3.\nAnswer: -460, -3, -0.11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) -2\/3 (b) 15\/74 (c) -1639\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 130645808 divided by -168358?\nAnswer: -776","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve c + 2 + 0 = 0 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -a**4 - 2*a**2 + 46*a + 36*a + 2 - 77*a - 13*a**3 + 2*a**3 as z + h*a + d*a**4 + b*a**3 + w*a**2 and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 158\/653, 23\/4, 2\/17 in ascending order.\nAnswer: 2\/17, 158\/653, 23\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 14813 - 9558. Calculate the highest common divisor of 10 and v.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 120 + -571?\nAnswer: -451","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = -k + 60, -3*i + 2*k + 3*k + 36 = 0. Let p = 223 - 218. Suppose 2*c = -p - 1, 4*c + 540 = 4*m. What is the highest common divisor of m and i?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4240*h**3 - 4241*h**3 - 3 + 3 + 8473*h**3.\nAnswer: -8*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2345 + 3799*c**2 + 2201 - 2352 - 631 wrt c.\nAnswer: 7598*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -31 - 27*t**3 - 15 + 8 with respect to t.\nAnswer: -81*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16784218331 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1 + 3. Is l\/10 + 2506\/10 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 1, z: 5, g: 1, q: 2}. What is prob of picking 2 q and 1 t?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-one fifths of a milligram in micrograms?\nAnswer: 10200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + -2*sqrt(4)\/sqrt(2))**2.\nAnswer: 20*sqrt(2) + 33","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h - 5 = -14 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*g + 2*u - u - 32, 3*g - 11 = -4*u. Suppose -2*f - o = -f - 5, 3*f - 3*o = g. Calculate the highest common divisor of f and 44.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 + 8*g**2 - 8*g + 0 - 1 + 1 - 13*g**2 as c*g**2 + i*g + m and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: ((-5)\/(-5))\/((-3)\/(-15))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = -2*p + 8, -m + 1 + 0 = 0. Suppose -3*k = 4*z - 5, 0 = -p*z + 6*z - 5*k - 11. Suppose -g = 3, j = z*j - 5*g - 27. Round j to the nearest ten.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 44315a5 (base 11) to base 6.\nAnswer: 434401542","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1102111 - 11?\nAnswer: 1102100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 2*w**3 + 11*w**2 - 2. Let c(b) = -61*b**2 - 22*b - 60. Let g(l) = 11*l**2 + 4*l + 11. Let t(n) = -2*c(n) - 11*g(n). Calculate j(y) - 2*t(y).\nAnswer: 2*y**3 + 9*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 36573?\nAnswer: 3, 73, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 36325 (base 9) to base 14.\nAnswer: 8c15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 27.6 + 224.55.\nAnswer: 252.15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 0 - 2*j + 5 - 2. Let z(m) = -1. Let y(a) = q(a) + 3*z(a). Let c(w) = 1. Let d(h) = -h**2 - 1. Let f(i) = -c(i) - d(i). Give f(y(b)).\nAnswer: 4*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -y. Let u(r) be the first derivative of -117*r**2\/2 - 3*r + 730. Determine u(v(l)).\nAnswer: 117*l - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ofhffhhyffhyyyfofffo. Give prob of picking 1 f and 2 o.\nAnswer: 9\/380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (22 - 17 - (-2 - -2))*(-1 + 2). Let t(w) = w - 29. Let u be t(29). Solve u*p + p + m*z = -13, -p = -5*z - 7 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = q**2 - 16*q + 42. Let p = 453 + -441. Give h(p).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 13*i**2 + 3*i - 6. Let o(k) = 69*k**2 + 16*k - 32. Let a(q) = 16*d(q) - 3*o(q). Let x(v) = -1509*v - 5. Calculate x(a(r)).\nAnswer: -1509*r**2 - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -94 + (-1465 + 1476 - ((-5)\/(-30))\/((-2)\/(-12)))?\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 819 and 9059883?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 1, -3, -1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 1949*k + 508. Let q be g(8). What is q rounded to the nearest ten thousand?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4822 = 27*z - 4525 for z.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -72749*o**2*r**2 - 57060*o**2*r + 2*o**2 wrt r.\nAnswer: -145498*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -61525, -61485, -61445?\nAnswer: -61405","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = d. Let y(z) = -8*z. Let q = -530 + 531. Give q*y(p) + 10*u(p).\nAnswer: 2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2222358 is divided by 1403.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8006, -16014, -24022?\nAnswer: -32030","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 0 + (-6 - -4 - (8 + -3)) + 1\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 12 = 3*i + 2*b, -12 = 4*i - 4*b. Suppose -k = 4, -5*a - 5*k + 9 + 16 = i. Let f(p) = p**3 - 10*p**2 + 12*p - 5. Is 8 a factor of f(a)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 19 = 2*i + 5, -36 = 4*l - 3*i. Let j be 1157\/169 - (-6)\/39. Let b = l + j. Solve -6 = g - b for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -10*v**4 + 8*v**2 - 5*v - 6420.\nAnswer: -40*v**3 + 16*v - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -17349 - -0.06\nAnswer: -17348.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4b30a50 - -2?\nAnswer: -4b30a4e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 19\/4 of a gram in milligrams?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 501763*i = 501831*i - 3196 for i.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 12287?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, a: 1, t: 2, o: 1, i: 2, q: 1}. What is prob of picking 1 o and 1 d?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -11*p**4 - 75*p**2 + 3339*p?\nAnswer: -132*p**2 - 150","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 6 = -4*j, 3*j + 5*c = 4 + 6. Let l(y) be the third derivative of 0*y + 4\/3*y**3 - 1\/2*y**4 + j - 9*y**2 + 1\/15*y**5. Factor l(d).\nAnswer: 4*(d - 2)*(d - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1951496 and 332?\nAnswer: 332","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -19791 - -1979127\/100. Let f(n) be the second derivative of -n**2 + 1\/30*n**6 - 9\/10*n**3 + 1\/12*n**4 - 16*n + 0 + h*n**5. Find k, given that f(k) = 0.\nAnswer: -5, -1, -2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 82*c**3 - 16*c**2 + 15*c + 45. Does 21 divide l(6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - (-15 - (-7 + 4 + 2)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 31\/(1860\/144)*5\/2*34\/(-51)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -8.5181311 rounded to two dps?\nAnswer: -8.52","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(96)\/sqrt(200))\/sqrt(4).\nAnswer: sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Do -288\/7 and -40 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 323095?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -5*h - 2. Let m be o(-2). Suppose 4*c - 8 = -4. Calculate the highest common factor of c and m.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 18 - -2. What is the remainder when 38 is divided by b?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = 21 + 6. Is -9 >= q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 k when three letters picked without replacement from {w: 5, k: 7}?\nAnswer: 7\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -15 + 13. Let t(z) = -4*z - 2. Determine t(n).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 22270283, 22270276, 22270269, 22270262, 22270255, 22270248?\n\"Answer: -7*n + 22270290","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -2 - 2 - (-4 - (0 - 2))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 7*g**4 + 3*g**3 + 55*g*j**2 - 2813*j**2 + 4 wrt g.\nAnswer: 28*g**3 + 9*g**2 + 55*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m when two letters picked without replacement from {m: 2, p: 2}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 108 and 10557?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 139810?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -115 + 179. Let l = -3911 - -3919. What is the highest common divisor of l and t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + 3*l**4)*(-2*l + l + 2*l + (-3 + 0 + 5)*(3*l - 2*l + 0*l) - 4 + 3*l + 4 - 3 + 3 + 2*l).\nAnswer: 24*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -354 (base 7) in base 9?\nAnswer: -226","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence txxx when four letters picked without replacement from txhthtttxx?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*p**2\/2 - 45282618*p - 341752582155654.\nAnswer: -3*(p + 15094206)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Are 47558 and 47557 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 172942 + -0.5.\nAnswer: 172941.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0\/(3\/(6\/4)). Suppose 2*v = 4*o + 34, -4*o - 4 + 0 = k. Solve 0*n - 5*n - v = 0 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) be the second derivative of -j**4\/6 + 544*j. Let p(a) = -1881*a. Give l(p(t)).\nAnswer: -7076322*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: ((-63)\/(-9))\/7*15\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 15 and 31665.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1.35368 + 1.36. What is i rounded to 4 decimal places?\nAnswer: 0.0063","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 258 a factor of 13158?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -27.192 times 12?\nAnswer: -326.304","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11500603.\nAnswer: 11500603","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -1.05 (b) -1\/27 (c) 5 (d) 0.06\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 137*l - 369559 = -372436 for l.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.077 + 130.077. Let j = -129 + x. Is -2\/163 at least j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) be the first derivative of -69 - 63\/4*l**4 + 0*l**3 - 75*l + 0*l**2. Differentiate s(n) with respect to n.\nAnswer: -189*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 5 = 2*n, 30 = 3*n + 4*d - 20. Let c be (-1)\/3 + n\/(-6). What is the units digit of -7*5\/(35\/c)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 54, 105, 166, 237?\n\"Answer: 5*r**2 + 36*r + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 5278566?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 67\/780 and 133\/17075550.\nAnswer: 443964300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -d**2 + 6*d - 2. Does 3 divide n(4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1.3 (b) 7\/5 (c) -28\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = -7*f. Suppose -3*m + 8 + 1 = f. Is (2 + 37)\/(m\/2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -63, 5, -6\/11, -1?\nAnswer: -63","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 4 + 9 + 2*y**2 - 13. Let g(t) = 3*t + 4. Give v(g(n)).\nAnswer: 18*n**2 + 48*n + 32","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = 4*c - 1, 23*c + 1 = 18*c - o. Suppose c = -z - 46 + 592. Is z a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/18 in 0, -5.5, 10, 0.3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 3*p**2 - 2*p. Let l(k) = 30*k**2 - 2*k - 30. What is i(d) - l(d)?\nAnswer: -27*d**2 + 30","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13021 is divided by 32?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -6\/289 - -5569\/3757. Let y be ((-208)\/65)\/(12\/(-270)). Let h = 311\/5 - y. What is the common denominator of b and h?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9, -4, 9, 36, 83?\nAnswer: 156","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 8833969451 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -649*c**5*u - 5*c**4*u + 15*c*u + 38*u wrt c.\nAnswer: -12980*c**3*u - 60*c**2*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -93 - -101. Calculate the lowest common multiple of n and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29 = 6*x + 31. Suppose -4*u + 53 - 1 = 0. Let z = u + x. Solve 0 = 3*c + q + 3, c - 4*q + z*q = -5 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(117) + -1) + -5 + -3*(2*(sqrt(117) + 2*sqrt(117) - sqrt(117)))**2.\nAnswer: -5618 - 9*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that 0 + 0*i**3 + 5\/2*i + 15\/4*i**2 - 5\/4*i**4 = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 147 + -203.5. Let i = 56 + g. Which is the third biggest value? (a) -3 (b) i (c) -6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1368\/73 + 55885\/3212. Find the common denominator of r and 105\/34.\nAnswer: 748","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5139749 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 4.850584 minutes?\nAnswer: 291035040000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3899977 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -143\/6882 and 61\/34410.\nAnswer: 34410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*c = 12*c - 36*c + 4800. Solve 0 = 718*x - 706*x - c for x.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 221*d + 171*d - 27*d to n + o*d and give o.\nAnswer: 365","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Add 15855744.2 and 0.08179.\nAnswer: 15855744.28179","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 348 is divided by 112?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1.01 in 15.92, 0.4, -1, -2\/3, 3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -16 - -26. Suppose -4*v = -3*h - 2*h + 29, -h + z = -5*v. Suppose -4*g = 5*f - 107, -h*f + 3*g + 104 = 6*g. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 19 - 11. Suppose -x = -10*j + 6*j. Suppose 4 = j*w - 0. Solve -5*b + w*u - 25 = 0, 2*u - 2 = 4*b + 4*u for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = -2*h + 14, -24 = -4*h + 5*k - 4*k. Let x = -11 - -17. Solve 5*i + x = -t, h*t + 6 = -4*i - 3 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4392*r - 4390*r + 2*p + 40 = 0, -4*r = 2*p + 30 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 10611 + -3787. What are the prime factors of y?\nAnswer: 2, 853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + 2*(sqrt(180) + 1) + sqrt(15)\/sqrt(1200))**2.\nAnswer: 241*sqrt(5)\/10 + 58161\/80","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1110101 + -10101111?\nAnswer: -111010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 83432, 166795, 250156, 333515, 416872, 500227?\nAnswer: 583580","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00001530999512 rounded to seven dps?\nAnswer: -0.0000153","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/6, -8, -2\/17, -0.4?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 14) in base 3?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -20 less than -2038?\nAnswer: -2018","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1822128 divided by 31416?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 575794 and 445776?\nAnswer: 13819056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 11\/(-11)*1\/(-1). Let m(i) = 32*i + 2. Let a be m(y). Factor 8*x - 4*x**2 + 17*x**3 - a*x**3 + 13*x**3 + 0*x.\nAnswer: -4*x*(x - 1)*(x + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-4)\/6 + 8\/(-6). What is the lowest common multiple of (p - -1)\/(-1 + 0) and (-2)\/6 + (-38)\/(-6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2\/7 + (-178)\/(-14)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*a**3*s**2 - 178*a**3*s + 2*a**3 + 128*a**2*s**3 - 3*a*s**3 wrt s.\nAnswer: 6*a**3 + 768*a**2*s - 18*a*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -35.927 - 0.073. Let b = 2852 + -2888.46. Let u = f - b. Round u to 1 decimal place.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -4*t + 2*z, -3*t - 5*z - 3 = -24. Suppose -37 = -x - t*w, -2*x + 0*w + 88 = -3*w. What are the prime factors of x?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ebxmeexeb. Give prob of picking 1 m and 1 b.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2267*n - 90*n + 176337 for n.\nAnswer: -81","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (89*a**2 - 84*a**2 + 348*a**2)*(-a + a + 2*a**2).\nAnswer: 706*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x**(-1)\/x)\/x)**30 assuming x is positive.\nAnswer: x**(-60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 96\/(-76)*1\/4. Let v be (6\/(-14))\/(-20*11\/(-220)). What is the third biggest value in v, 0.5, r?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 43 + -41. What is the second biggest value in 0.3, f, 3, 5\/3?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 11 + -8. Suppose -h*q + 50 = 5*u, 3*q - u = q + 42. Let p(b) = -b**3 + 20*b**2 + b - 15. Does 3 divide p(q)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-2 - 3*-28) + (3 - 0)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = h**2 - 8*h - 7. Let w be t(9). Let x(d) = -d**2 + 0 + 2*d**w + 3*d - d - 4. Calculate the common denominator of -73\/8 and x(4).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 737495.5ml to litres.\nAnswer: 737.4955","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 29\/5 of a litre?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 65, 3, 5, -4.\nAnswer: -4, 3, 5, 65","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 153780051231 - 153795215442.99846. Let n = -15164385 - p. Let r = 173 + n. What is r rounded to four dps?\nAnswer: -0.0015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 14524, 14509, 14494, 14479, 14464, 14449?\n\"Answer: -15*o + 14539","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 230587, 461124, 691661, 922198, 1152735, 1383272?\nAnswer: 1613809","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (-2*5*(sqrt(1900) - -1*sqrt(1900)*-5 - (sqrt(1900) - (sqrt(1900) + 1))*-2))**2.\nAnswer: 16000*sqrt(19) + 3040395","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 2, -8, -951, 6.\nAnswer: -951, -8, 1, 2, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -z + 3. Let m(u) = 2. Let v be 0 + (4 - (2 + 0)). Determine v*j(i) - 3*m(i).\nAnswer: -2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k, 1 u, and 1 f when four letters picked without replacement from ffaafaakkfafuaz.\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(1152)*2*-3 - (-2 + ((sqrt(1152) - (sqrt(1152) + -1)) + sqrt(1152) - sqrt(1152))))*-4*-4)**2.\nAnswer: -2654208*sqrt(2) + 382215168","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*x**2\/15 + 2*x\/15 - 4\/5.\nAnswer: 2*(x - 2)*(x + 3)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 12936 - 12881.99. What is q rounded to the nearest 10?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((sqrt(162) + -3 - sqrt(162)) + sqrt(50) + 3)**2.\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uix when three letters picked without replacement from iux.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 11\/(-12) + (-2)\/(-3). Let v = 23 - 23.2. Let j = 0.1 - v. Put x, j, 2\/5 in decreasing order.\nAnswer: 2\/5, j, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 33*q**2 - 2. Let t(k) = k**2 + 1. Calculate p(y) + 2*t(y).\nAnswer: 35*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (19*(3 + -7))\/(-4). Let y = -16 + w. Calculate the greatest common factor of 5 and y.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u**25*(u\/(u*u**8\/u))\/u)\/((u**(-24)\/u)\/((u*u\/((u**(12\/7)*u)\/u*u))\/u)) assuming u is positive.\nAnswer: u**(289\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Product of 350 and 2.\nAnswer: 700","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3715?\nAnswer: 5, 743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 988*s + 397*s + 467*s + 3245*s.\nAnswer: 5097*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38*x - 350 = -65*x + 39*x + 1122 for x.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 2, m: 1, c: 2, v: 1}. What is prob of picking 1 v and 1 m?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7981\/585 - 646\/45. Let x = -3\/65 - i. Factor -x*t**3 + 0*t + 1\/3*t**4 + 1\/3*t**2 + 0.\nAnswer: t**2*(t - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in -3, 1117126, -6\/5?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 12 + -10 - 2 - -8\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (18\/(-9))\/(14\/(-6)).\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (8 + (3 - 2))\/((-21)\/(-98)). Let i(b) = -o*b + 38*b - 2 + 2. Let y(n) be the second derivative of 3*n**3\/2 - 15*n. Determine i(y(l)).\nAnswer: -36*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 18563, 37129, 55695, 74261?\n\"Answer: 18566*j - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9\/(-3)*2\/(-9))\/((-194)\/1164).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*y = 33*y + 33*y + 10502. Is -133 greater than or equal to y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - (-3 + 1 - 0)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -16 - -8. Let w(a) = a**3 + 7*a**2 - 9*a + 4. Let p be w(x). List the prime factors of 394\/p + (-13)\/(-78).\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -3*z**3 - z**3 + z**2 - 11 + 5*z**2 + 5*z**2 - 13*z. Let k(x) = -7*x**3 - 4*x**3 - 2*x**2 - 6 - 7*x + 8*x**2 + 9*x**3. Give -6*j(v) + 11*k(v).\nAnswer: 2*v**3 + v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 130*g - 822*g + 15224 for g.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 41589 - 41588.9981889. Round j to 4 decimal places.\nAnswer: 0.0018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1396\/9 in 1, 0.07, 730?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - b = -2*b - 13, -2*q - 2*b = -10. Let s be (-2 - 3) + 126*q\/6. What is the greatest common divisor of s and 58?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -21807 by -212.\nAnswer: 21807\/212","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, 17, 5, -1, -145\/14, -2 in descending order.\nAnswer: 17, 5, -0.3, -1, -2, -145\/14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -0.61, -0.01, -2, 2, 3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-v + 0*v + 3*v)*(-2*v**3 + 2*v**2 - 2*v**2) + (5*v + 5*v + 11*v)*(-3*v**3 + 3*v**3 + 2*v**3).\nAnswer: 38*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 468483510959 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32464 = -3*k - 27592. Is 1622 at least as big as k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -72 + (2 + -8 + 1 - -13)?\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:48 AM and 4:48 PM?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 254373*o**2. Let l(w) = -2*w. What is b(l(d))?\nAnswer: 1017492*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 66291?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 23.99*2.\nAnswer: 47.98","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + -9 + (96\/(-216))\/(1\/9)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*l**2 - 449112*l.\nAnswer: 4*l*(l - 112278)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -135 - -174. Let q be 6\/39 + 189\/x. Let p(h) = 8 + 8*h - 5*h**3 - h**3 + 17*h**3 + 5*h**2. Let m(s) = 7*s**3 + 3*s**2 + 5*s + 5. Give q*p(c) - 8*m(c).\nAnswer: -c**3 + c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n = 4, -4*y + 0*n - 21 = 5*n for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:57 AM and 11:37 AM?\nAnswer: 520","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is eight thirds of a hour in minutes?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 27 (base 8) to base 6.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 57227556.\nAnswer: 2, 3, 29, 164447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -m**2 + 18*m - 42. Let a be (-1)\/(9\/2) + (-6670)\/(-2070). Let r be y(a). Solve -3*q + 1 = -8, 0 = -5*w + r*q - 29 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8 divided by -6\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 4}. What is prob of picking 3 k?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -4882.396342 rounded to the nearest integer?\nAnswer: -4882","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.5 - -1.1. Let m = s - 5.6. Put 1\/2, 3, m in ascending order.\nAnswer: m, 1\/2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one fifth of a litre?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*g**3 - 4 + g**5 - 122*g + 120*g + 3 + (-2 - g**3 + 2)*(-43 + 43 - 11*g**2).\nAnswer: 12*g**5 - 3*g**3 - 2*g - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 6\/33 + ((-300)\/33)\/(-5). Let p(o) = -o + 15. Calculate the least common multiple of p(7) and (h*(-2)\/(-12))\/(25\/1425).\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-51)\/34)\/((-36)\/16 - -3). Let y(b) be the second derivative of 2*b - 1\/12*b**4 + 0 + 0*b**3 + 1\/2*b**2. What is y(j)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*z + 3*x - 29, -51*x + 4 = -10*x - 43*x for z.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000605629 rounded to 4 dps?\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: ((-72)\/40*-8 - 13)*(0 + -1 - 0)\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -57.08 - -56.68. What is the smallest value in -4, o, -0.88?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i, 1 n, and 1 b when four letters picked without replacement from {n: 5, b: 2, i: 7, w: 5}?\nAnswer: 35\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v**4\/8 - 701*v**3\/8 + 4941*v**2\/8 - 10611*v\/8 + 1593\/2 = 0.\nAnswer: -708, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-12)\/10)\/(3\/15). Let u be ((-6)\/(-12))\/(1\/f). Is 48 - u\/6*6 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2\/7 (b) 1\/5 (c) 5.61 (d) 4\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-8)\/12)\/((-4)\/(-18)). What is the tens digit of (r\/(-6))\/(-1)*-26?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 1, z: 2, t: 2}. Give prob of sequence tz.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -16\/3*y + 32 + 2\/9*y**2.\nAnswer: 2*(y - 12)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 4*m - 21 + 0 = 0, -5*m = -20. Suppose 5*z = 12 - 42. Let f = a + z. Which is greater: -1\/8 or f?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.04 in -42\/13, 0.5, 3\/8, 3\/4?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -9192 divided by 2298\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.7? (a) -4\/5 (b) 0.5 (c) -13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*j - 585 = -23*j. Let f be j\/52*(-24)\/21. Which is smaller: -4 or f?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 46691?\nAnswer: 46691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -3505 (base 6) to base 8\nAnswer: -1501","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aof when three letters picked without replacement from ooofoafoojoqat.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = 3*c + u - 22, 5*u - 45 = -5*c. Let j be c\/(-10) + (-306)\/(-15). Let i = j - -2. What is i rounded to the nearest ten?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = 11*i - 6*i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -22.21 - 0.\nAnswer: -22.21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0001599915458 to 7 dps.\nAnswer: 0.00016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/14)\/((-91716)\/(-1177022))?\nAnswer: -11\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 34 (base 11) in base 5?\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 49\/699 and -31\/2097.\nAnswer: 2097","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 9480 and 25359?\nAnswer: 237","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 49 = 77*z - 1029 for z.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 1\/3, 6\/358421, -0.0077?\nAnswer: 6\/358421","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d\/d**(9\/5)*d**(-3)\/d*d**5*d**(14\/5) assuming d is positive.\nAnswer: d**3","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 7*m = 8*m - 914, -5*q = 5*m + 1130. Let f = q - -233. Sort 3, 0, f in decreasing order.\nAnswer: f, 3, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.4173201 millilitres?\nAnswer: 0.0004173201","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*o - 14*o = 31 - 395 for o.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 3*d + 3995038 = -5374977, 0 = -s - 3*d - 4684985. What is s rounded to the nearest 1000000?\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3 (b) -1414128 (c) -31\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (4\/(-7))\/((-3)\/1407).\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31002116 - 15501029 - 3*v**2 - 15501087.\nAnswer: -3*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1 + 6. Let x(z) = -z + d - 8*z + 2*z + 8*z. Calculate x(-4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nss when three letters picked without replacement from {n: 4, h: 1, z: 3, s: 5, d: 3, q: 1}.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - v = 20. Let m be ((-6)\/v)\/((-2)\/10). Suppose 2*n - j - 56 = -2*j, -m*j = 3*n - 87. List the prime factors of n.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) be the second derivative of -283*z**5\/10 + 2359*z**2 + 5*z + 10. Find the first derivative of j(p) wrt p.\nAnswer: -1698*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 30*w - 41815 - 9935. Does 115 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 516077.5l?\nAnswer: 516077500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*m + m - 8. Let o be (-2)\/1 - 4\/(-2). Suppose 48 = m*w - o*w. Does 7 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2731915?\nAnswer: 5, 19, 149, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 4, -2, -13070, 32 in increasing order.\nAnswer: -13070, -2, 0, 4, 32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:36 AM and 5:03 PM?\nAnswer: 507","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -55 - -83. Suppose 0 = -7*m + 3*m + 5*k, 4*m = -2*k + h. Is m a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = a - 2418 + 129. List the prime factors of a.\nAnswer: 3, 7, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*p + 144 = 10*p. Calculate the remainder when 44 is divided by p.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -387*o**3 - 11*o + 28*o - 12*o - 5*o.\nAnswer: -387*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 5.4596 and 0.1?\nAnswer: 0.54596","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 136*p**2 - 5*p - 5. Let y(l) = l**2 + l + 1. Determine -t(u) - 5*y(u).\nAnswer: -141*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 498*z**3 - 299*z - 2?\nAnswer: 2988*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26*j**2 + 21*j**2 - 30*j**2 + 211*j**2 + 2*j**3.\nAnswer: 2*j**3 + 228*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 12 + 13. Let v = -29 + w. Which is the third biggest value? (a) v (b) -0.3 (c) 2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -201 = -6*v + 2*v + 5*a, 5*v = 3*a + 235. Let y = 240 - v. Let d be (-3)\/9 + y\/12. What is the highest common factor of d and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -9*c - 247. What is z(-27)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 15269575*x**2. Let a(n) = 11*n**2. Determine s(a(l)).\nAnswer: 1847618575*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(60)\/(sqrt(6) - (sqrt(6) + -2*sqrt(24)\/sqrt(4))))\/((sqrt(605)*-2 + sqrt(605) - sqrt(605))*1).\nAnswer: -sqrt(2)\/44","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 32337 or 32123?\nAnswer: 32123","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in three tenths of a microsecond?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) be the second derivative of b**4\/4 - 5*b**3\/6 + 2*b. Find the second derivative of x(w) wrt w.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 73026661 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -64, -0.0493, -5?\nAnswer: -64","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -23605, -47168, -70731, -94294, -117857, -141420?\n\"Answer: -23563*x - 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 4*v**2 - 3*v - 7. Is m(-6) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/3? (a) 5 (b) 15976 (c) -3.7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (12\/10)\/((-6)\/(-20)). Suppose -2*z = -m*z. Let w = 1619577 + -1619580. Sort w, z, -2 in ascending order.\nAnswer: w, -2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1277.09 - 1284. What is s rounded to the nearest integer?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (44 + -35)*4\/(-6)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*a = -16*a + 105. Suppose -16*f = -a*f + 2. Let t be (3 - 3)\/((-6)\/f). Solve 3*i - 6 + 0 = t for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u - 3*i + 152 - 143 = 0, -4*i = -4*u - 44 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Are 2464 and 2465 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 2*i - 18*d + 13*d, -d = -3. Suppose 5*c - 2*w + 60 = 3*w, 2*w - 44 = 4*c. What is the remainder when i is divided by (-10)\/(-1)*(-8)\/c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 320496 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4249\/475115 - 6\/835. Let w = g + -54057\/1138. Find the common denominator of 57\/16 and w.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 97.33618 decades to years.\nAnswer: 973.3618","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = -6*d - 3*y - 889, -9 = 3*y. Let i be (-4)\/20*d - (-12)\/15. What is the greatest common divisor of 162 and i?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 2*r - 6*r + 5 - 5. Let j(l) = 4*l + 43. Let q be j(0). Let g(y) = 20*y - q*y + 23*y + 2*y**2. Calculate g(o(h)).\nAnswer: 32*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 101451791227 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 - (-1 + (5 - -2) - 5).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-9)\/6 + 12\/8. Let b(l) be the second derivative of 1\/3*l**3 + k + 0*l**2 + 1\/6*l**4 + 3*l. Factor b(j).\nAnswer: 2*j*(j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 6*u**2. Let w(k) = -4*k**2. Suppose -15 = -10*c + 35. What is c*w(m) + 4*g(m)?\nAnswer: 4*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -710312942*f**2 - f + 509349727.\nAnswer: -1420625884*f - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 minutes before 12:00 AM?\nAnswer: 11:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 3*q = -2*d + 24, -d - 5*q + 24 = 0. Solve -2*i = -y - 8, 3*i - 9 = -y + d*y for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that -2*x**4\/11 + 500*x**3\/11 - 33186*x**2\/11 + 22000*x - 42592 = 0.\nAnswer: 4, 121","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*i + 36*i - 27 = -3*h, -i + 9 = -h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -68*o. Let x be v(-4). Let m = x - 146. Does 19 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from plpoopppopo. What is prob of sequence lo?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -2, -0.4, -16, 2\/7.\nAnswer: -16, -4, -2, -0.4, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wz when two letters picked without replacement from yezeeeewyewwezyyyee.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -90*n**3*s - 606517*n**3 - 8026*n - 12785*s wrt n.\nAnswer: -540*n*s - 3639102*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -22*t + 572. Let r be i(26). Let h(z) be the third derivative of -1\/12*z**5 - 5*z**2 - 1\/120*z**6 + r - 1\/2*z**3 - 7\/24*z**4 + 0*z. Solve h(s) = 0.\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -c - 11. Let l be k(-13). Determine r so that 28*r**4 + 1 - 31*r**4 + r**2 - 4*r**3 - 2*r**l + 3*r**2 + 4*r = 0.\nAnswer: -1, -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is a14 + 1dc?\nAnswer: c12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 1, j: 3, d: 6, p: 2, r: 3}. Give prob of picking 1 p, 1 j, and 1 t.\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -42 + 41.05. Let c = q - 4.33. Let r = 5 + c. What is r rounded to one decimal place?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -10\/29 + 127\/116. Let s = 6 - 6.3. Let d = 0.3 + s. Is n >= d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**21\/r**(6\/7))**(4\/9) assuming r is positive.\nAnswer: r**(188\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -1\/9, 4, 1220, 0.181, -2?\nAnswer: 1220","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jjii when four letters picked without replacement from iiijij?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29443 is divided by 28052?\nAnswer: 1391","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1758?\nAnswer: 2, 3, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**0*c**(-3\/4)*(c**0)**(2\/27) assuming c is positive.\nAnswer: c**(-3\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 83758 is divided by 3350?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 748?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -274 + 274. Let k be 10\/(-8) + (-4)\/(q + -4). What is the closest to -1 in k, 4, 0.2, 20?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -7860 at least -7409?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1 + 5 + 4 - 4. Let k(f) = 5*f - 3. Let j(y) = 14*y - 10. Let z(h) = r*j(h) - 17*k(h). Determine z(-4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 18*d**2 - 1. Calculate the remainder when z(-1) is divided by 7.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9893, 19807, 29699, 39563, 49393, 59183, 68927, 78619?\nAnswer: 88253","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*d**3 + 95*d**2 - 400*d - 500 = 0. What is d?\nAnswer: -1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + 2*w - 66 = 0, 2*w + 2*w = -3*p + 62. Suppose -5*b = -22 - 68. Let v = p + b. Calculate the remainder when v is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 431*a + 5564. Give b(-13).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 6303 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -216 + 247. Which is greater: z or 0?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 16\/9 - 482\/9*d + 20\/3*d**2.\nAnswer: 2*(d - 8)*(30*d - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (2\/((-84)\/35))\/(42\/63). Let q = -31 - -31. Which is the closest to -1? (a) h (b) q (c) -3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -91 (base 16) in base 8?\nAnswer: -221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 10976?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in -1\/5, -25.28, 0.09?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -197980*u + 1773?\nAnswer: -197980","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(704)*-2 + 4 + -3)**2.\nAnswer: 64*sqrt(11) + 11265","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 440?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -115362 + -2141?\nAnswer: -120533","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 66338282 is divided by 763?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 6503 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -w**2 - w. Let d be c(0). Suppose -l + d*l = -2*m + 15, 5*l = 4*m - 45. Solve -m*u = -0*z + 3*z + 25, -5*z = -5*u - 25 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = n**3 - 13*n**2 - 8*n - 3. What is t(14)?\nAnswer: 81","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i**4 - 3696*i**3 + 850072*i**2 + 1711248*i + 857476 = 0.\nAnswer: -1, 463","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -5*t**2 - 2*t + 2. Let w be d(-2). Let l = 17 + w. What is the greatest common factor of l and 15?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hs when two letters picked without replacement from ooocssssooh?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 373.8 - 373.8. What is the fifth biggest value in 1, -0.3, 0.0043, i, 0.01?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) be the first derivative of 23*f - 39\/2*f**2 + 56. Differentiate l(a) wrt a.\nAnswer: -39","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 40263460 or 40263459?\nAnswer: 40263459","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.12 and 123783?\nAnswer: 14853.96","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/7? (a) 4 (b) -0.2 (c) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 4*t - 7. Let x be 2 + -4 - (-23 - t). 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 4222057\/122 bigger than 34606?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 20 - 12?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -31*l + 10. Let j(s) = -10*s + 3. Let i = 7 - 14. Let a(r) = i*j(r) + 2*x(r). Determine a(1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:26 PM and 10:03 PM?\nAnswer: 337","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 26418 divided by 74.\nAnswer: 357","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -509 times 2?\nAnswer: -1018","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 225570 and 17739?\nAnswer: 219","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that -2*u**5\/9 - 11842*u**4\/9 + 177962*u**3\/9 - 700358*u**2\/9 + 59360*u = 0.\nAnswer: -5936, 0, 1, 5, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 12402, 99044, 334176, 792042, 1546886?\nAnswer: 2672952","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*-6*4*((sqrt(80)*1 + -2 - -4*(sqrt(80) + -1)) + -3)*-4)**2.\nAnswer: -3317760*sqrt(5) + 19178496","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -72 = -4*b - 4*p, -2*b + 4*p - 7 = -13. Let o(x) = 2*x**3 + 3*x**2 - 2*x + 2. Let q be o(2). Calculate the greatest common factor of q and b.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -77 + 74. Find the common denominator of -53\/44 and (b\/32)\/(5\/((-770)\/(-3))).\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 594, -152, 4 in descending order.\nAnswer: 594, 4, -152","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 8418 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: Solve 4 = -5*c + x, x - 6 = -2 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) be the second derivative of 3\/40*p**6 + 79\/80*p**5 + 13*p + 75\/16*p**4 + 63\/8*p**3 - 27\/4*p**2 + 0. Factor k(j).\nAnswer: (j + 3)**3*(9*j - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-1 + 2 - 4)*(18 - 15 + 27) - 2 + 3 - 2 + 1 + 3 - 2)*(-f**2 + 6*f**2 - 14*f**2) as z*f + t*f**2 + v and give t.\nAnswer: 801","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) be the first derivative of b**4\/4 - 7*b**3\/6 + 8*b - 1. Let f(p) be the first derivative of a(p). What is the second derivative of f(l) wrt l?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2402754614 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = g**2 - 24*g + 131. Calculate i(15).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -22*o + 7. Suppose -18*u + 8 = -26*u. Let x be b(u). Differentiate 124 - 6*t**2 - x*t**2 + 6*t**2 - 86 wrt t.\nAnswer: -58*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-11)\/4 - 1\/4. Let o(u) = -u**3 - 4*u**2 - 3*u - 4. Let q be o(s). Let k be (2 + q)\/(2\/(-3)). Put k, -5, 2 in decreasing order.\nAnswer: k, 2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1\/7 + (-286)\/(-7). Suppose 3*v - z = 1. Factor 9*h - v*h + 6 + 9*h - 10*h**2.\nAnswer: -2*(h - 1)*(5*h + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 73 divided by -2.\nAnswer: -73\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 2245*o + 233426. Determine a(-104).\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*w + 2 = 5*w. What are the prime factors of (w - 20\/(-6))*9?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -u**3 + u**2 - u. Let w(v) = 3*v**3 - 2*v**2 + 2*v - 5. Calculate -2*q(i) - w(i).\nAnswer: -i**3 + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 8810 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*(w**(-3)\/w)\/w*w**7)\/(w**(-1\/4)*w)**(5\/2)*w**(-4)\/w**4*(w**3\/w)\/(w\/(w*w**9)) assuming w is positive.\nAnswer: w**(33\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 5604*q + 10. Let z(s) = 16830*s + 28. Give -17*b(k) + 6*z(k).\nAnswer: 5712*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 426976671 a multiple of 59?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 708 and 10?\nAnswer: 3540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 18 - (17 - 10) - 3?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = 4*t + 27. Let q be 74\/9 + 6\/t. What is the highest common divisor of q and 32?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*q + 12, 5*q - 22 = -5*y + 3 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -267, -329, -391, -453, -515?\n\"Answer: -62*d - 205","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 502?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -5*u - 1. Let r be d(-1). Let b = -4 + r. Suppose -2*q + 12 + 2 = b. Which is bigger: 8 or q?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*a**4 - 2*a**3 + 2*a**3 + 5*a**2 + (-a**2 + a**2 - 9*a**2)*(a**2 + 0*a**2 + 0*a**2) as y + o*a**2 + s*a**4 + x*a**3 + g*a and give o.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (1 - 60) + (14 - ((40 - 20) + -16)) + -6\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 151320 is divided by 1561?\nAnswer: 1464","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 32084 divided by -16042\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (283 - -9) + 21\/(-3). Let q = 284 - d. Put q, -0.094, 1\/3 in descending order.\nAnswer: 1\/3, -0.094, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s = -10*s - 117 for s.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:05 AM and 5:30 PM?\nAnswer: 445","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/((-20)\/(-8))*3\/6?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 361, 445, 519, 577, 613, 621?\n\"Answer: -n**3 + n**2 + 88*n + 273","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by 1763\nAnswer: 3\/1763","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-85760)\/300)\/(-134))\/(24\/10)?\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1735543, 0.007, -1?\nAnswer: -1735543","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7*-1575653.\nAnswer: -11029571","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 20\/(-65) + 2364\/78 + -44 + 59\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) be the third derivative of 0*f - 1\/42*f**7 + 0*f**5 + 0*f**3 + 0 + 0*f**6 - 6*f**2 + 1\/24*f**4. Find the second derivative of v(m) wrt m.\nAnswer: -60*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 62 a factor of 1351314?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17044674 divided by -6.\nAnswer: 2840779","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 62 (base 16) in base 9?\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 128 a factor of 330109952?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yh when two letters picked without replacement from yuuyhhuuhhhhhuhuhhhu?\nAnswer: 11\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 4 + -2d60?\nAnswer: -2d5a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 = 36*r + 14 - 14. Put -4\/11, 34, -0.3, r, 0.5 in decreasing order.\nAnswer: 34, 0.5, -0.3, -4\/11, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 14 - 4. Suppose k - h - 64 = 0. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 28a6678 + -1?\nAnswer: 28a6677","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pppp. What is prob of picking 4 p?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*y**4 - 5*y**4 - 5 - 2*y + 4 + 4*y**4 in the form k*y**3 + n + a*y + c*y**4 + g*y**2 and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 131221010333 (base 4) to base 11.\nAnswer: 4428049","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-8)\/(-10))\/(2\/(-10)). Let h(n) = -605*n**2 + 5*n. Let y be h(p). What is y rounded to the nearest 1000?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4\/3*x + 2\/3*x**2 + 0 + 2\/3*x**3.\nAnswer: 2*x*(x - 1)*(x + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -3*v. Let b(j) = -37952258*j. What is b(o(s))?\nAnswer: 113856774*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 35*n - 60. Let x be o(2). Let t(q) = -q**2 + 8*q + 14. Calculate t(x).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 2 a when three letters picked without replacement from {o: 4, a: 3}?\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g - 18 + 0 = 2 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.188 - 0.012. Is 13 bigger than b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 156*n**4 + 26985*n + 1 - 26985*n + (-6*n - n**2 + 6*n)*(-2*n**2 + n - n).\nAnswer: 158*n**4 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*z + 26*z = z - 279 for z.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = 4*y - 2*a + 3*a, 5*y = -3*a + 28. Suppose 3*u = -5*w + 65, -2*u + y*w + 0 = -10. What is the remainder when 43 is divided by u?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 391 and 92?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-16)\/2 + 737*(-19)\/(-1672). What is the closest to 2\/17 in -20, o, -1\/4?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(9\/(-1))*18\/4?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 39058 (b) 0.4 (c) 1 (d) 17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -349363230 by 226565.\nAnswer: -1542","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 69217746?\nAnswer: 2, 3, 13, 47, 79, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 r when four letters picked without replacement from rrrrrrrrrr?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -53503 + 119054. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10)\/(-16)*(-6)\/15*(-6)\/(-2).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4 - 5 - 5*4. Is (-28)\/t*(-30)\/(-4) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -768 in 0.7, 4, -0.1, 0, 2\/9?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 176277 and 150951?\nAnswer: 201","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 13403 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (18\/270)\/((-5)\/(-36))*760\/456.\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.045 + 0.205. Let x = 0.17 - n. Let h = 0.32 - x. What is the third smallest value in -0.7, 1, h?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(-2)*(525\/50)\/21?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.290068 + -0.29. What is t rounded to five dps?\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.232 + 1.242. What is z rounded to one dp?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-136)\/32 + 4 + 571\/(-4). Let s = 300 + x. What is the hundreds digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -5*z - 10. Let a(f) = -14*f - 21. Let c(l) = -4*a(l) + 9*m(l). Let v(t) = 5*t - 3. Calculate -3*c(j) + 7*v(j).\nAnswer: 2*j - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7768?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -653.2 - -687. Let y = o - 58.8. Does y = -0.3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 139072907 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -4*w**2. Let g be o(2). Let m = g - -10. Let t = -4 - m. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 3*s - 69 = 0, -2*g = -3*g + 4*s + 51. Calculate the remainder when g is divided by 11.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 975 and 624.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3998?\nAnswer: 2, 1999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 349962 by 116654.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-38)\/2 + 2\/(-1). Suppose 4*m + 0*m = -44. Let f = m - l. List the prime factors of f.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 56*c**2 - 166*c - 6. Let h be o(3). Solve 13*f - 11 - 15 = h for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -24717267, -49434533, -74151799?\nAnswer: -98869065","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/6 of a decade in months?\nAnswer: 140","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0, -13, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 339237*p**3 - 2*p**2 + 4*p + 8400 wrt p.\nAnswer: 2035422","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -m**3 + 2*m**2 + 8*m - 2. Let p be o(3). Suppose -4*h + p = -2*i - 9, -5*i - h = 0. Which is greater: i or 2\/15?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 28*y**2 - 3*y - 2. Let o(j) = 13*j - 378. Let g be o(29). What is p(g)?\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) be the first derivative of w**3\/3 + 3*w**2 + 2*w + 3. Calculate v(-7).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*x**4 + 0*x**4 - 2*x**4)*(23*x - 7*x - 4*x).\nAnswer: -24*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 5*s - 105 - 28137 = 0, -4*s + 35298 = -5*l. Let h = -658 - l. What is h rounded to the nearest 1000?\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 172151 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 5a3 - -42?\nAnswer: 605","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4661671, 4661665, 4661659, 4661653, 4661647, 4661641?\nAnswer: 4661635","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3955b56 + -2?\nAnswer: 3955b54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = -4*t - 20, -k - 4*k = 0. Is -5 >= t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3\/21 - (29 - 30792\/56)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 d when two letters picked without replacement from {r: 4, z: 2, d: 1, v: 1, i: 1}.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4 - 54\/(-15))\/((-24)\/10))\/((-17)\/238)?\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*j + 16*j - 56 = 0. Let i = -4 - -10. Let g = 4 - i. Which is the third smallest value? (a) g (b) -4\/5 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 579*w + 3541 = -10934 for w.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -220, -143, -26, 125, 304, 505, 722, 949?\nAnswer: 1180","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -12*u - u - 1352. Let t = -96 - u. What is the highest common factor of t and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 338 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (16\/(-20))\/(8\/(-20))*-1 + 17.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 2.38 and -606718100?\nAnswer: 606718102.38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8580 is divided by 1066?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.124582 * 280.\nAnswer: -34.88296","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14632.\nAnswer: 2, 31, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 7395804 divided by 18?\nAnswer: 410878","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 4\/6*(-6)\/(6\/(-1))\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -352 - -947. Is 44 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12*k**2 + 13*k**2 - 10*k**2)*(-3*k + 4*k - 2*k) - 264*k**3 + 7*k**2 + 509*k**3 - 254*k**3 + (k + 0*k + k)*(-5*k**2 + 2*k**2 + 2*k**2).\nAnswer: -26*k**3 + 7*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in -49, -3, -5, -0.086, -0.5?\nAnswer: -0.086","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-3512)\/12)\/((-1568)\/312 - -5). Suppose -14*n + t = -13324. What is the thousands digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -5*h + 31. Let t be v(8). Is t greater than -5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3688078 is divided by 1691.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/((u**(-2\/5)\/u)\/u))**(1\/15)\/(u**(-1\/2)\/(u*u\/u**0))*(u\/u**(-3\/7)*u**(1\/5)*u)**(-28) assuming u is positive.\nAnswer: u**(-10631\/150)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) be the second derivative of -1\/60*c**5 + 0*c**3 + 0*c**4 - 2\/63*c**7 - 1\/18*c**6 + 0*c**2 - 3*c + 0. Solve a(w) = 0.\nAnswer: -1, -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 61699 and 34719?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(-1\/8)\/s**15 assuming s is positive.\nAnswer: s**(-121\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 524672, 2098540, 4721612, 8393894, 13115392, 18886112, 25706060?\n\"Answer: f**3 + 524596*f**2 + 73*f + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in w - 19*w + 0*w + 13*w.\nAnswer: -5*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1211 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-34)\/52 - 4\/(-8). Let p be (6\/33)\/1 - 0. Sort l, -2\/7, p in descending order.\nAnswer: p, l, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.3296 to one decimal place.\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -226 + 580 = 118*b. Suppose -150 = 5*c - 5*z, z - 4*z - 42 = c. What is the common denominator of (-2)\/(b - (-117)\/c) and -6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (2\/6)\/((-2)\/(-30)). Suppose 0*o = c*o - 65. Is 4 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) be the first derivative of -1\/3*u**3 + 1 - 1\/5*u**5 + 0*u**4 + 0*u + 0*u**2. What is the third derivative of w(q) wrt q?\nAnswer: -24*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 120*a + 57*a + 40*a = -10*a - 21792 for a.\nAnswer: -96","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 131 a factor of 248629?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9\/174*-2*403\/(-403).\nAnswer: 3\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + 5*(((sqrt(12) + sqrt(192))*-6)\/(sqrt(96)*-1) + 3 + 5)**2 + 0.\nAnswer: 600*sqrt(2) + 1767\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 2393630 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 8652969 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 184 - 44. Let m = r + -91. Let h = m + -48.99999872. Round h to 6 decimal places.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = v**3 + 50*v**2 - v - 9. Give l(-50).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/(-6) + (1 - 21\/6)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + v - 248 = 0. Let h = -5 + 5. Let x(c) = -c**2 + c + 16. Calculate the remainder when v is divided by x(h).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11 + -1011221120002020?\nAnswer: -1011221120002101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -2*k + 4*g, -2*g - 8 = 5*k - 8*k. Factor -4\/3 - 1\/3*o**k - 4\/3*o.\nAnswer: -(o + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 55 + 50 = 0. Let o(n) = 27*n**2 + 4*n + 4. Is o(t) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - 2*f)*(1 + 0 - 2)*(10328 - 6262 - 12532).\nAnswer: -16932*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 5*d - 23. Calculate the remainder when 65 is divided by n(8).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 o and 1 k when four letters picked without replacement from {z: 2, k: 1, o: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(156) - (sqrt(156) - sqrt(156)*1)))\/(-6*(sqrt(12)*2 + sqrt(12))).\nAnswer: -sqrt(13)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 476, 488, 500, 512, 524, 536?\nAnswer: 548","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 0 - 120121220022?\nAnswer: -120121220022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 238301 and 868385?\nAnswer: 4039","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:04 AM and 12:56 AM?\nAnswer: 52","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 424 - 421. Let x(o) be the first derivative of 3\/2*o**4 + 0*o - 11 - 3\/5*o**5 + 0*o**2 - o**c. Factor x(j).\nAnswer: -3*j**2*(j - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -192 + 198. Suppose 21840 = z*a - 22560. What is a rounded to the nearest 1000?\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2 * -631174.\nAnswer: 1262348","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 454 + -456. Which is the nearest to z? (a) 0.2 (b) 1 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1913341 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 3*s. Let b be l(1). Let m be (-5)\/2*(-5 + b). Suppose -15 - 30 = -m*n. Round n to the nearest 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jpjpppjp. What is prob of picking 2 j?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 316 = -b, 3*m - 7*m - 1240 = -4*b. Find the common denominator of 7\/(-4) - 30192\/4736 and 4\/(-6) - b\/(-24).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z**(-1\/14)*z)\/z)**(14\/5) assuming z is positive.\nAnswer: z**(13\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 984 + -1066. Which is smaller: -5 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1\/310 - 37\/62. Let m = 11379.3 + -11379. What is the third biggest value in m, -7, a?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 31.9535169 and 4?\nAnswer: 127.8140676","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*o + o + 4*o)*(5 - 1 - 5 + (-3 + 2 + 2)*(0 + 1 + 0) + 8 - 12 - 17)*(0 + o + 0).\nAnswer: -105*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 431*g**4 + 6*g**2 - 427*g**4 - 933 - 6*g**2 - 228*g**3 with respect to g.\nAnswer: 16*g**3 - 684*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1602435*o**3*v**2 + 7790*o**3*v - 216*o**3 + o**2 + 2*v**2 wrt v?\nAnswer: -3204870*o**3 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -18*r - 3. Let w be h(-6). Suppose 7*m - w + 91 = 0. Solve 0 = -v - m*v - 9, -5*l + 6 = -2*v for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 27 and 1431?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) be the second derivative of c**6\/360 - c**4\/8 + c**3\/6 + 4*c. Let b(m) be the second derivative of h(m). Find the first derivative of b(u) wrt u.\nAnswer: 2*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-9726)\/329063)\/(48\/(-174))?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 35.44379l in millilitres?\nAnswer: 35443.79","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 51 - 35. Does 4 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -26 - -28. Suppose d - 6665 = 3*b, -b = d - i*d + 2219. Let o = 35583\/16 + b. Calculate the common denominator of o and 19\/22.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = -5*d - 20, 3 = x + 3*d + 1. Let l(p) = -2*p**2 + p + 8. What is l(x)?\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -17.4 + -385.6. Is d smaller than -1\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = n**2 + 4*n - 10. Let v(q) = -2*q**2 - 7*q + 21. Let w(l) = -5*u(l) - 2*v(l). What is the units digit of w(-6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 283 = -b, -13*b + 11*b - 10 = 0. Calculate the highest common divisor of k and 88.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00005379488868 rounded to 5 dps?\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -f**3 + 6*f**2 - 3*f - 10. Let l be m(5). Suppose 5*n = 185 - l. Calculate the remainder when n is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is a34 - -2?\nAnswer: a36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -2 + ((-165)\/1)\/(-3). Suppose -2*f - 3*l + r = 3*f, 5*l = -2*f + 6. What is the highest common factor of 143 and f?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12806 = -60*m - 80*m + 2454 for m.\nAnswer: 109","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 550022 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -6 in 0.5, 0.2, 7, 3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) be the second derivative of -l**6\/6 + l**4\/12 - 7*l. What is the third derivative of x(g) wrt g?\nAnswer: -120*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -1 + 1 - 13*n**2. Let w(x) = 10*x - 42. Let i(r) = 3*r - 12. Let q(k) = 7*i(k) - 2*w(k). Calculate u(q(f)).\nAnswer: -13*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 + 14 + -9 + 1?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h\/h**(2\/19))\/(h\/(h*((h**(1\/6)\/h)\/h)\/h)))**(-19))**(-44) assuming h is positive.\nAnswer: h**(-4862\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s = -3*v + 23, -2 = -v + 2*s - 11 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(-2\/9)\/(p*p\/p**(6\/11))*p*(p*p*p*(p*p**(2\/9))\/p)\/p*p*p\/(p**(-2\/15)\/p) assuming p is positive.\nAnswer: p**(772\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10164 = -276*o + 297*o. What is the units digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 801 divided by -3.\nAnswer: -267","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 214615\/3956 + -1\/1978. Let t = -54 + m. Is 0 less than t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 1 = -5*y - 8, 7 = u - 4*y. Is 1*(-1 + u) + 4 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (-1 + sqrt(176)*1)**2 + ((sqrt(176)*-3 + 4)*-6)**2 + -4 + 1.\nAnswer: -3464*sqrt(11) + 57778","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-8)\/6 - (-2)\/(-3). Let u = a - -2. Is 6 a factor of 3\/(u - 3\/(-8))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -922948098 by 968466.\nAnswer: -953","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -224*n + 6. Let v be g(1). Let f = v + 221. Solve p - f = -4 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + (12 - 0) + -6 - -2?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 17 = 2*w, -w - 2*g + 3*g - 7 = 0. Let l(o) = -9*o - 9 - 3*o**2 + o**2 + o**2. Is 6 a factor of l(w)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -124 - -123.6. What is the third biggest value in m, -26, 1\/5?\nAnswer: -26","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*p - 348 + 368. Suppose p*z - 89 = 2*y - 352, 5*z = -5*y + 640. Is 5 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-9)\/(-6))\/((-2)\/(-12)). What is the second derivative of 11*s - a*s + 0*s + 3*s**2 wrt s?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 202462, 202361, 202212, 202015, 201770, 201477?\n\"Answer: -24*k**2 - 29*k + 202515","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 32696 and 1072?\nAnswer: 536","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 21 + -19. Solve -3*r + 0 + 3 = w*n, 0 = 2*n for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4\/(-3)*24\/16. Let g(c) = 4*c - c - 120*c**3 + 352*c**3 - 120*c**3 - 116*c**3 - 3 + 5*c**2. Let y(p) = -3*p**3 + 5*p**2 + 2*p - 2. Give v*g(i) + 3*y(i).\nAnswer: -i**3 + 5*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24309 is divided by 14?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 30982 = 2*v, 0 = -0*v + 4*v + 12. What is the hundreds digit of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -41 + 53 - (3 + -1 - -4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 482 or 483?\nAnswer: 483","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = l**3 - l - 9. Let b(y) = 3*y**3 - 3*y - 19. Let w(j) = -2*b(j) + 5*z(j). Is w(-5) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:12 PM and 9:54 PM?\nAnswer: 102","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -20.9 - -20.900873. What is z rounded to 4 dps?\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -334 - -334. Which is bigger: -2\/105 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (q**2 - q**2 - q**3)*(1 + 1 - 1)*(-45*q - 2*q - 100*q) in the form p*q**3 + l*q**2 + n + c*q**4 + i*q and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -b**3\/6 - 395*b**2\/2 + 791*b\/2 - 1187\/6.\nAnswer: -(b - 1)**2*(b + 1187)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 75\/24*1 - 8\/64?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2840138809 to the power of 1\/3, to the nearest integer?\nAnswer: 1416","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 3*o**2 - 157*o + 77. Let a be q(26). Which is smaller: a or 1\/4?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -b**3 - 2*b**2 + 12*b. Let g be h(-5). Suppose g*l = 42*l - 113130000. Round l to the nearest one hundred thousand.\nAnswer: 4200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7150 divided by 25.\nAnswer: -286","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-7)\/(-3) + 4\/6. Let c(q) = 7*q**3 - q**2. Suppose 0 = -2*t + 5*t - 3. Let g be c(t). Solve 2*i + g = 0, -1 = -0*m - 2*m - f*i for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -12*c**2. Let w(p) be the second derivative of -283*p + 0 + 0*p**2 + 0*p**3 - 1\/12*p**4. Give w(v(b)).\nAnswer: -144*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -92 = 6*b + 172. Let c = b + 184. Is c a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -5*i**2. Let r(k) = 15*k + 2*k**2 - 26*k + 17*k. Calculate r(d(x)).\nAnswer: 50*x**4 - 30*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -5 (b) 3 (c) 1 (d) 47 (e) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.7 in 0.05, -4, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from apzaavzpazqaazaz. Give prob of picking 2 a and 1 z.\nAnswer: 3\/16","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 5202 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 66 (base 7) to base 8.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzomzzozzzozzmmmzom. What is prob of sequence mz?\nAnswer: 25\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 77? (a) 0.1 (b) -7\/5 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.173958813 and -0.67.\nAnswer: -0.496041187","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -37\/48 equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (1*sqrt(17)*-4)**2 + 5.\nAnswer: 277","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4 - -8. Let g(p) = p**2 - p. Let l be g(1). Let o(q) = l*q - 3 + 0*q + 1 + 2*q. What is o(n)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -3*d**3 + 3*d - 1. Let w(q) = -2*q**3 + 3*q - 1. Let o = -429 + 425. What is o*m(y) + 5*w(y)?\nAnswer: 2*y**3 + 3*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -4*k - 13. Let t = 24 + -16. What is the remainder when z(-9) is divided by t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + 2 + 115 - (-106 + 66 + 15 + 34).\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a**(-6))\/(a\/a**2))\/(a**(-2))**(-27) assuming a is positive.\nAnswer: a**(-58)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 99 - 33 - 10*b**2 + 82*b**3 - 81*b**3 in the form s*b + y + i*b**3 + l*b**2 and give y.\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -2*307*-2 + 3 + -1. List the prime factors of 7\/((-231)\/(-6)) - r\/(-11).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 104 divide 4141134?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 867*q**3 - 82356*q**2 - 344187*q - 3564.\nAnswer: 3*(q - 99)*(q + 4)*(289*q + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 373991 less than 0.9504616?\nAnswer: -373990.0495384","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 913571 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -87 - -89. What is the lowest common multiple of z and 66?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.5475 to 1 decimal place.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 20 = 3*o - 7*o, 2*o - 3*p + 15 = 0. Suppose 5*v + 9*v - 70084 = o. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*c + 17 = -55. What is the smallest value in -4, c, 0.4, -14.4?\nAnswer: -14.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 240 and 700110.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 29576?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*(-1 + sqrt(192)) - sqrt(192)*3*4) + -2*-4*-2*sqrt(192) + -5)**2.\nAnswer: 2912*sqrt(3) + 129841","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*k**4 + 5*k**4 - 3*k**5 + (0*k**4 + 0*k**4 - k**4)*(-k - 3 + 3) + 3*k**5 - 21*k**5 - 3*k**5.\nAnswer: -23*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r - 3*o = r - 85, -12 = 3*o. Let h = -42 + r. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-2)\/(-8) + 885\/108 + -5 and -113\/10.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 173 minutes after 6:46 AM?\nAnswer: 9:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 29\/2538 and 97\/126195.\nAnswer: 2271510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1539074 divided by -10.\nAnswer: -769537\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (16 - 28)*(15\/2)\/5?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/(-23) + (-491238)\/(-19021).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4 - -6. Suppose -2 - l = 2*i + 2*s, -2*i + 16 = -3*s. What is the smallest common multiple of i and 13?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -2. Let n(p) = 447*p + 562. Let i(v) = 3*b(v) - n(v). Let a(y) = 112*y + 142. Let u(f) = 9*a(f) + 2*i(f). What is the first derivative of u(t) wrt t?\nAnswer: 114","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wrwrwwtwwwtwwtwwreww. What is prob of picking 1 r and 3 t?\nAnswer: 1\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*o - 2*t + 6, 0 = -2*t + 3*t. Suppose -68 - 36 = -o*r. What is the remainder when r is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 896\/28*15*(-16)\/160.\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 17949364 to the power of 1\/2, to the nearest integer?\nAnswer: 4237","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2d (base 15) to base 4.\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 4893*s - 1076 wrt s?\nAnswer: 4893","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(-3)*36\/30*(-65)\/(-182).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -85, 190, 465, 740?\n\"Answer: 275*x - 360","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = t**3 - 9*t**2 - 13*t + 1. Calculate m(10).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*r**2 + 3*r**2 + 4*r**2)*(3*r - 8*r**2 + 14*r**2 + 5*r**2) in the form h*r**2 + y*r + k*r**4 + d*r**3 + s and give d.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 58503 is divided by 19497.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - -5 - (3 - (0 - -6 - 6)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 402.602 + -403. Let u = c - -0.398445. Round u to 5 dps.\nAnswer: 0.00045","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-12)\/(-108)*-4 + 10408\/9. Calculate the greatest common divisor of 340 and v.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 499 in -2, 0.4, 3\/5, -4, -0.1?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) be the third derivative of -w**5\/60 + w**4\/24 + 7*w**3\/6 - 62*w**2. What is r(3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 14) to base 13.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 635 = -584*v + 175*v + 282*v. Let z(u) be the second derivative of 7*u**3\/6 + 9*u**2\/2 + u. Let p(f) = 8*f + 10. Determine v*p(r) + 6*z(r).\nAnswer: 2*r + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -14\/5, 8, 0.1?\nAnswer: -14\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 28 times -3.8?\nAnswer: -106.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tcttctcccctjcjc. Give prob of sequence jjtt.\nAnswer: 1\/819","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 46.8, -0.4, 15, 477 in increasing order.\nAnswer: -0.4, 15, 46.8, 477","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1836 by -612.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 2*p**3 + 2*p**2 + p. Let k be h(-1). Which is greater: k or -0.26?\nAnswer: -0.26","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10111110 (base 2) to base 15\nAnswer: ca","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-1)*n)**(2\/11)\/(n*n**(-1\/4)*n)**25)\/((n\/(n\/n**(-1\/6)*n*n)*n)\/(n*(n\/(n\/(n\/(n\/(((n\/(n**(-1\/4)\/n))\/n)\/n)))))\/n))**(-22) assuming n is positive.\nAnswer: n**(-899\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/15, -1, -0.158.\nAnswer: -1, -0.158, 2\/15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27193?\nAnswer: 71, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 64 a factor of 30400?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r, 1 i, 1 x, and 1 z when four letters picked without replacement from zrrrrrzrrxrzxrzxrri.\nAnswer: 11\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -5870 divided by 2?\nAnswer: -2935","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 588*x**2 + 3*x**3 + 578*x**2 - 46*x**3 - 1166*x**2.\nAnswer: -43*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 minutes after 4:37 PM?\nAnswer: 4:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -n**3 + 3*n**2 + 2*n + 4. Let j be f(4). Does 8 divide 707\/63 + j\/18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-297)\/(-3861)*(1 - -1093). Which is bigger: w or 84?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 3*j - 1 = -2, -2*i - 5*j = -7. Let x(z) = -3*z**2 - 3*z + 2. Let o be x(i). Let d = 47 + o. What is the tens digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 153245027 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*c + u + 14, -13*u - 10 = -3*c - 17*u for c.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1014\/105 - (-1 - -11)) + (-34)\/(-85)?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -1. Let r be 3*(0 - 1)*-1. Let c be 0 - (2 - (-1 - -4)). Suppose -c + r = 2*j. Let n(v) = v. Give j*s(o) + 2*n(o).\nAnswer: 2*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2 + 3. Let g(z) = 7*z**2 + 19*z + 1. Let t be g(-4). Let k = 41 - t. Which is the third biggest value? (a) 3 (b) k (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 122, 243, 364, 485, 606?\n\"Answer: 121*l + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 48564710 and 1460?\nAnswer: 97129420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -240572366 + 0.27.\nAnswer: -240572365.73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -74 - -79. Suppose v + 0*b + 4 = -4*b, -a*v = 5*b + 5. Suppose 3*m + 3*m = v. Solve 4*d - 5*p + 28 = m, 5*d + 3*p = -0 + 2 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5571*n + 52227 = 286246 + 557063 for n.\nAnswer: -142","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -3*n**2 + 63. Let i(l) be the second derivative of l**3\/3 - 1165*l. Determine i(p(g)).\nAnswer: -6*g**2 + 126","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, c: 1, z: 2, w: 1, e: 1, i: 1}. What is prob of picking 2 z?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-six fifths of a meter in millimeters?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_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: Sort 236, -16, -1479.\nAnswer: -1479, -16, 236","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = 2, -2*c = -a - 188 - 37. Suppose 4*k - c = -5. What is the highest common factor of 18 and k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3.117 smaller than -84430?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o = 4*m + 10, 3*m - 2*o - 1 = -14 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -4*r**2 - 16*r - 1. Let p be j(-4). Let i be p*(10 + -5)*3\/(-10). Which is the closest to -10? (a) 0.2 (b) i (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 96284 to the power of 1\/4, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that 5*j + 7\/4*j**4 + 65\/4*j**2 + 10*j**3 - 3 = 0.\nAnswer: -3, -2, -1, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((3\/81)\/(-1))\/(2\/(-12))?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*x + 2*s + 1205 + 4933, -2*s - 4601 = -3*x. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5020590 to the power of 1\/3, to the nearest integer?\nAnswer: 171","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -11*x + 60. Let t be v(4). Solve 2*a = 2*b - t, 2*a + 4 = -3*b + b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 3, d: 3, g: 7, a: 2, n: 1, u: 2}. What is prob of picking 1 h, 1 a, and 1 d?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 270563548?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 2*m**2 + 21*m - 8. Let i be d(-11). Let z be (-16)\/(1 + -5) - i\/(-1). Solve 5*q + z = -8 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i - 18 = 3*o, 34 - 13 = -3*o - 3*i for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2070 = -1079*l + 15194 for l.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2041.\nAnswer: 13, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -641 divided by 98935.\nAnswer: -641\/98935","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -7\/18? (a) -0.03 (b) -1\/7 (c) 3\/17 (d) -1\/4 (e) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 43, 233, 531, 925, 1403, 1953, 2563?\nAnswer: 3221","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 170*l - 12. Let s(g) = 9*g - 1. Calculate 22*s(c) - 2*v(c).\nAnswer: -142*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 725942448 and 3696.\nAnswer: 3696","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 16 = 2*c - 50, -51 = -3*c + t. Suppose -3*p - 24 = p. Calculate the remainder when (-3)\/(p\/(-50))*-2 is divided by c.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -5*m + 3*m. Let s(g) = 3*g + 5. Give s(m).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1452) - (sqrt(1452) + 0)*-5) + sqrt(1452) + -5*sqrt(84)\/(sqrt(35)\/sqrt(5)))**2 + -5 + -2.\nAnswer: 62201","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-23)\/((-46)\/12)*(-10)\/(-25)?\nAnswer: 12\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/j**(-11)*j**(-5)\/j)**(-1\/30) assuming j is positive.\nAnswer: j**(-1\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2*1\/2)\/((-42)\/84). Let u(r) = 12*r - 4. Calculate u(n).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*d**2 - 6*d**2 + 5*d**2.\nAnswer: -4*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) be the first derivative of -o**3\/3 + o**2\/2 + 4*o - 1. Suppose 3*n - 7*n = -12. Let f be 0 + 1 + 6\/n. Determine u(f).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2586)\/(-86) + 10\/(-1)*3?\nAnswer: 3\/43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2536 - -9?\nAnswer: -2528","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -w**3 + 2*w**2 + w + 3. Let q be y(3). Sort q, -2, -4 in descending order.\nAnswer: -2, q, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 6*t - 7. Let h(b) = -b + 4 - 2 - b + 0. Calculate 7*h(g) + 2*o(g).\nAnswer: -2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = l**2 + 8*l - 20. Let j be x(-13). Suppose -6*w + 11*w + j = 0. Is (1 + w)*(-270)\/40 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 76, 1, 11, -3, 2 in increasing order.\nAnswer: -4, -3, 1, 2, 11, 76","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -7083, -14178, -21285, -28410, -35559, -42738, -49953, -57210?\n\"Answer: -o**3 - 7088*o + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aadvgvgyw. What is prob of picking 1 a and 1 w?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -h**2 - 19*h + 32. Let i be b(-20). Sort -1, -2, 1\/4, i.\nAnswer: -2, -1, 1\/4, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 989\/12 + -83. Let v be (1\/(-10))\/(6\/818365). Let j = 13647 + v. Calculate the common denominator of j and g.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -2*o**2. Let d(r) = -5 - 3*r**2 - 11*r**2 - 11*r**2 - 12. Let x(l) = 4*l**2 + 3. Let c(s) = -6*d(s) - 34*x(s). Determine i(c(z)).\nAnswer: -392*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (-14)\/(-336)*-3*-2*4\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 467 minutes before 6:05 PM?\nAnswer: 10:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is cc0915 (base 15) in base 12?\nAnswer: 330a225","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 150\/15600 + (-1458)\/(-10608).\nAnswer: 5\/34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3 + 2947b4?\nAnswer: 2947b1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -37, -45, -53, -61, -69, -77?\n\"Answer: -8*d - 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -49*w - 1. Let r be x(-1). Suppose -4*d = -119 + 27. Let n = -11 + d. Calculate the greatest common factor of n and r.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(108) + -6*(sqrt(108) + sqrt(108) + (sqrt(108)*2 + sqrt(108) - sqrt(108))) + 1 + (sqrt(300)*2)**2 + -4*sqrt(3)*1 + sqrt(3).\nAnswer: -141*sqrt(3) + 1201","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -8*c**5 + 4*c**3 + 6*c**2 - 8*c + 6. Let o(h) = h**5 - h**2 + h - 1. Suppose 12 = -3*w + 5*w. Let v(g) = w*o(g) + t(g). Factor v(z).\nAnswer: -2*z*(z - 1)**2*(z + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 17*n**3*q**2 + 40*n**3 + 24*q**2 - 7*q wrt n?\nAnswer: 51*n**2*q**2 + 120*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 4*n**2 - 16*n - 133. What is z(-4)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(2\/7)\/h)**(13\/5) assuming h is positive.\nAnswer: h**(-13\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 5, f: 1, l: 2, m: 1, p: 1}. What is prob of picking 2 b?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 87560970.\nAnswer: 2, 3, 5, 7, 416957","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 7, e: 4, n: 4, j: 1, t: 1}. Give prob of picking 1 n and 1 e.\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48*c - 329 + 953 = 0 for c.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 21*h**5 - 4*h**2 - h - 484?\nAnswer: 420*h**3 - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -79\/2325 and 76\/9.\nAnswer: 6975","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 d when two letters picked without replacement from {z: 2, d: 1, x: 1, g: 5, y: 1, k: 7}?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 42 - 39. Put -2\/13, q, -1\/9, -2\/23 in ascending order.\nAnswer: -2\/13, -1\/9, -2\/23, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (d**2 - 2 + 2)*(9808*d**2 - 2367*d + 11626*d**2 + 18796*d**2 - 2374*d + 4741*d) as l*d**3 + b*d**4 + w*d + a + n*d**2 and give b.\nAnswer: 40230","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-7*c + 2 - 2)*(-1 - 6*c + 1)*(-c**2 + 2*c**2 - 2*c**2) to w + t*c**4 + g*c**3 + v*c + y*c**2 and give t.\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in -2, 12\/19, 2\/3?\nAnswer: 12\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve o**4\/9 + 26880419*o**3\/9 + 8960139*o**2 + 80641249*o\/9 + 26880416\/9 = 0.\nAnswer: -26880416, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 2*h - 7. Suppose f + 53 = -3*n, -4*n + 2*n + f = 42. What is the remainder when -2*-2*n\/(-4) is divided by x(7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (2\/(-5))\/(-4 - (-18423)\/4605). Round a to the nearest one hundred.\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -13 - -17. Solve 4*j - 3*j = 4*r + 4, -n*r - 2*j + 8 = 0 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 99*c*h**6 - 2*c - 2*h**6 - 177*h**2 + 5 wrt h.\nAnswer: 11880*c*h**3 - 240*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 1, n: 4, g: 1, r: 1, f: 6}. What is prob of picking 2 f, 1 g, and 1 q?\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 254 minutes before 6:33 AM?\nAnswer: 2:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11 = 4*g - l, -1639*g + 1641*g = 4*l - 2 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + -87.17591.\nAnswer: -87.17591","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 410.8 - 563. Let t = q + 7. What is t rounded to the nearest ten?\nAnswer: -150","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lllxqbllb. What is prob of sequence blbq?\nAnswer: 5\/1512","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 4*o + 4*y + 8, 2*o + 5*y = -2. Let u be o\/(-27) - 40\/99. Let t = 0.1468 + -0.0468. Which is the nearest to t? (a) u (b) 0 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.6 + 0.3. Let y = -460.7 - -461. What is the smallest value in f, y, -0.09?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 111 (base 2) in base 6?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 190 and 8640?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 239*m - 275*m = -4680. Let s(g) = g + 3. Let j be s(2). Suppose j*x - 49 - 61 = 0. What is the remainder when m is divided by x?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27 is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -7\/6135940 and -15\/23.\nAnswer: 6135940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (2 - 1)\/(3\/6). Let h = -12 + 12. Solve -j + h = b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that 2*x**5 - 1512*x**4 + 258330*x**3 + 10609700*x**2 = 0.\nAnswer: -34, 0, 395","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 322 divide 24423072?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 3, -2\/13, -0.8.\nAnswer: -5, -0.8, -2\/13, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 587*c - 287630. What is u(490)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = d**2 + 23*d + 52. Let t be k(-20). Let w be (0 + t)\/(9\/(-90)*-10). Let m be ((-6)\/(-15))\/(w\/(-160)). Solve 0 = -4*c - 8, -8 = h + m*c - 3*c for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -52250832*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*o + 40851 = 36*o. What are the prime factors of o?\nAnswer: 17, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = j - 1. What is b(12)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (16 + -5 - 15)*(-186700)\/16?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 31, 445, -410.\nAnswer: -410, 31, 445","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 + 52 = 14*q. Suppose -3*f = q*c - 18, 0 = -2*f - 6*c + 7*c. Solve 4 = -3*p + f*p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nhy when three letters picked without replacement from yyyynynhynnynn?\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*s + 11*s = -428*s - 27877 for s.\nAnswer: -61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 2 s when three letters picked without replacement from aassh.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4 and 5?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -1073 (base 16) in base 4?\nAnswer: -1001303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) be the first derivative of 5*f**2\/2 + 1251. Suppose 0 = 2*g - 5*g + 21. Let n(z) = 7 + g*z - 7. Calculate n(y(k)).\nAnswer: 35*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor y**2\/6 - 1590*y - 508429\/6.\nAnswer: (y - 9593)*(y + 53)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28 - 28 - p**2.\nAnswer: -p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -388*f + 133477. What is q(344)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 2, l: 1}. What is prob of sequence lss?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 430 - 424. Solve 0 = -h + g*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 3 = -0, 5*b = y + 17. Suppose b*u = 9 - 1. Solve w + h + 1 = 0, 4*w - 4*h = -u*h - 4 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (16\/1)\/(-1 - 0). Let i = d + 36. Let z be (32\/i)\/(4\/10). Sort z, -3, 2 in descending order.\nAnswer: z, 2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 945 and 4306680.\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) be the third derivative of -2\/15*j**5 - 41\/60*j**6 + 0 - 104*j**2 - 2\/3*j**3 + 0*j + 0*j**4. What is the third derivative of v(s) wrt s?\nAnswer: -492","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 626582?\nAnswer: 2, 11, 19, 1499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-4)\/(-7) - (1547\/392 + (-90)\/240). Let m(k) = -2*k - 4. Let n be m(-4). Put 4\/5, n, o, 2\/5 in decreasing order.\nAnswer: n, 4\/5, 2\/5, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 429590.\nAnswer: 2, 5, 7, 17, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is (-13)\/(-91) + 14096\/14 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) be the first derivative of -6*m**5\/25 + 9*m**4\/20 + 4*m**3\/5 - 9*m**2\/10 - 6*m\/5 + 5776. Determine b so that i(b) = 0.\nAnswer: -1, -1\/2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2024.999997629 - 2025. What is r rounded to six decimal places?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29*y - 145 + 103 + 55 - 30*y.\nAnswer: -y + 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*t - 39*t + 1114 + 281 = 0 for t.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o, 1 b, 1 i, and 1 h when four letters picked without replacement from {f: 1, i: 4, b: 3, h: 5, o: 1, y: 6}.\nAnswer: 4\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-1)\/7)\/(1\/(-2)). Let x = 36 - 35.7. What is the closest to -1 in x, 5, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-625)\/30 + (405\/20 - (-9)\/(-36))?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -2147, -4222, -6297, -8372?\n\"Answer: -2075*w - 72","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*r = -3*r + 2*r + 28872 - 29057 for r.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 1, p: 3, z: 6, d: 3}. What is prob of picking 1 p, 1 d, and 2 z?\nAnswer: 27\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 1353104?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -6*u + 4. Let s be x(-5). Let r be (s\/(-2))\/((-7)\/14). Let f = r + -31. Solve -f*z - 3*k - 2*k - 3 = 0, 3*z - 27 = 5*k for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -30, -243, -830, -1977, -3870, -6695?\n\"Answer: -31*i**3 - i**2 + 7*i - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48*y + 2632 - 1304 + 7072 = 168*y for y.\nAnswer: 70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13 (base 12) to base 6.\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 126698506?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8)\/(-6)*(-97)\/((-14744)\/513).\nAnswer: 9\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = i**3 - 11*i**2 + 11*i - 5. Let d be w(10). Suppose 5*x + 227 = 5*p - 23, d*p = -x + 220. What is the units digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5.32 times 1.7236\nAnswer: -9.169552","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 33476 is divided by 135.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1bc4d (base 14) to base 4.\nAnswer: 101111231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 598?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*u - 5*x - 1, 3 - 16 = 4*u - x. Let o be (5\/((-15)\/u))\/((-1)\/(-12)). Suppose -2*y - y + 12 = d, 0 = 3*y + 2*d - o. Solve h + y*h + 5 = 0 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.019 and 0.23402.\nAnswer: 0.21502","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.0630089 and 14?\nAnswer: -0.8821246","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-953 - -938)\/((-3)\/2*4\/6)\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 5*h**3 + 25*h**2 + 63*h - 57. Is n(16) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1162\/293 greater than 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-6)\/(-33) - (-753)\/33 is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l**(-13\/6))**(8\/11)\/(l**(-1\/22)\/(l**(-1\/19)*l*l)))**10 assuming l is positive.\nAnswer: l**(7175\/627)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*z**4 - z**4 + 6*z**4)*(13 - 13 + 7*z - 4 + z + 4 - 3*z + 3*z - z + (0*z + 2*z + 0*z)*(0 + 4 - 3) + 0 + 0 + 2*z + z + 3*z - 3*z).\nAnswer: 36*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 708 minutes before 2:18 PM?\nAnswer: 2:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -9 - -6. Let s be ((-572)\/1)\/(u - -2). Find the second derivative of 8*r**5 - s + r + 572 wrt r.\nAnswer: 160*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) be the second derivative of -k**5\/10 + k**4\/6 + 2*k**3\/3 + 5*k**2\/2 - 6*k. Let g be t(-3). Suppose 4*z - g = 163. What is the tens digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0059545 rounded to three decimal places?\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5\/7 + 33\/56. What is the nearest to 1 in 0.4, 1\/5, m?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 5, k: 13}. What is prob of sequence oo?\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = c**3 - 5*c**2 + 8*c - 10. Let n be a(4). Let p(x) be the third derivative of 0*x + 0*x**4 - 2*x**2 + 0 + 1\/240*x**n + 0*x**3 + 0*x**5. Factor p(i).\nAnswer: i**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, e: 1, t: 2, c: 1, j: 1, q: 2}. Give prob of picking 1 j and 1 q.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6*(-84)\/1440*26\/(-91)?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 2*r - 10396 = 0, -r + 5282 = 3*h - 10296. Does 3 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 492 minutes before 2:20 PM?\nAnswer: 6:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.8, -7, 4, 122, -2, 5, -19 in descending order.\nAnswer: 122, 5, 4, -0.8, -2, -7, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j**9)**(2\/25) assuming j is positive.\nAnswer: j**(4\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -3*u**2 + 2203*u - 400584. Calculate k(403).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = -0*a + 1. Suppose f - 3 + a = 0. Suppose 3*n = -c + 195, -f*n = 2*c - 0*c - 126. What is the greatest common factor of 6 and n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 585412741 to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 69833985?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (3\/(-2))\/(3\/6). Let k = l + 3. Suppose 3*o - 47 - 181 = k. What is the highest common factor of 19 and o?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -107*q**3 + 24*q - 24*q - 81*q**3 + 86*q**3.\nAnswer: -102*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3186\/63)\/6 + -8?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 24769570?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 262647531 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: Put -34, 1, 3 in decreasing order.\nAnswer: 3, 1, -34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 6*g - 38. Let d = -6236 - -6241. Calculate m(d).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-42)\/12)\/(2\/(-12)). Suppose 0 = -3*b + x - 3. What is the units digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(77) + -3*(sqrt(77) + -2*sqrt(77)) + sqrt(77))\/(-2*sqrt(1584)) + ((2*sqrt(392))\/sqrt(7))\/(sqrt(48)\/(sqrt(18)\/sqrt(3))).\nAnswer: 43*sqrt(7)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = o**3 - 10*o**2 + o + 5. Let i(y) = 7*y**3 - 92*y**2 + 9*y - 27. Let z(a) = -6*d(a) + i(a). What is z(32)?\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -510 or -509?\nAnswer: -510","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) be the third derivative of -c**6\/120 + c**5\/6 - 7*c**4\/8 + 19*c**3\/3 + 2604*c**2. Give h(8).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 1, x: 2, v: 3, i: 4}. Give prob of sequence piv.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-792)\/(-27) - (-18 + 1206\/54).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 193ab5c (base 13) in base 7?\nAnswer: 130235133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 + (-8 - 0) + -7?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -128*q**3 + q**2 - 375*q.\nAnswer: -768","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 11440615+-1306.53\nAnswer: 11439308.47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 9, i: 1, l: 10}. What is prob of picking 1 i and 1 l?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + n - 15 = 0. Suppose 4*v - j = 55, 0 = v - n*j - 12 + 3. Suppose -p + 11 + v = 0. What is the greatest common divisor of p and 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1\/311 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 4*k**2 + 2*k - 5. Let p(v) = -5*v**2 - v + 6. Give 6*a(d) + 5*p(d).\nAnswer: -d**2 + 7*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out -820 + 4.\nAnswer: -816","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - o)*(131*o**2 - 131*o**2 + 17*o**3 + (3*o**2 - o**2 + 0*o**2)*(4 - o - 4) + (o**3 + 2*o**3 - 2*o**3)*(1 - 1 + 1) + 2*o**3 - 1 + 1).\nAnswer: -18*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -n**3 - 4*n**2 + 9*n + 1. Let k be z(-6). Let l = k + 130. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -100 by -155.\nAnswer: 20\/31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3437762761?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Do -23 and -22 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -5*t**4 + 40*t**3 + 195*t**2 + 205*t + 75. Let o(l) = 3*l**4 - 20*l**3 - 96*l**2 - 102*l - 37. Let m(q) = 5*o(q) + 2*v(q). Factor m(u).\nAnswer: 5*(u - 7)*(u + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-65)\/(-12)*(-106008)\/(-73827)?\nAnswer: 70\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -63*x**5 + 32*x**5 + 32*x**5 - 3*x**4 + (3*x**3 + 0*x**3 - x**3)*(-3*x**2 - 2*x**2 + 4*x**2).\nAnswer: -x**5 - 3*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -2*j + 2*n, 0*j + 20 = 5*j + 2*n. Find the third derivative of -1 - 18*b**2 - 13*b**4 + 12*b**4 + j*b**3 - 6*b**4 wrt b.\nAnswer: -168*b + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-1 - (-104)\/12)*12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -53 (base 15) in base 16?\nAnswer: -4e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) 29 (b) -5 (c) -4 (d) -5\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r - 2*d - 691 + 693 = 0, -2*r - 1 = d for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 842321607 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve h + 390*q - 1 = 393*q, 0 = 6*q for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 600 - 96*f**4 - 600 + (-f**2 - 4*f**2 + 3*f**2)*(2*f**2 + 3*f**2 - 4*f**2) + (f + 1 - 1)*(0*f**3 - 6*f**3 + 3*f**3) - f**3 + f**3 - 3*f**4.\nAnswer: -104*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 118 + -95. Let a = 129 + -16. What is the remainder when a is divided by q?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 19*r - 37. Let j = 22 - 27. Let o(q) = 28*q - 56. Let i(p) = j*o(p) + 7*v(p). What is the units digit of i(-9)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12637 is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -1195.51350001 plus -17?\nAnswer: -1212.51350001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 122*v = 20*v + 510 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 37.52091 millennia?\nAnswer: 37520.91","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 2*v**3 - 2*v**2 + 13*v + 38. Determine n(-3).\nAnswer: -73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -24, -43, -88, -165, -280?\nAnswer: -439","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -890 - 1 = -11*j. What is the remainder when 323 is divided by j?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*-15.5.\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5 - 8. Let r be z + 5 + 1 + -3. Let k = 0.097 - 0.097. Which is the closest to k? (a) r (b) -3\/8 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 2*y - 1. Let c(h) = -h + 9. Give c(t) + 3*n(t).\nAnswer: 5*t + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g, 1 d, and 1 j when three letters picked without replacement from djdgdgjgjdjgdsddddss.\nAnswer: 12\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s when two letters picked without replacement from {s: 2, o: 1, h: 1}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-2\/11)*l**(-3))\/(((l\/(l*(l*l**(-4)*l)\/l))\/l)\/((l\/l**(-5\/6))\/l)) assuming l is positive.\nAnswer: l**(-287\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 152 and 532684.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = 2*m + 6, 6*n + 1 = 2*m + 3*n. Let r = -679 + 676. Let k(w) = w**2 + 5. Let u(x) = -1. Determine m*k(f) + r*u(f).\nAnswer: -f**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 5 + 1 + (2 + 2 - 2)*(-1 + 3 + 0) - 1 + 12 - 4)*(-9*n - n + 15*n) to l*n + s and give l.\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -244*m - 63. What are the prime factors of f(-7)?\nAnswer: 5, 7, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = i**3 - 9*i**2 + 3*i + 3. What are the prime factors of w(9)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 696 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: Convert 3112211 (base 4) to base 15.\nAnswer: 4108","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (48\/1280*30)\/(24\/(-576))\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 11*r - 16. Is w(6) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -53 + 28. Let k = 35 + a. Suppose -4*r + 84 = 4*d, -2*d + 23 = r + d. What is the least common multiple of k and r?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 29\/234024 and -1\/1200.\nAnswer: 11701200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 4, -40, -170.37, 3.1?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -358288*y. Let h(p) = 247*p. Determine h(r(u)).\nAnswer: -88497136*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sgzsgxussssgsxssgsgg. Give prob of picking 1 x and 1 z.\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -141103 (base 5) to base 14.\nAnswer: -216a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 674625 to the nearest integer?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 52914 (b) -10 (c) -100\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 40771, -2\/7, 0.9, -1?\nAnswer: 40771","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l\/l**(2\/3)))**(1\/12)\/(l\/(l*l**1*l))**40*(((l*l**(-2\/3))\/l)**(2\/17))**(-8\/7) assuming l is positive.\nAnswer: l**(171671\/2142)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) be the third derivative of o**6\/120 + o**5\/15 - o**4\/24 - 7*o**2. Let g be z(-4). What is the remainder when (-4 - 0)\/g + 19 is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00043271 to 5 dps.\nAnswer: -0.00043","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d = 490*m - 487*m + 3, -3*m - 54 = -12*d for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 38 and 3.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + 2*sqrt(192))**2 + 1 - (5*2*sqrt(1200) + sqrt(1200) + 1)**2.\nAnswer: -144431 - 408*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 684*m - 1373*m = -691*m + 3564. Solve 0 = -14*u + 1726 - m for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.6 - -0.9. Let o = 1.07 - 0.07. Let s = 116 - 116.5. Which is the closest to 1? (a) o (b) h (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5 - 3. Suppose b - v*b = -5. Suppose -10*n + 91 = -9. Solve b = 5*j - n, -4 = -u - j for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + 3 + 9 + -6?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 70*a + 60 = 82*a. Suppose 0 = -2*t + 4, -32 = -5*q - a*t + 48. What is the remainder when 195 is divided by q?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0 and -1293531.\nAnswer: -1293531","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.4, -4\/9, 130, -2\/11, 3, 85?\nAnswer: 130","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 105914530.\nAnswer: 2, 5, 1409, 7517","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -77 + 7?\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 128273107 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.421872 weeks in microseconds?\nAnswer: 859948185600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1111 + -2.\nAnswer: 1109","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-22 - -21) + -2 + -3 + 1?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is (-301772)\/(-20) - (-22)\/55 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1078 and 7938?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wiwiiwwiwiwiiiiiiii. Give prob of sequence iiw.\nAnswer: 52\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -68*a - 15841 + 15977. Find v such that -2*v**4 + 0 + 18\/5*v**3 - 6\/5*v**a - 2\/5*v = 0.\nAnswer: -1\/5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*u - u**2 + 2*u + 4*u**2 + (-u - 2*u + u)*(-4*u + 5 - 5) - 2*u**2 + u**2 - u**2.\nAnswer: 9*u**2 - u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 214702321 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = -7*w - w. Sort -5, -1, w in decreasing order.\nAnswer: w, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 7 = -4. Suppose -157 = -3*a + 2*u - 3*u, -n*u + 211 = 4*a. Is 22 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that 2*h**2 - 464*h + 26912 = 0.\nAnswer: 116","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 41\/2 of a centimeter?\nAnswer: 205","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2 or -2491?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 36*g**2*l + 2*g**2 - 312*g + 55*l wrt l?\nAnswer: 36*g**2 + 55","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, -0.2, -2, 10\/9 in descending order.\nAnswer: 10\/9, -0.2, -0.5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in one sixteenth of a century?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 104, -52, 6.\nAnswer: -52, 6, 104","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45*l = 4*q + 42*l + 5, 0 = 4*l - 28 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 11) in base 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 17*n = 168. Let b be (1530\/n)\/(-3)*(-6)\/(-3). Which is smaller: -169\/2 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -19 - -22.15. Let i = -0.25 - w. Let j = i - -0.4. What is the third biggest value in j, 2\/5, 2?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4825112711 rounded to three decimal places?\nAnswer: 0.483","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -81120 + 17466*h + 81120.\nAnswer: 17466*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(245) + sqrt(245) + -1 + -1)**2 + sqrt(245) + (-5 + (sqrt(180) + sqrt(180) + 2)**2 + sqrt(180) - sqrt(180)) + sqrt(180) + -3.\nAnswer: 5*sqrt(5) + 1697","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 56\/837 and -43\/186?\nAnswer: 1674","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 65*q = -7*q + 216. Suppose -5*t + b - 4*b + 2855 = 0, 0 = -q*t + 2*b + 1694. Does 12 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -n**2 - 4*n + 8. Let h be x(2). Let c(d) = -2*d + 4. Let s(t) = -t. Let y(f) = -c(f) + 5*s(f). Let g be y(-3). Put h, g, -2 in descending order.\nAnswer: g, -2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that 5*x**5 + 76895*x**4 - 461565*x**3 - 230695*x**2 + 1230860*x + 923100 = 0.\nAnswer: -15385, -1, 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3 + -7. Let t be (2 + 0)*-2 - -7. What is the nearest to -6 in x, t, -1?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 55914 * -1.963\nAnswer: -109759.182","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence grm when three letters picked without replacement from rvkrgrrm.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 22 or 24?\nAnswer: 22","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4\/5? (a) -2\/11 (b) 5 (c) 9.2 (d) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.2038775 + 1.0161327. Let y = 102 + -100.78. Let i = y - u. What is i rounded to six dps?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, l: 1, m: 1, t: 1, d: 1}. What is prob of sequence dl?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -4158574+-3\nAnswer: -4158577","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.28*-6.\nAnswer: 1.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -0.0092*-6.4\nAnswer: 0.05888","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 312 = -0*u - u, 2*c = 2*u + 120. What is the highest common factor of c and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-16 - -3) + -4 + 2 + 7 + (5 - 0).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1203 + 3703. Let z be (7 + (-4842)\/(-45))*131\/(-6). Let o = n + z. Find the common denominator of -41\/4 and o.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (14 - (-25)\/((-700)\/399)) + 287\/902.\nAnswer: 3\/44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) be the first derivative of -49*y**3\/3 - 2*y**2 + 45*y - 12. Let s(a) = -a + 1. Let d(z) = -n(z) + 4*s(z). What is the derivative of d(m) wrt m?\nAnswer: 98*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48 = 31*a - 19*a for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -25, -38, -49, -58, -65, -70, -73?\nAnswer: -74","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 13 and 260.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:53 PM and 11:27 PM?\nAnswer: 274","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r\/(r*r\/r**(4\/3)))\/r*r)\/(r\/(r*(r**(-7)*r)\/r)))\/(r**(3\/4)\/(r\/(r*r*r**(2\/45)*r))) assuming r is positive.\nAnswer: r**(-1703\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 31 (base 4) to base 15.\nAnswer: d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 592\/152 + 4\/38 - -22. Let s(a) = a**3 - 2*a - 4 + 3*a - 14*a**2 - 2*a**3 + 20. Let p be s(-14). Solve p*n + 5*w - v = -0*n, 0 = 2*n + w - 10 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*w + 4*w + s + 88 = 21*w, 0 = 330*w + 2*s - 5604 for w.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 330619?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*c**2 - 3*c**2 - 2 - c**2)*(-3*c**2 - 2*c**2 + 4*c**2).\nAnswer: 8*c**4 + 2*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 13*b + 94. Let j be o(-7). Suppose -14*r - j*r = -3281. Does 30 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 46877*m. Let z(g) = 3089*g. Give t(z(b)).\nAnswer: 144803053*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*g**3 - 111 + 2*g**3 + 12*g**3 - 16.\nAnswer: 12*g**3 - 127","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 20\/37 - -25\/296. Let t be (-3)\/(-6)*4 - 4 - -2. Which is bigger: t or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-45)*b)\/(b\/(b\/b**44*b))*b**(3\/29)\/b**(-13\/3) assuming b is positive.\nAnswer: b**(-7183\/87)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 138 in -34, 0.5, 2\/7, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 5 (b) 436 (c) -5 (d) -2 (e) -0.2858\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 768*t**2 - 371*t**2 + 3589*t - 378*t**2.\nAnswer: 19*t**2 + 3589*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 2, u: 4, z: 3}. Give prob of picking 3 u and 1 k.\nAnswer: 4\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*h - 11 - 4. Solve 4*u - 26 = h*a, -3*u + u + 5*a + 18 = 0 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.08, -10.9, 0.2, 558 in increasing order.\nAnswer: -10.9, -0.08, 0.2, 558","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = 4*s - 4*k, -12364*s = -12369*s + 3*k + 3 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 2958*p**2 + 87*p + 87. Let a(s) = -169*s**2 - 5*s - 5. Determine 87*a(k) + 5*j(k).\nAnswer: 87*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -9747 - -9747.7029. Round n to 2 decimal places.\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*c - 75 = 93 for c.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 169*r + 93 = 262 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*a**3 + 1042*a**2\/11 + 2172*a\/11.\nAnswer: -2*a*(a + 2)*(11*a - 543)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12424788 is divided by 155.\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -41850 (b) 5 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that -3*o**3\/7 + 2175*o**2\/7 + 780312*o + 264475092 = 0.\nAnswer: -574, 1873","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 3*v - 192 = -49, -2*q + 66 = -v. Suppose 0 = -5*a + z + 177, a + 5*z - q = 3*z. Calculate the remainder when a is divided by 19.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6478458 millilitres in litres?\nAnswer: 0.0006478458","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 180 a factor of 1078673422?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 1 - 8)*(-3*w + 3*w + w**3)*(-14 + 15 + 9).\nAnswer: -60*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-16)\/(-6))\/(6\/9). Let n(i) = -2*i + 16. Let u be n(7). Solve 4*v + 6 = -u*s, 4*s - 5*s - y = 3*v for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 34549090?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 392044?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 21*y - 1677. Let g be w(80). Let v(u) = 8*u - 17. What is v(g)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -2231*x**2 + 1323. Let t(l) = 2*l. Calculate h(t(n)).\nAnswer: -8924*n**2 + 1323","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 27*15\/135 + 7\/(-7). Suppose -2*x = h - 0*h, 5*h + 2*x - 8 = 0. Solve 3*n + h*b + 9 = 0, k*n + 9 = -n - b for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 110\/(-2475)*(-1365)\/(-13)?\nAnswer: -14\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 911, -3517, -7945?\n\"Answer: -4428*r + 5339","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ooookoook. What is prob of sequence oook?\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 107338.\nAnswer: 2, 7, 11, 17, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Do -42.0318 and -19 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.005650344 rounded to three dps?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 217 minutes before 5:31 AM?\nAnswer: 1:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19286414.\nAnswer: 2, 7, 1377601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rrqq when four letters picked without replacement from {y: 1, r: 3, u: 7, q: 5}?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = h**3 - 6*h**2 - 7*h + 3. Calculate the remainder when 16 is divided by d(7).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 20 - 26. Let u(c) = 2*c**2 + 9*c + 11. What is the tens digit of u(w)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01888522 rounded to three decimal places?\nAnswer: -0.019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*n**5*y**2 - n**2*y**2 - 97*n**2*y - 2*n*y**2 - n - 4501*y**2 wrt n.\nAnswer: 80*n**3*y**2 - 2*y**2 - 194*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*v**3 - 3015105 + 3015105.\nAnswer: 13*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4102 in -0.1, 0.3, 31, 3\/2, -0.04?\nAnswer: 31","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*m**5 + 3424390*m**4 - 13697532*m**3 + 6848756*m**2 + 13697534*m - 10273146 = 0. Calculate m.\nAnswer: -1, 1, 3, 1712191","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 151*-8.\nAnswer: -1208","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 2*i**2. Let c(j) = j**2 - 16*j + 20. Let p be c(15). Let z(q) = 6*q + 5. Let r(l) = 7*l + 6. Let s(v) = p*r(v) - 6*z(v). What is m(s(t))?\nAnswer: 2*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -31 - -2 - (-5 - 26 - -21)\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.1 (b) -4 (c) 89 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + ((sqrt(35)\/sqrt(7) + sqrt(5))*1 - (-1 + (sqrt(20)\/sqrt(4))**2)) + 4.\nAnswer: -1 + 2*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 0.79 (b) 357 (c) 2\/11 (d) -2\/15\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = l**2 + 7. Let u(o) = o**2 + 6. Suppose 2*j - 7 = 7. Calculate j*u(c) - 6*a(c).\nAnswer: c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -4*t**3*y + 99321937*t**3 - 1248992*t**2*y wrt y?\nAnswer: -4*t**3 - 1248992*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t - 4187 = -4*w - 4135, t + 25 = -2*w for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 3 + 0 - (5 - 1)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + -19 + 51 + 12 - 0.\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b, 1 i, and 1 v when four letters picked without replacement from {i: 2, o: 7, v: 1, b: 2}?\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that 7*n**3\/3 - 121*n**2\/3 + 146*n\/3 - 32\/3 = 0.\nAnswer: 2\/7, 1, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -62 - -101 - (-2 - -56)\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 155 = 3*a, -7*a = 4*f - 3*a - 596. Suppose -4*k = -r + 52, 4*r - k = -13 + f. Let u = r - 28. Solve -3*h + 2 = -4*j, 3*h + 0*j - j = -u for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 113*d + 10970 = 1210*d for d.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 23091.117 + 2245528.\nAnswer: 2268619.117","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 778238 a multiple of 57?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -77\/47272458 and 71\/4.\nAnswer: 94544916","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 o when two letters picked without replacement from {o: 3, q: 3}.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -69*w = -240*w - 496071. Does -2901 = w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 45 or -41983?\nAnswer: 45","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide 10 by -50720134.\nAnswer: -5\/25360067","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 5*u = m + 11, -25 = -5*u. Let f = -22 - -24. Sort m, -3, 5, f in decreasing order.\nAnswer: 5, f, m, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by 11134468.\nAnswer: 1\/5567234","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = x + 16. Let h(g) = g**3 - 10*g**2 + 9*g. Let u be h(9). Let o be b(u). Suppose o = 2*n + 4. What is the units digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 1145, 5, -36 in ascending order.\nAnswer: -36, 0, 5, 1145","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 11, c: 3}. Give prob of picking 3 c and 1 m.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -9 + 12. Let s be m + (0 - 0) + 1. Suppose -s*w + 0*v + 4*v = -176, -3*v - 210 = -5*w. Does 13 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7730635 is divided by 4643.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*f = -h + 3*f + 5277, -3*h + 4*f + 15799 = 0. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 43*l + 38*l + 5995 = 0, 0 = m + l - 2993. Is 13 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 191236 to the power of 1\/6, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -8, 0, -5, -3\/5, -25?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 3 - 3)*(-3*b - 2*b + 7*b)*((-4 + 4 + 1)*(0 + 3 - 4) + 0 - 2 + 1) to the form i + u*b and give u.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1172608184.\nAnswer: 2, 11, 17, 783829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -222b + -22?\nAnswer: -2251","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 707, 3, -3, 4, -5 in descending order.\nAnswer: 707, 4, 3, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -19 + 19 + 486*m + 14*m. Let r be d(9). Suppose -2*l - r = 3*l. What is l rounded to the nearest one thousand?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -10*x**2 - 12*x - 16. Suppose 27 = -5*p - 53. Let r(y) = -3*y**2 - 4*y - 5. Give p*r(u) + 5*c(u).\nAnswer: -2*u**2 + 4*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.4 + -0.38. Let c = -0.0155 + f. Round c to three decimal places.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) be the second derivative of -181*n**3\/3 + n + 148. Let l(j) = -3*j**2. Give i(l(t)).\nAnswer: 1086*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 396 + -188. Let v = y - 205. Let i(q) = 5*q**3 + 3*q + 7. Let f(a) = 9*a**3 + 5*a + 14. Calculate v*f(k) - 5*i(k).\nAnswer: 2*k**3 + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 35672?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1986306?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sum 1880.9 and -136.\nAnswer: 1744.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*0.16.\nAnswer: -0.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -21 (base 7) to base 4.\nAnswer: -33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2*y**3 + 0)*(0*y + y - 3*y) + (0*y + 17*y + y)*(-4*y**3 + y**3 + y**3).\nAnswer: -32*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4 + 5. Let v(x) = 32*x**2 + x. What is the tens digit of v(q)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 114 - 108. Suppose -3*m - 3*l + 6 = 0, -2*m = -0*m - 4*l + 14. Let t be -1 + 5 + 1 + m. Solve 3*i = -i - s + 12, -t*s = 2*i - a for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 182 - 174. Let h be 627\/117 - 4\/6. Let y = h + -63\/13. Which is the smallest value? (a) y (b) 0 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) -1 (b) 0.64 (c) 0.102303\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -13.8, -46, -0.04, 26\/5?\nAnswer: -13.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 72, 70, 64, 54?\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 9, 1, -0.22, -4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26053 is divided by 27.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 96 minus 0.43968?\nAnswer: 95.56032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = c - 2. Suppose -6*q - 2*p + 10 = -2*q, 4*q - 5*p = 45. Let m be u(q). Solve -8 = d - m for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -102 - -143. Is 41 >= t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 153096 and 12?\nAnswer: 153096","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/25, -2, -2\/9, -0.3 in descending order.\nAnswer: 2\/25, -2\/9, -0.3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -3*s - 2. Let f(x) = 6 - 3*x**2 - x**3 - x - 2 - 2*x + 5*x. Let m be f(-3). What is the remainder when 6 is divided by r(m)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2332 (base 6) to base 8\nAnswer: 1060","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 17\/2 of a litre?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 692 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: Let l(o) = 180*o**2 + 1112*o + 227. Calculate l(-6).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor x**2 - 6137*x - 73788.\nAnswer: (x - 6149)*(x + 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 20 = -5*q, 0 = q + 2*q - 15. Let c = -6 + 16. What is the highest common factor of u and c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -4*s - 7*s**2 + 4*s**2 + 4*s**2 + 41 - 13*s. Let b be p(3). Put -4, -3, b, 5 in descending order.\nAnswer: 5, b, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -97\/1335402 and -47\/9.\nAnswer: 1335402","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2*1 + (2 - -27) is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 76, 437, 1066, 1993, 3248, 4861?\nAnswer: 6862","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2*4285459.\nAnswer: 857091.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 2432?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 262 - 264.33. Let o = p + 2.5. Let l = o - 0.1699981. What is l rounded to 6 dps?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 30110121 + -34444?\nAnswer: 30020122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 32\/(-40) + 962\/40. Let p = 23 - n. Let t = 2\/159 + -19\/106. Which is the biggest value? (a) p (b) t (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) be the first derivative of -1\/3*b**3 + 0*b - 3 + b**2. Determine n, given that d(n) = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 23 (b) -5 (c) -2 (d) 2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 45 - 279 = 2*p, -p + 561 = -5*i. Let d = 253 + i. What is the remainder when d is divided by 36?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = 7 + 3. Suppose -u = 3*m + 8, -u + 9 = -r*m + 1. Is m at most -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 9*f**3 + 18*f**2 - 12*f**2 - 2 - 3*f + 0*f. What are the prime factors of n(2)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1045 and 95?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 12742, 25507, 38262, 51001, 63718, 76407, 89062?\n\"Answer: -c**3 + c**2 + 12769*c - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000022207375 rounded to 7 dps?\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10)\/(-12)*4\/10?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 77 to the power of 1\/4, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide 113231270 by 22646254.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 170 divide 7748?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1177932975 to the power of 1\/2, to the nearest integer?\nAnswer: 34321","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 4 - 2*q)*(-17 + 17 + 10*q**2) - 1 - 6812*q**3 - 1 + 6757*q**3.\nAnswer: -75*q**3 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -9.36 and 0.283?\nAnswer: 9.643","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 0 + 1)*(3772*g**3 + 1432301 - 1432301) to the form v + q*g**2 + p*g**3 + y*g and give p.\nAnswer: -3772","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 4*o**2 + 5*o + 1. Suppose 0 = y - 6 + 4. Let r(p) = -5*p**2 + 2*p**2 + 400 + 2*p**y - 401. Determine b(v) + 2*r(v).\nAnswer: 2*v**2 + 5*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(2 + sqrt(2) + -2 - (sqrt(32) + 2 + sqrt(2) + sqrt(2))))**2 - (2 + sqrt(98) + 0 + 3)*4.\nAnswer: 292*sqrt(2) + 844","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 3 = 0, 3*r - 1 = -z - 0*z. Suppose -4*w - 8 = -2*m, -1 = 5*w - 3*m + z. Which is the nearest to w? (a) 0.3 (b) 3 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:11 PM and 2:04 AM?\nAnswer: 293","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that 48*q**3 + 16*q + 20*q**4 - 18*q + 36*q**2 + 10*q = 0.\nAnswer: -1, -2\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13 (base 6) to base 10.\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-23 + 4*v**3 - 13*v**3 + 7)*(-v + 0*v + 5*v).\nAnswer: -36*v**4 - 64*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) be the second derivative of p**7\/105 - 8*p**6\/75 + 3*p**5\/10 + 2*p**4\/15 - 4*p**3\/3 - 22*p. Find g such that z(g) = 0.\nAnswer: -1, 0, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 1, r: 2, h: 3, m: 1, v: 5}. What is prob of sequence rrh?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 0 - -121021342?\nAnswer: 121021342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13*2.29911.\nAnswer: -29.88843","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/15)\/(27\/((-2025)\/60))?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = r**3 + 4*r**2 + 4*r + 3. Let z be b(-2). Suppose 0 = 2*l + 5 + z. Let m = l - -13. Is 8 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -75 - -76. Which is the closest to 1\/4? (a) f (b) -1\/6 (c) 0.8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -72 - (5 + -65) - (4 - (-55 + -6)).\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -30\/54241 and 64\/902373?\nAnswer: 9926103","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 13 - 20. Which is smaller: 1 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-911)\/(-5466))\/(2\/156)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 116054611?\nAnswer: 199, 583189","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4861\/4 - 9791\/8. Let z = 15 - 30. Calculate the common denominator of (-60)\/11 + z\/(-5) and c.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4142993?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 505410 - 2205?\nAnswer: 503201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve k + 20*m = 24*m + 23 + 1, -4*k + 4*m + 36 = 0 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-8)\/6*36\/(-8). What is the third derivative of 10*d**r + d**2 - 4*d**6 - 6*d**2 wrt d?\nAnswer: 720*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/(-6)*(-5334)\/(-508)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/x**28*x)\/(x\/(x\/(x\/x**21))))\/(x**(12\/7)*x*x**37) assuming x is positive.\nAnswer: x**(-320\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -498.85 >= -1\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.7 less than -1442394100?\nAnswer: -1442394099.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*l + 20 - 125 = 0 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2\/195 - -344\/4485. Are j and -1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + z + 410 = 0, 0 = 4*b + 2*z - 6*z - 344. What are the prime factors of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 2252*i + 123*i**2 - 136*i**2 + 17 - 2251*i - i**3. What is s(-13)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -22*h**4\/3 + 12806*h**3\/3 - 265172*h**2 + 1027632*h - 811008 = 0. What is h?\nAnswer: 12\/11, 3, 66, 512","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u, 1 q, and 1 x when three letters picked without replacement from qeuexquqexxeqee.\nAnswer: 24\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -137 - -49 - (-62 + 60).\nAnswer: -86","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 21815129*v**5 + 37862508*v.\nAnswer: 436302580*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -1418.5 to the nearest 10.\nAnswer: -1420","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -166 + 1164\/7. What is the closest to -4 in x, 1, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = -5*x + 124 + 249, 3*a - x = 379. Calculate the highest common divisor of 18 and a.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -b - 12. Calculate l(-17).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by -208957.\nAnswer: 5\/208957","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 9\/(-16)*54\/1215*18\/(-39) and -19\/32.\nAnswer: 2080","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2172 + -1510. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 - 11 = 4*a. Let c(q) = -13*q + 1. Is c(a) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 14 - -1003344003?\nAnswer: 1003344022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 2646 divide 1761915834?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*c - 120 + 65. What is the remainder when 53 is divided by c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1 - -1. Let f = 255 + -165. Suppose d = 5*c - 3*l + 4*l - f, -3*l = 0. Is 6 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by -658605?\nAnswer: -1\/131721","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 369 a factor of 4501395?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -603a + 4?\nAnswer: -6036","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 42.42525nm?\nAnswer: 0.000004242525","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(1\/37)*y*y\/(y**(-4)\/y*y)*(y\/(y\/y**(2\/25)))\/(y\/(y**(-15\/7)*y)) assuming y is positive.\nAnswer: y**(25668\/6475)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -k + k - 15037*k**2 - 5182*k**2 - 18653*k**2.\nAnswer: -38872*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: What is 4813 to the power of 1\/2, to the nearest integer?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 157 - 138.8. Let l = r - 18.02. Is l greater than or equal to 0.4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-3 - 74\/(-25)) + 3131\/775. Let s = 3 + 2. Solve -s*n - 4 = -a for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9987 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = d. Let s(t) = -5*t + 887 - 388 - 379. Let m(w) = -6*r(w) + s(w). What is the derivative of m(a) wrt a?\nAnswer: -11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p and 2 c when four letters picked without replacement from {c: 6, r: 6, p: 7}.\nAnswer: 105\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -c - 2. Let d be v(4). What is the units digit of 3\/(d*(-3)\/66)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2.2 + -0.4. Let a = 1.4 - w. Let s = -137 + 1508\/11. Sort s, a, -1 in descending order.\nAnswer: a, s, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 115 = -h + 5*h + 3*u, 3*h + 4*u = 88. Suppose 58 = 2*d + d - 4*p, -3*p = d - h. Suppose -5*y - d = -w, 0 = 3*y + 2 + 1. List the prime factors of w.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = -v + 5532*n - 5529*n, 11*n = 3*v - 28 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 18*o**3 - 2810*o + 2810*o - 75*o**3 - 291 with respect to o.\nAnswer: -171*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 21*t - 121. Let u(v) = v - 13. Let b(k) = 2*m(k) - 18*u(k). Calculate b(-2).\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cwacanacwanatatw. Give prob of sequence taw.\nAnswer: 3\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 481.594 times -276?\nAnswer: -132919.944","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 10130969 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2 + 3)*(0*s - 3*s + 2*s) + 2*s - 3*s - s - 28*s + 273 - 273 + (2 + 3 - 3)*(0 - 4*s + 2 + 3*s).\nAnswer: -34*s + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 156473?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11214 = 8*u + 2902. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1695494 to the nearest 1000.\nAnswer: -1695000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*p**5 + 15445*p**4 - 2*p**2 + 5 - 15445*p**4 + (-4*p + 5*p - 2*p)*(4*p**4 + 0*p**4 - 2*p**4) - 2*p**2 + 2*p**2 - p**5.\nAnswer: -5*p**5 - 2*p**2 + 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/(-7) - (-740)\/259)\/((-2)\/(-8)).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/(4032\/176) - 15\/18?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 56.24805 months?\nAnswer: 0.046873375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 - 4 - -1 - -2 - 2.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 59\/2? (a) 2 (b) -1 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*s - 6*s = 2280. Let i = s + -7965\/14. Find the common denominator of -103\/48 and i.\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2\/541 + 575\/9197. Suppose 0 = 4*j - j + 3. Which is smaller: j or l?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 101324.\nAnswer: 2, 73, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 3 + 1)*(2*x + 2*x - 2*x) - 113*x - 94*x + 30*x to i*x + u and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 224 is divided by 62.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 3 (b) -122\/29309 (c) -1\/4 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -24, 3, 1 in increasing order.\nAnswer: -24, -5, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 15688663 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 40478 and 148.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -71, -71, -69, -65, -59, -51?\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -621 + 0*b - 622 + 1243 - b. Let y(o) = o**2 - 6*o + 6. Let m(z) = z**2 - 7*z + 7. Let q(d) = -6*m(d) + 7*y(d). Calculate n(q(u)).\nAnswer: -u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4132.711 millilitres to litres.\nAnswer: 4.132711","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(-9))\/(((-16)\/12)\/(-2)).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 56 and 889832?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 670 minutes after 3:20 AM?\nAnswer: 2:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 1 * 122599\nAnswer: 122599","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 96419 to the power of 1\/4, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 77\/192 and 17\/2880.\nAnswer: 2880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that 2*x**3\/3 - 2*x**2\/3 - 2*x\/3 + 2\/3 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 86341 to the nearest integer?\nAnswer: 294","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6*a**3*t**5 - 318*a**3*t**4 + 4*a**3*t**2 + a**3 - 2*a**2*t**2 - 782 wrt t.\nAnswer: 360*a**3*t**2 - 7632*a**3*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -9457325 greater than -9457317?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 14735 or -3?\nAnswer: 14735","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 5064*l - 86040. Determine g(17).\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 147406152, 147406153, 147406154, 147406155, 147406156, 147406157?\nAnswer: 147406158","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 1230, 1169, 1044, 837, 530?\n\"Answer: -3*o**3 - 14*o**2 + 2*o + 1245","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) be the first derivative of 2 + 5*y + 1\/2*y**2. Let g(w) = -w - 3. Let i be (-86)\/18 - 8\/36. Give i*g(p) - 3*m(p).\nAnswer: 2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1386.6 kilometers in millimeters?\nAnswer: 1386600000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add together 50461.481 and -3.\nAnswer: 50458.481","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by 1886750\nAnswer: 1\/943375","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 64 and 304.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) be the first derivative of -52*m**2 + 0*m**3 + 0*m + 29\/5*m**5 + 0*m**4 - 46. What is the second derivative of g(y) wrt y?\nAnswer: 348*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 6*g + 8 = 0. Suppose -g*a = -a. Suppose a = -2*r + 7 + 9. What is the units digit of r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 12*q**2 + 3*q - 1175. Calculate h(-10).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 2, p: 4, h: 4}. Give prob of picking 1 h and 2 n.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13999 is divided by 601?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + (-30 - -2) - (12 + -45 - -26)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dcc when three letters picked without replacement from czidczicczdc?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 5743*n - 1. Let u(f) = -373*f - 72. Calculate u(x(r)).\nAnswer: -2142139*r + 301","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*o = -68 - 28. Let b be (-3)\/(-6)*10*109. Calculate the lowest common multiple of (-1)\/(-5) - b\/(-25) and o.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*i + i = 513. Suppose -325 = 6*s - i*s. Calculate the remainder when 47 is divided by s.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -20*o + 293. Let l be j(15). Which is the closest to -2\/41? (a) 1\/4 (b) 0.4 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -41\/15114122 and 117\/1464344.\nAnswer: 423195416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13886155 is divided by 289?\nAnswer: 283","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -249 + 270. Suppose -3*b = 2*d - 5, -30*d = -26*d - 5*b - v. Let q(j) = j**3 - 4*j**2 - 3*j - 5. Give q(d).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 339 is divided by 189?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/3, -11.7, 0.3, -2, -4, 24?\nAnswer: -11.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16 = 2*c - 4*w, -2*c = -w + 818 - 808 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 9 and 2757.\nAnswer: 8271","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 + -15 + 11 + -18?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 65490?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Do 4\/9 and 6044 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 28 + -17. Let g be ((-66)\/(-2))\/((-30)\/(-40)). Suppose -4*x + 124 = -g. Calculate the remainder when x is divided by m.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*k + 49 + 60 = -34 for k.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1.919 + -2.029. What is the smallest value in k, -2\/3, -4, -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -l**3 - 10*l**2 + 8*l - 27. Let x be v(-11). Let f be -2 + 1 - (x - 3). Let h be (-2 + 0)*10\/f. Solve -h*y + 1 - 11 = 0 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.08 - -1.08. Suppose 0*l + 4*l = -5*k + 23, 5*k = l + 13. Let w = l + -12\/5. Sort -1, c, w.\nAnswer: -1, w, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(612)*-1 + 5 - ((sqrt(204) + sqrt(204)*1)*-3 - sqrt(204) - sqrt(204))\/(sqrt(120)\/sqrt(160)))**2.\nAnswer: 156*sqrt(17) + 11501","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.176 and 1.51.\nAnswer: 0.26576","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*r + 75 - 885. Does 27 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 83\/1632, -13, -2\/11?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23 - 564*y - 193*y + 44 - 21.\nAnswer: -757*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q = 2*x - 1687, -5*x = -6*q + 2*q - 4175. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 15 and 65.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 129*g + 6412 = -42*g - 287*g for g.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:33 PM and 8:51 AM?\nAnswer: 558","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + (-432)\/42 + 4?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27267 is divided by 64?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 8*y**2 - 1 - 2*y - 3 + 5. What is the least common multiple of (11\/3 - 2)*3 and d(1)?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3.2 - 21.2. Let t = 14 + l. Let x = -145 - -142. What is the closest to t in 4, -1, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = a**3 + 9*a**2 - 7*a + 22. Let n(g) = 3*g - 106. Let k be n(32). Let s be i(k). Let j(b) = -b**3 - 9*b**2 - 9*b + 7. Determine j(s).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -546\/443 + 58593745\/5316. Let g = z - 11033. What is the common denominator of g and 51\/14?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -165335, -165332, -165327, -165320, -165311?\n\"Answer: x**2 - 165336","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 3*t**2 + t + 1. Let g be x(-1). Let z(p) = -10*p + 2. Let k be z(2). Let o = -10 - k. Solve 0 = g*l - 5*l + o for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 167*r + 3. Is p(2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -135, 110, -1.\nAnswer: -135, -1, 5, 110","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 5\/16*(-1 + 1811). Let a = w - 2297\/4. Find the common denominator of -93\/8 and a.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0 (b) 4 (c) 0.1386 (d) 1\/151\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 divided by 2645759?\nAnswer: 9\/2645759","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -3, -2, -4, 22 in descending order.\nAnswer: 22, 5, -2, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 0.1, 3, 4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 4, j: 1, z: 1, a: 2}. Give prob of sequence kaz.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 792 - 36 = i. List the prime factors of (-1)\/(-4 - -3) - i\/(-3).\nAnswer: 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6007 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 217849 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4 + -1. What is the third derivative of 2*n**2 + q*n**4 - n**2 + n**4 wrt n?\nAnswer: 96*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (1 + -2)*(-2)\/4. Let n be 3 + 3\/12*-10. Factor 0*g + h*g**2 - n.\nAnswer: (g - 1)*(g + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00035943 to five decimal places.\nAnswer: -0.00036","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 2*u - 3. Let v(z) = -5*z - 32. Let x be v(-7). Let a(o) = -o + 1. Let w(p) = -2*p + 2. Let l(f) = -13*a(f) + 6*w(f). Calculate x*h(c) - 8*l(c).\nAnswer: -2*c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -5 + 2 - (13 - 21)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1320042 a multiple of 47?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -22 - -37. Suppose -2*k + 2*n - t = 3*k, -n + 9 = -4*k. Let g = -58\/357 - -1\/51. Which is the third smallest value? (a) k (b) 2 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 102 and 1 + (-1)\/4 + (-90)\/(-8).\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 716 divide 2393217828?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -183*q - 24157 = 650*q for q.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 743 by -8387.\nAnswer: -743\/8387","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 102963052 to the nearest integer?\nAnswer: 469","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -2 - ((1 - -1) + -3). Let u be 2 + (-3)\/3 + o. Let b be u\/1 + 0\/(-1). Solve 4*w + w + 10 = b for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3687.477 + 3686. Round z to 1 dp.\nAnswer: -1.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nxxrngrrrgnnznxn. What is prob of picking 2 z, 1 g, and 1 x?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*k*r**4 - 14*k*r**3 - k*r**2 + 98*k*r + 167847*k - 3013957*r**3 + 3 wrt r.\nAnswer: -48*k*r - 84*k - 18083742","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1208 by 2.\nAnswer: -604","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Product of -5 and -124989.\nAnswer: 624945","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7 + -6.7. Let w(p) = -p**2 + 5*p + 8. Let s be w(7). Let z be (-2)\/(-7) - s\/(-21). Which is the closest to z? (a) r (b) 6\/7 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -4*z**3 + 2*z**2 - z. Let r be 21 + 0 + (-9)\/3. Suppose -5 = -x - 7. Let v be (-3)\/r*3*x. Give f(v).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6793, -8343, -9893?\nAnswer: -11443","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-24)\/(-16))\/(3\/8). Suppose k*j = -j - 17400000. What is j rounded to the nearest 100000?\nAnswer: -3500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kug when three letters picked without replacement from akxussxaaaxgasxauu?\nAnswer: 1\/1632","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - ((2 + -12 - 4) + 4).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*p + 4*l + 81 + 11, 3*p = -4*l - 70. Let u be (-4)\/(-8) - (-7)\/p. Sort -2, u, 0.1.\nAnswer: -2, 0.1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -2*z**2 + 19*z + 177. Calculate s(-6).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*p - 6*f + 546, -4*p - 251*f + 252*f = -373. What is the remainder when (-75)\/(-2)*(-76)\/(-6) is divided by p?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 157 = 57. Calculate the common denominator of -19\/4 and ((-46)\/(-50))\/((-8)\/w).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 + s + 1 - 6)*(-211 - 203 + 405) in the form t + h*s and give t.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 3*b = 18, 2*b + 4 = 4*x + 3*b. Solve s + x*w = 3*w - 2, -w + 8 = 5*s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 184\/48 + 1\/6.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that -2*j**2 - 102386*j\/5 + 40956\/5 = 0.\nAnswer: -10239, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18895*a**2 + 9400*a**2 + 9495*a**2 - 2*a**3.\nAnswer: -2*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Add together -104.41997 and -1.7.\nAnswer: -106.11997","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(-3 + sqrt(19))**2 + -1 + sqrt(76).\nAnswer: -4*sqrt(19) + 27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -g**2 - 8*g - 3. Let b be s(-5). Suppose x = -14*l + 9*l, -2*l = 5*x - 92. Let u = x + -20. Solve u = 3*n - 6*n - b for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 30177 rounded to the nearest one hundred?\nAnswer: 30200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 93 = s + 4*s, -4*t + 2*s = -114. Let m = -23 + t. Suppose -2 - 2*h**m - 1 + 1 + 4*h**2 = 0. What is h?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = -5*c + 53495, 2*c + 3*c - 53491 = 3*g. Suppose -70*y - c = -89*y. What is the units digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 y and 1 i when four letters picked without replacement from {y: 4, i: 2}.\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 114 + -113.94. Let b = -0.2 - -0.34. Let k = t + b. Is k > 8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*g = -18*g - 2. Suppose -4 = -5*k + 3*s + 6, g*s - 4 = -2*k. Let d = 6 + -3. Solve d*t + 5 = -k*t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 69185022?\nAnswer: 2, 3, 43, 229, 1171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*m + 22*m + 12 = 0 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3 in 2, 0.1, -0.2, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -7 in -0.4, -0.5, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = b**2 - 9*b + 2. Let r be t(9). Suppose h - 11 + r = 0. What is the units digit of h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -108, -2, 10, 140, 4 in decreasing order.\nAnswer: 140, 10, 4, -2, -5, -108","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (48\/(-54))\/(20 - 18)?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2\/3981 - 386129\/55734. Find the common denominator of r and 35\/1256.\nAnswer: 8792","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10 + 20 + -18 + 2 + 6?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 435a9 (base 11) in base 16?\nAnswer: f731","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -119, -464, -1031, -1814, -2807, -4004?\nAnswer: -5399","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 393*r - 12653. Calculate h(27).\nAnswer: -2042","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11 (base 10) to base 15.\nAnswer: b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3409 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1416 and 6980172?\nAnswer: 708","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 46 = -5*t + 202, 0 = -2*z - t + 267. Does 14 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:29 PM and 11:40 PM?\nAnswer: 251","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2 - 25)*(-3 - 2 + 4)*(8 - 18 - 9*j**2 + 1).\nAnswer: -207*j**2 - 207","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 172 (base 12) to base 10.\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -363*o - 77. Let t(v) = 14*v + 3. Let k(r) = 3*n(r) + 77*t(r). Let s be k(1). Which is bigger: -4 or s?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) be the third derivative of -4*y**7\/105 - 3*y**6\/10 + 6*y**5\/5 + 71*y**4\/6 + 20*y**3 - 3*y**2 + 65*y. Suppose a(f) = 0. What is f?\nAnswer: -5, -2, -1\/2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - 11) + -149 + 140.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 76, -418, -718, -812, -688, -334, 262, 1112?\n\"Answer: 2*c**3 + 85*c**2 - 763*c + 752","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -17435 - -24640. List the prime factors of j.\nAnswer: 5, 11, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by 236760.\nAnswer: -1\/78920","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) be the third derivative of -11*c**8\/784 + c**7\/245 - 16*c**2. Solve z(y) = 0.\nAnswer: 0, 2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f = 5*p + 77, 20 + 34 = 3*f for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -52*i**3 + 73*i**2 - 936*i + 83261824.\nAnswer: -156*i**2 + 146*i - 936","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 5 - (2 - (0\/3 - 1)). Suppose -942 = -s*v + v. Let q = -608 + v. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.062*-0.07\nAnswer: 0.00434","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (14 + -14)\/((-2)\/(-1)). Factor 0*o + 0*o**2 + 4\/7*o**3 + 4\/7*o**4 + i.\nAnswer: 4*o**3*(o + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1850?\nAnswer: 2, 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = p**3 + 9*p**2 + 7*p - 6. Let j be k(-8). Suppose 0*y = j*s - 2*y - 16, 4*y - 16 = 0. List the prime factors of s.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -692359*h. Let z(s) = -15*s. What is z(w(b))?\nAnswer: 10385385*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = l**3 - l**2 + 1. Let g(w) = 3*w**3 + 13*w**2 - w + 18. Let b(d) = g(d) - 2*x(d). What are the prime factors of b(-15)?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 67.2 and 2.\nAnswer: 134.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = 5*l - o - 36, 4*o + 27 = 3*l. Suppose -3*b + l = 4*a + 5, -b - 4*a = -16. Sort b, -5, 4 in decreasing order.\nAnswer: 4, b, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -4*u**2 + 0*u**2 - 1 + 0*u**2 + u**3 + 0*u**3. Let f be a(4). Which is smaller: f or 2\/5?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (69 + 71 + 72 - 278 + 714*t + 68)*(13*t**3 - 4*t**3 + 2*t**3) as d + b*t**4 + a*t**2 + o*t + x*t**3 and give x.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) be the first derivative of b**6\/3 - b**4\/2 - 81*b**2\/2 - 72. What is the second derivative of a(u) wrt u?\nAnswer: 40*u**3 - 12*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = p**3 - p**2 - 4*p - 1080000. Let y = -32 - -32. Let g be s(y). What is g rounded to the nearest 100000?\nAnswer: -1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-162)\/(-81) + 5\/1 + 0.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 164*z - 1288 = 717*z + 3153 + 2195 for z.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*x + x - 2*x + (-x + 2*x - 3*x)*(1 - 1 - 1) + 4*x - 4*x + 2*x + (-3 + 5 - 3)*(-2*x + 2*x + x) - 9*x + 20*x + 3*x)*(-2 + 1 - 2).\nAnswer: -54*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 776\/194 + (-18)\/1\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 18706*l**2 - 2*l + 23. Is k(2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15\/(-5) + (-5)\/((-20)\/32)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = b - 21, 20 - 50 = 5*f - 5*b. Let q be 1 + f\/3 - 82\/(-123). Solve q*y + 3*y = -0*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by 151130?\nAnswer: -2\/75565","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 95*u. Let v(o) = -1797*o + 1. What is y(v(j))?\nAnswer: -170715*j + 95","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (-3 - (-9 + -1)) + (1281 - 1291) - -123\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 24413 + -24411.5153. Round r to zero dps.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7 - -10. Suppose 0 = -4*t + 5*s - 11 + 1, -6 = 3*t - q*s. Suppose -6*u + u = t. Solve 0*i + 5*i + 5 = u for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 705, 709, 715, 723, 733?\nAnswer: 745","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = g**2 + 9*g - 15. What is the remainder when 26 - 27\/(-9) - -3 is divided by l(-12)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 583, 1153, 1723?\n\"Answer: 570*p + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5 (base 8) to base 12.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 61747 and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 11 - 6. Suppose z = b*z. Solve z = -t - 0*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*z - 2*z + 12. Let w(i) = -i**2 - 6*i + 2. What is w(z)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7 + -2. Let k = -4.8 + d. Let j = k - 0.2. Is 2\/5 at least j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6 - 1. What is the biggest value in l, 3\/2, -1\/5?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -26 not equal to -54?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1.4 + 4.5. Let y = 2.9 - o. Which is the biggest value? (a) 29\/3 (b) y (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8.7413 times 0.124?\nAnswer: -1.0839212","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + k + 2162 = 0, 0 = 5*o - 4*k + 2*k - 2159. Suppose -4*h + o + 31 = 0. What is the remainder when h is divided by 55?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4047*d - 5758 - 4777*d + 5758 as h*d + c and give h.\nAnswer: -8824","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -b**2 - 474*b - 54964. Calculate y(-278).\nAnswer: -476","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mphmhhhphmhpp. What is prob of sequence hh?\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 21 - 21.00067. What is m rounded to 4 dps?\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) be the first derivative of 10\/7*d**7 - 5\/2*d**6 + 5\/2*d**2 + 10\/3*d**3 + 0*d**5 + 60 + 0*d**4 + 0*d. Find the third derivative of a(n) wrt n.\nAnswer: 1200*n**3 - 900*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(-5 + (sqrt(77) + 1*-2*sqrt(77))\/sqrt(11)))**2.\nAnswer: 160*sqrt(7) + 512","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 608 is divided by 91?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1353 - 2393. Let n = -1039.9998489 - k. What is n rounded to 5 dps?\nAnswer: 0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 548, 2, 4, -2, 1, 3.\nAnswer: -2, 1, 2, 3, 4, 548","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 279 minutes before 9:23 AM?\nAnswer: 4:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = g**2 - 13*g + 28. Give h(9).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4630151 is divided by 308674?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 597*s**3 - 415*s**3 - s - 8*s + 12*s - 5*s + 74 wrt s?\nAnswer: 1092*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3 - -753776?\nAnswer: 754001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3 + -3 + 8\/2. Let o be 1\/2 + (-7770)\/(-12). Suppose -3*q = a*z - 151 - o, -5*q = -3*z + 592. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 35, 2\/5, -0.4, 3\/28?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*-6*(-2 + sqrt(2268)) + (1*sqrt(63)*-6 - sqrt(63)*-3*-2))**2.\nAnswer: -60480*sqrt(7) + 1781712","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2625534513 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 10*h + 55*h**3 + 6 + 3 - 15*h**2 - 54*h**3. Let x be l(15). Let q be 2\/11 - (x\/(-33) - -5). Which is greater: q or -2\/149?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18033450781 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that 10*h**3 + 84*h**2 + 361*h + 5488 + 815*h + 5*h**3 - 13*h**3 = 0.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((sqrt(7488) + 0)**2 + (sqrt(208) + 1)**2 + 0 + sqrt(13) + 3 + sqrt(13)).\nAnswer: 30*sqrt(13) + 23100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3 + -0.672.\nAnswer: -0.972","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 7, 34, 83, 154, 247, 362?\n\"Answer: 11*d**2 - 6*d + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-35)\/(-10)*(20\/14 - 1). Which is the third smallest value? (a) 1\/3 (b) v (c) 0.3 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1353 a multiple of 41?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 4*b**3 + 33*b**2 - 243*b - 2141. Calculate a(-9).\nAnswer: -197","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = 5*t + 61, z - 68 = -3*t - 2*t. Let w = z + -38. Solve 0 = -5*p + w*l + 10, -5*p + 4*l + 2 + 8 = 0 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 27065879 to the nearest integer?\nAnswer: 300","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 12629796 divided by -17\nAnswer: -12629796\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/r**(5\/6))**(2\/15)*r**19*r*r\/(r\/((r\/((r\/(r\/(r\/r**(1\/7))*r))\/r))\/r)) assuming r is positive.\nAnswer: r**(6667\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = 2368 - 8053. Is (-1 - 0)\/((-5)\/q)*-1 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by 54\nAnswer: -1\/27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = d**3 - 9*d**2 + 4*d + 8. List the prime factors of i(9).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*w + 2*s, -4*w + s = -2*w - 9 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0115265832 to 2 decimal places.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 111*s - 26*s**5 - 112*s - 2*s**2 + 3*s**2 wrt s.\nAnswer: -1560*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xii. Give prob of sequence iix.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 43 + -18. Solve -8*q = 1 - z for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3481 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjujlwuurujj. Give prob of sequence rw.\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -114670445*k**6 - 257567*k**2 - k + 32 wrt k.\nAnswer: -13760453400*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -533 and -2?\nAnswer: 1066","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -4 (b) -2 (c) 13 (d) 1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -112967098 by -171422.\nAnswer: 659","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 860086361\/380 + -2263378. Let u = s - 22\/285. Find the common denominator of 4\/(-90)*((-66385)\/(-44))\/17 and u.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -195733.81 rounded to the nearest 100?\nAnswer: -195700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*g - 326 + 109 = 0 for g.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 418 minutes after 3:56 PM?\nAnswer: 10:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 6059*h**3 + 6059*h**3 - 8*h**2 - 3 - 12116*h**3 + 7*h. Determine y(3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = d + 1. Let t be v(1). Suppose -5*g - q + 51 = -t*q, 4*g - 5*q - 24 = 0. Calculate the remainder when g is divided by 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000464083 to six dps.\nAnswer: -0.000464","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 451\/1603 + 1\/229. What is the closest to b in 4\/3, -3, 9?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 498\/(-38) + (-63)\/((-33516)\/56).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.054 - 0.05434. Round m to five dps.\nAnswer: -0.00034","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.0629, -0.1, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*s + 8*s**2 + 28*s**2 + 0*s**2 - 13839 + 13843 to the form y*s + q + f*s**2 and give f.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (0\/1)\/(-3 + 4). Let t be 9 + -1 + (j - 3). Let f = t - -30. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -206 - -206. Suppose 36*q + 6 = 38*q. Solve i = -k, -f + 0*f - k = -q for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 7\/17 (b) -2\/3 (c) -1\/36 (d) 2 (e) -2\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 835786972?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4447?\nAnswer: 4447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 208 - -551. Suppose 6*z = 585 + i. Calculate the greatest common divisor of 28 and z.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 89144 and 43609849.\nAnswer: 43698993","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -1215*l + 4218. Let o(m) = 406*m - 1406. Let y(k) = -9*b(k) - 24*o(k). Differentiate y(j) wrt j.\nAnswer: 1191","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28478101 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = n**2 - 2. Let q = 21 - 18. Let p be i(q). Differentiate p*y**3 + 1 + 2*y**3 + 6 - 7*y**3 wrt y.\nAnswer: 6*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -382*u + 60*u - 746 = -102. Let r(n) = 9*n**2 + 2*n - 1. Let x(f) = f**3 - 46*f**2 - 10*f + 5. Calculate u*x(z) - 11*r(z).\nAnswer: -2*z**3 - 7*z**2 - 2*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -1, 4, 7?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = -p - 2*o, 55 = 5*p - 5*o + 20 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1184 + -2 - (-31 + 38). Round n to the nearest one hundred.\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00005202 to 6 dps.\nAnswer: 0.000052","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rogcigore. Give prob of sequence rig.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 12 - 12.1. Let t = 1 + 2. What is the nearest to d in t, 0, -2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1 - -7. Suppose 384 - 144 = 6*o. What is the highest common factor of p and o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (108\/15)\/(3\/10). Find the common denominator of 121\/6 and ((-23)\/(-4))\/((-33)\/i).\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (8 - 10)*4\/8*-11*1\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0 + 3 - (-354)\/3. Suppose -2*p + p = t. What are the prime factors of p\/(-7) + (-2)\/7?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.123 and -0.32?\nAnswer: -0.03936","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.703 in -8\/5, 3\/4, 0?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*z + 2*z + 3*b - 1634, -2*b = 3*z + 1234. Let n = -213 - z. Let a = n - 141. Calculate the highest common divisor of 7 and a.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 434 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -5930580 greater than or equal to -5930581?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 410 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -114? (a) 1\/11 (b) 1\/3 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/(j\/(j\/(j*j**0*j*j))))**(-10)\/(j**1\/j*j**2\/j))**8 assuming j is positive.\nAnswer: j**152","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dddlgddvdddi. What is prob of sequence vd?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 3264, -1035, -8206, -18249, -31164, -46951?\n\"Answer: -1436*w**2 + 9*w + 4691","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 2*p**3 + 2. Let o be 1*(-161)\/35 - (-4)\/(-10). Let m(s) = -3*s**3 - 5. Determine o*v(i) - 2*m(i).\nAnswer: -4*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 9487.67329 rounded to the nearest ten?\nAnswer: 9490","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (p**3 - p**2 + p**2)*(3899 - 6388 + p**2 + 4021).\nAnswer: p**5 + 1532*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -2001111210 (base 3) in base 9?\nAnswer: -61453","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (6\/7 + -1)*2. Let m be (0 + (-14)\/7)*-1. Let h(d) = 14*d - 8. Let i be h(m). Sort i, 1, p in ascending order.\nAnswer: p, 1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2 - 6. Let a be (6\/n)\/((-30)\/80). Factor 2\/11*w**4 + 0*w**a + 0*w - 2\/11*w**3 + 0.\nAnswer: 2*w**3*(w - 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -156 or 2\/3?\nAnswer: -156","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 29 = 5*k, 5*j + 5 - 20 = -5*k. Let x(i) = -i**2 + 8*i - 3. Let s be x(7). Calculate the remainder when k is divided by s\/6 - (-14)\/6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13758 to the power of 1\/2, to the nearest integer?\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*l + 3*y + 3, -19 = 5*l - 2*y + 3*y. Let q = 72 - 66. Let t be (-16)\/(-12)*l + q. Solve t*s - s - 3 = 0 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/2)\/((-7)\/(-98)*7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36*r + 160*r = 38*r + 1376 for r.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 46077 + -46076.9979597. Round k to five decimal places.\nAnswer: 0.00204","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 69810 is divided by 8724?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5 - (-29 - -27)) + -2.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1.83 + 1.93. Is -123 greater than or equal to h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + -6*(4*sqrt(187)*1*2)\/(sqrt(44) + ((sqrt(308)*2 + sqrt(308))\/sqrt(7) - sqrt(44))) + -5.\nAnswer: -8*sqrt(17) - 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (11529\/18792 - (-40)\/(-64))*2.\nAnswer: -2\/87","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*p - 4*p + 3*p - 2)*(11 - 7 + 16)*(-p**4 - 3*p**3 + 3*p**3).\nAnswer: 20*p**5 + 40*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1\/3*(-30)\/5. Let u be -4 + (4 - (-3 - h)). Solve 4*w - u = -13 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) be the first derivative of -17\/6*y**6 + 0*y**4 + 0*y + 0*y**5 + 0*y**2 - 6 + 28\/3*y**3. Find the third derivative of c(w) wrt w.\nAnswer: -1020*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2119448?\nAnswer: 2, 264931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 751?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*p - 4, 3*p + 16 = 3*c + 5*p. Let q be (-4)\/c - (-129002)\/3. What is q rounded to the nearest 10000?\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (22\/(-605))\/(2\/(-10))\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1030955039 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Calculate 0\/((-3)\/(-3))*8\/(-8).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1253 + -1252.99999485. Round x to 6 decimal places.\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -45*u**4 + 33645*u**3 - 89465*u**2 + 48435*u - 7450 = 0. What is u?\nAnswer: 1\/3, 2, 745","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 249491 is divided by 1503.\nAnswer: 1496","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 40018?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 2*o + 67. Let u be m(-31). Which is the closest to 0.08? (a) 3 (b) -2\/11 (c) 1 (d) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = -6*d. What is the third derivative of 32*h**3 + d*h - 63*h**2 - 33*h**3 + 62*h**4 + 0*h wrt h?\nAnswer: 1488*h - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 4*f**2 + 2 - 3 + 0*f + 4*f - 2*f. Determine y(1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2\/(-5) + (-84)\/(-10). Suppose 5*x = -3*h + 7*h - 17, q = h - 5*x. Suppose -h*d = -20 + 5. What is the units digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (8\/12)\/((-2)\/6). Let w = d + 3. Let o(s) = -s**2 - s - 1. Let z(g) = 4*g**3 + g**2 + 2*g - g - 2*g**3 + 1. Give w*z(l) + o(l).\nAnswer: 2*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -125 - -186. What is the tens digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 - 123 = -4*t. Calculate the remainder when t is divided by 20.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2 + 12. Let b(d) = -11 - z - 7*d + 17 - 7. Calculate the remainder when b(-8) is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from puuppppuupupu. Give prob of picking 3 p.\nAnswer: 35\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - l + 2*l - 19 = 0, 4*a = 5*l + 1. Put -18, a, -11 in decreasing order.\nAnswer: a, -11, -18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1\/3007 - 297697\/12028. What is the common denominator of h and 31\/15?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 67*p**3*q**4 - 41*p**3*q**2 - p**3*q + 2*p**3 - 38*p**2*q**2 - 20*p*q**2 + 188*q**5 wrt q?\nAnswer: 1608*p**3*q + 11280*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = c + 20. Let s be f(18). Suppose 4*h + s = 6*h. Is 7051\/h - (-12)\/(-114) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 108*d**3 - 5*d**2*v + 12399*v wrt d?\nAnswer: 324*d**2 - 10*d*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 18277, 7, 1, -10 in increasing order.\nAnswer: -10, 1, 7, 18277","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 minutes after 2:39 AM?\nAnswer: 2:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/5, 0.12, 0.1?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a micrometer in nanometers?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2, 0.3, 1\/2, -178, -3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -458 + 138. What is u rounded to the nearest 10?\nAnswer: -320","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 - 3 = -g. Let p = g + 1. Suppose 7*a + m + 7 = 2*a, -a - 2*m = 5. Sort a, p, 5 in decreasing order.\nAnswer: 5, p, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -44421, -88643, -132655, -176451, -220025, -263371, -306483?\n\"Answer: g**3 + 99*g**2 - 44526*g + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -14 in 5630, -4\/5, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12)\/7*(-6)\/(-24)?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - a = -26. Let j = -23 - a. Suppose -26 + 11 = -j*x. What is the lowest common multiple of x and 7?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -55 divided by -11.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 279\/(-2)*6\/(-9). Suppose -u = -5*j + 57. What is the remainder when j is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(147)\/(sqrt(7) - sqrt(343)))\/sqrt(3).\nAnswer: -sqrt(7)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 11535230 rounded to the nearest 1000000?\nAnswer: 12000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -51\/21835 and 31\/55.\nAnswer: 21835","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.3 and -5305105701693.\nAnswer: -5305105701692.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 36, 131, 286, 501, 776, 1111?\n\"Answer: 30*t**2 + 5*t + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -288, -576, -864, -1152, -1440, -1728?\n\"Answer: -288*a","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 17*x - 1187*x**4 + 1186*x**4 + 51*x**2 - x**3 - 52*x**2 + 0 + 2 in the form i*x**3 + k*x**4 + g*x**2 + y*x + w and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:15 AM and 10:10 AM?\nAnswer: 535","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 36337425?\nAnswer: 3, 5, 31, 15629","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 10 = 4*o, -3*o + 3*m + 13 = 2*o. Suppose o*w - 4*w + 106 = j, -2*w - 4 = 0. Calculate the highest common divisor of 22 and j.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 38*f - 23 - 53 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -m**2. Let j(z) be the second derivative of -z**6\/180 + z**3\/6 - 3*z. Let c(k) be the second derivative of j(k). Give n(c(x)).\nAnswer: -4*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l = 3*m - 28, 2*l = 2*m + 43 - 55 for m.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Solve -39 = 7*j + 6*j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = i. Let s be m(5). Suppose -c = 5*q - 3*c + 274, -s*q - 272 = -c. Let p = q - -259. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a centimeter in millimeters?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 6113849, 24455471, 55024865, 97822031, 152846969, 220099679?\n\"Answer: 6113886*a**2 - 36*a - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2333102131031 + -31?\nAnswer: -2333102131122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2587 - 2342. What is the highest common factor of w and 70?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -215832090 - 594.4?\nAnswer: -215832684.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -118.6 - -118. Round u to one dp.\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -28305 rounded to the nearest 1000?\nAnswer: -28000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*q + 13335 - 1815. Suppose -10*b + 11*b = -5*x + q, 0 = 5*b. List the prime factors of x.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11, 3, 1 in descending order.\nAnswer: 3, 1, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 165 and 1950?\nAnswer: 21450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -56*q = -5*d - 30*q - 28*q + 5, -d = -3*q - 18 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9384 divided by -85774.\nAnswer: -4692\/42887","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put together 2.3 and 536260527253.\nAnswer: 536260527255.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2307 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*t - 14 = -27*i + 29*i, -t = 4*i + 28. Factor t - 3\/2*s**3 - 111\/2*s**2 + 57*s.\nAnswer: -3*s*(s - 1)*(s + 38)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -38501, -76664, -114827, -152990, -191153, -229316?\n\"Answer: -38163*z - 338","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor f**2\/6 - 54*f + 4374.\nAnswer: (f - 162)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 97\/212 and 71\/763041?\nAnswer: 3052164","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 20*k**3 + 7*k**2 - 3563 with respect to k.\nAnswer: 60*k**2 + 14*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*d**2 + 2*d - 9*d**3 + 10*d**3 - 2*d**2 as z + a*d**2 + m*d**3 + i*d and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1561713, 3123434, 4685155, 6246876, 7808597?\nAnswer: 9370318","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 28*a**2 + 3*a + 3. Let h be v(2). Which is greater: h or 122?\nAnswer: 122","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 8*d**2 - 17*d. Let y(l) = 15 + l - 3*l - 5*l - 2*l. Let o be y(7). Let b = o - -42. Let r(t) = -3*t**2 + 6*t. Determine b*m(p) - 17*r(p).\nAnswer: 3*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -91*l**3 + 3 - 3 - 41*l**3.\nAnswer: -132*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -758, -1529, -2288, -3029, -3746, -4433?\nAnswer: -5084","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = f + 10. Let l be s(0). Solve y + 4*y = -l for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -44.043 - -0.043. Let l = -11 - a. Let k = -32.04 + l. What is k rounded to 1 dp?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -17 - -8. Let j = -5 - t. Let u = -5.2 - -5. What is the smallest value in u, j, 3?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 5*u**2 - 17*u - 14. Let h(x) = -2*x**2 + 6*x + 5. Let m(f) = -8*h(f) - 3*z(f). Let l be m(-6). Let w = l - 1. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -365763790 - 2*j + 365763790 - j**2.\nAnswer: -j**2 - 2*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 92 = 15*x, 4*l + 20 = -0*l + 2*x. Sort -4, l, 12, 5 in ascending order.\nAnswer: -4, l, 5, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1497062668 a multiple of 191?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 6, o: 4, b: 3}. What is prob of sequence ee?\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 772*m**3 - 18*m**2 - 16*m - 1. Let w(i) = 1544*i**3 - 33*i**2 - 33*i - 2. Let a(u) = -11*j(u) + 6*w(u). What is the second derivative of a(n) wrt n?\nAnswer: 4632*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3036\/(2 - 0\/(-1)) a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 3, q: 4, e: 1, l: 1, s: 1, d: 2}. Give prob of sequence uqdq.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -170 and -24407.\nAnswer: 4149190","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -n + 11. Let w(x) = -6*x + 56. Let j(b) = -11*d(b) + 2*w(b). What is the units digit of j(-15)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -19875 - -19923. Solve x + w - 43 = 0 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -71\/692 and -23\/336.\nAnswer: 58128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*r + 3*i - 20, -3*i + 7 = -r + 3 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3588)\/1840 - (-12)\/10 - (-41)\/12?\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20274751 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d*d**(-6\/7)*d**(23\/3) assuming d is positive.\nAnswer: d**(164\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -4, -132, -2, 61 in descending order.\nAnswer: 61, 5, -2, -4, -132","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = -3*g - p, 0 = 2*g - 4*p + 6*p + 8. Let f(j) be the third derivative of -145*j**4\/24 + 41*j**3\/6 + 3*j**2. Is f(g) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 33*h - 3104. What is b(94)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 360 minutes before 7:09 AM?\nAnswer: 1:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(11\/2)\/u)\/(u**(-12)*u) assuming u is positive.\nAnswer: u**(31\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v = -5*y + 25, -3*v + 72 = 5*y + 71 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*f - 2*u, -1 - 1 = u. Let h = 1 + f. Let t = -1897\/9 - -211. Which is smaller: t or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 83.0031 + -83. Round x to three dps.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -12*p**3 - 3*p - 8. Let k(d) = 13*d**3 + 3*d + 9. What is 7*b(h) + 6*k(h)?\nAnswer: -6*h**3 - 3*h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 14*m**3 + 52434*m**2 + 67396*m + 14976.\nAnswer: 2*(m + 1)*(m + 3744)*(7*m + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = 2*f - 39, 4*f - 4*q - 35 = 33. Let o(a) = 8 + 8 + a - f. Give o(0).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 2\/1619?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3400)*4 + sqrt(3400))\/sqrt(2).\nAnswer: 50*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -59\/826994 and -59\/56?\nAnswer: 3307976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/25 of a gram in milligrams?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19091511 is divided by 20?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*i - 216 + 76 = 0. Let t(q) = 3*q**2 - 3*q + 3. Calculate the remainder when t(4) is divided by i.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -12033201 - -10?\nAnswer: -12033131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -41671336*g**3 - 40529*g**2 + g + 59.\nAnswer: -250028016","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 50005636 is divided by 16668541.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 119*t + 5. Let v be i(-2). Let o = -147 - v. List the prime factors of o.\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7555891.\nAnswer: 7, 23, 71, 661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -37185 + 37185.1075. Which is the third biggest value? (a) -5 (b) 3\/4 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 o when four letters picked without replacement from {o: 4}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -151 = -q + 3*r, -r - 3*r + 20 = 0. Let f = q + -44. What are the prime factors of f?\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -634217, -1268434, -1902651, -2536868?\n\"Answer: -634217*x","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 327 in 13, 4\/23, -3?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gqigxhigggg. What is prob of picking 4 g?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Solve 13*z + 326 = 313 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -359045*j**2 - 79141 with respect to j.\nAnswer: -718090*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 11\/4 of a litre?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (6\/(-8))\/(5\/(-40)). Suppose 4*b + l - 4*l = -41, 5*b + 5*l = -95. Let k be (-4)\/6 + b\/c. Sort k, -4, 0.2 in ascending order.\nAnswer: -4, k, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-116)\/(-36) - (-10)\/(-45). Let y be (-3)\/((-36)\/44)*a. Let o = -4 + 37. What is the highest common factor of y and o?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9764862 to the power of 1\/2, to the nearest integer?\nAnswer: 3125","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -594*d**3 - 299*d**3 - 601*d**3 - 593*d**3 + 2072*d**3.\nAnswer: -15*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 9\/11 + 4\/22. Is (0\/r - -69)*1 a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.1 - 0.3. Let d = 109 - 403. Let x = -289 - d. What is the second biggest value in x, 2, 2\/13, p?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 7, h: 3}. What is prob of picking 1 v and 2 h?\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 647 minutes after 3:36 AM?\nAnswer: 2:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 633a42 (base 11) to base 13.\nAnswer: 297299","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/(-4) - 15609\/(-20460))\/((-60)\/(-100)).\nAnswer: 2\/93","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -186 + 14. Let b = -60 - k. Calculate the highest common factor of 16 and b.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39687 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -12 in -2\/177, -0.5, 0.7?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 16720 a multiple of 176?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2 or 13\/5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -v**3 - 2*v**2 + v + 2. Let t(p) = 83*p + 2 + 5*p**3 - 12 + 5*p**2 + 1 + 3*p**2 - 86*p. What is -9*n(k) - 2*t(k)?\nAnswer: -k**3 + 2*k**2 - 3*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 154*v + 137 + 1013 + 1776 for v.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3.3, 1\/6, -3, 0.2 in decreasing order.\nAnswer: 3.3, 0.2, 1\/6, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 + (10 + -18 - (-5 - 2))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*v + 108 = -8*v. List the prime factors of 1*-1*(v - 81).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -9*j**2 - 2*j - 5. Let g(h) = h**2 + 1. Calculate 4*g(l) + o(l).\nAnswer: -5*l**2 - 2*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = m**3 - 96*m**2 + 1982*m + 4176. Determine w(64).\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5960\/(-894))\/((-4)\/3).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 823609 is divided by 164689?\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:09 AM and 8:44 AM?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29*x**3 - 233 + 4*x**2 - 285 - 151*x**3 + 518.\nAnswer: -122*x**3 + 4*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -10\/253, 15\/7, 3, 2\/25?\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 83070, 332290, 747658, 1329174, 2076838, 2990650, 4070610?\n\"Answer: 83074*g**2 - 2*g - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 638\/(-60) + (-3)\/(-9) and -1\/5.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2327753303 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -2\/11 (b) 0.4 (c) 1\/126 (d) 2\/601\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 265919, 531828, 797727, 1063610, 1329471, 1595304, 1861103?\n\"Answer: -f**3 + f**2 + 265913*f + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -73, -162, -299, -472, -669, -878, -1087?\nAnswer: -1284","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -27101397 greater than -27101397?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 236*a**3 + 3*a**2 + a - 2. Determine k(-1).\nAnswer: -236","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -33954 by 1.\nAnswer: -33954","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 17282183 less than 17282180?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -38840*b - 13*b**3 + 38840*b.\nAnswer: -13*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3 (b) -4 (c) 33.8 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0007851 rounded to five decimal places?\nAnswer: 0.00079","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/7*(-4)\/(-6)*28\/(-44).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - (-7 + 6 - -3).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 3\/32 of a kilogram?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -6*q**3 - 64*q**2 + q - 8. Let d(m) = m**3 + 12*m**2 - m + 1. Let r(g) = -5*d(g) - u(g). Suppose -3*c - 4*o = -11, 3*c + 5*o + 3 - 19 = 0. Give r(c).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -2*l. Let h = 2 - -1. Let x(t) = t. Let b(r) = h*x(r) + a(r). Let y(z) = 6*z. Suppose 8*i + 30 = 18*i. What is i*b(u) - y(u)?\nAnswer: -3*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -58586 = -876*h + 37774 for h.\nAnswer: 110","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2*c**2 + 2*c**2 - c**3)*(2 - 4 + 0) + 10*c**3 - 17*c + 17*c)*(-4*c + 3*c - 4*c).\nAnswer: -60*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 22337 and 6055.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 307102?\nAnswer: 2, 97, 1583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -842, -1063, -1318, -1613, -1954, -2347, -2798?\nAnswer: -3313","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2013 and 33.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -9 times 415978\nAnswer: -3743802","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -349 + 14*f**2 + 244 + 15*f**2.\nAnswer: 29*f**2 - 105","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -9792*q**2. Let b(g) be the third derivative of -g**5\/30 - 7645*g**2. Determine l(b(z)).\nAnswer: -39168*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 394 minutes before 3:23 AM?\nAnswer: 8:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a litre in millilitres?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -211*a**3 + 358 + 101*a**3 - 8*a**3 - 135*a**3 - 99 wrt a.\nAnswer: -759*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - -7) + 7 + (2 - -1)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -2*w + 6. Suppose d + 64 = 3*y, -12 + 84 = 3*y - 3*d. Let u be 3\/((-3)\/4)*y\/(-10). Suppose 0 = -t - 5, u = 2*j + t + 3. Calculate c(j).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 81839 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 203040 - 3?\nAnswer: 203033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5 - -7. Let u be (-5)\/c*(-8)\/10. Suppose 6*j = 14 + 88. Solve 0 = 3*g + 2*r - 7, 4*g - u*r + j = 3 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 1, k: 1, u: 2, c: 2, i: 5, z: 2}. What is prob of sequence czku?\nAnswer: 1\/2145","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 1 = 11, 30 = 5*x + 4*o. Suppose -5*w = x*r - 6 - 4, -w - 2 = 0. What is the highest common divisor of r and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*m**5\/5 + 1923*m**4\/5 + 5067*m**3\/5 + 609*m**2\/5 - 5076*m\/5 - 2532\/5 = 0. What is m?\nAnswer: -211, -2, -1, -2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 11\/3 in -0.2, 0.3, 1\/3, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 45 + -48 + (0 - -1 - 1)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 193512, 193508, 193504, 193500?\nAnswer: 193496","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (-4 + -4*sqrt(304) - -6*(sqrt(304) + 4 - sqrt(304))) + 0 + 3)**2.\nAnswer: -704*sqrt(19) + 5348","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -6*c**2 + 10*c - 1. Let g(t) = 7*t**2 - 14*t. Let o(n) = -5*g(n) - 6*v(n). Suppose 0 = -3*y + 8 - 23. Calculate o(y).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 u when two letters picked without replacement from {u: 2, s: 1, l: 3, k: 1}.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 115580 rounded to the nearest 10000?\nAnswer: 120000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 22, -4, 5 in ascending order.\nAnswer: -4, 5, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mpmm when four letters picked without replacement from {p: 1, m: 3, t: 5}?\nAnswer: 1\/504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 14 and 1211?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -33 (base 11) to base 9.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -7*g. Let k(x) = 6*x**2. What is k(v(o))?\nAnswer: 294*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + y - 1011 = -4*g, -5*g + 3*y = -2511. Let q = g + -202. What is the tens digit of q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-592*f + 3681*f + 3382*f)*(-3 + 1 + 1) to the form p*f + i and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 248 and 1116?\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*g**2 + 3*g**4 - 9 - 4 - 514*g**3 + 515*g**3 to the form r*g**4 + a + y*g**3 + v*g + d*g**2 and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nhnh when four letters picked without replacement from {n: 2, h: 7}?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) be the first derivative of f**6\/10 - 9*f**5\/25 + 4*f**3\/5 + 7. Determine m, given that q(m) = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 4611, 18624, 42023, 74808?\n\"Answer: 4693*v**2 - 66*v - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 + 4 = 2*u - 3*f, -69*u - 3*f - 18 = -75*u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/3, 0.19106, -5\/6, -5, 1?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = 2*m - 32, 20 = 4*m + 3*k + 2*k. Calculate the remainder when 39 is divided by m.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -128471 = -91*f - 131201 for f.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 18 - 5908\nAnswer: -5890","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.23 - -0.07. Let q = 3\/7 - -1\/14. Let r be 54\/(-55) + 2\/11. What is the closest to q in r, 0, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6 + 1. Let y be (1\/(-2))\/(w\/100). Solve -j + 5*r = 2*j + 15, -2*j - 4*r - y = 0 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) be the first derivative of 81*g**2\/2 - 67*g - 98. List the prime factors of s(7).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3\/5, -0.5, -956, -6, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = -3*o + 3, -5*z + 14 = -6*z + 4*o. Let w(i) be the first derivative of i**3\/3 - i + 1. Is w(z) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11001 (base 2) to base 11\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3, 0.1, -4\/5, -2\/9, -4, 9\/35, -0.39?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29804 is divided by 92?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2\/13 (b) -0.5 (c) 13 (d) -412\/5 (e) 2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3556.993 + 3560. Let w = s - 0.007. What is the nearest to w in 3, 2, 1\/4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1329 + -1329. Suppose -273*d - 2 = -272*d - 2*c, 5*d - 3*c - 11 = m. Suppose 1\/7*i**3 - 1\/7*i - 1\/7 - 2\/7*i**d + 3\/7*i**2 = 0. What is i?\nAnswer: -1, -1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2654074616.\nAnswer: 2, 967, 343081","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*b = -31*b - 5*a + 17, -5*b = -4*a + 2. Let z = 3 - 0. Solve -4*y + 5*l = 14, -b*y = -l - z*l + 10 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by 44149220.\nAnswer: 3\/44149220","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3783, -4064, -4335, -4590, -4823?\nAnswer: -5028","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -790508, -790302, -790096, -789890?\n\"Answer: 206*j - 790714","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 1812, 2343, 3230, 4473, 6072?\n\"Answer: 178*y**2 - 3*y + 1637","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.51? (a) -417\/182 (b) -2\/9 (c) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 87\/16 and -69\/176.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13118*k = 40066 + 75645 + 2351 for k.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 17 + -16. Calculate the remainder when 3 is divided by x.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pqbptpv. Give prob of sequence vv.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5876 is divided by 314.\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 0\/(-8 + 13) - -521?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 28505240 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: What is the value of 90 + -129 + 22 + 16?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.04? (a) 5 (b) -3\/7 (c) 0.3 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3704439?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -38*i - 166*i + 64 - 40 + 42 - 22*i. List the prime factors of s(-2).\nAnswer: 2, 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 858111885 by -3.\nAnswer: -286037295","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 6 in 0.2, 32.5, -3\/7, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(-3)\/(r*r**4\/r) assuming r is positive.\nAnswer: r**(-7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 321 minutes after 8:19 AM?\nAnswer: 1:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -5302662 (base 8) in base 7?\nAnswer: -14663123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -2025*h - 10. Let q be d(-6). Let c be (-1)\/((-11)\/2) - q\/220. Which is bigger: c or -54?\nAnswer: -54","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -2*y**2 - 5*y + 6. Let i(h) = 3*h**2 + 4*h - 7. Let g(p) = 3*i(p) + 4*n(p). Let z be g(8). Solve -4*x = -11 + z for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = 4*n + 2*y, n - 5*y = -2*y - 7. Find the third derivative of 9*k**5 + 0*k**5 - 21*k**2 + 47*k**n - 24*k**2 wrt k.\nAnswer: 540*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1407 and 199941?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*y - 9 - 102 = 3*u, -4*u = -5*y + 91. Solve 16*s = 35 - y for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -32 - -34. Let i be (4 - b) + -6 - -6. Solve 4 = i*r + 2*r for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (3 + -1 - (-90)\/(-40)) + 15\/30. Factor 0*n + 1\/2*n**2 + 0 - l*n**3.\nAnswer: -n**2*(n - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -38*c**3*v + 1136*c**3 + 9*c**2*d**2*v - d**2 wrt v.\nAnswer: -38*c**3 + 9*c**2*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -14564 to the nearest 100.\nAnswer: -14600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -4*o**3 + 2*o**2 + 4*o. Let n be x(-4). Which is the smallest value? (a) -5 (b) 0.4 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -2*x**3 + 10*x**2 + 28*x - 15. What is i(7)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 85 divide 61607813?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = a + 4795. Let m(h) = 556*h**2. Determine g(m(v)).\nAnswer: 556*v**2 + 4795","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -12816 - -12817. Suppose 4*w + 6 - 30 = 0. Let s = 8 - w. Put 5, o, s in descending order.\nAnswer: 5, s, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6399862097 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -9.89 + 10.89. Which is the nearest to m? (a) 31 (b) 2 (c) -2\/5 (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 23122135?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0008347 to five dps.\nAnswer: 0.00083","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) be the third derivative of o**5\/30 + 8*o**3\/3 + 123*o**2 + o. Let q(i) be the first derivative of y(i). Let t(p) = -45*p. Determine 65*q(u) + 6*t(u).\nAnswer: -10*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 22 - 16. Let m be (2 - (-1)\/(-2))*36. What is the highest common factor of m and k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -52\/11 and (1 + 0)\/(50\/(-95)).\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 2\/75 of a minute?\nAnswer: 1600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -45002366 (base 7) in base 2?\nAnswer: -1110110100000100100010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 205557207 and 11.\nAnswer: 2261129277","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 6.5 times 32\nAnswer: 208","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3510 by 390.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 - 2 = -g. Is (-302 + 10)\/((-3)\/g) a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 11 = -3*f - 0*h, 0 = 5*h + 10. Let q = 13 + f. Suppose 180 = -28*u + 38*u. What is the lowest common multiple of u and q?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (207\/18 - 6)*(-2)\/(-3 + 1). Let v(g) be the second derivative of 2\/3*g**4 + 0*g**2 + 30*g + f*g**3 + 0. Find the second derivative of v(t) wrt t.\nAnswer: 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -338, -692, -1186, -1700, -2114?\nAnswer: -2308","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(91) + -1*sqrt(91) - sqrt(91))*-6)\/(6*sqrt(7)*1).\nAnswer: sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1210275?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 138 and 78?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -95 less than -2038.6?\nAnswer: -1943.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 6\/25 of a millennium?\nAnswer: 24","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 6, d: 12}. What is prob of picking 3 d?\nAnswer: 55\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t = -46*t - 360 for t.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 + -5)*1*(-1 + 2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*f + 1152 = 44*f. What is the highest common divisor of f and 18?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 35810 to the power of 1\/6, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/((-16)\/(-12)) - 22\/(-4). Suppose -3*w = x*k - 69, -73 = -7*k + 4*k + 2*w. Solve -3 = 3*c - 6, c = -4*n + k for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -295, -296, -297, -298?\n\"Answer: -v - 294","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 478 and 12.\nAnswer: 2868","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 375 a factor of 10081441?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 1, b: 2, k: 3, t: 6, p: 1}. What is prob of sequence kpmm?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(2\/27)\/((q*q\/(q*q**4))\/q*q) assuming q is positive.\nAnswer: q**(83\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5 - 5013\/(-1008))*((-3696)\/(-4851))\/(4\/7)?\nAnswer: -1\/28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3575.\nAnswer: 5, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-16)\/24)\/(1\/3). Let x be (0 + a)\/(2\/(-4)). Solve -2*o + 3*o = x for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 26363*h*r**2 - 52048*r**2 wrt h?\nAnswer: 26363*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000002808 to 7 decimal places.\nAnswer: 0.0000028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -4*r. Let m(u) be the first derivative of -27*u**2\/2 - 261. Determine d(m(i)).\nAnswer: 108*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -37.16 to the nearest integer.\nAnswer: -37","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 41863937 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1 + -231001?\nAnswer: -231002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 17 + c**3 - 17 - 3*c - 3*c**2. Let s be m(4). What is the remainder when (-4)\/(-6)*708\/s is divided by 30?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (58 - 60) + (0 - (6 + -10 + 5)) + 73\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -418*b - 3881. Calculate m(-9).\nAnswer: -119","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - -5) + -5 + (5 - 2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -1296311*u**2 - 2. Let p(y) = -28*y**2. Give v(p(b)).\nAnswer: -1016307824*b**4 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r**6*r*(r\/r**(-1)*r*r)\/r)**(-34) assuming r is positive.\nAnswer: r**(-374)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qqgogccccoccqcg. What is prob of sequence ogc?\nAnswer: 1\/65","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 + 8 = 8*j. What is the closest to 0 in j, 5, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, n: 18}. Give prob of sequence nl.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rvm when three letters picked without replacement from {r: 1, z: 4, m: 2, b: 1, v: 1}?\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/(-4) + (-9)\/(-2). Suppose 3*m + 1 = -4*b - 4, 2*m = -b - 5. Suppose -b = 3*a + s - 8, -5*a - 3*s = -n. Put 1, -3, a in descending order.\nAnswer: a, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40127257481 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -n**2 - 4*n + 4. Let x be o(-4). Let w = 38 - x. Let u = -30 + w. Solve 0 = u*z - 0*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 96, 479, 1208, 2349, 3968, 6131, 8904, 12353?\n\"Answer: 11*c**3 + 107*c**2 - 15*c - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -245907841, -245907839, -245907837, -245907835?\n\"Answer: 2*i - 245907843","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 378 + 367 + 352 + 3*k - 1470 + 373.\nAnswer: 3*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -2 + 1 + (-621)\/(-570). Let p = -3\/190 - r. Is 1 >= p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -37806*r + 18897*r + 18900*r. Let v(l) be the second derivative of 1\/12*l**4 - 3*l + 0*l**2 + 0*l**3 + 0. What is y(v(x))?\nAnswer: -9*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -9.1 + -1.9. Let z = -10.7 - u. Which is the smallest value? (a) 1 (b) -2\/3 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-12)\/(-10))\/(0 + (-6)\/20). Let a(r) = 2*r**2 + 5*r - 3. Calculate a(h).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 14*p**3 + 3*p**2 + 3. Let v(l) = -1435*l - 1438*l + 1 + l**3 + l**2 + 2873*l. Give -h(a) + 3*v(a).\nAnswer: -11*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*g - 4 - 0. Let c(h) = h**3 - 4*h**2 - 2*h + 2. Let o be c(2). Let n be (-6)\/((-7 - o)\/(2*1)). Is g at most as big as n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -209 + 212. Solve 0 = b*c - 2*n - 9, 10 + 2 = 4*c - n for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.215*-0.3.\nAnswer: 0.0645","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 78a1 (base 12) to base 3\nAnswer: 200100011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5.935 + 1. Let w = h - 0.065. Which is the fourth smallest value? (a) -3 (b) w (c) 2 (d) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 18, 8, -10, -36, -70?\n\"Answer: -4*u**2 + 2*u + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -33 + 60. Suppose 4*g - 3*q = 43, -g + d = -4*q - 0*q. Let v(w) = 12*w + 17. What is the remainder when v(g) is divided by 17?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 741126704 and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (6\/64*-2*6)\/((-6)\/8)\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2076505050 and 10650?\nAnswer: 10650","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1780, 2593, 3406, 4219, 5032, 5845?\nAnswer: 6658","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.64072 litres in millilitres?\nAnswer: 8640.72","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*r**2 + r**2 + r**2)*(-41*r + 104*r + 68*r)*(-2*r**2 + 5*r**2 - 4*r**2).\nAnswer: -262*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4604*l**3 + 30*l**2 - 32875*l + 2 wrt l?\nAnswer: 27624*l + 60","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = 5*l + 46, -3*l - 13 - 41 = -4*n. Calculate the smallest common multiple of 18 and n.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 23164393 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 4266943 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*m + 6852 = 26472. What is the greatest common factor of m and 20?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*2*sqrt(77))\/(-1*sqrt(1331)) - (sqrt(168)\/sqrt(48))\/(sqrt(8)*2*6).\nAnswer: -395*sqrt(7)\/528","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -746666586 by -512117.\nAnswer: 1458","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4415?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 3798026 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 104850 divided by 104850?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1351270 or -1351248?\nAnswer: -1351270","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 121?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-53)\/((-11660)\/(-280)))\/((-12)\/66)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 3*x**3 - 8*x + 8. Let m(a) = -5*a**3 + a**2 + 15*a - 15. Let q = -23 - -16. Let l(p) = q*u(p) - 4*m(p). List the prime factors of l(-4).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1808687025 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Are -1\/3 and 174.6 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 2*(-180)\/2808*(-7)\/(-210)*9?\nAnswer: -1\/26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1.9892 + -0.0208. Let d = -0.01 - u. Let j = d - 2.4. Which is the closest to -3\/4? (a) 0.2 (b) 3 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 239 - 238.5. Let n = -2.78 - -2.94. Sort m, n, 5, -3.\nAnswer: -3, n, m, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -47.1 - -51. Let k = g + 0.6. Let f = k - 4.50000087. Round f to 7 decimal places.\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6789891 litres in millilitres?\nAnswer: 678.9891","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h - 20 = -10*f + 5*f, 4*h + 35 = 5*f for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3644320.\nAnswer: 2, 5, 22777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-104)\/(-84))\/(-8 + 3 - -25). Is p less than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i + a = 13, 11*a = -i - a + 16 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 24318 = 17*t - 5418. Are -1041 and t nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -11145\/496 - -5673471\/205840. Let h = -16\/83 + k. Calculate the common denominator of h and -75\/4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 6, v: 3, a: 2, i: 2, t: 3}. Give prob of picking 1 i and 1 t.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 2424?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = 8, 57*s = 5*t + 59*s - 26. Solve 4*j - g + 21 = 0, 5*j = t*j + 2*g - 6 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*(sqrt(2904) - sqrt(2904)*-1) + sqrt(2904) + sqrt(2904))*5)\/((sqrt(128) + sqrt(128)*-2)*-2 + 5*sqrt(128)*-2).\nAnswer: -275*sqrt(3)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -391 or -1169\/3?\nAnswer: -391","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 270519 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = p**3 + 11*p**2 + 29*p + 6. Let h be t(-4). Solve -h*w + 4*d = 10, -3*w - 5 = -9*d + 5*d for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -319 - -335 - (2 - 1).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 1950, 3333, 5630, 8835, 12942, 17945, 23838?\n\"Answer: -o**3 + 463*o**2 + o + 1487","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1669, 3023, 4061, 4783, 5189, 5279, 5053?\nAnswer: 4511","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 92 a factor of 36423?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -393853 - -393853.5. Let d = -0.03 + 0.43. What is the nearest to 0.1 in f, -1, d, 0.07?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -6 - -9?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/8, 5, -46\/5, 4, -4?\nAnswer: -46\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 172, 706, 1600, 2854, 4468?\nAnswer: 6442","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*k + 5*t - 37, t = k - 3 + 12 for k.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:50 AM and 11:24 AM?\nAnswer: 634","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 2*z**2 + 3*z - 2. What is c(-3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*m = 6*m + 4, 3*m = 4*p - 6474. What is p rounded to the nearest 1000?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2.02, -3, 3, 4 in decreasing order.\nAnswer: 4, 3, -2.02, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1872 + -1871.93. Put 0.1, -1, 0.2, s in descending order.\nAnswer: 0.2, 0.1, s, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*j + 3*j + 0*j)*(7 - 1 + 9) + 0*j + 0*j + 3*j + (-4 + 1 + 5)*(-j + 0 + 0).\nAnswer: -14*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 148 is divided by 57?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6940\/9 - -771. Sort -0.1, -3, q in descending order.\nAnswer: -0.1, q, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 79375 to the power of 1\/5, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 153 - 147 = 3*h, 86*h + 8 = -2*w + 85*h for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 64600?\nAnswer: 2, 5, 17, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(2\/11))**48*q**(-11)\/((q\/q**(-4))\/q) assuming q is positive.\nAnswer: q**(-69\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -2 - (6\/4)\/(6\/(-16)). Suppose -3*s + b*s = -106. What are the prime factors of s?\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 33 + 36 - 9*g - 70 + 3*g**2 as y + f*g + r*g**2 and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1842447412 to the nearest integer?\nAnswer: 1226","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 506 - 507. What is the closest to 18 in 2, y, 0.3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bbnncebnnelbbenxe. What is prob of sequence cbl?\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15*(-18)\/(-3)*(-2)\/(-36).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*p + 10 + 1 + 13*p - 11 - 11 - 3*p.\nAnswer: 2*p - 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -3457, -27673, -93395, -221377, -432373, -747137?\n\"Answer: -3459*a**3 + a**2 - 6*a + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 445 minutes after 4:31 PM?\nAnswer: 11:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 6, k: 2, g: 7}. Give prob of sequence gkkg.\nAnswer: 1\/390","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((2 + (sqrt(832) - 2*(-2*sqrt(832) - sqrt(832) - sqrt(832))) + 4)*6)**2 + 2)*1.\nAnswer: 31104*sqrt(13) + 2427410","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 4 (b) 1.1 (c) -0.023 (d) 1 (e) -1070 (f) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -20*b - 1 + 85*b + 1. Let p(u) = u + 4. Let a(k) = -5*k - 22. Let f(j) = -2*a(j) - 11*p(j). What is q(f(t))?\nAnswer: -65*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 47 is divided by 28?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = r**2 - 45*r - 1889. What is q(75)?\nAnswer: 361","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - v = 218 + 321, -3*v = 4*d - 527. Calculate the common denominator of 1 + (2 - d\/32) and (-3)\/2 - (-1 - 0).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2.096 and 5?\nAnswer: -10.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8799 is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*-3*((sqrt(104) + sqrt(104)*3)\/sqrt(8) - (sqrt(13)*3*4 - sqrt(13))))**2.\nAnswer: 206388","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 35\/(-15)*246\/(-4)*-2. Let c = q + 954. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = h**3 + 8*h**2. Let z be n(-8). Are 1\/5 and z equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 179\/3 + -1945\/33. Let o = 156657990 - 262558778263\/1676. Let g = o - -3\/419. What is the common denominator of h and g?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1974527 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.049*5.1.\nAnswer: 0.2499","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 15358 - 6626 = -p, 2*p = -3*m + 44003. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -20 - -35. Let z(w) = -w**3 - 9*w**2 - 10*w - 1. Let r be z(-8). Calculate the highest common factor of r and f.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 284843*j. Let o(c) = 2*c**2. Determine o(z(h)).\nAnswer: 162271069298*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) be the second derivative of -z**5\/20 - 5*z**4\/12 - z**3\/2 - 5*z**2\/2 + 2*z + 15. Determine r(-4).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (33280\/(-96))\/26*(4*108\/80)\/3?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 4*m + o, 0 = -4*m - 2*o - 2*o + 20. Suppose 26 = 2*b + w + 3*w, 0 = b - w - m. Suppose d - b*d = -64. Does 16 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6363, -6351, -6359, -6411, -6531, -6743?\nAnswer: -7071","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 j when two letters picked without replacement from {y: 13, a: 1, j: 1}?\nAnswer: 13\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-4))**(-7)*(w\/(w\/(w**(-2\/13)*w)))\/w*w*w\/(w*w**(-3\/5)))**(1\/19) assuming w is positive.\nAnswer: w**(1914\/1235)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -167 + 342. Let o = 56 + -31. What is the highest common factor of o and b?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-3 - -1) + 6 + -1. Suppose 5*f + 3*m = -486, 0*f + w*f - 2*m = -303. Let a = f - -145. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 25, -24, 4 in increasing order.\nAnswer: -24, 1, 4, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 2, r: 2}. What is prob of picking 1 r and 2 n?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.675864ml to litres.\nAnswer: 0.001675864","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -7 + 10. Suppose 2*x = -0*x + 6, 5*x + 57 = y*z. What is the tens digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = -2626 - 1988. Let k = -2408 + v. Round k to the nearest one hundred.\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -45*w - 561. Calculate the smallest common multiple of k(-13) and 48.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-172)\/12)\/((-3)\/(9 - 0)). What is the highest common factor of 817 and m?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -981327*w - 2482308 wrt w.\nAnswer: -981327","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 - (-3 - (-11 + 1))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -11, 2, 1, -1.\nAnswer: -11, -1, 1, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1856065 to the nearest integer?\nAnswer: 123","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n - 123*a + 119*a = -10, -4*a = 20*n + 104 for n.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11b (base 14) to base 11.\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 7\/8 of a litre?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.51 - 0.24. What is the third biggest value in 0.3, -0.4, q?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 77585855?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 73 a factor of 31974?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b (base 15) to base 2\nAnswer: 1011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 141796 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 72*z - 458 = 130*z + 3*g, 5*z + 33 = -4*g + 1 for z.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = x - 0. Solve -x*o - 2*y + 14 = 0, 0 = -4*o + 2*o - 4*y - 4 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 1132669289?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.705 - 681.805. Let o = -640 - u. What is o rounded to the nearest 10?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 152 (b) -0.5 (c) -0.048 (d) -2\/5 (e) -25\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 433\/14745 bigger than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -2 + ((-4)\/(-2) - -1). Suppose -2*x - 4*m + m - k = 0, -3*x = 4*m + 1. Let z = -105.9 - -106. Are x and z non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 24\/36 - (-5232)\/9. Let h be (-18)\/(l\/(-66) + 9). Is -98 smaller than h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 546 minutes before 4:56 AM?\nAnswer: 7:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -10*n - 2*n**2 - 38*n**3 + 38*n**3 - 2*n**4 in the form d*n**3 + b*n + p*n**2 + z*n**4 + u and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -83\/24 and 49\/10?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4642959964?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18\/(-4)*(-814)\/111.\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 226 + -226.1. What is the biggest value in a, -0.4, -0.08, -2\/3?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3299824113?\nAnswer: 3, 1099941371","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) be the second derivative of -a**4\/12 + 99*a. Let q(i) = 13*i. Determine q(o(k)).\nAnswer: -13*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -4\/7, -1\/3, -8925, -4, -0.06?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q - 4*c = 5, 3*q = -3*c - 598 + 592 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.04 - 0.022. Let z = 0 - 0. Let d = k - z. What is d rounded to two dps?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 950136.\nAnswer: 2, 3, 11, 59, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 299698527 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 4649, 3 in descending order.\nAnswer: 4649, 3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 29.9 + -30. Let a = -45 + 47.3. Let m = a - c. What is m rounded to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b, 1 z, and 1 r when three letters picked without replacement from {z: 2, j: 5, h: 1, b: 4, r: 4}.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(q\/(q**18*q)))\/(((q*q**5\/q*q*q*q*q)\/q)\/q)*(q\/q**7)\/(q\/q**(-2)) assuming q is positive.\nAnswer: q**3","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 3588 to the power of 1\/2, to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = u**3 - u**2 - u. Let o be h(2). Let a = -376078 + 376081. Solve -27 = o*q + 2*q + a*i, 2*q + 31 = -5*i for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 62 - 429\/7. Let i = 60 + -59. Put i, -3\/7, n, -5 in decreasing order.\nAnswer: i, n, -3\/7, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 129.9390576 to the nearest ten.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -353 divided by 395\nAnswer: -353\/395","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -2*d**2. Let l(z) = -z**2 + 14*z + 34. Let b be l(16). Let r(a) = 29 - b - 30 + 7*a + 0*a. What is r(y(p))?\nAnswer: -14*p**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 21 - -212?\nAnswer: 1010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7*30\/315*27\/(-33).\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.04 times 173?\nAnswer: -6.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2a61700 + c?\nAnswer: 2a6170c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 2*b + 6. Let v be s(-2). Suppose -v*w = -0*w - 2. Suppose 0 = -4*z + a + 6 - w, -2 = -4*z - 2*a. Is z <= -2\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 15372 and 1025654.\nAnswer: 854","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (1 - 7\/2)\/(11\/(-1166)). Is 266 bigger than s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f + 6 = -f. Let v(o) be the third derivative of o**4\/24 + 13*o**3\/6 + o**2. What is v(f)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 295 or 3252\/11?\nAnswer: 295","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-6)\/(2 + -3) - 1. Let j = c + 12. Suppose -3*p - 2*v = -4*v - 26, 2*p = v + j. What is the units digit of p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(1539) + -1 + sqrt(1539))**2.\nAnswer: -36*sqrt(19) + 6153","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.9 - 0.6. What is the nearest to 3 in -1, 2, u?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 72 (b) 2 (c) -0.011 (d) 34\/53\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -52, -277, -650, -1171?\n\"Answer: -74*z**2 - 3*z + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -54895\/6734 + -30\/481. What is the common denominator of o and -87\/20?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5348?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -m**3 + 8*m**2 - 6*m - 9. Let i = 3 - 3. Suppose i = 3*j, j - 3*j = -3*u + 21. Let y be k(u). What is the second smallest value in y, 4, 4\/5?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1499921 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (39*a**3 - 13*a + 13*a)*(-2*a + 3*a - 2*a)*(-2*a - 1 + 1).\nAnswer: 78*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 > -0.0494?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -50, -52, -62, -80?\nAnswer: -106","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 100, 106, 112, 118, 124, 130?\n\"Answer: 6*q + 94","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 8 - 3. Let z be 12\/(-16)*(-40)\/15. Which is the nearest to 0? (a) -0.5 (b) z (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25433963 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-6)\/(-4)*(-28)\/3. Let p = a - -7. Let b(q) = q**3 + 7*q**2 - q - 3. What is the smallest common multiple of b(p) and 2?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.174 + -0.234. What is the fourth smallest value in 3, i, 0, 1\/6?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -17 + 21. Suppose -4*o = -5*l - 46, -z*o + 5 + 25 = 3*l. What is the units digit of o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -6585 - -6589. What is the greatest common divisor of a and 548?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (8\/20 + 64\/(-10))*-79. Suppose 0 = -6*l + 786 + d. Does 15 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -84515614, -84515615, -84515616, -84515617?\nAnswer: -84515618","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zwz when three letters picked without replacement from zzwwz.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.319 + -0.019. Let x = -0.213 - -0.223. What is the nearest to 1\/3 in x, q, 2\/3?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 101412 = 2605*l + 1641*l - 314696 for l.\nAnswer: 98","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 429 - 190. Let w = -242 + p. Which is the nearest to -3? (a) -5 (b) -2 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -4345, -17318, -38941, -69214, -108137?\n\"Answer: -4325*q**2 + 2*q - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -113 (base 4) in base 16?\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:41 PM and 2:08 AM?\nAnswer: 327","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1179*f + 1185*f - 26 - 52 = 0 for f.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-6)\/10)\/((-2)\/20). Solve 8 = 2*f + 3*h, 4*f + f + t = -h for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + 0 - (4*(2 - 1) + 0)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2124 times 2?\nAnswer: 4248","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.017103 to three dps.\nAnswer: -0.017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 14\/445, 7, 0.3, -0.2 in increasing order.\nAnswer: -0.2, 0, 14\/445, 0.3, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 2711804+-548\nAnswer: 2711256","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 142*m - 65 = -207 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3417 + -1674. Let t = 2596 - h. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -11767 + 0?\nAnswer: -11767","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 6850.1 rounded to the nearest 1000?\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 303*f - 30207. What is b(100)?\nAnswer: 93","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -174, -177, -186, -201, -222, -249?\n\"Answer: -3*i**2 + 6*i - 177","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:21 AM and 7:02 AM?\nAnswer: 401","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of q**3*y**3 + 11*q**3*y + q**2*y**3 - 2*q*y**3 + 60*y**3 wrt q.\nAnswer: 6*q*y**3 + 66*q*y + 2*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -28\/4821 >= 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -46.999976 + 47. What is t rounded to 6 dps?\nAnswer: 0.000024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 53\/291 and ((-14630)\/(-363))\/(-10) + 1\/(-3).\nAnswer: 3201","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -2*f + 42. What is x(0)?\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 + 2094*j**2 - 5 + 394*j**2.\nAnswer: 2488*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) be the second derivative of 2\/15*x**6 - 2*x + 0*x**4 + 0*x**2 - 1\/2*x**3 + 0 + 0*x**5. What is the second derivative of i(z) wrt z?\nAnswer: 48*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5738.8092*-2.\nAnswer: 11477.6184","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.002700047 rounded to six decimal places?\nAnswer: 0.0027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5836?\nAnswer: 2, 1459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 46\/7 - 14*(90\/35 + -2)?\nAnswer: -10\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + -3 - (-11 + 1 + (40 - 42))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 167 = 3*z - 2*t, 2*z + 5*t - 94 = 2*t. Let u = -79 + 152. What is the remainder when z is divided by 1\/(-4) + u\/4?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*b + 6 - 4. Let c(p) = 11*p**5 - 4*p**4 + 2*p - 4. Let i(n) = -n**4 + n - 1. Let x(s) = b*c(s) + 4*i(s). Find the second derivative of x(d) wrt d.\nAnswer: -220*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:43 AM and 3:41 PM?\nAnswer: 418","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2752 is divided by 2748?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) -22 (b) -78 (c) -3 (d) 2\/145\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1 + 3\/9)\/(6\/(-171)). Solve g*m = 20*m + 1 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 33\/3 + (7 - 8)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xftffffxfhfxfht. What is prob of picking 3 f?\nAnswer: 8\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 5*w = 1 - 0, -3*r + 20 = 2*w. Let x(i) = i. Let j be x(13). Let d = 17 - j. What is the greatest common factor of r and d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (1\/(-2))\/((-1 + -1)\/164). Suppose x + 27 = 2*k. Suppose -27*c - 637 = -k*c. What is the tens digit of c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -11, -39, -81, -143, -231?\nAnswer: -351","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 20*c - 22*c - 5*v - 7, 5*c = v + 50. What is the least common multiple of 8 and c?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -4*d + o, -3*d - 4 = -8*d - 3*o. Is (0 + d\/(-2))\/((-8)\/(-15632)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 26 and 44356.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 99690 and 510?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 12 = 5*k. Suppose 3*l - 25 = -5*a, -2*a + 6 = 4*l - k. Is (-7 - l)\/(3\/(-15)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4703508?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = -4*p + 17, 8 = 2*p - p - 3*y. Solve 5*j = -r + 16, -4*j - p = -7*j + 4*r for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*i - 249*i - 271*i)*(1 - 6 + 4).\nAnswer: 528*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 11\/10 of a litre?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 9\/(-12) + (-314)\/8. Let x be 0 + c\/18 + 2. Let r = -15290 - -15290.3. What is the second biggest value in x, -4\/9, r, 1?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a + 3*n - 12 = 0, 0 = 4*a - 6*n + n - 16 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 11 = 3*s, s - 23 = -5*m - 0. Suppose 2*x = -s*l + 2, 2*l - 2*x = 3 - 5. Let o = 4 + l. What is the units digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 31 and 93.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 171711535 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 100000010011010101001 (base 2) to base 12.\nAnswer: 430661","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 22100.1 - 22103. Sort -4, 0, 2, g in increasing order.\nAnswer: -4, g, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1.6 in 2\/17, 0.1, -4\/7?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 7.783127 years?\nAnswer: 0.7783127","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 899 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14 - 732*l**3 + 721*l**3 - 14.\nAnswer: -11*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m**2\/5 - 45926522*m\/5 + 527311355754121\/5 = 0. Calculate m.\nAnswer: 22963261","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -5*d**3 + d**2 + d. Let q be t(-1). Suppose 2*m = 3 + q. Solve -i - 3*i + 16 = -5*c, 21 = -5*i - m*c for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = y**3 + 14*y**2 - 27*y - 577. What is the remainder when v(-11) is divided by 8?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 487 or 570?\nAnswer: 487","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1 + 0 + 14*(-21)\/(-49). Solve 2*t = 6*s - 5*s + 1, 4*t = s + o for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -766, -793, -834, -889, -958?\n\"Answer: -7*t**2 - 6*t - 753","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 200, 45, -132, -331, -552, -795?\nAnswer: -1060","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) be the second derivative of -155*m**3\/2 + 35*m**2\/2 + 55*m. Let b be y(-9). What is b rounded to the nearest 1000?\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(84)\/(sqrt(8)\/sqrt(2)))\/sqrt(3).\nAnswer: sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 7*b**2 + 16*b - 9. Let m(z) = -6*z**2 - 16*z + 10. Let q(i) = 6*m(i) + 5*u(i). Let c be q(-13). Suppose r = 4*r - c. What is the units digit of r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-4)\/14 - 72916282\/7. Let g = -5016612 - a. What is g rounded to the nearest one million?\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -h**3 - h - 1. Let d(b) = 3*b**3 + 68*b + 5. Give -d(y) - 5*t(y).\nAnswer: 2*y**3 - 63*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -176 - -288. Suppose -4*t + 34 = 3*q, 2*q - 162 = 3*t - 128. What is the greatest common factor of q and m?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 2*d - 5*h = -35, 2*d + 17 = h. Let k = 6 + d. Let m(n) be the third derivative of n**6\/120 + n**5\/15 - n**2. Determine m(k).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -811225*f**4 - 31*f**2 + 268903.\nAnswer: -19469400*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -2100100413 (base 5) to base 11\nAnswer: -247780a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + x + 19652 = -d, 0 = -d + 5*x - 19658. Let r = 30551 + d. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 4*x**3 - 15*x - 6. Let i(o) = -1 + 0*o - 7*o - 2 + 2*o**3. Let a = 179 - 173. Give a*m(r) - 13*i(r).\nAnswer: -2*r**3 + r + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -25*m**3 - 3*m + 4. Let y(i) = 7 + 2*i + 5*i - 12*i - 1892*i**3 + 1843*i**3 + 0*i. What is 7*f(t) - 4*y(t)?\nAnswer: 21*t**3 - t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -16 + -3040424?\nAnswer: -3040443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 36*u**3 - 5*u**2 + 5*u - 5. Let y(l) = -54*l**3 + 7*l**2 - 7*l + 7. Determine -7*g(t) - 5*y(t).\nAnswer: 18*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1010340017?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1977 + 2011 = 3*s + 2*g, 3*s + 10*g = 50 for s.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.04 - 92.55501529122.\nAnswer: -92.51501529122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 47\/4 of a micrometer?\nAnswer: 11750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.1 and -66.\nAnswer: -6.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8, 19, 44, 89, 160, 263?\nAnswer: 404","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -11 (b) 1\/9 (c) 42258.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -31*t**2 - 601*t + 2843. Determine f(5).\nAnswer: -937","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 250825*m**2 - 124970*m**2 - 123884*m**2.\nAnswer: 1971*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 204298 a multiple of 83?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z + 3 = 4*z for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 4*k + 3. Let l(w) = -w - 1. Let m be 1*(-2)\/(-2)*-1. Let j(a) = m*q(a) - 3*l(a). Let s(p) = 3*p. What is s(j(c))?\nAnswer: -3*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*l - 14*l = 15*l - 66. Solve o = -4*h - 8, -12 + l = -h - o for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2116 + -167?\nAnswer: 1949","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 15.31429kg?\nAnswer: 15314290000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -35*z**2 - 2*z**3 + 68*z**2 + 54*z**2 to the form v + t*z**3 + f*z**2 + j*z and give f.\nAnswer: 87","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 200, 409, 618?\n\"Answer: 209*g - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 474 and 30?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1632836.7 rounded to the nearest 100000?\nAnswer: 1600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dm when two letters picked without replacement from mddmcmdcmddmcmdmm?\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.2 and 0.09?\nAnswer: -0.018","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 25 divided by -17453791.\nAnswer: -25\/17453791","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.02876462 to four dps.\nAnswer: 0.0288","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -107\/168 and 88\/(-30) + (-322)\/(-92).\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.48814 - 248.54.\nAnswer: -249.02814","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -y**4 + 265*y**3 - 16562*y**2 - 137632*y + 554880.\nAnswer: -(y - 136)**2*(y - 3)*(y + 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/((h\/h**(-1\/4))\/h))**(7\/6)*h**1\/(h\/h**(-3)) assuming h is positive.\nAnswer: h**(-17\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 529, 526, 523, 520, 517?\nAnswer: 514","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6263*f - f**2 - 25726*f - 1458*f + 2.\nAnswer: -f**2 - 20921*f + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 7\/(42\/(-16))*-6. Solve 4*u - 12 = -3*g, -h = 4*u - 6*g + 2*g for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-9)\/162*8)\/(-13)*(-36)\/(-8)\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 104? (a) 3\/4 (b) 2\/11 (c) -2 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*i - 4 = -64 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - 9)*135\/585*-13 + -16?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 + (-11 - -24) - -1.\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = k**2 - 16*k + 1. Let r be w(16). Suppose -12*o + r = -59. Suppose -x = 4*y - 1018, 8*y = 11*y + o*x - 755. Does 15 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -w**3 - 4*w**2 - 4*w - 2. Let z be (-8)\/(0 + 0 + -1). Let f be (z\/6)\/((-1)\/(-3)). Suppose -2*p = 3*k - 2, 2*k - 16 = -p - f*p. What is t(k)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2090001841 to the nearest integer?\nAnswer: 45717","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 571 is divided by 471.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = -2*l + 4*h - 28, 4*h = 3*l + 25. Let x(v) = -4*v - 12. Let s be x(l). Suppose 2*z + 2*n = 92, 4*z + s*z = 2*n + 160. What is the tens digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -1\/4, 2\/17, -2\/21, 76?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 13353933*w**2 + 9818469*w wrt w.\nAnswer: 26707866","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -93*l**3 - 426*l**2 + 426*l**2.\nAnswer: -93*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 189 (b) 1\/8 (c) -0.5 (d) -3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.32? (a) -6 (b) -1 (c) 108\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -0.042 * -0.60562\nAnswer: 0.02543604","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Total of 601.49489447 and -926.\nAnswer: -324.50510553","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 109*i - 283. Calculate x(3).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vdssdec. What is prob of picking 1 c and 1 d?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 2*l - 32858 = -2*m, 5*m - 3*l - 41073 = 0. What is the hundreds digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 460967368 a multiple of 139?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + c = -6, -1 = -0*g + 4*g + 5*c. Solve -g - 3 = w for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*g**3 + 52*g**2 - 136*g - 192 = 0. Calculate g.\nAnswer: -1, 6, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -29\/14 and -64\/627.\nAnswer: 8778","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -107349, -214644, -321941, -429240, -536541, -643844?\n\"Answer: -j**2 - 107292*j - 56","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 - -10 - 0 - ((9 - 5) + -6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 32964831*h**4 + 202*h**2 + 17227 wrt h.\nAnswer: 791155944*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 5120113 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -11 - -19. Let i = 420 + -414. What is the least common multiple of i and q?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*w + 2*w - 9*w**2 + (0 + 0 + w)*(-7*w + 5*w - 14*w).\nAnswer: -25*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 175*p + 166*p = -999 - 2411 for p.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-25)\/((-175)\/(-42)))\/2?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 59*q - 117*q + 4292 = 0. Solve 18*p = 38 - q for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1b66 - 1?\nAnswer: -1b67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -835.43551 - -738.436. Let y = u + 97. What is y rounded to four dps?\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = o - 2. Let m(f) = 3*f**2 - 5*f + 2. Let l be m(3). Suppose -3*i + l - 2 = 0. Calculate the smallest common multiple of 8 and k(i).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -785*w + 1115*w + 1193*w = -45690 for w.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 21548 to the power of 1\/3, to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 606345470 - 4?\nAnswer: 606345465","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -17 - -26. Let a be -2 + (-3)\/(w\/6). Let q = a - -7. Solve 0 = q*b - 2 + 17 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000031161 rounded to 5 dps?\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 395.5012 and 7.\nAnswer: 2768.5084","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -2598*s**3 - 4*s - 9. Let j(p) = -7793*p**3 - 11*p - 25. Calculate -11*h(f) + 4*j(f).\nAnswer: -2594*f**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8 - 5*y - 3 - 5*y.\nAnswer: -10*y + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in thirty-two fifths of a millennium?\nAnswer: 64","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 11\/3 + -167\/48. Suppose -5*a + b - 2 = 0, 11 - 1 = -2*a + 5*b. Which is smaller: s or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) be the third derivative of 0*z**6 - 7*z**2 + 0*z**7 - 1\/84*z**8 + 0*z + 0*z**3 - 7\/24*z**4 + 0*z**5 + 0. Find the second derivative of d(b) wrt b.\nAnswer: -80*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -5*l**2. Let k(u) = -8*u + 6. Let r(h) = 7*h - 5. Let j(s) = -5*k(s) - 6*r(s). Calculate j(d(z)).\nAnswer: 10*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 555*y**5 - 2*y**2 + 14*y.\nAnswer: 33300*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 25 and 35.\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 6893376 a multiple of 223?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 13036 to the power of 1\/3, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 90 minutes after 7:37 PM?\nAnswer: 9:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -383682 divided by 63947?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 167 divide 1114935798?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y + 5*o = 27, 199*y + 45 = 194*y + 3*o for y.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 40 - 152 - (22 - 52)?\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -11 - -b?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -d**2 - 8*d - 8. Let c be s(-6). Suppose -19 = -c*g - 15. Is g less than 6\/13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 504 minutes before 9:56 AM?\nAnswer: 1:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + 5*(6*sqrt(204)\/sqrt(192) - -5*(-1 + sqrt(1700))).\nAnswer: -28 + 515*sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = -3*z + 11, 5*z + 12 = 3*g + 37. Let o(s) = -69*s**3 + 70*s**3 + 0 - 2 - 4*s**z - 6*s. Calculate o(5).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 120\/(-9200)*10*4\/6?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**1*a)**(-2\/41)\/(a\/(a\/(a*a**(-9)))*a**(-1)*a) assuming a is positive.\nAnswer: a**(324\/41)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lyhyypyyyuuyllmpuy. What is prob of sequence lph?\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -51\/4 - 13*f - 1\/4*f**2.\nAnswer: -(f + 1)*(f + 51)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l - 14 = s, -12*l + 3475 = 4*s + 3531 for s.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -2352 divided by -84?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1244\/(-10) - (7\/(-5) + 2). Let q = l - -131. Sort q, -3, 2.\nAnswer: -3, 2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 4, 17, 20, 7, -28, -91, -188, -325?\n\"Answer: -o**3 + o**2 + 17*o - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 15 + -13. Suppose d*o = 34 - 4. Suppose 3*i + 32 = 7*i. Solve -3*n = -i*n + o for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -114 + (-18 + 8 + 9 - (-2 - -8)) - -10\nAnswer: -111","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -17 - 1 - (14 + (-9 - -5) + -17)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -1 (b) 1997 (c) -4 (d) -0.1 (e) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 5*m - 25 = 0, -6*m + 4*m - 23 = -3*q. Which is the second smallest value? (a) 11 (b) q (c) -5 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4713.\nAnswer: 3, 1571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1818331?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6298 is divided by 35?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -301 + 310 - (4 + -1 + (0 - 3) + -4).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = 3*g + 5*o - 8, -g = -3*o + 1. Is ((-20)\/(-25))\/((-57)\/30 + g) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 305 is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 165 minutes after 3:24 AM?\nAnswer: 6:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 252 minutes before 12:35 PM?\nAnswer: 8:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1640636359 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 5*j - 78 = 2*a, 0 = -5*a + j - 270. Let i = a - -97. Does 10 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -a + 3 + 2*a - 1. Suppose -57*o + 1547 = 1205. Give x(o).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -8, -9, -8, -5, 0?\n\"Answer: y**2 - 4*y - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-g**4 + g**4 + 2*g**4)*(-2 - 7 - 8) + 6483*g**2 - 6483*g**2 - 4*g**4.\nAnswer: -38*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-4)*s**(10\/13)*s**(-24)\/(s\/(s*s**(-4\/5))))**26 assuming s is positive.\nAnswer: s**(-3644\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -53*x = -50*x + 9 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -12111, -24366, -36621, -48876, -61131, -73386?\n\"Answer: -12255*w + 144","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = p + 5*t - 11, 3*t = 5*p - 11. Suppose 5*z - 154 = r, -119 = -2*z - 2*z + 5*r. Suppose -z = -p*a + 37. What is the tens digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*a**3 - 1900*a**2 + 36476*a - 34580.\nAnswer: 4*(a - 455)*(a - 19)*(a - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -0.05 * 4.7\nAnswer: -0.235","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 3*d - 32 = 9, -d = -2*k + 43. Let q(o) = -92*o**3 + 37*o**2 - 12*o - 28. Let z be q(k). Round z to the nearest 100000.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) -1.8 (b) 23\/116 (c) 2 (d) 0.02\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 - 11 = -6*x. Suppose j = -x*j - 272. Let m = -35 - j. What are the prime factors of m?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*c - 49*c = 266 for c.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 3 - 5*a)*(-32 + 32 - 4*a) + 2 + a**2 - 2 to the form r*a + u*a**2 + d and give u.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 816 = 6*u, 3*g + 8*u = 4*u + 2294. What is the remainder when 2340 is divided by g?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 56 + -57 + (36 - (1 - -2)) - 9?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.064 + 45.064. Let w = 44.9 - k. Let n = -3 - -2.5. What is the closest to w in -1, n, 5?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 20*q**2 + 3. Let l(w) = 70459*w + 7*w**2 + 68*w**2 - 70459*w. Give g(l(s)).\nAnswer: 112500*s**4 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -u**2\/8 + 49*u\/4 - 97\/8.\nAnswer: -(u - 97)*(u - 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -11 + (-6 - ((-66)\/55 - (-42)\/(-15))).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -4 or 2971?\nAnswer: 2971","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -809.782995 rounded to the nearest one hundred?\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + 5 - ((-11 + 5 - -10) + -9)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 2*i = -4*c + 110, 0 = -5*i + 5*c + 450. Calculate the remainder when i is divided by 19.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - u = 74, 3*d - u = -d - 142. What is the common denominator of -77\/8 and 302\/192 - 12\/d?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:57 PM and 10:53 PM?\nAnswer: 296","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (124\/(-62))\/((-2)\/(-7))\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(2\/35)*f*f*f**(-20)*f*(f*((((f*(f**6*f)\/f)\/f)\/f)\/f*f)\/f*f)**(-2) assuming f is positive.\nAnswer: f**(-1013\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ccl when three letters picked without replacement from lccllclcclcclclclclc.\nAnswer: 11\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 208 = -32. Let y = n - 82. What is the fourth biggest value in 2, 0.11, -3, y?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -5*k**2 + 4 + 15 - 22*k**3 + 5*k**2 wrt k?\nAnswer: -66*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*p**3 - p**3 + 2*p**3)*(2*p**2 - p**2 - 3*p**2) - 89721*p + 160291*p + p**5 - 81331*p.\nAnswer: 3*p**5 - 10761*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 1, r: 2, q: 3, z: 2, y: 9}. Give prob of picking 1 r, 1 f, and 1 y.\nAnswer: 9\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = j**3 + j**2 - 1. Let r(d) = 8*d**2 + 16*d - 20. Let f(y) = 4*b(y) - r(y). Determine z, given that f(z) = 0.\nAnswer: -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-7)\/(42\/(-6)) + 4510 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = -5*i + 98, -2*u + i + 48 = 3*i. Let g(j) = 5*j**2 - 4*j - 5. Let t be g(-1). Solve d = -t*r, -3*r + 5*d - u = -r for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11412180973 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 354316, -1\/5, 1, 8?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -297 - -300. Let x(p) = -p + 3*p - p**2 + 1 - p + p**3. Let o(u) = -8*u**3 + 11*u**2 - 10*u - 7. Let v(b) = q*o(b) + 21*x(b). Factor v(y).\nAnswer: -3*y*(y - 3)*(y - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -3*z + z**2 - z**2 + 16*z + z**2. Let x be n(-14). Let g = 25 - x. List the prime factors of g.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000314201629 rounded to seven decimal places?\nAnswer: 0.0000314","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*k + 0*k - k)*(-3 + 5 - 1) + k + k + 0*k + (-2*k + 0*k + 0*k)*(-3 + 1 + 1) - k - 2*k + 5*k in the form p*k + s and give p.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 437 + -430. Let w(z) = 5*z + 76. Let x be w(i). Sort 2, x, 1 in ascending order.\nAnswer: 1, 2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-16)\/5 + 2)\/((-287)\/70 + 4). Solve -5*l = -g - 8 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + -1*sqrt(17))*-5*-6.\nAnswer: -30*sqrt(17) + 120","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 532916.4 litres in millilitres?\nAnswer: 532916400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 2*t - 5. Let a be n(4). Suppose -j + 8*u + 38 = a*u, 3*u - 60 = -4*j. Suppose 0 = -5*l + 126 - 36. Calculate the least common multiple of j and l.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -4*n + 3. Let t(m) = -6*m + 5. Suppose 0 = -5*c, -209 = -4*g - c + 143. Suppose 77*r - 55 = g*r. What is r*t(h) + 8*d(h)?\nAnswer: -2*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7)\/(-6*(-4)\/(-48)).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g*g*(g*g**31*g)\/g*g*g**(-27))\/((g\/(g**(-6\/5)\/g)*g)\/g)**(4\/19))**14 assuming g is positive.\nAnswer: g**(11074\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -m**2 - 6*m - 4. Suppose -t + 19 = 4*t - 3*b, 6 = -3*t - 4*b. Calculate the smallest common multiple of n(-4) and 1 + -1 + 4\/t.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 120 - 120 + 66*r to d*r + a and give d.\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 4 + 108?\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -22, -31, -48, -79, -130, -207, -316?\n\"Answer: -n**3 + 2*n**2 - 8*n - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(20)\/((-3*sqrt(110) - sqrt(110))\/sqrt(11)) - sqrt(8)\/(2*sqrt(256) + sqrt(256)))**2.\nAnswer: 913\/288","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 80 = -2. Calculate the remainder when s is divided by 22.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3 - -5232302?\nAnswer: 5232277","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 2655.5556 nanoseconds?\nAnswer: 0.00000004425926","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7303 is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -13*f + 30*f - 18*f. Let y(h) be the first derivative of 4*h**3\/3 - 1. Give j(y(n)).\nAnswer: -4*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 324902594?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2 - -1) + (-937)\/11. Let q = k + 86. Which is bigger: 1 or q?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 511827 is divided by 43?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + n + n + 448 = 0, 0 = 3*d + n - 346. Suppose -2*j - 2*j - w = -99, -2*w = -5*j + d. What is the units digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = m**3 - 132*m**2 - 1129*m + 1237. Give q(140).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(39)\/(-1*sqrt(3)) - (sqrt(1300) + 1).\nAnswer: -11*sqrt(13) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 9*c + 49 = 0. Is 7 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2110 (base 3) to base 10\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4.99 + 0.01. Which is the nearest to 0.1? (a) 3 (b) 1 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -30 - -31. Let l be 1 + (4 + 0)\/2. Suppose -h + 2 = z + l, 2*h = -2. Are z and q non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-2)\/(-16)*-6)\/6. Sort m, 2\/5, 9.\nAnswer: m, 2\/5, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 2 (b) -1961 (c) 2.4458\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -154.156 rounded to the nearest 100?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 55 + (-63 - (4 - -54))?\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 203842 and 11?\nAnswer: 2242262","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = -3*l + 1. Let t(h) = -51*h**3 - 6*h**2 - 12*h - 5. Let j(q) = 25*q**3 + 2*q**2 + 5*q + 2. Let m(v) = -5*j(v) - 2*t(v). Give m(l).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16232?\nAnswer: 2, 2029","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -173, -690, -1559, -2780, -4353, -6278, -8555?\nAnswer: -11184","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2340 - 2354. Which is the second smallest value? (a) -13 (b) j (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19949?\nAnswer: 19949","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Are -1962 and 902 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000038858043 to 7 decimal places.\nAnswer: 0.0000039","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-2)\/(-4))\/((-2)\/(-4)). Let m(x) = -x**2 + a + 3*x**2 + 3*x**2 + x**2 - x. Let q be m(2). Solve c = 3*r - 7, -r - q = -3*c - 3*r for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -6*q - 8. Let z be -6*(4 - (-44)\/(-8)). Let k(u) = u - 18. Let j be k(z). What is the remainder when h(j) is divided by 13?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((sqrt(84)*1*1)\/sqrt(12) - (sqrt(7) - (sqrt(700) - (sqrt(700) - (sqrt(700) + 3)))**2)*2).\nAnswer: 119*sqrt(7) + 1418","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -27 - -67. Let p be ((-18)\/12)\/((-6)\/k). Solve -7*b = -2*b + p for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-63)\/(-12) - (21\/(-12))\/(-7). Let y be (12\/q)\/(3\/(-10)). Let t be 3\/(4*(30\/y + 4)). Solve -m + t*m = -6 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20565*y - 20545*y - 15440 = 0. Solve -774 = l - y for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = i - 6. Let n be f(8). Suppose -5*k + 43 = -4*k - 3*l, -4*k + n*l = -152. List the prime factors of k.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 904646513 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 797226980.\nAnswer: 2, 5, 11, 757, 4787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 42320, 42202, 41880, 41252, 40216, 38670, 36512?\n\"Answer: -17*b**3 + b + 42336","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -241814510 divided by -6\nAnswer: 120907255\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 7415657 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Are -2472641 and -2472643 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 146005?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 32683523 to the nearest integer?\nAnswer: 320","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5\/25*(-20)\/24.\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1149537 to the power of 1\/4, to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1540)\/(-840)*176\/(-242)?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -16010616 bigger than -16010616?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(3\/4)\/(p*p**(2\/7)))\/(p\/(p\/p**(2\/7)))**(-6\/11))\/(p**(-5)*p**(1\/3)*(p\/(p\/((p\/p**(-1))\/p)))**(-37)) assuming p is positive.\nAnswer: p**(38149\/924)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 8 = 4*m, 0 = g - 6*g + 20. Let l(j) = j**2 - 2*j + 2. Let h be l(m). Let v = -7 + 6. Sort v, 0, h in increasing order.\nAnswer: v, 0, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one quarters of a decade in months?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3162*s**3\/13 + 110660*s**2\/13 - 303202*s\/13 - 960\/13 = 0. What is s?\nAnswer: -5\/1581, 3, 32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -54290.578 to the nearest ten thousand.\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00009462411 rounded to 6 decimal places?\nAnswer: -0.000095","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 148.7? (a) -15 (b) -0.5 (c) -2\/23\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 15 = 3*r. Suppose 6*b = b - r*u + 209, 5*u = -4*b + 162. Is b a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 * -0.03\nAnswer: -0.15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 3*y + 2. Let k(i) = -13*i - 9. Let m(l) = -9*f(l) - 2*k(l). Let p be m(2). Is -58 > p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 93061800 divided by 820\nAnswer: 113490","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 26632351\/40938414 + -2\/220099. Calculate the common denominator of 16\/15 and u.\nAnswer: 930","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1c (base 13) in base 10?\nAnswer: -25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -76, -150, -222, -292?\nAnswer: -360","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -97\/21260 and -163\/43625520.\nAnswer: 43625520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -21\/878 and -19\/5707.\nAnswer: 11414","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.04389 times -0.3?\nAnswer: 0.013167","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 - ((2 - 2) + -2) - 2?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/(-12)*3*34\/17\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qqq when three letters picked without replacement from {q: 3, o: 2}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 3, l: 17}. What is prob of picking 3 q?\nAnswer: 1\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -8*y - 6. Let c be g(-1). Solve -h - c*h = 0 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -u**2 + 11*u - 2. Let q be a(5). Calculate the greatest common factor of 8 and q.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = s**3 + 5*s**2 - 4*s + 1. Suppose -4*t = 16 + 4. Let r be u(t). What is the highest common factor of r and 42?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-42)\/(-56)*20\/22*3214\/(-8035)?\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 2, l: 3, f: 1, u: 2, c: 4}. What is prob of picking 1 c, 1 u, and 1 l?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -112713.0656 to the nearest one hundred.\nAnswer: -112700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6456, -6670, -6908, -7182, -7504, -7886, -8340, -8878?\nAnswer: -9512","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (8 + 2)\/((-6)\/((-12)\/4)). Let b(f) = 7*f**2 - 4*f - 5. Let s(o) = 10*o**2 - 6*o - 8. Determine w*s(z) - 8*b(z).\nAnswer: -6*z**2 + 2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 308463911 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + -1 + 1 + (((0 + sqrt(3888))*3)**2 - sqrt(3888)) + -3.\nAnswer: -36*sqrt(3) + 34987","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -x**2\/3 - 713*x + 46242.\nAnswer: -(x - 63)*(x + 2202)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9660*t = -10192*t - 36176 for t.\nAnswer: -68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*u - 5*i + 62, 6 = 5*u - 4*i - 51. Solve u*r = 18*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 168 - 156.6. Let x = 11 - z. Let w = -0.5 + 0.2. What is the second smallest value in 12, x, -1, w?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 4 (b) -1\/8 (c) -4\/329 (d) 0.4 (e) -36153 (f) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) be the second derivative of 1\/6*c**4 + 44*c - 9\/2*c**2 - 2 - 17\/6*c**3. Let d(f) = -f**2 + 8*f + 4. Determine -13*d(z) - 6*w(z).\nAnswer: z**2 - 2*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 494, 504, 520, 542?\nAnswer: 570","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 86 - 81. Solve 0 = 2*f - x*f + 12 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0 and -120.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 5) in base 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 4\/1465?\nAnswer: 4\/1465","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = -37*a + 386724. What is the remainder when a is divided by 29?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 2*m + 2 - 7*m - 3. Let x be o(-1). Suppose -3*z + 113 = x*l, 0 + 8 = 4*l. List the prime factors of z.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 1866 and 2.\nAnswer: 1868","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -69415\/7 + 763761\/77. Factor 0 + x*v**2 + 2\/11*v**3 - 64\/11*v.\nAnswer: 2*v*(v - 2)*(v + 16)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 205 - 204.9753. What is the nearest to -2\/5 in 3, 3\/5, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 11\/2 of a meter?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -104031867, -208063733, -312095599, -416127465, -520159331, -624191197?\n\"Answer: -104031866*p - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:42 AM and 4:53 AM?\nAnswer: 251","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 6\/(-4) - (1 - 114\/36). What is the closest to 0 in l, 2, 0.5, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24*x - 87*x + 60*x.\nAnswer: -3*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -15\/4? (a) -2\/21 (b) 2\/9 (c) 0 (d) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 237 minutes after 9:39 AM?\nAnswer: 1:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3942 and 8556.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*k**5 - 382138*k**3 - 37332*k**2 - 15 wrt k?\nAnswer: 180*k**2 - 2292828","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 46*(150\/84 + 2\/(-7)). Suppose b = 3*w - 135. Let r = w + -31. Is 7 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1.3672 in 1, 0.1, -0.1, -0.5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-3)\/(-9))\/((-1)\/(-3)). Let o = -224\/39 - -5444\/975. Which is greater: o or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -6*g**3 - g**2 + 5*g + 7. Let t(o) = 6*o**3 + o**2 - 4*o - 6. Give 6*j(x) + 7*t(x).\nAnswer: 6*x**3 + x**2 + 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -2 + (-13 - -12) + 5. Let b(i) be the second derivative of -12*i + 9\/2*i**y + 0 + 5\/3*i**3. Differentiate b(z) wrt z.\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 112371645 to the nearest integer?\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 209123 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 o when two letters picked without replacement from osxxosxosorxoo.\nAnswer: 18\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ru when two letters picked without replacement from ziruluu?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 a when two letters picked without replacement from awawwwmwwwwwwwtmaww?\nAnswer: 13\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 14640513 and 20053.\nAnswer: 1823","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -49620, -198478, -446644, -794172, -1241116, -1787530, -2433468, -3178984?\nAnswer: -4024132","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-6)\/t*t*(t**(-9\/4)*t*t)\/t*t)\/(t**(2\/71)\/((t\/t**(-1\/9))\/t*t*t)) assuming t is positive.\nAnswer: t**(-10651\/2556)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 28.3999847 - 28.4. Round h to six decimal places.\nAnswer: -0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -295, -594, -895, -1198?\n\"Answer: -n**2 - 296*n + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -n + 10. Let c be a(8). Let i(t) = -5*t + 5. Let h be i(c). Let f be 1\/h + 3 + (-49014)\/5. Round f to the nearest 1000.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -t**3 - 2*t**2 + 515*t - 211. Determine a(0).\nAnswer: -211","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jjgggfgbgjtjjtjbg. Give prob of sequence gtt.\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -26 + 38. Let r = -6 + n. Calculate the smallest common multiple of 9 and r.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -14*d - 3 + 4 + 17*d - 7*d - d. Let n(f) = -f**3 - 7*f**2 + 7*f - 7. Let u be n(-8). Give a(u).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0\/(-1) - (3 - 1). Let w = 65 + -43. Let m(z) = -z**2 + 23*z - 20. Let j be m(w). Put a, j, 5, 4 in ascending order.\nAnswer: a, j, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 99478\/13 or 4\/3?\nAnswer: 99478\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does -645 = 388?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 91*k - 182. Let j be a(2). Solve -30*z + 27*z = j for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 197 minutes after 5:08 PM?\nAnswer: 8:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.15 minus 453847.39764489?\nAnswer: -453847.54764489","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -122 (base 3) to base 2.\nAnswer: -10001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 908.\nAnswer: 2, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 220 - 21 - 5\/(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2965977 by 141237.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.3 in 0.1, 1\/7, -5?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 3*z = 15, 2*m = 4*z - 9*z + 27. Let r be m - (-1)\/(2\/(-4)). Suppose r = n + n. Calculate the greatest common divisor of n and 18.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wd when two letters picked without replacement from jwwwwddwwwwwwdwww.\nAnswer: 39\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -4508 - -1.9\nAnswer: -4506.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 256866946 to the nearest integer?\nAnswer: 636","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 6861, 32, 199 in decreasing order.\nAnswer: 6861, 199, 32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -t**2. Let q(n) = 240*n**2 + 47*n**2 + 55*n**2. What is r(q(b))?\nAnswer: -116964*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -230 - -142. Let y = -82 - r. Solve x = -11 + y for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) -0.2 (b) -523 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 50338698 by 5.\nAnswer: 50338698\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 358 is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor p**2\/2 - 861791*p\/2 - 3878100.\nAnswer: (p - 861800)*(p + 9)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 165200639 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -250061 (base 7) to base 12.\nAnswer: -22512","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b - 4*b = -5*u - 16, 5*u = -5*b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*(-598)\/260*5.\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 7, u: 6}. Give prob of picking 3 u.\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -19397, -37830, -56267, -74708, -93153, -111602, -130055?\nAnswer: -148512","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 12869 and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 18*z + 1. Let m be l(3). Suppose 4*w = 3*x - m, 2*x - 25 = w + 20. Let r = x + -49\/2. Which is greater: r or -1?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 172525 and 3547650.\nAnswer: 1675","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 16 - (3 - (26 + -70))\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -59*c + 8888 = -3089. What is the remainder when 1220 is divided by c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 12 = -4*r, -z = 3*r - 2*z - 9. Let g(f) = 2*f + f**r - f**2 + f - f**2. Let m = -7614 + 7616. Give g(m).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -45 - -90c189?\nAnswer: 90c144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -9961 (base 13) in base 3?\nAnswer: -1002022121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 10\/(-5) - 1636\/(-4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = t. Let b(s) = -2*s. Let n(u) = -3*b(u) - 2*x(u). Let f(p) be the second derivative of p**4\/12 + p. Calculate n(f(j)).\nAnswer: 4*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 616145 is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(1\/8)*(x*x*x\/x**(-5))\/x)**(-8\/9)\/(x**(-2\/5)\/x**6*(x\/(x*x**(-2\/3)))\/x**4) assuming x is positive.\nAnswer: x**(17\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-6)\/2 + (-6)\/(-3). Let u(p) = -3*p**3 + 2*p**2 - 1. Let c be u(b). Factor -3*s + c - 6*s**2 - s + 2*s**2 + s**2.\nAnswer: -(s + 2)*(3*s - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 252 divided by 46605?\nAnswer: 84\/15535","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -f**2*w**2 - 51*f**2*w + 5*f**2 + 2*f*w**2 - 70324*w**2 - 109*w wrt w.\nAnswer: -2*f**2 + 4*f - 140648","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*z + 5957 = 1526. List the prime factors of z.\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52 = v - 48. Let i(m) = 0 - 2*m + 4*m**2 - 2*m - 2. Let u(r) = -17*r**2 + 17*r + 7. Let g(k) = v*u(k) - 18*i(k). Suppose g(y) = 0. What is y?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*c - c + 10. Suppose q = -2*r - c*q + 7, 0 = 4*r + 2*q - 10. Let b(w) = w**2 + 0 - 2 + r. Let v(g) = -12*g. Calculate b(v(z)).\nAnswer: 144*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 200*o**2 - 11*o + 10. Determine m(1).\nAnswer: 199","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2337, -4691, -7063, -9453, -11861, -14287?\nAnswer: -16731","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 785.8 - -0.7.\nAnswer: 786.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = v**3 + v**2 + v - 6. Suppose 167*k = 164*k. What is r(k)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*v - 2203 + 475. Suppose -g + 13*g = v. What is the highest common factor of g and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 81\/38 + 417\/152. Let u = 5695 + -79769\/14. Find the common denominator of x and u.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 19\/(-28) + 1\/4. Let n = 403 + -439. Which is the third biggest value? (a) n (b) -4 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -51662.528 to the nearest ten.\nAnswer: -51660","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 3199*k - 10. Let w = -9 - -12. Let q = -7 - w. Let o be z(q). Round o to the nearest ten thousand.\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/(-3) - (-114)\/(-9). Let t(q) = -3*q - 39. Let z be t(d). Let v = -1 + 1.1. What is the biggest value in 4, z, v?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 92312449 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that y**2\/4 + 13*y\/2 - 90 = 0.\nAnswer: -36, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*n + 94*n**2 - 4*n + 448*n**2.\nAnswer: 542*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5424852?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is five eighths of a kilometer in meters?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - o - 1 = 0. Suppose 5*d = 3*y - 31, -5*d - o = 2*y - 5. Solve 0 = 5*q + 3*t + y, -2*q + 4*t + 20 = 2*q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 47 - 142 = 35*f + 80 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 16440 to the power of 1\/2, to the nearest integer?\nAnswer: 128","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 121 minutes before 6:57 PM?\nAnswer: 4:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -1629773.129 rounded to the nearest one thousand?\nAnswer: -1630000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -21793 - -21798. Let n(d) = 14*d - 83. What is n(o)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = -2*z - 6, z - 22 = -5*w - 1. Solve 0 = -3*h + 3*m - 15, 3 = h - w*m + 5*m for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 156, 0.004, 0, 78?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 5 and 2645?\nAnswer: 2645","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3735777 - 32?\nAnswer: -3736031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8665*n**2 - 8665*n**2 + 9090*n**3 + 55503*n**3.\nAnswer: 64593*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 212*i**5 + i**4 + 47*i**2 + 4*i + 16000 wrt i?\nAnswer: 4240*i**3 + 12*i**2 + 94","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 360258?\nAnswer: 2, 3, 97, 619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 130599*d**3 + 3387*d**3 + 13600*d**3.\nAnswer: 147586*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 3 = -2*k - 1, -4*o - 2 = -5*k. Determine l so that -1 + k + 1 - l**3 - 3*l**2 - l**3 + 3*l = 0.\nAnswer: -2, -1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-16)\/6)\/(1\/(-3)). Let c be 2\/8 + (-475)\/(-20). Calculate the greatest common divisor of p and c.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 6657 - 3095542\/465. Calculate the common denominator of a and 50\/27.\nAnswer: 4185","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 10 - 7. Suppose -2*o + 4*l = -52, 0 = x*l + 3 - 0. Calculate the highest common divisor of o and 60.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 18 - 25 - 3 + 9*t**2 - 2*t**2 + 1.\nAnswer: 7*t**2 - 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -x + 0 + 0. Let y(q) = -12*q + 2*q + 11*q. Give s(y(p)).\nAnswer: -p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3517 - 3385. Calculate the lowest common multiple of 432 and a.\nAnswer: 4752","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -68*z**3\/23 - 130*z**2\/23 - 56*z\/23 + 6\/23.\nAnswer: -2*(z + 1)**2*(34*z - 3)\/23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 51423 + 1843 = 0. What is the units digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -4462, -4461, -4460, -4459, -4458, -4457?\n\"Answer: i - 4463","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 226, 478, 720, 952, 1174?\n\"Answer: -5*w**2 + 267*w - 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 5, 3, -954 in decreasing order.\nAnswer: 5, 3, -2, -954","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 11067 divided by 6?\nAnswer: 3689\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + -5 - (-9 - 0)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 49.03343382 rounded to one decimal place?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = 2 - 17, 2*h + 2 = 3*n. Let v = -1.1 - -0.8. Which is the nearest to -0.1? (a) n (b) v (c) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 148 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2010\/(-84) - (-22 - -9 - 3294\/(-252)).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -188*m + 189*m = -2*r + 3388, 3*r + 12 = 0. List the prime factors of m.\nAnswer: 2, 3, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1*842\/(-3))\/(6\/9). Suppose 97 = -9*v + w. Calculate the smallest common multiple of 24 and v.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 11382414 and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -75865*f**4 - 41017.\nAnswer: -303460*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 5 - 7 = 0. Find the first derivative of -3*y**4 - 2 + 7*y**4 + 12*y**l - 37*y**4 wrt y.\nAnswer: -84*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = p**2 + 2*p - 1. Let v(q) = 2*q**2 + 2*q - 1. Let a(t) = -3*r(t) + 2*v(t). List the prime factors of a(4).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h when two letters picked without replacement from hwhwhwhwhh.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + 6*(sqrt(272) + -1*sqrt(272)) + 2 + (sqrt(272) - (sqrt(272) + 0)))**2 - -5*(-1 + sqrt(612) + 2 + -2).\nAnswer: 4 + 30*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -751 + 751.00005808. Round h to 6 decimal places.\nAnswer: 0.000058","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 13*g**3*j + g**3*x - 269*g**3 - 424*g**2*j - 2*g**2 + 6*j*x with respect to j.\nAnswer: 13*g**3 - 424*g**2 + 6*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -75658828 divided by 4?\nAnswer: -18914707","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -m**2 + 640*m + 15909. What is j(-24)?\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -219 + 219. Suppose 5*x - 20 = m, -5*a + 905 = -4*x - x. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.5, -20\/33, 2\/21, 297?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) be the third derivative of -y**7\/1680 - y**6\/360 + 2*y**5\/15 - y**4\/12 + 25*y**2. Let n(d) be the third derivative of b(d). Give n(-4).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -137 - 80?\nAnswer: -217","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 20185 and 4510.\nAnswer: 1655170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -l**3 - 14*l**2 - l - 12. Let m be u(-14). Solve -d = 3*i + 2, 0 = m*d + 2*d - 3*i - 22 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = -2*l + j - 11, -2*l = 5*j - 3. Suppose -l*v + 2*v + 346 = 0. Let r = 248 - v. Is 42 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -10*p - 20. Determine y(-6).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) be the first derivative of s**6\/15 + s**5\/5 - 2*s**3\/3 - s**2 + 2*s + 3. Let a(k) be the first derivative of m(k). Factor a(u).\nAnswer: 2*(u - 1)*(u + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -8.149 + 1.152. Let n = 7 + k. Round n to three decimal places.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(9\/7)*(r*r**(-1\/13))\/r)\/(r\/(r**(-2\/3)\/r))**26 assuming r is positive.\nAnswer: r**(-18598\/273)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 576533, 576549, 576565, 576581, 576597, 576613?\n\"Answer: 16*f + 576517","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1069 - 1069 + 7*g**2 + (-2*g + 2*g - 4*g)*(-2*g + 3*g - 3*g) to the form h + j*g**2 + s*g and give j.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -172525*n**3 + 12*n - 12*n.\nAnswer: -172525*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0 + 20. Suppose 0*x - 5*x + l = 0. Solve 0 = -x*j + 1 + 11 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 109448.\nAnswer: 2, 13681","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 45 is divided by 16.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-248)\/(-1) - (-15)\/(1 - 6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 50 - 30. Suppose -25*t = -21*t - d. Solve 3*p = -t*g - 19, -p - 4*g = -9*g - 7 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 468, 920, 1370, 1818?\n\"Answer: -l**2 + 455*l + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in six fifths of a millennium?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -32, 8, -10, 40 in descending order.\nAnswer: 40, 8, -10, -32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 3\/(-2)*(3 + 155\/(-15)) + -31\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) be the second derivative of -899*q**8\/56 - q**5\/10 + 272*q**4\/3 + 354*q - 2. What is the third derivative of d(n) wrt n?\nAnswer: -107880*n**3 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g\/(g**9*g))\/g*g)\/(g**(-6\/13)*g*g))\/((g\/((g**(-2\/25)\/g)\/g))\/(g\/g**(-1\/4))) assuming g is positive.\nAnswer: g**(-16079\/1300)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 306\/238*28\/(-20)?\nAnswer: -9\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6163 is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 32\/20*165\/(-6). Let h = i + 62. Let f = h - 17. Solve -y - f = -4 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -51*v**2 - 3140 + 1570 + 9*v**6 + 1570 wrt v.\nAnswer: 1080*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3065565?\nAnswer: 3, 5, 204371","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 304\/52 - -4 - 2\/(-13). Solve 4*y + 5*a = -45, 4*y + 0 + u = 2*a for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*u - 71*u**2 + 1 - 10843*u**3 + 10844*u**3 - 37*u**2 + 45*u**2 + 6*u to the form h + c*u**3 + y*u**2 + i*u and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1467 (base 8) to base 3.\nAnswer: -1010111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = s**2 - s - 4. Let a be i(3). Let p(c) = 99999*c**2 + 3*c - 2. Let w be p(a). Round w to the nearest one million.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 16, 17, 84 in ascending order.\nAnswer: 16, 17, 84","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = h**3 - h + 3. Suppose -k + 15 = -1. Suppose 2*r = -3*x + k - 6, x + 5*r = 25. Let i be t(x). Let w(a) = -a + 4. Give w(i).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) be the first derivative of h**3 + h**2\/2 - 2. Let p be d(1). Suppose 0 = 2*u - 2*r - p, -5*u - 2*r + 8 - 19 = 0. Is -1\/9 at most u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 185560 a multiple of 667?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -16 - -27. Let k = -10.8 + x. Let z = k + 0.1. What is the biggest value in z, 5\/2, 0.5?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 56 + -38. Calculate the greatest common factor of x and 27.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-18)\/42*7 + 16\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -81*m + 121*m = 0 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) be the second derivative of d**6\/15 + 11*d**5 + 3025*d**4\/6 - 1215*d. Factor r(a).\nAnswer: 2*a**2*(a + 55)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7a2 (base 11) to base 8\nAnswer: 1677","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 11777265 divided by -3105\nAnswer: -3793","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1.8 + -0.2. Let w = 32.7 - 34. Let y = 0.7 - w. Which is the third biggest value? (a) y (b) -1 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 689 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*f - 1968 = 2934. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1.4 - 1.31. Let f = l + -0.04. Which is bigger: f or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/(i*i*i**2))\/i**(4\/3))**12*(i*i*i\/(i**3\/i)*i)\/i**0*(i\/(i*i**4))\/(i\/i**(-7)) assuming i is positive.\nAnswer: i**(-62)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 2567, 5254, 7963, 10706, 13495, 16342, 19259, 22258?\n\"Answer: 2*x**3 - x**2 + 2676*x - 110","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = 2*d. Let m(a) = -3*a + 30. Let v be m(d). Suppose 3*s - v = -2*s. Solve 2*c + 0*c = -s for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -524\/1809 - -7\/67. Calculate the common denominator of -17\/30 and x.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2180\/9 + -242. Is 1 at most n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -4151, -4168, -4185, -4202, -4219, -4236?\n\"Answer: -17*w - 4134","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/5 + (-18)\/40)*8?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) be the third derivative of -b**5\/60 - b**4\/4 + b**2 - 7. Let v be k(0). Let g = -5 - -8. Solve v = -0*i + g*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -152*u - 150 = -122*u for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*1*sqrt(7))**2 + 3.\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = -3*s - r, -4*r = -3*s - 4. Let v(t) = t**3 - t**2 + t + 1. Let p(c) = -5*c**3 + 5*c**2 - 4*c - 4. Let u(j) = s*v(j) + p(j). Solve u(f) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2220\/(-1935285)*(-44)\/8?\nAnswer: 2\/317","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -x**3 + 259*x**2 - 1515*x + 6. What is o(6)?\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -30 - -47. Suppose 4*p = -g + o, 4*p - 4*g - 11 - 21 = 0. Suppose 82 = p*f + 17. List the prime factors of f.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 4 - -10?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/(-2))\/(-1*5\/10)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(-2 + (sqrt(300)\/sqrt(54))\/(-2*sqrt(10)*-2))**2 + 3.\nAnswer: -2473\/144 + 5*sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 24*n**2 + 868*n - 872*n + 44*n**3 - 3 - 3*n**3. Let s(w) = w**3 - 2*w - 1. Let y(x) = j(x) - 2*s(x). Find the third derivative of y(g) wrt g.\nAnswer: 234","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.005473911 rounded to three decimal places?\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-46)\/299)\/(13 + (-5583)\/429) - 10?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5 + 13. Let n be -2 - a\/(8\/(-2)). Solve 5*i - 3*u + 8 = 0, 0 = 3*i - n*i + 3*u for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -62671773*x**5 + 248144929*x**2 wrt x.\nAnswer: -3760306380*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 46*u**3 + u**2 + u + 4. What are the prime factors of f(2)?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2.6608, -0.01, 5?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.4 (b) -3 (c) -0.5 (d) -22 (e) 0.05 (f) -15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -3*h**2 + 22*h + 1. Let o(l) = -7*l**2 + 45*l + 1. Let w(p) = -9*c(p) + 4*o(p). What is the remainder when w(-9) is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -379 - -340.6. Let n = i + 42. Let a = -16.3 + n. What is a rounded to 0 dps?\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = u**3 + 14*u**2 - 17*u - 36. Let a be q(-15). Suppose -4*m + 64 = -188. Let n = m + a. List the prime factors of n.\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 5731*h*l**2 + 2*h*l*t**2 - 9447*h*t**2 + 2*h - l*t + t**2 + 2*t wrt l?\nAnswer: 11462*h*l + 2*h*t**2 - t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 5, x: 4, h: 2}. What is prob of sequence xx?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -98*m - 1298 = -3258 for m.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 941, 5059, -5, -1 in ascending order.\nAnswer: -5, -1, 941, 5059","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -44300764 (base 8) to base 2\nAnswer: -100100011000000111110100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**9)**(-3)\/(b*(b*b\/(b**(-2\/35)*b)*b)\/b)**(-12\/13) assuming b is positive.\nAnswer: b**(-11421\/455)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42 - 7 = 4*w + 95 for w.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 133\/370731600 and 101\/198?\nAnswer: 4078047600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.03733969483 rounded to three decimal places?\nAnswer: -0.037","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 32 = -3*d - 0*b, 11 = 4*d + 5*b. Let y be 4\/((-6)\/d*3). Does 5 divide 2772\/60 + y\/10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 9, w: 2, i: 1, e: 7}. What is prob of sequence iw?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-15)\/(-2)*(-2656)\/(-72)*1425\/38?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hhhhhhhhhh. What is prob of picking 4 h?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - w - 33 = 0, 2*w = -3 + 9. Let y = x - -14. Let q(s) = -s**2 + 1. Let k(a) = 2*a**2 + a - 2. Let b = 22 - 28. What is b*q(f) + y*k(f)?\nAnswer: -2*f**2 - 4*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = -2*i + 52. Let w = -16 - -26. What is the least common multiple of 183\/i + (-4)\/24 and w?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 11 - 6. Let p(r) = 2*r**3 - 6*r**2 + 4*r + 3. Let a be p(3). What is the greatest common factor of a and m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) be the second derivative of 2*j**6\/75 - 7*j**5\/25 + j**4 - 6*j**3\/5 - 25*j. Factor x(l).\nAnswer: 4*l*(l - 3)**2*(l - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, b: 1, o: 1, g: 1, y: 2, d: 2}. Give prob of picking 1 g and 1 m.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1966 - -25587\/13. Find the common denominator of 16\/75 and r.\nAnswer: 975","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 60*c**2 - 26*c**2 + 3*c - 4 - 12*c + 46*c**2. Let r be d(-6). Suppose -9*m - m + r = 0. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(1536)*1 - (sqrt(1536) + sqrt(1536) + -1*sqrt(1536)*2 + sqrt(1536) - sqrt(1536)))\/((sqrt(96) - (3*2*sqrt(96) - sqrt(96)))\/sqrt(12)*-1).\nAnswer: -6*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.5 and -0.0263.\nAnswer: 0.01315","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-u - 2 + 2)*(-1 + 0 - 2)*(3 + 0 - 5) + (1 - 2 - 1)*(3*u - 3*u + u) - 6 + 6 + 5*u to c + h*u and give h.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 f when four letters picked without replacement from {x: 2, f: 10}.\nAnswer: 14\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -y + 3*i - i - 1, 3*y = i - 13. Let v(n) = n**2 - 6*n + 12. Let q be v(8). Let h = y + q. Calculate the greatest common divisor of h and 46.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = -4*a + 348, -b = 4*a + 2*b - 372. Calculate the highest common divisor of a and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -13 + 15. Suppose -4*f = 2*x - 60, n*x - 54 = -f - 0*f. Is x a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3074 a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 8.9 (b) -4\/7 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 4*y - 22. Let g be s(6). Let r(v) be the third derivative of 0*v + 0*v**3 + 1\/72*v**4 - 7\/180*v**5 + 1\/24*v**6 - 1\/70*v**7 + g*v**2 + 0. Factor r(t).\nAnswer: -t*(t - 1)*(3*t - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 158218, 158052, 157886, 157720, 157554?\n\"Answer: -166*s + 158384","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4 + -61. Let v be (-48)\/(-195) - 10\/d. Which is the biggest value? (a) -1\/5 (b) v (c) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (3*-1)\/(1530\/60)?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -83a77a (base 15) to base 3\nAnswer: -102210011021121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are -105 and -8 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.001068646 to six decimal places.\nAnswer: -0.001069","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 16 and 11044.\nAnswer: 44176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 129 - 1239 = s, 3*g = 2*s + 1110. What are the prime factors of g?\nAnswer: 2, 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 10 + -32. Let p = u - -8. Let h = p + 13. What is the second biggest value in 3, h, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -16443000 to the nearest 1000000.\nAnswer: -16000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = p**2 + 3*p + 2. Let b be 1 - 2 - (1 - (3 + -1)). Let s be z(b). Solve -3*y + 5 = 2*y + d, s*y - 2*d = 2 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4*7\/42)\/(12\/(-4))?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28 + 8*m - 10*m + 28.\nAnswer: -2*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 669, 2890, 6951, 13146, 21769, 33114, 47475, 65146?\n\"Answer: 49*x**3 + 626*x**2 - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3648 + 3648.4. Which is the closest to x? (a) -0.13 (b) 0.24 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 803*a - 40559 = 693*a + 17411. What is the remainder when a is divided by 43?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20686569 is divided by 13?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) be the second derivative of r**4\/48 - r**2\/8 + 2*r. Factor h(g).\nAnswer: (g - 1)*(g + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*t = -0 - 21. Solve -16*u**t + 10*u**4 - 3*u**5 + 0*u**5 + 5*u**4 - 6*u + 21*u**2 - 11*u**3 = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 257 a factor of 28445788?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -4*i**3 + 2*i**2 + i + 11. Give o(-2).\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 518 and 308.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*j**3 - 2*j**3 - 2*j**3 + (3*j - 2*j - 3*j)*(-2*j + 2*j + 2*j**2) in the form b*j + f*j**3 + p + y*j**2 and give f.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 2*y + 15. Let z be b(-5). Suppose 2*o + 3*o = -4*f + 95597, -z*f + 5*o + 119440 = 0. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 912877 a multiple of 350?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 136943 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that 5*h**3 - 4105*h**2 + 12280*h - 8180 = 0.\nAnswer: 1, 2, 818","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 77.4584 micrograms?\nAnswer: 0.0774584","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 66427.\nAnswer: 181, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 4\/19 (b) 3 (c) -48 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 231 and 63127722?\nAnswer: 694404942","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -11 - -22. Let z(w) = -w**2 + 14*w + 14. Let r be z(l). Suppose r = 3*g + 8. Is 4 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 88 is divided by 28.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5646086*v**5 - 92*v + 433.\nAnswer: -112921720*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 10 = 143. Let k(q) be the first derivative of -25*q**3\/3 + 17*q**2\/2 - 46. Let f(t) = -3*t**2 + 2*t. Give s*f(o) + 6*k(o).\nAnswer: 3*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 85574300?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mm when two letters picked without replacement from {g: 1, n: 9, m: 3, o: 5}?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) be the second derivative of -1\/90*c**5 + 0*c**3 + 0 - 4\/27*c**6 + 1\/54*c**4 - 30*c + 0*c**2. Factor l(o).\nAnswer: -2*o**2*(4*o + 1)*(5*o - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.0319 and -249.\nAnswer: -248.9681","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*x + 2*x - 10. Suppose 65 = 7*l - x*l. What is the units digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 508397 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 a when two letters picked without replacement from sassaassassssasssss?\nAnswer: 70\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Total of 796 and -2914.\nAnswer: -2118","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2\/7 (b) -2\/5 (c) -1 (d) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1.5 in -1\/3, 7, -3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 99 and 22.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -u**3 + 6*u**2 - 6*u + 2. Suppose 3*q = 5*d - q - 22, 4*d = -3*q - 1. Let b = d - -3. Let f be p(b). Is f not equal to -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2142613 - 8?\nAnswer: 2142606","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + 0 - 4)*(-17 + 14*t**2 + 17 + (11*t + 28*t - 81*t)*(t - t - t)).\nAnswer: 56*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -z. Let l(j) be the third derivative of -j**6\/120 + j**5\/6 - j**4\/3 + 4*j**3\/3 - j**2. Calculate the remainder when l(9) is divided by f(-9).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3 + -6. Let z be 24\/14 + 1 + j. Let k = -14 - -13. Are k and z non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7358074707.\nAnswer: 3, 47, 52184927","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that 3*h**4\/5 - 72*h**3\/5 - 423*h**2 - 13872*h\/5 - 24768\/5 = 0.\nAnswer: -8, -3, 43","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/n**(-1\/4))**(2\/139)*(n**(2\/3)*n)**28 assuming n is positive.\nAnswer: n**(38935\/834)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -a**3 + 5*a**2 + 11*a - 44. Let n be d(5). What is the second derivative of -1 - 2 + 11*c + n*c - 154*c**3 + 17*c - 47*c wrt c?\nAnswer: -924*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) be the second derivative of -2*c**3\/3 + 23*c. Let m(s) = s. Determine m(j(p)).\nAnswer: -4*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 11673710*u**3 + 511425093*u**2 wrt u.\nAnswer: 70042260","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwwzllzw. What is prob of sequence ww?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 481659343 rounded to the nearest 100000?\nAnswer: 481700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3179 - -3178.981. Sort -1, -0.1, j, 0.3, 2 in increasing order.\nAnswer: -1, -0.1, j, 0.3, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, u: 1, s: 1, h: 2, o: 1}. What is prob of picking 1 s and 1 k?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Suppose v**2\/2 + 345377*v\/2 + 1036113 = 0. Calculate v.\nAnswer: -345371, -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -313*t**3 + 202*t**2 + t + 2. Let f(u) = -312*u**3 + 203*u**2 + 2*u + 3. Let n(r) = 2*f(r) - 3*j(r). What is the third derivative of n(g) wrt g?\nAnswer: 1890","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 102 divide 13282542?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:23 PM and 7:08 AM?\nAnswer: 585","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -28 - (-2 - (-9 + 19) - 16)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -u**2 - u + 9. Calculate f(0).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*4*(sqrt(2673) + sqrt(2673)*-2))\/(3*sqrt(704)*-1*-4).\nAnswer: -9*sqrt(3)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) be the second derivative of u**5\/20 + 11*u**4\/12 + 5*u**3\/6 + u**2\/2 - 14*u. Let h be v(-4). Calculate the highest common factor of h and 31.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 159.14 + -159. Let f = 0.26 + k. Let m = 0.7 - -0.3. Which is the third smallest value? (a) -0.2 (b) m (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 60097057 a multiple of 2413?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-4)\/(-22) - (-2771)\/187)\/3. Suppose -8*h = -53 + v. What is the biggest value in 4, -4, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/m**(1\/3))**(-36)*m**(-1\/3)*m\/(m\/(m\/(m*((m\/(m\/m**(-1\/6))*m)\/m)\/m*m)))*m)**5 assuming m is positive.\nAnswer: m**(-695\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4 + -4. Let z be (-1 - -2)\/((-1)\/(-5)). Suppose a = z*d - d - 8. What is the units digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 12206.7 - 12160. Sort -1, y, 2\/5, 4 in increasing order.\nAnswer: -1, 2\/5, 4, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 30 and 573.\nAnswer: 5730","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 2*l**3 + 89*l**2 + 214*l + 189. What is i(-42)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -150*h - 105 + 49 + 356 = 0 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 32, -7, -122, -355, -748?\nAnswer: -1343","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 85857?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 71\/1791 and 16\/1393.\nAnswer: 12537","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000079548297 to 7 decimal places.\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 b when two letters picked without replacement from {b: 2, y: 4, h: 2, f: 1, r: 1}.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/2, -1383, 10, 0.4, 3609 in decreasing order.\nAnswer: 3609, 10, 3\/2, 0.4, -1383","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 309 a factor of 3242646?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 - 11 + 14)*(-4*l - 2*l + 5*l).\nAnswer: 4*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is ((6\/(-15))\/((-7)\/(-35)))\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -4*g. Let s(r) = r - 1. Let k be 171\/33 - (-14)\/(-77). Suppose 3 + k = 8*i. Calculate i*d(v) + 3*s(v).\nAnswer: -v - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 8185.276 meters?\nAnswer: 8185276000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-1))**(-28\/3)*(l**(4\/9)\/l)\/l**4 assuming l is positive.\nAnswer: l**(43\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express c**3 + 20*c + 6*c**4 + 11*c**3 - 7*c**3 + 17*c - 8*c**4 in the form q*c + m + r*c**2 + l*c**4 + f*c**3 and give q.\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (4\/1 - 4)\/(-2 - -4). Suppose 3*j - 4*r - 21 = 0, -3*j + 7*j + 4*r - 56 = c. Let z(w) = -j*w + 27*w - 11*w. Calculate z(-2).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -49\/1158 and -95\/1188.\nAnswer: 229284","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3203130563 - 3?\nAnswer: -3203130566","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/((6\/(-20))\/(1428\/(-595))) - 16\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (1 + -2)*(-4 - (-36)\/9). Suppose -2*a = 5*y - 143, k*a + 4*a - 3*y = 351. What is the tens digit of a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eleththtltelhttle. Give prob of picking 2 h.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 35572?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rlrlrlzlllwz. Give prob of sequence wr.\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -84 - -79. Which is the second smallest value? (a) 3 (b) k (c) 0 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.48245 weeks in nanoseconds?\nAnswer: 3315785760000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(405) - (sqrt(405) + sqrt(405) + -4)) + -2)*4)**2.\nAnswer: -576*sqrt(5) + 6544","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y = -38 + 22 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:54 PM and 8:12 PM?\nAnswer: 318","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 238065176 * 4\nAnswer: 952260704","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.66989 to two dps.\nAnswer: -0.67","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -3 + (-3 - 14\/(-2)) - -1. Solve 0*b - p*b + 3 = 5*u, -5*u = -3*b + 17 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 3 - 4 = 0. Calculate the remainder when 15 is divided by s.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -33\/10 and (4218\/84 - 6) + 4\/14.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 296 + -3846\/13. Sort 0.5, 4, i in increasing order.\nAnswer: i, 0.5, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 615 + 4?\nAnswer: 621","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 307 divide 18992555?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 83675 + -83672.66198. Let g = 2.34 - c. Round g to 4 dps.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1\/2*(-21 + 5). Let v be a\/44 - 317\/11. Let h = -27 - v. What are the prime factors of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 7, d: 2}. Give prob of sequence dhd.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 102216096*c**2 + 432*c - 48903 wrt c.\nAnswer: 204432192","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/(6\/28) - -9 - 4.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 4, -2\/5, -26803, -1, 0.2, 1, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 286 minutes after 11:14 PM?\nAnswer: 4:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 133 + -135.95. Let t = 3 + c. Let l = t - 4.05. Put l, 0.3, 2 in increasing order.\nAnswer: l, 0.3, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-16)\/28 + (-54473)\/(-427) + -32.\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 8577 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 4.5 (b) -2 (c) 0 (d) -0.26\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.1 (b) -2\/27 (c) -15.8 (d) -0.4 (e) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 729 and 965086407.\nAnswer: 243","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6 + 4 - 3)*(n + 3*n - 2*n)*(2 + 7*n - 5*n + 0 + 2*n**2) to m*n**2 + h*n**3 + t + o*n and give o.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1\/3 or -17.54?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 6201 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4 + -28. Let k = 26 + v. Let u(t) = 2*t**2 - 50. Let z be u(-5). Solve -j + k*j + 2 = z for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((o*o**7)\/o)\/o*o*o**(4\/5))**(16\/3))**21 assuming o is positive.\nAnswer: o**(4368\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*m + 3*m - 3*m)*(0 - 6 - 1) + 25*m - 72*m - 79*m.\nAnswer: -105*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -s**2 - s. Let z(l) = -8*l**2 - 3*l + 2. Determine -3*c(t) + z(t).\nAnswer: -5*t**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 171, -5853, 14, -2 in decreasing order.\nAnswer: 171, 14, -2, -5853","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 63 less than 115?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) be the second derivative of n**8\/280 - n**4\/3 - n**3 + 3*n. Let m(i) be the second derivative of d(i). What is the first derivative of m(w) wrt w?\nAnswer: 24*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -155\/726 and 149\/6468?\nAnswer: 71148","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-8)\/92*(-1)\/2. Let r(w) = 2*w**3 - 3*w + 2. Suppose 0 = -6*h - 0 + 6. Let n be r(h). Which is greater: n or a?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = x**3 + 39*x**2 - 41*x - 40. Let n be u(-40). Let q(k) be the first derivative of -7 + 1\/8*k**4 + n*k - 1\/4*k**2 - 1\/12*k**3 + 1\/20*k**5. Factor q(y).\nAnswer: y*(y - 1)*(y + 1)*(y + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((4*i**2 - 3*i**2 + i**2)*(0*i - 6*i + 4*i) - 7*i**3 + 0*i**3 + 4*i**3)*(2*i + 0*i - i + 0*i - 4*i + 6*i + (5 - 5 - 2*i)*(3 - 3 - 2) + i + i - i).\nAnswer: -56*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1513107?\nAnswer: 3, 56041","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 283 is divided by 36?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -660 = -2*v + 4*w, -3*v + 4*v + 4*w - 318 = 0. Calculate the remainder when v is divided by 109.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -8*(-38700003)\/(-18) + 60\/45. Round h to the nearest one million.\nAnswer: -17000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 700 minutes after 2:57 PM?\nAnswer: 2:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-42)\/35)\/((-3)\/300). Let a = -50 + 98. Suppose -c = -3*c + a. Calculate the highest common factor of l and c.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -z + 25. Let o be c(9). Solve 6*j - o = 2*u + 2*j, 2*j - 16 = -3*u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + 3 + (36 + (-14 - 1) - 15)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4545 is divided by 21?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 187*p - 182*p + 85 = -12*k, 15 = -4*k + p for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven tenths of a kilometer in meters?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 149?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 456899?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3259356?\nAnswer: 2, 3, 47, 5779","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 7, -65, 5, 3 in descending order.\nAnswer: 7, 5, 3, 2, -65","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -3\/8 (b) -23 (c) -1\/3 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, -13\/3, 0.01, -6, -1\/40 in descending order.\nAnswer: 0.01, -1\/40, -0.4, -13\/3, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2\/11 + -25*24\/(-88). Find the common denominator of 115\/14 and (-3)\/c - -3*(-741)\/(-630).\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d when two letters picked without replacement from sdddsddddddskddd.\nAnswer: 11\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0\/((51\/(-153))\/(2\/18))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -11138, 2, 4.\nAnswer: -11138, -2, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b + 3*b + z = -130 + 126, -2*b - 2 = 8*z for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*b - 14391 = 19*b. Let q = b + 369. Solve -5*o - q = 2 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2.6 and 111654.8?\nAnswer: 290302.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u - g = 2*g + 10, 5*g + 14 = u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -121*t**5 - 13*t**4 + 12*t**2 + 9. Let b(h) = 61*h**5 + 6*h**4 - 6*h**2 - 4. Let v(m) = -13*b(m) - 6*c(m). Find the third derivative of v(x) wrt x.\nAnswer: -4020*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -3978814*z + 12. Let d be c(2). Let i = 11157616 + d. What is i rounded to the nearest one million?\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1721.654565 rounded to zero dps?\nAnswer: 1722","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 + 8*z)*(-43*z + 8*z - 29*z).\nAnswer: -512*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is n in -3*n**2 + 25992*n + 78003 = 0?\nAnswer: -3, 8667","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -112565324 equal to -112565323?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that -2*p**3 - 1428396*p**2 - 255036534786*p + 1020168993608 = 0.\nAnswer: -357101, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j**2\/6 + 967*j\/2 = 0 for j.\nAnswer: 0, 2901","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*x + x. Suppose x*q - 55 = -q. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) be the third derivative of 19*d**4\/24 - 5*d**3\/6 + 5*d**2 - d + 349. Let m(o) = 1. Determine l(n) + 5*m(n).\nAnswer: 19*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -31, -148, -467, -1090, -2119, -3656, -5803?\n\"Answer: -17*x**3 + x**2 - x - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10441?\nAnswer: 53, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 49.93093 to the nearest integer.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 273.3595 kilometers to micrometers.\nAnswer: 273359500000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.5 and -324244.\nAnswer: -162122","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -10 + 14. Let m = o - 4. Suppose 3*n + 4*s - 8 = m, 0*n = -n - 5*s - 1. What are the prime factors of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 3, 0.06, 0, -22\/16547, -0.1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 25 (b) 3 (c) 0.5 (d) 1017\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.18033 micrograms to milligrams.\nAnswer: 0.00618033","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 126 and 567.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -446 + k**3 + 0*k**3 - 438 + 885 - k**2. Let p(n) = -5*n**3 + 4*n**2 + 2*n. Determine -p(o) - 4*y(o).\nAnswer: o**3 - 2*o - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.8945105 decades to years.\nAnswer: 8.945105","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -f**3 - 8*f**2 - 4*f + 11. Give p(-8).\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (5 + -2)*(-4 + (-30)\/(-9)). Is (2 - -2)*(j - 9541\/(-4)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 65 and 140?\nAnswer: 1820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 13, n: 6}. What is prob of sequence pn?\nAnswer: 13\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - (-63)\/(-49) - 8\/(-14)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -8 - -12. Suppose z*s - 20 = 3*d, -5*d = -s + 4*s + 14. Suppose -9*g = -34 - s. Solve -16 - g = -5*u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 109\/91266 and -97\/39524?\nAnswer: 43990212","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 90 divided by 2\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4 - (4 + -3)) + 1?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q - 49 = -57 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3831032?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 10388 by -4.\nAnswer: -2597","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 32530?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 42172 and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1142*q**4 + 2857*q**3 - 4246142?\nAnswer: -4568*q**3 + 8571*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 241274047739 + i**3 - 241274047739.\nAnswer: i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (-180)\/1530 + 548\/34?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.194929 rounded to zero decimal places?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i\/i**14*i**(-20\/3))**26)**(6\/11))**(3\/16) assuming i is positive.\nAnswer: i**(-2301\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3*(-4)\/60)\/((-8)\/24)?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 10 = -c. Let s be 16\/c*(-5)\/(-2). Solve -i = -6*i + s*d - 5, i + 3*d + 20 = 0 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 5 (b) -14 (c) 14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-3)\/(-5) + 7\/105. Find w such that -f*w**2 + 2\/3*w**3 - 2\/9*w**4 + 2\/9*w + 0 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v**3\/4 - 39*v**2\/4 + 13*v + 3 = 0.\nAnswer: -1\/5, 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 480671453 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5806?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in three fifths of a microgram?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 c when four letters picked without replacement from {n: 2, a: 2, k: 1, p: 3, c: 4}?\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -141, -317, -619, -1053, -1625?\n\"Answer: -q**3 - 57*q**2 + 2*q - 85","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 1 + 4)*(-1 - 12 + 3)*(-2*i - 46 + 46)*(3 - 1 + 0) to the form f + w*i and give w.\nAnswer: 120","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4098*u - 8158*u - 5*u**2 + 4095*u to r*u**2 + x*u + b and give x.\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 628 or 629?\nAnswer: 629","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -65*p - 14*p**2 + 11*p**2 + 35*p + 30*p.\nAnswer: -3*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 2*o - 1. Let h(c) = c**2 - 3. Let b be h(-3). Give s(b).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 432 = 5*q - 379, -3*p - q = -1210. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1175153?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1192235 is divided by 238443.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 158 = -4*k + 6*k, 91 = s + 2*k. Let n(w) = 2*w + 39. Calculate the remainder when s is divided by n(-9).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -q + 5. Suppose -2 = 2*p + 14. Let x = p + 4. Is k(x) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18\/(-9) + (-4)\/(40\/(-35)).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 512 and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = -3*f + 16, 3*h + 4*f = -2*h + 11. What is the tens digit of 23 + (2 + 0)*h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) be the first derivative of p**2 - 14*p - 4. Let c be q(6). Suppose -o = -2*s + 5 - 1, 5*o = -20. Sort 1, c, s in decreasing order.\nAnswer: 1, s, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = -5 - 1. Let y(v) = -v**3 - 2*v**2 - 2*v - 3. Let k be y(i). Suppose -9*o = -24*o + 540. What is the greatest common factor of o and k?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 72.5*2.92\nAnswer: 211.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, x: 4, c: 7, l: 2, a: 2, m: 1}. What is prob of sequence ma?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 130062311 to the power of 1\/8, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33 = g - 7. Differentiate -g - 47 - 2*i**3 + 64 + i**2 wrt i.\nAnswer: -6*i**2 + 2*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = -2*c - 19, -2*c = 2*c - 4*v + 8. Let l = 81 + -79. Find the first derivative of o + c + 4*o + 2 - l*o wrt o.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) be the third derivative of 0*u**4 - 1\/1155*u**7 + 0 + 0*u**3 + 0*u + 2*u**2 + 1\/660*u**6 + 0*u**5. Solve z(l) = 0 for l.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 r when four letters picked without replacement from {r: 2, k: 6}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = z**3 - 7*z**2 - 5*z - 13. What is a(8)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -3*d + 6. Let z(f) = -13*f + 24. Let j(o) = 9*i(o) - 2*z(o). Let w be j(4). Is 6 > w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -910448*h**2 + 666705 with respect to h.\nAnswer: -1820896*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 999.1911 litres to millilitres.\nAnswer: 999191.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.09780335 to 2 decimal places.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5679 + 9718. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 2*o**3 - 7*o**2 - 13*o + 16. Let a be v(8). Let z = a - -3395. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-16)\/18*-147*612\/39984?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -t - 3 - t + 11*t**2 + 3 - 2*t**3 to the form k*t**2 + v*t**3 + a + j*t and give k.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (3\/(-6))\/((-3)\/30). Suppose -h + 5 = -3*r + r, 0 = -p*r - 5. Let k = 4 - 7. Sort 1, k, h in decreasing order.\nAnswer: h, 1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 210 and 135.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2590853 and 1525.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 61982777 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -107410.89 + 106478. Let p = q + 906. Let x = p - -25.1. Round x to one decimal place.\nAnswer: -1.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -j**2 - 52*j - 308. Let u be a(-19). What is the greatest common divisor of 22 and u?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 minutes after 9:57 AM?\nAnswer: 10:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 3952550, 7905108, 11857666, 15810224, 19762782, 23715340?\n\"Answer: 3952558*v - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 37652.57 micrometers?\nAnswer: 37652570","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -2 - (-73 + (-6)\/(-2)). Suppose 9051 = -65*y + p*y. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (27\/(-15))\/(80\/(-50) + 1). Let u(j) be the third derivative of 6*j**2 + 1\/20*j**5 + 0 + 0*j**4 + 0*j**w + 0*j. Let r(p) = 6*p**2. Give u(r(b)).\nAnswer: 108*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -139*x + 2248 = -420*x for x.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 212010 (base 3) in base 9?\nAnswer: 763","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 131 (base 9) in base 12?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 2, o: 3, a: 1, l: 5, p: 5}. What is prob of sequence wop?\nAnswer: 1\/112","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 4*p = -30, -27 = -0*z - 2*z - 5*p. Suppose 7*d = 3*d + 28. Let x = z + d. What are the prime factors of x?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) be the third derivative of j**8\/112 + 2*j**7\/105 - j**6\/30 - j**5\/10 + j**4\/24 + j**3\/3 - 40*j**2. Factor v(f).\nAnswer: (f - 1)*(f + 1)**3*(3*f - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = q - 2*r + 7*r - 135, 5*q = -4*r + 717. Suppose -33 = -5*u - 3. Suppose -w + u*w - m = q, 2*w + m = 58. What is the units digit of w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*d**3 + d**2 - 51*d - 31*d + 0*d**2 + 4 - 4 - 2*d**3 + (0 + 1 + 3)*(3*d**3 - 5*d**3 + d**3).\nAnswer: -8*d**3 + d**2 - 82*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 165238, 329170, 493102, 657034, 820966?\n\"Answer: 163932*g + 1306","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2649*s**2 - 3282*s**2 + 5471*s**2 - 2*s + (s - s - 2*s)*(-s + 1 - 1) + 4*s**2 - 4*s**2 - s**2.\nAnswer: -459*s**2 - 2*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-12)\/10)\/(363\/605).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 206397682 a multiple of 694?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1209894430 to the power of 1\/2, to the nearest integer?\nAnswer: 34784","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.1079 - -46.9921. Let k = 47 - z. Put -11, 0, k, -4 in decreasing order.\nAnswer: 0, k, -4, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 62289703 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 946.74 rounded to the nearest ten?\nAnswer: 950","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 598230941.\nAnswer: 7, 11, 19, 461, 887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 13 - 26. Let h(w) = -w**3 - 13*w**2 + w + 13. Let f be h(d). Sort -4, f, -5 in descending order.\nAnswer: f, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = -5*p + 400, -2*p - 50 + 130 = x. What are the prime factors of (x - (0 + 2)) + (-9 - -7)?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 59981?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2937232*q*w**2 + 2*q*w - 12*q + 4*w + 1208143 wrt w.\nAnswer: 5874464*q*w + 2*q + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: ((-1526)\/(-2071))\/(((-32)\/(-76))\/8)\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (2 - 2)\/(-3) + 23. Suppose 0 = 5*c - 0*q + 2*q - f, q = -1. Suppose 0 = -c*a + 3*a + 38. What is the tens digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) be the third derivative of -49*z**4\/12 - 9*z**2. Let i(m) = m. Give j(i(b)).\nAnswer: -98*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1345868?\nAnswer: 2, 23, 14629","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3.8109 - 3.496627. Round s to 2 dps.\nAnswer: 0.31","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 34 - 32. Sort 6, -4, o in descending order.\nAnswer: 6, o, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0*(-3 + 2) - 5*-3. Let o(b) = -b**2 - 7*b. Let k be o(u). Let a = -215 - k. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 222931882?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 46 a factor of 436862?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 6? (a) -2\/19 (b) 57 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 22992647 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -36*(1\/(-3) + 0 + -4 + 4).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1342 and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5236128 to the nearest integer?\nAnswer: 174","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1475 - -1410 - (0 + -29).\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -64546 + 112774. Calculate the highest common divisor of u and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 26567 and 217?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -61*n - 12. Calculate g(-1).\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 15, -52\/7, 1\/8, -115.\nAnswer: -115, -52\/7, 1\/8, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7 - 63\/(-42))\/((-1)\/(-2))?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -23715711 divided by 1?\nAnswer: -23715711","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -4*b - 46. Let j be l(-12). Suppose -j*z + 6*z = z. Solve z = -t - t + 10 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -444 = 48*p - 54*p. Let j(o) = -o**3 - 3*o**2 + 6*o + 5. Calculate the remainder when p is divided by j(-5).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -0.4, 0.024, 2, -1\/25?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-19*k + 29*k + 55*k)*(-15 + 22 - 26).\nAnswer: -1235*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 68274 to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 200.83 + -119.3. Let q = n + -82. What is q rounded to one decimal place?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 6251*r + 6408*r + 8815*r as t + m*r and give m.\nAnswer: 21474","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f**4 + 8*f**3 + 13*f**2 + 6*f = 0. Calculate f.\nAnswer: -6, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -27*c**2 - 7*c. Let t(p) = -14*p**2 - 4*p. What is 7*t(i) - 4*u(i)?\nAnswer: 10*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -5*q. Let s(t) be the first derivative of 0*t**3 + 7\/2*t**2 + 0*t + 1\/20*t**5 + 0*t**4 - 2. Let w(i) be the second derivative of s(i). Give m(w(j)).\nAnswer: -15*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 2 + 4)*(-9 + 2 - 8)*(3*w**3 - w**3 + 0*w**3).\nAnswer: -60*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 355*b**3*v**4 + 3*b**3 + 2*v**4 + v**2 - 20*v wrt v?\nAnswer: 8520*b**3*v + 48*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2937 divided by 267.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8, -7, -44, -109, -208, -347, -532, -769?\nAnswer: -1064","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 56 + -53. Solve 0 = 2*j + m*j - 25 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -2717340, -5434760, -8152180, -10869600, -13587020?\n\"Answer: -2717420*w + 80","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -s**3 - s - 1. Let q be u(0). Let f be (-4 + 3)\/(1*q). Let t = 21\/4 - 155\/28. What is the nearest to t in 1\/4, f, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00002614 rounded to six decimal places?\nAnswer: 0.000026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:04 PM and 9:00 AM?\nAnswer: 596","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -429*p**2 + 22*p - 15. Let t(x) = -143*x**2 + 7*x - 5. Let h(s) = -7*t(s) + 2*w(s). Is h(3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1158757902 to the nearest integer?\nAnswer: 34041","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 180934061?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 179335000 rounded to the nearest one million?\nAnswer: 179000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 305803917?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5 + 4.6. Sort 1.9, -5, b in ascending order.\nAnswer: -5, b, 1.9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 282554, 565104, 847646, 1130180, 1412706, 1695224, 1977734?\nAnswer: 2260236","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) be the third derivative of 17\/2*y**3 + 56*y**2 + 0*y + 13\/12*y**4 + 0. Find the first derivative of i(k) wrt k.\nAnswer: 26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -t - 9. Let q = 169 - 169. Suppose 4*s + 51 - 23 = q. Determine i(s).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -4*c**2 - 15*c - 8. Let w(v) = v**2 + 4*v + 2. Calculate -2*o(a) - 9*w(a).\nAnswer: -a**2 - 6*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 275, 17, -5, -14?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -803*s + 272*s + 265*s + 23142 = 0 for s.\nAnswer: 87","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 62097 - 53763.3. Round c to the nearest one hundred.\nAnswer: 8300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k**(5\/2)*k\/k**(-9\/5))**(-15))**(-1\/18))**(11\/4) assuming k is positive.\nAnswer: k**(583\/48)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*y - y + 6*y)*(-2*y**2 - 3*y**2 - 4*y**2)*(19 - 12 - 6) to the form z*y**2 + a*y + b*y**3 + x and give b.\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*n - 7*c + 24, 34*c - 102*c + 35*c - 4 = -36*c - 4 for n.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 52 + -3 + 14 + -16.\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 11*l**2. Let u(g) = g**2 - g**2 + 2*g**2 + 0*g**2. Determine u(s(z)).\nAnswer: 242*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that f**2 - 33439980*f + 279558065600100 = 0.\nAnswer: 16719990","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -27*x - 88. Let c(o) = 15*o + 44. Let t(h) = 7*c(h) + 4*m(h). Let s be t(-18). Solve s*f + 15 = -5 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 - k**2)*(-2*k**2 + 2*k - 2*k) + (-k**3 + 0*k**3 + 2*k**3)*(18*k + 6*k + 4*k).\nAnswer: 30*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1145675660?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 7\/860800 and -133\/192960.\nAnswer: 519062400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 4*m = 333, 336 = 3*r - 4*m + 9*m. What is the remainder when r is divided by 16?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -2*i. Let j be f(-1). Let d(b) = -3*b**2 - 3 - 3*b + 2*b**j + 9*b. Calculate d(3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 48 minutes after 8:55 AM?\nAnswer: 9:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 9 - 7. Let i(o) = o**2 + 5*o + 6. Let x be i(-4). Solve 0 = -b*t - x*t + 12 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/42 of a week in hours?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10 - 28 + 5*j - 10)*(-3*j - 3 + 3).\nAnswer: -15*j**2 + 84*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((0\/4)\/(-2))\/3. Solve -3*t + 4*a - 7 = p, 4*t + a - 19 = -t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 60 - 58. Solve 0 = s*f + 2*f + 2*q + 6, -5*q - 15 = -5*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) be the second derivative of -a**4\/3 - a + 11. Let x(j) be the third derivative of -3*j**2 + 1\/24*j**4 + 0*j**3 + 0 + 0*j. Calculate x(l(v)).\nAnswer: -4*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (130\/(-637)*-7)\/(5\/(105\/(-3)))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3599 is divided by 106?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 11923286 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 262 divide 30952?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -4 + 2*c + 5*c - c. Let m(k) = k - 1. Let t(l) = -g(l) + 4*m(l). Let p(q) = -4*q. Determine t(p(r)).\nAnswer: 8*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -7452 + 7448. Which is the second smallest value? (a) 0.167 (b) 1 (c) j (d) -1\/3 (e) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3, -0.2, 0.14, -3, -1\/4, -3558\/17?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2 + 1. Let s = 6.64 + 0.36. Let v = s + -11. Sort 0.1, r, v in increasing order.\nAnswer: v, r, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -892, 3099, 7090, 11081, 15072?\nAnswer: 19063","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -6, 0, 16, 42, 78?\n\"Answer: 5*y**2 - 9*y - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1958?\nAnswer: 2, 11, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand -10*h - 12*h + 21*h + (0 + 0 + 2*h)*(0 - 3 + 2).\nAnswer: -3*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/3)\/((-1939)\/(-1662)).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18431746 is divided by 19.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 22\/33*(-3)\/2 - -48. Suppose x*n - 42*n = 295. List the prime factors of n.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 1 + 42*x - 83*x + 42*x.\nAnswer: x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 9 and 6486.\nAnswer: 19458","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/(-3)*1*(-9)\/(-9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -12645482.224 + -12651.776. Let p = x - -12658134.31299162. Let k = 0.313 - p. Round k to six decimal places.\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((11\/(176\/12))\/((-48)\/256))\/(6\/(-72)).\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 4*l + 11. Let q(o) = -1 + 3*o**2 - 3*o - 2*o**2 + 3. Is 9 a factor of q(l)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 195 - 37?\nAnswer: 15a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10277 + 20688 = 25*w + 9861 for w.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 6934777 a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -7 - -9. Suppose -2 = -39*w - 158. Sort -137, 3, w, f.\nAnswer: -137, w, f, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = v. Let i(q) = -4 + 28 + 226*q - 228*q. Give i(r(p)).\nAnswer: -2*p + 24","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 3*w - 4*w = -720, 5*s - w = 891. Let r = 2460 - s. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 5*l**2 - l + 1. Let b be ((-383)\/(-11))\/1 - 32\/(-176). Suppose -36 + b = -p. What is s(p)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6095056 is divided by 28?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -h**3 - h**2 + 27*h + 12. Determine f(5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = l**3 + 5*l**2 + 2*l + 5. Let z be n(-5). Let x be 51\/15 + 2\/z. Suppose 0*v + x*v - 39 = 0. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1077 - 1075. Let s be 1\/5 + 10\/75. Let t = 0.3 - 0.28. What is the nearest to t in a, s, 2\/19?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2 + -2. Let a be (-2)\/((-20)\/12 - -1). Put -3, j, a in decreasing order.\nAnswer: a, -3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) be the first derivative of v**5\/5 - 16*v**3\/3 + v**2\/2 + 11*v + 126. What is the second derivative of b(r) wrt r?\nAnswer: 12*r**2 - 32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 538 minutes before 7:29 PM?\nAnswer: 10:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -17.19 take away -13.32?\nAnswer: -3.87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 + 6)*((3*g**2 - 4*g**2 + 3*g**2)*(3*g**2 - 2*g**2 + g**2) - 2 + 2 - 3*g**4).\nAnswer: 7*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 346 - 30*a**2 + 632*a**2 - 9*a**2 - 346 + 630*a**2.\nAnswer: 1223*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = r**2 - 6*r - 2. Let v be k(6). Let w be 7\/(-9) + v\/9. Let l = w - -10. Calculate the highest common divisor of 1 and l.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(2\/19))**43 assuming p is positive.\nAnswer: p**(86\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -32 + 24. Calculate the remainder when 84 is divided by (68\/8)\/((-4)\/a).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/(c**(-12)*c))\/(c\/(c\/c**6))*(c*c*c\/c**(-1\/3))**(-20))**4 assuming c is positive.\nAnswer: c**(-728\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -129 - -129. Solve -2*p + t*p = 0 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that -945*g**5 + 13500*g**4 - 46620*g**3 + 64880*g**2 - 37440*g + 6400 = 0.\nAnswer: 2\/7, 4\/3, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1849 = 9*o - 4820. What are the prime factors of o?\nAnswer: 3, 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -1968*z + 104309. Give s(53).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 2, 1, 4.\nAnswer: 0, 1, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-4)\/3 + (-176)\/48. Let w(t) = 30*t**2 - 7. What is the tens digit of w(d)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44*u - 174*u + 13000 = 0. Is 20 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 2*f**2. Suppose l - 1 - 3 = 0. Let v(m) = -l*m + 22 + 18 - 50. What is c(v(t))?\nAnswer: 32*t**2 + 160*t + 200","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*d + 10*d = 4. Which is smaller: d or 47?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 50? (a) -0.4 (b) 4 (c) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -z**3 - 2353 - 959 - 3285.\nAnswer: -z**3 - 6597","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*g - 3*g + 0*g)*(-16 + 14*g**3 + 16) - 7*g**4 + 6*g**2 - 6*g**2 as x + c*g + z*g**2 + t*g**3 + v*g**4 and give v.\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2413418*y - 2413423*y = 3*i - 10, -3*y = 4*i - 6 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.9132 nanometers in kilometers?\nAnswer: 0.0000000000059132","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/2 (b) 1\/11 (c) 17 (d) 3 (e) -22\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nvnn when four letters picked without replacement from {k: 2, p: 1, v: 4, a: 3, n: 9}?\nAnswer: 7\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 689*d + 5006 - 23609 = 0 for d.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2406714.\nAnswer: 2, 3, 401119","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 2, n: 1, b: 1}. Give prob of sequence nbp.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1 + 13. Suppose -4*j + 0 = -q. Solve -5*y - 14 = 3*s, -j*y + 10 + 2 = -5*s for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = k - 2*b, 5*k = 5*b - 7 - 18. Let q(a) = -2*a - 2. Determine q(k).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -41 + 20*d + 32 + 21 + 3*d**2. Calculate k(-6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -35 divided by 173\nAnswer: -35\/173","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 3*b - 12. Let d = -10 - 2. Let u(p) = 1. Calculate d*u(g) - n(g).\nAnswer: -3*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -179 = -38*y + 11 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1423257 and 143616.\nAnswer: 561","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2 + 76\/6)*(-15)\/(-10). Suppose 33*d - 29*d - y = 0. Suppose -2*i - 67 = -2*l + 17, 0 = -5*l + d*i + 213. Does 6 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15407.\nAnswer: 7, 31, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -o**2 - 10*o - 12. Let c be a(-8). Let m be (-26)\/(-6) + c\/6. Suppose m*s = s - 12. Put -2, 2, s in descending order.\nAnswer: 2, -2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 30*o + 642. Let c be z(-20). Solve -18*h + 32*h + c = 0 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) be the second derivative of 13*m**2 + 0 + 0*m**3 - 22*m - 1\/6*m**4. Differentiate q(t) with respect to t.\nAnswer: -4*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2 (b) -1\/6 (c) 4 (d) -0.0568 (e) 6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 42\/8 + (-15)\/60. Suppose 0 = 2*p - p + u*m - 21, 3*m = 12. Calculate the greatest common divisor of p and 8.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.26, 9, -1\/3, 17?\nAnswer: 0.26","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -63 + 78 + z - 82 - 85 to i + q*z and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 2*w - 4. Let k(t) = t - 1. Let u(l) = -3*k(l) + z(l). Let s(h) be the first derivative of -5*h**2\/2 - 9*h + 23093. Give -s(f) + 6*u(f).\nAnswer: -f + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t + 48*a - 50*a = -15, 75 = -3*t + 8*t - 11*a for t.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 391545?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 20546356?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fifteen quarters of a litre?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 23*y + 370. Let m be w(-16). Differentiate 87558 - 3*r - 11*r - 87464 - m*r**2 wrt r.\nAnswer: -4*r - 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(704)*-5.\nAnswer: -40*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1011700 is divided by 167?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = q**2 + 7*q + 9. Let j be p(-8). Solve k + 1 = -o, -3*k = -2*o + 6 + j for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-86)\/(-3) + -6*10\/(-180) is divided by 7.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3ad (base 15) to base 14\nAnswer: -43c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -365716*n**3 + 1514501*n wrt n?\nAnswer: -2194296*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -4*m + 4. Let f be r(4). Let s be ((-3)\/f)\/(2\/8). Suppose 0*w + 1 = -w + 4*z, -3*z + 1 = -w. What is the third biggest value in s, w, 2?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*j - 3*j + 2*j + (3 + 1 - 2)*(j + j + 0*j) - 1 + 1 - j + j + 5*j + 0*j.\nAnswer: 12*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:38 AM and 5:37 PM?\nAnswer: 539","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.102695 to two dps.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange d**3 + 622*d**2 - 6*d**3 + 1 + 2*d**3 - 624*d**2 - 32*d to the form q + n*d + k*d**2 + s*d**3 and give n.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -46 * 0.0923\nAnswer: -4.2458","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) be the third derivative of y**6\/120 + y**5\/10 - y**4\/3 - y**3\/6 + 83*y**2. Suppose -5*k - 30 = u - 0, 0 = -2*k + u - 19. Determine w(k).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -12089b68 - 0?\nAnswer: -12089b68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -42076, -84152, -126228, -168304?\nAnswer: -210380","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(6*(-2 + (sqrt(5) - sqrt(15)\/sqrt(3) - sqrt(5))**2 + 4) + ((sqrt(20) + 1 + sqrt(20) + 5 + sqrt(5) + 0 + sqrt(5) + sqrt(5))*-2)**2)*3.\nAnswer: 1008*sqrt(5) + 3498","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (5 + -6)\/((-2)\/14). Let d = -4 + i. Suppose 3*c + 0*c + y - d = 0, 0 = c + 2*y + 4. Do c and -0.4 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 313 + -93?\nAnswer: 260","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-d**3 + 0*d + 0*d + (2 + d**3 - 2)*(-2 + 3 + 2))*(3*d**2 + 38*d + 4 - 38*d).\nAnswer: 6*d**5 + 8*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -42*((-14)\/(-4) - 3). What are the prime factors of (-7)\/28 - w\/4?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = y**3 + 37 - y**2 + 11*y**2 - 9*y**2 - y + 48. Is x(0) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 127*n**2 - 38*n + 69*n - 31*n - 57*n**2 - 65*n**2.\nAnswer: 5*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 196 in 1, 2, 3\/37, -5, 1\/2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sum 1017.27 and 17963.7797.\nAnswer: 18981.0497","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 34*1\/(-77) - 12\/42. Which is smaller: m or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 5, 11.7, -0.03?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 135 is divided by 46?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -f**2 - 6*f - 1. Calculate i(-7).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = -c - 15. Let j be (-16)\/(-6) + (-1)\/c. Suppose 12*d**2 + 4*d + 6*d + 3*d**j + 2*d = 0. What is d?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 918365?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) be the second derivative of 61*b**3\/3 - 129*b**2\/2 + 2*b + 22. Calculate the remainder when t(6) is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 13 + 1 - 50 - 36*a + 16. What is the remainder when 102 is divided by i(-2)?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 23.1229 microseconds?\nAnswer: 0.0231229","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 220 and 12980.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1057\/16 - 221969\/3360. Let t = -16421\/70560 + q. Let y = t + 1\/98. Which is the biggest value? (a) y (b) -4 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -656 = -5*s + 2*h, -h = -5*s + 4*h + 650. Suppose 4 = -2*f, 19*i - 21*i + f + s = 0. What is the remainder when i is divided by 18?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 57888647*z**2 + 99840609.\nAnswer: 115777294*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) be the third derivative of 25*x**4\/24 + 2*x**3\/3 - 10*x**2. Is v(4) a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6836?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 43189*k**2 - 7*k + 7*k - 447294*k**2.\nAnswer: -404105*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1733 + 2088. Which is bigger: w or 354?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j*j\/(j**(1\/4)*j))\/((j**(2\/9)*j)\/j)*(j*j**(1\/2))**(-1\/17)*((j**0)**(-9))**(11\/3) assuming j is positive.\nAnswer: j**(881\/612)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 14600923 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -r**3 + 193*r**2 - 1323*r + 3872. What is s(186)?\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = 25, -n + 2 - 21 = 3*i. Let c = 6 + i. Is (3 - c)\/((-1)\/(-4)) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t\/t**(-15))\/t**6 assuming t is positive.\nAnswer: t**11","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -14 + 16. Let g(s) = s**3 + 2*s**2 + 2*s - 3. What is the tens digit of g(m)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/p**(-4\/3))\/(p*p**1)*p**3\/(p**6*p) assuming p is positive.\nAnswer: p**(-11\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3.5 - -3. Let u(n) = -n**2 + 2*n + 21. Let y(g) = -g**2 + g + 21. Let h(l) = 7*u(l) - 6*y(l). Let j be h(10). What is the closest to 1\/5 in k, j, 3\/7?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -156*b + 96. Let w(c) = -24*c + 15. Let s(m) = 5*u(m) - 32*w(m). Let q(g) = -6*g + 2*g + 2*g. Determine s(q(i)).\nAnswer: 24*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 171 minutes after 5:05 PM?\nAnswer: 7:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g - 3*v - v + 40 = 0, -v + 1 = -g. Suppose t = -2*m + g*t + 40, 5*m - t - 74 = 0. What are the prime factors of m?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -15*l + 46. Determine u(3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000945252 to 6 decimal places.\nAnswer: -0.000945","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9558 is divided by 2941?\nAnswer: 735","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = x - 6. Let r be i(11). Let c be 0 + ((-15)\/18)\/r. Let q(p) = 2*p**2 - 1. Let y be q(-1). Is y smaller than c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 189 + 93 + 167 + 189 + 196 + 4*i**2 - 834.\nAnswer: 4*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 358 + -356. Let n(i) = 2*i**2 - 29*i**2 + 25*i**x. Let l(v) be the second derivative of -v**4\/3 - v. Determine n(l(u)).\nAnswer: -32*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.022 + -3.022. Let o = 6 - 36. Let f be (-4)\/6*o\/(-16). What is the nearest to 2\/3 in b, f, 5?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -24 * 162.6276.\nAnswer: -3903.0624","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y = -3*f + y + 2466, 0 = -f - 2*y + 815. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -52 and 0.06.\nAnswer: -3.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - 8 = 7. Let u = -61 - -81. Let f = a + u. Solve 0*t + f = 5*t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*d - 5*d - 19*d**2 + (0 + 1 - 2)*(d**2 + 2*d**2 - d**2) + 0*d**2 - 2*d**2 + 0*d**2 - d + d - 3*d**2 + 2*d**2 + 2 - 2.\nAnswer: -24*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 109447961 to the nearest integer?\nAnswer: 10462","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 42054652 (base 8) to base 7\nAnswer: 135645020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -f + 8. Let u be r(5). Let c = 52 - 48. Suppose b - 82 = -4*o, u*o - 343 = -c*b - 28. Does 10 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -457.1 - -457. Which is the biggest value? (a) 1\/9 (b) 1\/8 (c) l (d) 2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -279 + 290. Solve -7*o + s = -3 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -13 - -37. What is the third biggest value in -4, t, -11?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1321359 to the nearest integer?\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*k + 600 - 2718. Let g = -556 - k. What is the hundreds digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6.3*-3\nAnswer: -18.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -3*u**2 - 24*u + 3. Give b(-12).\nAnswer: -141","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -24.1 + 23. What is the third smallest value in 0.1, t, -4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 33*c - 46*c - 28*c. Let x(u) = 2*u. Determine s(x(w)).\nAnswer: -82*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 535106?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/(1\/10) - -1) + 191 + -431 + 224\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(17) + -2 + sqrt(17) + 0)*-4 + -3)**2 + -3 + sqrt(17) + sqrt(17) + 2 + 2 + sqrt(425).\nAnswer: -73*sqrt(17) + 1114","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -7 + 9. Let y be -8*((-94)\/40 + n). Let 2*t**2 + 4\/5 + y*t = 0. What is t?\nAnswer: -1, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 145245668?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 271627\/22 - 12343. Let y = -7896850349\/612 - -12903346. Let f = y - 1\/153. Calculate the common denominator of m and f.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w - 7 = -2. Let y be ((-4)\/(-4))\/1*w. Is y smaller than -2\/67?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -5*d + 2. Let g be 2 - 2 - (1 + -2). Let q(p) be the third derivative of p**4\/24 - 7*p**2. Give g*x(r) + 3*q(r).\nAnswer: -2*r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6 + 9. Suppose -3*c + 5*r - 16 = -0, 0 = z*c - 2*r + 1. Suppose -c*x + 29 - 11 = 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: Calculate the highest common factor of 18 and 72153.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 27488579 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (26\/12)\/(13\/26*-1)*-6.\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 26\/4411939 and 22\/11641.\nAnswer: 4411939","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 19\/151965 and 193\/1110?\nAnswer: 11245410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 485 minutes after 7:33 AM?\nAnswer: 3:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 31*j**2 - 37638*j + 4831. Determine u(1214).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 293936243 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 132*u**2 + 37*u**2 - 4*u**2.\nAnswer: 165*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.06 and -3.4?\nAnswer: -0.204","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 25*(-3)\/(-2 - 1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b = 5*t + 16, 5*b - 17 - 5 = 4*t + 7 - 11 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) 2 (b) 3 (c) -2 (d) 451\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2491470 by 15.\nAnswer: -166098","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 791802 is divided by 291.\nAnswer: 282","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = -21 + 6. Let b(p) = -2*p + 9. Let u(t) = t - 5. Let y(k) = a*u(k) - 2*b(k). Calculate y(-5).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 584\/5 or 117?\nAnswer: 117","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 62232047 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) be the first derivative of -h**3\/3 - 3*h**2 - 11*h - 219. What is p(-8)?\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -193, -383, -573, -763, -953?\nAnswer: -1143","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 11124?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) be the second derivative of -k**4\/12 - 17*k**3\/6 + 21*k**2\/2 + 16*k. Let h be d(-14). What is the greatest common factor of h and 36?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -197*d - 78*d - 125*d - 87*d + 140*d.\nAnswer: -347*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1)\/((3 - 0)\/(-6)). Sort g, -3, -5 in decreasing order.\nAnswer: g, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-2)\/13 + (-287)\/(-91) + 2390?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -2\/87 and 103\/15698595.\nAnswer: 455259255","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = i**3 + 10*i**2 + 6*i - 10. Suppose 0 = -5*r + 3*r - 16. Let q be v(r). Suppose -q = -4*y + 50. What is the tens digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = -5*h + 3*i + 157, 0 = h + 4*i - 129. What are the prime factors of h?\nAnswer: 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 157\/91740 and -73\/1999932?\nAnswer: 9999660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 6*p. Let x be q(1). What is the third derivative of 2*h**6 - 2*h**2 + 8*h + 5*h**x - 8*h wrt h?\nAnswer: 840*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -20 + 774\/36 - (-6)\/4. Let o(f) be the second derivative of 0 - 2\/3*f**z + 1\/24*f**4 + 4*f**2 - 4*f. Determine u, given that o(u) = 0.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4535419?\nAnswer: 7, 647917","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2141 - 311?\nAnswer: -2452","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 95 + -76. Solve 4*c - 4*d + 2*d + 2 = 0, t = 4*c + 5*d for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 329546, 329583, 329620, 329657?\n\"Answer: 37*j + 329509","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 900956.4ng?\nAnswer: 0.9009564","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*z**3 + 2*z**3 - 4*z**3 + ((-4 + 1 + 2)*(-3 - 2 + 3) + 3 + 0 - 1)*(-7*z**3 + 32*z**3 - 9*z**3).\nAnswer: 60*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 75\/25*-1*(-2)\/(-2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 22, 4751, 3, -1, 5, -3 in decreasing order.\nAnswer: 4751, 22, 5, 3, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -6*z - 287 + 281 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -46*g - 8 + 192. Let r(p) = -p**3 + 8*p**2 - 12*p - 1. What is r(g)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = i**3 + 8*i**2 - 90*i + 396. Is 25 a factor of u(8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1935*w = 5106*w + 99498 + 231429 for w.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 109093699*f**2*m**3 + 2*f*m**3 - 11*f*m + 421*m - 16 wrt f?\nAnswer: 218187398*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-3)\/((-165)\/78 + 2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3610 and 17002378?\nAnswer: 722","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-16)\/(-10) + (-4)\/(-10). What is j in 3*j**2 - f*j**2 + j + 0 + 2*j + 2 = 0?\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2934, -40, -3, 32 in decreasing order.\nAnswer: 2934, 32, -3, -40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 43392144*b**2 + 288661536.\nAnswer: 86784288*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 361 + -21164?\nAnswer: -20903","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8453805?\nAnswer: 3, 5, 563587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 28654288601 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.06, -100.8, -17162.\nAnswer: -17162, -100.8, -0.06","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -2117959 divided by -1\nAnswer: 2117959","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -9936 (base 10) to base 15.\nAnswer: -2e26","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -o - 8. Let i be a(-10). Suppose i*v + 3 = 5*v. Solve p + v = q + 2*q, -p - 4 = 0 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*l**4 + l**4 + 5*l**4 - 2*l**4 + 4*l**4 - l**4 + (6*l**3 - 4*l**3 - l**3)*(3*l - 2*l + l) - l**4 + 0*l**4 - l**4 - l**4 + 21*l**2 - 21*l**2 + 11.\nAnswer: 2*l**4 + 11","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p + 11*g - 41*g + 164 = p - 22*g, 5*p = -2*g + 21 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 2, w: 2, e: 5, o: 1, r: 2, c: 1}. What is prob of sequence ow?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 12, 16, 16, 12, 4, -8?\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -696, -962, -1228, -1494, -1760, -2026?\n\"Answer: -266*f - 430","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -41*l**2. Let g(x) = -2665223*x. What is g(i(b))?\nAnswer: 109274143*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 times 1058152\nAnswer: -423260.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -7\/282 and -23\/5854085.\nAnswer: 35124510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 230*d = 223*d + 56 for d.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = 1, -2*z + 0*r = -2*r - 4. Put z, 2\/3, 0.4 in ascending order.\nAnswer: 0.4, 2\/3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 13 - 3. Let t(i) = 3*i**2 - 8*i + 2. Let y be t(b). Solve 9*q**3 - 3 - q - y*q**2 - 8*q + 225*q**2 = 0.\nAnswer: -1, -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 > -47559?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -3*c**3 - 4*c**2. Let i be t(-2). Suppose i*g - 11*g + 6 = 0. Solve -3 + 5 = g*f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -83*v + 154 wrt v.\nAnswer: -83","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*g**2 - 2*g**2 + 3*g**3 + (g**2 + 3*g - 3*g)*(-3*g + 3*g - 4*g).\nAnswer: -g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -451235000 (base 6) to base 8\nAnswer: -37162750","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-30)\/25*35\/(9450\/(-60))\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6563330?\nAnswer: 2, 5, 656333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.58 - -0.02. Let g = -194 + 196. Which is the third biggest value? (a) r (b) g (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 187256?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l and 2 f when four letters picked without replacement from {z: 3, l: 5, f: 4}.\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -19 (base 10) in base 6?\nAnswer: -31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) -2 (b) -28.5 (c) 5 (d) -0.8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2433*k + 334595 = -19124*k - 349736 for k.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 6364490541 to the power of 1\/3, to the nearest integer?\nAnswer: 1853","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide 18578700 by -61929.\nAnswer: -300","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in 0.3, 1455\/136, -0.01?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 24978 (b) 9 (c) 0.5 (d) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 58155.\nAnswer: 3, 5, 3877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.0257 and -122?\nAnswer: 121.9743","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lil when three letters picked without replacement from {i: 2, l: 4}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 - 3 - (2 + -2 + 1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l - 5*g - 5 = 0, 2*l - 2*g - 181 = -0*g - 187 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -143\/63168 and 59\/4209.\nAnswer: 88624704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (19*w - 24*w - 24*w)*((-1 - 1 - 3)*(4*w**2 + 2*w**2 - 5*w**2) + (-4*w + w + 5*w)*(2*w - 5*w + 2*w)).\nAnswer: 203*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 225780 is divided by 37569.\nAnswer: 366","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -10*c**2 + 3*c + 8. Let m(s) = 3*s**2 - s - 3. Let p(i) = -4*b(i) - 11*m(i). What is the least common multiple of 11 and p(-1)?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -58\/93 and -119\/150310530?\nAnswer: 4659626430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -69938633*-0.01.\nAnswer: 699386.33","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -247*m = -250*m + 18 for m.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*6*(2*(sqrt(5) + sqrt(5) + -2) + (sqrt(405)*-5 - sqrt(405))**2).\nAnswer: -262368 - 72*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1750\/(-10150))\/((-15)\/12).\nAnswer: 4\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((1*(-1*((sqrt(1539) - (0 + sqrt(1539))) + sqrt(1539)) + (sqrt(1539) - (sqrt(1539) + 1 - sqrt(1539))*3)) + 0)**2 + -4).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u - 2*u = -v + 19, 2*u + 5 = -v for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 2*w = 8, 3*w - 5 = s + 6. What is the units digit of s\/(-4)*26*1?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.2 (b) -5 (c) 0 (d) -17471\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 129 divide 85527?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2487 and 11181552.\nAnswer: 2487","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1280*x - 10*x - 687*x.\nAnswer: 583*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 24829\/9 + -2757. Find v such that 32\/9 + 2\/9*v**2 - x*v = 0.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, -7\/48, 0.13, -2\/9 in increasing order.\nAnswer: -2\/9, -0.2, -7\/48, 0.13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 171 is divided by 86?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**0)**(-34))**(1\/9)\/((v**(-1\/2)\/((v\/v**(2\/7))\/v*v))\/((v*v*(v*v*v**(-1\/6))\/v*v)\/(v\/v**2))) assuming v is positive.\nAnswer: v**(127\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sd when two letters picked without replacement from ssyeydyyeyyyyeeeye.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*p*v**2*w*x**2 - 18*p*v**2*x**2 + 495*p*w - 3*p*x + 8*v + 2*x**2 - 1 wrt w.\nAnswer: -3*p*v**2*x**2 + 495*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 560 = -3*f, 0*f - 2*f + 336 = 3*n. Suppose 0 = n*l - 106*l - 1098. Let v = -1283\/7 + l. Which is smaller: v or -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 14*z**4 - 57*z**4 - 4*z**4 + (0*z + z + 2*z)*(-z + 2*z**3 + z).\nAnswer: -41*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 86255 and 260.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 17512093 - 9295093. Suppose 12*o = o + b. Round o to the nearest one hundred thousand.\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 2, m: 3}. Give prob of sequence mbm.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) be the first derivative of x**3\/3 + x - 45. Let c(v) be the second derivative of v**5\/20 - v**4\/3 + v**3\/3 - 2*v**2 - v. Give c(s) + 4*y(s).\nAnswer: s**3 + 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 a when four letters picked without replacement from {a: 10}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 571, 3079, 9355, 21229, 40531, 69091, 108739, 161305?\n\"Answer: 305*n**3 + 54*n**2 + 211*n + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10549 divided by 3217.\nAnswer: 10549\/3217","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -41552 divided by 7\nAnswer: -5936","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4*t**4 + 738*t - 3352*t + 303*t - 1665*t + 88*t**3 wrt t?\nAnswer: 48*t**2 + 528*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) be the third derivative of a**9\/210 - 9*a**5\/40 - 5*a**4\/3 + 56*a**2. Let b(h) be the second derivative of s(h). Differentiate b(m) with respect to m.\nAnswer: 288*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/2? (a) 0.09 (b) -3448560 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 311060?\nAnswer: 2, 5, 103, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 3*p**2. Let k(o) = 27*o. What is k(x(c))?\nAnswer: 81*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b**2 - 140902*b - 281812 = 0.\nAnswer: -2, 70453","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -7*h**2. Let t(y) be the second derivative of -2*y**4\/3 + 10*y. What is t(z(u))?\nAnswer: -392*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2d - 16bba?\nAnswer: -16be8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0\/(12\/(-4) - -4). Suppose -2*z + 3*k = -0*z - 177, -5*z - 4*k + 408 = m. List the prime factors of z.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/((g**0\/g)\/g))**43\/((g*g**(1\/2)\/g)\/g)**(5\/14) assuming g is positive.\nAnswer: g**(3617\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 53546.468 rounded to the nearest one hundred?\nAnswer: 53500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 - 2 + 3)*(-6 + 0 - 1)*(2*c + 0*c - 4*c) - 2*c - 2*c + 2*c + (3*c - c - c)*(1 - 5 + 2) + 21*c - 204*c + 16*c as n*c + y and give n.\nAnswer: -199","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3720 - -11?\nAnswer: -370e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 plus -28.7424522?\nAnswer: -28.7424522","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1655038427 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16*3.\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 7802 and 648562.\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 18 and 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 1409 (base 16) to base 8\nAnswer: 12011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -p**3 + p**2 + p - 7. Let y be w(0). Let a = y - -25. Suppose -5*g = -2*f - f + 15, -g = -f + 5. Solve -2*n + 3*t = 8*t + 1, -f*n = -3*t + a for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3681967246 - -0.1.\nAnswer: 3681967246.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d*d**(-7)*d*d**4*(d**0)**(7\/4))\/(((d*d**(-1)*d*d)\/d)**(5\/9))**(-37) assuming d is positive.\nAnswer: d**(185\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-249)\/(-15) - 4) + (-2)\/(-5). Calculate the greatest common divisor of 13 and o.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -13*r + 13. Let g(p) = -12*p + 14. Let s(d) = -6*a(d) + 5*g(d). Find the first derivative of s(k) wrt k.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3 - ((-22)\/(-1))\/2. Let j be f\/6*(-6)\/4. Let p be -1*(-3 + 3) + j. Put 1, p, 4 in descending order.\nAnswer: 4, p, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 30 and 4320.\nAnswer: 4320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 2*z**3 - 317*z**2 + 77*z - 37596. Determine v(159).\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) be the second derivative of 1\/8*j**4 - 5\/6*j**3 + 2*j + 1\/60*j**5 + 0*j**2 + 0. Let i(h) be the second derivative of v(h). Differentiate i(g) wrt g.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 4\/21 (b) 75 (c) -113\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*y**5 - 5*y**3 + 5*y**3 + y**5 - 2*y**5 - y**5 + (0*y - 2*y + 0*y)*(0*y + 4*y**4 + 0*y))*(-23 + 47 + 50 + 71).\nAnswer: -1740*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -92*m + 80537446 = 30*m. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -c**3 + 22*c**2 - 38*c + 2. Let z be q(20). Calculate the common denominator of 3\/49 and (-4 - (-166)\/z)*-24.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2227759.\nAnswer: 89, 25031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 64*j + 24 = 70*j. Let x(a) = -60299*a + 60299*a - 2*a**2 + j*a**2. Let b(c) = -4*c**2 - 1. Calculate b(x(m)).\nAnswer: -16*m**4 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand 61*q**5 + 26*q**5 - 9*q**5 + (-3*q**5 + 2*q**5 + 3*q**5)*(-5 + 2 + 2) + q**5 + 0*q**5 - 2*q**5 - 3*q**5 - 3*q**5 + 5*q**5.\nAnswer: 74*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 3\/2, -2\/11, 3, -1\/10, -4\/9, -746841?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (78\/(-91))\/((-2)\/(-84)). Let t = z - -169. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-108)\/320 - (-14)\/35.\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 9*d**2 + d**4 + 21*d**4 + 2*d**4 wrt d?\nAnswer: 576*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -20, 2\/11, -0.1, 4?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) be the first derivative of 20*a**2 + 210*a + 143. Differentiate v(w) wrt w.\nAnswer: 40","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 36215?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 21370 (base 9) to base 16\nAnswer: 374d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 3\/11, 14\/9, -6\/11, 129.1?\nAnswer: 129.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) be the first derivative of -3*w**2\/2 - 7*w + 50. Differentiate y(g) wrt g.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3309896 and 4137370.\nAnswer: 16549480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express j**3 + 21 + 2*j - 3*j**4 - 2*j + 6*j**2 - 22 as x*j**2 + m + l*j**3 + o*j**4 + g*j and give x.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 + -14 - -1 - (-4 + -2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.026619l in millilitres?\nAnswer: 6026.619","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*b - 2*b - 3*b + (b - 3 + 3)*(0 + 7 - 1) + (0 - 1 - 3)*(-2*b + 0*b - b).\nAnswer: 17*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1*((-5)\/25 - 3\/(-15)). Suppose p = q + 4*s + 10, -14 - 11 = -5*q + 5*s. Solve -12 = -q*z - z for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -3, 0, -1\/9?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that 3*r**2\/5 - 996*r\/5 + 396 = 0.\nAnswer: 2, 330","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -95.32 + 95.43. Put -85, 1\/2, p in increasing order.\nAnswer: -85, p, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 209115?\nAnswer: 3, 5, 1549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20413*y**2 + y - 3*y - 20417*y**2.\nAnswer: -4*y**2 - 2*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (21*2\/(-9))\/((-16)\/648). Sort -0.5, 10, h in ascending order.\nAnswer: -0.5, 10, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r when two letters picked without replacement from {d: 1, c: 1, s: 6, r: 4, w: 1}?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:37 AM and 7:33 AM?\nAnswer: 176","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 17386.53 to the nearest 1000.\nAnswer: 17000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -122564 (base 7) in base 9?\nAnswer: -33875","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -31*k**5 - 121*k**4 - 2*k**3 - 3*k**2 + k - 24421.\nAnswer: -1860*k**2 - 2904*k - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 40 - 33*c + 40 - 3*c - 87. Is 8 a factor of i(-10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 14*q**2 + 4*q**2 - 5*q**2. Let y(h) be the second derivative of h**4\/6 + 2*h. What is p(y(l))?\nAnswer: 52*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0*(4\/(-8))\/(-1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6764 is divided by 101?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 26, -5, -8, 6 in decreasing order.\nAnswer: 26, 6, -5, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -4 (b) -3\/2 (c) -21 (d) 198.787\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 190dc (base 15) to base 8.\nAnswer: 236467","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -432*t - 477 wrt t.\nAnswer: -432","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = b - 2*j - 15, 2*j - 15 = -3*b. Let q(x) = x - 3. Let d be q(b). Is (2 - -128)\/d - -2 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 11 + 0. Let n(a) = 169 - 2*a**2 + 4*a**2 - 14*a - 168. Is n(v) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = a**3 - 12*a**2 + 2*a + 11. Give j(12).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -26*d**3*p + 38653*d**3*v**2 - 7*d**2*p*v**2 + 588*d**2*v**2 - d**2 - 2*p*v**2 wrt d?\nAnswer: -156*p + 231918*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/24*-2*(-42)\/49.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 33711820?\nAnswer: 2, 5, 1685591","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -2*f**2 - 10*f - 7. What is c(-5)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a kilometer in meters?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 16672 a multiple of 86?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is d in 3*d**2 - 2664702*d + 591719729067 = 0?\nAnswer: 444117","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -242011124 (base 5) to base 16.\nAnswer: -112d9d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -80031803 or -480190811\/6?\nAnswer: -80031803","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -c**4\/5 + 4*c**3\/5 - 6*c**2\/5 + 4*c\/5 - 1\/5.\nAnswer: -(c - 1)**4\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = t**3 + 20*t**2 + 22*t - 7. Let l be c(-19). What is the smallest value in l, 0, -0.04?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3367*l - 1 - 3678*l + 1725*l - 5799*l.\nAnswer: -11119*l - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 46\/15 - 12\/5. Let g = 1 - -1. Is q > g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = t - 6*t. Suppose -5*l + 0*l + 5 = 0. What is the remainder when (0 - l - t)*-2 is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a millennium in months?\nAnswer: 4500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 114, 171, 180, 135, 30, -141?\nAnswer: -384","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 61782 and 84.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide (8 - -6)\/((-1)\/(-4))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = r**2 - 4*r + 1. Calculate n(4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1408 and 1280.\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.0255*83.\nAnswer: -2.1165","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17094892.\nAnswer: 2, 97, 44059","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -5*h - 3. Let g(v) be the first derivative of -11*v**2\/2 - 7*v - 14. Suppose 2*s = -3 + 7. Suppose 8 - 23 = 3*z. Give s*g(f) + z*o(f).\nAnswer: 3*f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -k**3 + 8*k**2 - 8*k + 1. Let y be r(6). Let c = y + -22. Find the second derivative of 38*f + 30*f - c*f**5 - 50*f wrt f.\nAnswer: -60*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*g - 5*g + 7*g + 4*g.\nAnswer: 18*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -279.428 rounded to the nearest 100?\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - 3433508.72.\nAnswer: -3433509.72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor s**3\/3 - 86911*s**2\/3 - 57943*s + 86913.\nAnswer: (s - 86913)*(s - 1)*(s + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2412 is divided by 1212?\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5723822 years in decades?\nAnswer: 0.05723822","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = g**3 + 11*g**2 + g + 15. Let y be p(-11). Let w be (-4)\/(0 + -4) + y. Let c be 0\/(w\/(15\/(-6))). Solve 2*r + 3*r = c for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 95465559 to the power of 1\/2, to the nearest integer?\nAnswer: 9771","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -1 - x + 2*x**2 + 0*x - 3*x**2 + 2. Let s be 11\/(-33)*(-1 - 83). Suppose 8 = -s*k + 24*k. Let n(u) = 2*u**3 + 2*u**2 + u - 1. What is k*j(y) - n(y)?\nAnswer: -2*y**3 + y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (1947\/44)\/((-19)\/(-8) - 2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 2 b when three letters picked without replacement from ibiubk?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sum 87 and -47.606.\nAnswer: 39.394","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -67 (b) -71.36 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = -5*w + 53, 0 = u + 2 - 0. Suppose 9 = 5*r - w. Let j(s) = -s**3 + s + 1. Let l(b) = 3*b**3 - 4*b - 4. Calculate r*j(c) + l(c).\nAnswer: -c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 86*m - 45. Let y(q) = 35*q - 18. Let d(l) = -4*f(l) + 10*y(l). Let h(o) = 1551*o. Determine d(h(k)).\nAnswer: 9306*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 2.3, 2.958, -107 in decreasing order.\nAnswer: 2.958, 2.3, -107","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 5*((-8)\/20 - -1)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = 5*x - 50, 13 = -3*x + 4*x + 2*o. Put 0, 4, 3, x in decreasing order.\nAnswer: x, 4, 3, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2411.8 times 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -118 + 124. Suppose 5*f = -4*c + v, 8*f + 5*c = 9*f - 7. What are the prime factors of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4.30029 + -1018150.93.\nAnswer: -1018146.62971","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 10, -28, -131, -2, -0.3, 0.1?\nAnswer: -28","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 345 minutes before 9:02 PM?\nAnswer: 3:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 q and 1 s when four letters picked without replacement from {s: 5, d: 1, j: 1, q: 10}.\nAnswer: 30\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27*o**3 + 17*o**3 - 12*o**3.\nAnswer: 32*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:58 PM and 2:50 AM?\nAnswer: 292","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 (base 9) in base 3?\nAnswer: 1010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uxx when three letters picked without replacement from {n: 10, x: 3, u: 1, m: 4}?\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15694 = 415*p - 126*p + 124*p for p.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (7 - -2) + (-5)\/(10\/12). Let w(y) = -5*y + 1. Let u(b) = -4*b. Let x = 12 - 14. Determine x*w(q) + z*u(q).\nAnswer: -2*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -74 + 762 = 86*s for s.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -688 + 6304\/9. Which is smaller: u or 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j - 169 = -181 for j.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 402 - 6808762.77.\nAnswer: -6808360.77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w = 3*w - 57. Let d(i) = i**3 + 8*i**2 + 3. Let f be d(-8). Suppose -4*z + 36 = 5*s - 14, -6 = -f*s. What is the remainder when w is divided by z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4501026 and 3000684?\nAnswer: 9002052","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 7609 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -1688269*h - 13506170. Determine r(-8).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -11*n + 9*n. Let v be (n\/2 + 6)\/(1\/8). Which is the smallest value? (a) v (b) 0.3 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 808 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 23263 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*s**3\/3 + 418*s**2\/3 + 63788*s.\nAnswer: -2*s*(s - 431)*(s + 222)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 278432?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one fifths of a litre in millilitres?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0 + -0.5. Let t = -51939.7 - -51940. What is the nearest to 0.2 in u, 5, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 491 minutes after 12:33 AM?\nAnswer: 8:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3029, 3031, 3043, 3071, 3121, 3199?\nAnswer: 3311","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2d0e0 + -3?\nAnswer: 2d0dd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = 6860 + 4070. Suppose u = 4*t + 2*u - r, -t = -4*u - 555. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1371 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1279729 to the nearest integer?\nAnswer: 1131","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t + d + 1 = 4*d, t - 6*t - 3*d = -10*d + 1 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/40)\/((-2)\/10).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n**4\/7 + 318*n**3\/7 - 216*n**2 - 318*n\/7 + 1515\/7 = 0. What is n?\nAnswer: -1, 1, 5, 101","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -140 + 5?\nAnswer: -131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 122891599?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 109348?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Add 3129 and 58585.\nAnswer: 61714","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 14 - 1011?\nAnswer: -775","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*w = -9*w - 292. List the prime factors of w.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/(-3) + 18739\/15. Let s = 1432 - z. Let u = s + -184. Put u, -1\/5, -2 in increasing order.\nAnswer: -2, u, -1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -83\/2175772 and -13\/10300.\nAnswer: 54394300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1573) + sqrt(1573) + (3*sqrt(1573) + 5)**2)*1*4.\nAnswer: 1408*sqrt(13) + 56728","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 121*v + 123*v - 748 = 0, 583 = 3*b - 4*v. Does 21 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/(-630)*-9*(98\/(-216) + (-14)\/(-168))?\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = n**2 - 6*n + 9. Let w be y(4). Let r(z) = -3 + 3*z - 5*z + 5*z**2 - 1. Let g be (8\/10)\/(1\/5). Let h(f) = -f**2 + 1. What is g*h(u) + w*r(u)?\nAnswer: u**2 - 2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 5*o = 15, -y - o = -0*o - 1. Suppose -y*l + 37 = 3*x, -4*x - 3*l + 27 = -x. What is the units digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -43, -61, -47, 5, 101, 247, 449?\nAnswer: 713","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 0 + 4 - 5 + 6*q**3. Calculate v(-1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v**5\/7 - 50716*v**4\/7 + 36242*v**3 + 1623304*v**2\/7 + 1826136*v\/7 = 0. What is v?\nAnswer: -25363, -2, 0, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence byy when three letters picked without replacement from {o: 1, y: 3, b: 3}?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 9*c**2 + c + 1. Let z be f(-2). Suppose -5*b - z = -0*b. Let k = -3 - b. What is the greatest common factor of 8 and k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1095.\nAnswer: 3, 5, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (44*r + 359*r**2 - 2592*r**2 - 32*r - 13*r)*(-4 + 1 + 1)*(0*r - 3*r**2 + 0*r) in the form f + a*r**3 + u*r**2 + b*r + i*r**4 and give i.\nAnswer: -13398","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 17*t**2 - 71*t + 22. Does 85 divide y(9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -f**2 - 1456*f + 474. Give v(0).\nAnswer: 474","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 2*z**3 - 127*z**2 - 189*z - 389. Let a be o(65). Let y(t) = -5*t - 30. Let l(k) = k + 1. Calculate a*y(u) + 4*l(u).\nAnswer: -u - 26","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/2 less than or equal to 15664?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -13591 - -13595. Sort 0.3, 0.4, l, 2\/3 in decreasing order.\nAnswer: l, 2\/3, 0.4, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4\/(-20) + 2\/10. Suppose f = -3*g - 9, -t + 37 = 4*g - g. Does 23 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 150\/60*1350\/(-21375).\nAnswer: -3\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1754669?\nAnswer: 7, 19, 79, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is sixty-one halves of a litre in millilitres?\nAnswer: 30500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -12688.08 times 22\nAnswer: -279137.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*g + 4*t - 286, -429 = -0*g - 3*g - 3*t. Let x = 7 - -3. Let p = 23 - x. Calculate the highest common divisor of p and g.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = 4*f + 1, f - 1 = -3*f + h. Let l be 213 + ((-9)\/(-3))\/(f - 1). Suppose 15*o = 12*o + l. What is the highest common factor of 20 and o?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -c + 21 + 3*c - 18. Let n(q) be the second derivative of q**3\/6 + q**2 - 534*q. Determine 3*j(b) - 5*n(b).\nAnswer: b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*v - 6*v + 10*v - 2*v.\nAnswer: -2*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -179\/1037640 and 19\/157072755.\nAnswer: 1256582040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -4*v**3 - 14*v**2 + 2*v - 6. Does 27 divide x(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = -3*n + 21, 0 = -16*n + 21*n - 45. Which is the smallest value? (a) t (b) 4\/3 (c) 1.14\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 774429455 take away 96.41?\nAnswer: 774429358.59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -14a (base 12) to base 11.\nAnswer: -174","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00002251039453 rounded to 6 dps?\nAnswer: -0.000023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:14 AM and 8:42 AM?\nAnswer: 508","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/(s\/s**(1\/2)))**(-30)\/(((s\/s**(2\/15))\/s)\/((((s*s**(-1)\/s)\/s)\/s*s)\/s)) assuming s is positive.\nAnswer: s**(-268\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = 4*v + 10, 0*v = -v - 5. Is 7 a factor of (-14)\/4*(-4 + y)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -i**2 + 9*i - 10. Give a(8).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -172*m - 494 = 3765 + 1073 for m.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eqpbppeqtq. What is prob of sequence pqq?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 8\/(-6)*(-1)\/(-10). Let w = -0.03 + 7.03. Let y = 11 - w. Which is the third biggest value? (a) y (b) -0.2 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 386 minutes after 2:48 AM?\nAnswer: 9:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 32538895573 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -34*i + 6*i**2 + 303*i - 123*i - 48*i.\nAnswer: 6*i**2 + 98*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -18 - ((-69 - -64) + 7 + 2).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -46837.61733 rounded to the nearest 100?\nAnswer: -46800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11 - 111111?\nAnswer: -111100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is (1 + -119387)*54\/(-108) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 48468928 is divided by 1588.\nAnswer: 1580","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1866453 + 4?\nAnswer: 1866457","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 4*n + 8*n - 62 = 0, -3*u + n + 27 = 0. Solve -u = -3*k + k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1128)\/(-20) + ((-6)\/(-14))\/((-8)\/(1960\/(-175)))\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 880*y - 885*y - 3*m + 25 = 0, y - 2*m + 8 = 0 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:53 PM and 12:41 AM?\nAnswer: 468","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 36, 50, 64?\nAnswer: 78","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1838.8973483 rounded to 0 decimal places?\nAnswer: 1839","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that m**2 - 49*m + 48 = 0.\nAnswer: 1, 48","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:28 AM and 10:44 AM?\nAnswer: 136","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 344*b**3 - 3*b**2 - 6*b + 6. Let v(a) = 197112*a**3 - 1720*a**2 - 3440*a + 3440. Calculate -6*v(q) + 3440*z(q).\nAnswer: 688*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u\/(u\/u**(1\/19))*u*u*u\/(u**(-8)\/u*u))\/(u*(u**(-20)*u)\/u*u\/(u\/(u*u*u**(-8\/7)*u))*u) assuming u is positive.\nAnswer: u**(3750\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 81132 and 18?\nAnswer: 243396","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(114)\/(-2*sqrt(150))*3 + 2.\nAnswer: -3*sqrt(19)\/10 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 374 a factor of 161407760?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(b\/(b\/(b*b**(-5\/4)*b))))**(-5\/2) assuming b is positive.\nAnswer: b**(-5\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*p - 24*p + 6*p - 53*p.\nAnswer: -76*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 65200?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1592.981 minutes in nanoseconds?\nAnswer: 95578860000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-8)\/(-20)*-1 - 138\/5. Put -5, -3, c, -4 in decreasing order.\nAnswer: -3, -4, -5, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor q**2 - 29676*q - 29677.\nAnswer: (q - 29677)*(q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -13*z. Let s(i) be the second derivative of 0*i**3 + 0*i**2 + 37*i - 1\/6*i**4 + 0. Give s(r(g)).\nAnswer: -338*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Do 1\/834 and 0 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -87 - -179. Is 7 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 23 and 75233?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Add 41.575664 and 0.12.\nAnswer: 41.695664","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iin when three letters picked without replacement from {i: 3, n: 2, z: 4}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -505365\/2 or -252682?\nAnswer: -505365\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/40 of a litre?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 - 4 - 28)*(-332 - 160*y**3 + 332) as c*y + j*y**2 + z + m*y**3 and give m.\nAnswer: 5440","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 129 is divided by (20\/50*38)\/(-3 + 235\/75)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2.024*-0.11\nAnswer: -0.22264","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 409*x + 110658 = 3*b + 405*x, b + x = 36893. What are the prime factors of b?\nAnswer: 2, 5, 7, 17, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, -1\/11, 17, -4, 2\/11 in descending order.\nAnswer: 17, 2\/11, -1\/11, -0.2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -6318.4 to the nearest 1000.\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 1659.1 to the nearest one hundred.\nAnswer: 1700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by -93569.\nAnswer: 2\/93569","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -32503, -64514, -96525, -128536, -160547, -192558?\nAnswer: -224569","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 197214.\nAnswer: 2, 3, 32869","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/29 - (-2398726)\/750926?\nAnswer: 34\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = q**3 + 4*q**2 - 5*q + 7. Let v be n(4). Suppose -139 = -4*l - 2*g + v, g = 4*l - 239. What is the units digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 10 = 242. Suppose -z + q = -29, -o = -0*z - 3*z + 2*q. Is 17 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 5*q**2 + 2*q - 1. Let s be g(1). What is the third derivative of -5*f**s + 0*f**2 + f**2 - 6*f**2 + f**2 wrt f?\nAnswer: -600*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 121\/10 and -76\/21999.\nAnswer: 219990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -2. Let n(k) = k + 2. What is -4*n(u) - 5*r(u)?\nAnswer: -4*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 499809265 to the power of 1\/6, to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -31920, -32014, -32102, -32184, -32260, -32330, -32394?\n\"Answer: 3*l**2 - 103*l - 31820","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = v - 4*v - 201. Let h = -467\/7 - v. Let g be -730 + 713 + (-242)\/(-14)*1. Which is the nearest to g? (a) h (b) 1\/4 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-190695)\/(-9)*(-18)\/(-10) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -2*c**2 - 27*c - 126. Calculate n(-10).\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) be the second derivative of -n**9\/15120 + n**5\/60 + n**4\/4 - 2*n. Let q(r) be the third derivative of s(r). Differentiate q(t) with respect to t.\nAnswer: -4*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 15, -7, 6 in descending order.\nAnswer: 15, 6, 2, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 49 minutes after 1:49 PM?\nAnswer: 2:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4.4673*27014.\nAnswer: 120679.6422","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 197*b + 587. Calculate h(-3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 35 = 6*l. Suppose n + 3*s = 0, -5*s - l = -3*n - 21. Is (2 + n)\/(5\/20) + 773 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = k + 8. Let l be r(-5). What is the third derivative of 121*h**2 - 3 - 183*h**l + 5 - 2 + 0 wrt h?\nAnswer: -1098","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-3 + 16\/15)*(-6)\/(-4) and 24.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1526 and 30716854.\nAnswer: 1526","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 93.4701ml?\nAnswer: 0.0934701","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -232*k + 200*k - 288 = 0 for k.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1613 + 2437. Suppose -286 - i = -5*c. Is c a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.01 in -0.1, -3.4, 0.05?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.08 and 0.0302.\nAnswer: 0.002416","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 658 is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = n**2 + 5*n + 4. Let v be s(-4). Let f(y) = -4 + v - 1 - 3*y. What is the remainder when f(-6) is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1438049 to the nearest integer?\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 5 = -4. Let u = j - 7. Let v = u - -7. Solve -5*g - v = 5*b + 2, b = 2*g + 5 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.09 in -1371, 1.7, -1, 6\/7?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-3 - -1)*(-17)\/(-544). Let z(s) be the first derivative of s**2\/2 + 2*s - 2. Let a be z(-3). Do a and h have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the first derivative of -n**2 - 70. Let z(q) = 64 + 2*q - 64 + 16*q. What is g(z(i))?\nAnswer: -36*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 287351 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 = 5*j - 5*w, j + 4*w = -0*w - 2 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 327 minutes before 7:06 PM?\nAnswer: 1:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 106435642 (base 7) to base 3.\nAnswer: 110022122000121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -15290, -30374, -45472, -60590, -75734, -90910?\n\"Answer: -f**3 - f**2 - 15074*f - 214","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (-2 + (sqrt(320) - (sqrt(320) + sqrt(320) + -1)) + 3)**2.\nAnswer: -32*sqrt(5) + 319","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 318*c - 15 = -5*n + 313*c, -n + c - 5 = 0 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (1 - 2)\/(8\/(-2)). Suppose -69 = -5*j + 3*t, 117*t - 24 = -j + 121*t. What is the nearest to 2\/3 in j, q, 4?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 36 = -4*a, -2*o + 9 = a - 3*o. Calculate the remainder when 105 is divided by a.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*k - 5*k + 30. Let i = k + 6. Let f be (-3)\/6*(-5 + -1). Which is greater: i or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -1492\/184947?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -743 = -9*u - 131. Calculate the highest common factor of u and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 34926?\nAnswer: 2, 3, 5821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -18 (base 12) in base 9?\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 6*g + 215. Let z be j(0). Round z to the nearest 100.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -k + 4. Let p be l(4). Let h = -5 - -7. Suppose 5*j = -h*y + 17, -4*j + 2*y + 16 = 3*y. Solve -4*v + j*i = -p*v + 24, v + i - 3 = 0 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 101045 or 3536552\/35?\nAnswer: 3536552\/35","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*r**4 + 22067*r**3 + 241806*r**2 - 263880*r = 0. What is r?\nAnswer: -21990\/7, -12, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 42*q + 13*q + 1 + 5*q.\nAnswer: 60*q + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) be the second derivative of -m**4\/12 + 639*m**3\/2 - 658*m**2 + 480*m + 1. Differentiate b(v) wrt v.\nAnswer: -2*v + 1917","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 3, z: 7, f: 6, j: 3}. Give prob of sequence fjz.\nAnswer: 7\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence allk when four letters picked without replacement from {l: 3, e: 3, t: 8, f: 2, k: 1, a: 1}?\nAnswer: 1\/12240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 2*w**2 - 6*w + 590. Give x(20).\nAnswer: 1270","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*p**3 + 138 - 59 - 79.\nAnswer: -10*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in six fifths of a millennium?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -85549, -85547, -85543, -85537, -85529, -85519?\nAnswer: -85507","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*a - 690908 + 253685. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.5 + -257.978964044.\nAnswer: -257.478964044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -1\/4 (b) 0.2 (c) -0.866 (d) 0.1 (e) 0.5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/3 + 5\/3. Let s = 71 - 72. Which is smaller: d or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 10*f**2 + 7*f - 13. Let y be ((-4)\/6)\/((22\/(-279))\/11). Let q = y - 100. Let v(s) = -3*s**2 - 2*s + 4. Give q*v(m) - 2*x(m).\nAnswer: m**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.93293 from -32.286.\nAnswer: -31.35307","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 28678 and 9542?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (7*10\/175)\/((-1)\/(-60)). Suppose 19*a = w*a + 185. Let f = a + 25. Is f > -12?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q**2\/5 - 755*q - 63886\/5 = 0 for q.\nAnswer: -3758, -17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-19 + 7 - 0) + 12.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 855 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 4*y - 412 = -1428, 2*f - 680 = 2*y. What is the highest common factor of 301 and f?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 257*s - 513*s + 254*s - 2 = 0 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -552*l + 572*l - 360 for l.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5 + -4. Let f be 4*u*4\/(-48). Suppose 2*y - f = 17. Solve 7*k + 3*b - y = 3*k, 5*k = 3*b + 26 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 68\/27566139 and 163\/42.\nAnswer: 385925946","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 259?\nAnswer: 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -4*c**2 + 13*c - 3. Let n(l) = 3*l**2 - 8*l + 2. Let k(s) = -5*m(s) - 7*n(s). Calculate k(-11).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -0.067, -2.1, -0.4?\nAnswer: -0.067","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 5*j - 7 = 0, -3*p = j - 2*j - 3. Suppose 0 = p*m - 2*k - 706, -4*m + 2*k + 1397 = k. Suppose -8*u + m = -1052. List the prime factors of u.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*l - 21 + 6*l - 48 - 16*l.\nAnswer: 2*l - 69","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-27*30\/1620)\/(2\/28).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1716 and 12355772?\nAnswer: 572","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17 = 5*m - 3*q, -1103*m = -1102*m - 8*q - 4 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = b**2 + b - 3. Let q(g) = 20*g**3 - 5*g**2 - 6*g + 14. Give -10*k(n) - 2*q(n).\nAnswer: -40*n**3 + 2*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/65 or 1?\nAnswer: -1\/65","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -3*d**2 - d + 3. Let g be (-7)\/2*-1*(-18)\/(-21). Determine u(g).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is a94b (base 13) in base 6?\nAnswer: 301014","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -175*k + 13. Let w(f) = 2*f**2 + 259*f - 14. Let l(c) = 2*w(c) + 3*y(c). Calculate l(5).\nAnswer: 76","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 87047*w. Let d(l) = l. What is b(d(a))?\nAnswer: 87047*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of s**3*v**4 + 262*s**3*v**3 - 5*s**3*v**2 + 6*v**2 wrt v.\nAnswer: 24*s**3*v + 1572*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h*(h*h\/h**(-2))\/h)\/h)**(-4\/7)*h**(-7)\/(h\/(h*h*h\/h**(2\/17)*h*h)) assuming h is positive.\nAnswer: h**(-643\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hqhhqhhhhhhh. What is prob of picking 4 h?\nAnswer: 14\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -123 + 24 = -9*w. Let h be -2 + w + (-25 - -28). Solve -10*r - h = 8 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 10141200?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 239281 to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*b - 7*b = 422. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -203 divided by -5\nAnswer: 203\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*c + 0*c + 737*c**3 - 349*c**3 - 384*c**3.\nAnswer: 4*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 152\/(-8) + -18 - 65\/(-5)?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -619*31.\nAnswer: -19189","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.03 or 1411\/3?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = 163 + 207. Does 30 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 19 - 10. Let u be ((-28)\/(-21))\/(4\/y). Suppose 15 = u*q, -5*n + 4*n + 1 = -q. Is 4 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -880 in 5, -0.3, -0.5, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(-12)*2 - 9520\/1344 - -6\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -3*a - 13. What is the smallest common multiple of 1 and u(-6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 35438*y + 37878*y - 71032*y to the form d*y + n and give d.\nAnswer: 2284","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 523 a factor of 17869341?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in eleven tenths of a gram?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in 4, -302.3, -2, -8?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = 5*z + w, -z + 4*z - 4*w + 9 = 0 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2 - (126\/147)\/((-2)\/3206)?\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 3\/10, 0, -1\/10, 2\/3, 1127?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 85725 a multiple of 127?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3 + sqrt(1300) + 1 - ((sqrt(260) + (sqrt(260) - -2*sqrt(260)))\/sqrt(5) - (-4 + -1 + sqrt(52))))*-1)**2.\nAnswer: -8*sqrt(13) + 209","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 2*u + 1. Let g be a(-14). Let z = g + 51. Let h = -211 - -247. Calculate the greatest common factor of z and h.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 472 by 1160.\nAnswer: 59\/145","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -11*c**2*w + 2861301*c**2 + 22157*c*w + 3*w wrt w?\nAnswer: -11*c**2 + 22157*c + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2, 1, -19.2?\nAnswer: -19.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 16*a**3 + 20*a**3 - a + 26*a**3 + 4 - 3*a**2 - 65*a**3 to the form s*a + k + u*a**2 + o*a**3 and give u.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 35667254 and 378.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 206480 and 8455.\nAnswer: 445","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -1167 times -21.2\nAnswer: 24740.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 10177816?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 105 - 93. Suppose -4 = 5*j - 6*j. Calculate the greatest common divisor of d and j.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 47216532 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 56*b**2 + 2*b + 44. Let u(r) = -19*r**2 - r - 15. Let p(z) = 3*h(z) + 8*u(z). Let g be (25\/(-10))\/(2\/4). Is p(g) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (25 + -1 + 11 - 9) + -11?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1113 and 776874?\nAnswer: 1113","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 12 and 21451718.\nAnswer: 128710308","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put together -5.02281243157 and 0.\nAnswer: -5.02281243157","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in thirteen eighths of a meter?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 5157*l. Let z(t) be the second derivative of t**3\/2 + 4*t + 87. Calculate z(v(x)).\nAnswer: 15471*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 723*y**5 + 0 - 2*y**2 + y**2 + 4*y**3 - 530*y**5 + 25 - 2 wrt y?\nAnswer: 11580*y**2 + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 6, l: 6}. What is prob of sequence hlh?\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ttt when three letters picked without replacement from {n: 2, t: 9}?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eeet when four letters picked without replacement from {t: 1, j: 7, e: 5}.\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a when two letters picked without replacement from aayayyy?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3b7b + -43b5?\nAnswer: -8374","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3\/423890 + -1059513073\/2543340. Let o = -421 - h. What is the common denominator of -33\/10 and o?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4\/12*12\/(-32). Sort -13, s, -5 in ascending order.\nAnswer: -13, -5, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-4)\/(-30)*(0 - (-549)\/6). Let t = w - 64\/5. Which is the nearest to 1\/5? (a) t (b) 0 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 156 minutes after 3:45 AM?\nAnswer: 6:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -63, 5, 1\/2, 3\/2, 2\/7 in increasing order.\nAnswer: -63, 2\/7, 1\/2, 3\/2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 36236141 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60*b - 62*b = 8. Let n be 4670\/50 + 3\/(30\/b). Let y be n\/(-57) - 0 - (6 - 7). Is y at least -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in one fifth of a kilogram?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -l**3 + 5*l + 2. Let n(w) = w**3 - w - 1. Suppose 12 = q + 4. Let a = 13 - q. Let x(f) = a*n(f) + y(f). What is the first derivative of x(h) wrt h?\nAnswer: 12*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 - 10 = -4*k. Calculate the greatest common factor of k and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -7 + 39. Let o = i + -32.000106. What is o rounded to five dps?\nAnswer: -0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 3\/40 of a millennium?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(117)*3 + (sqrt(13) - sqrt(65)\/(sqrt(15)\/sqrt(3))))**2 + -2*(sqrt(13) + ((2*sqrt(143))\/sqrt(11))**2).\nAnswer: -2*sqrt(13) + 949","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) be the first derivative of -m**8\/336 + 4*m**7\/315 - 7*m**6\/360 + m**5\/90 + 8*m**2 - 4. Let j(f) be the second derivative of y(f). Factor j(z).\nAnswer: -z**2*(z - 1)**2*(3*z - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m - 17 = -3*b, -b - 22 = -5*m + b for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-3\/7)\/j*j)\/j**(1\/2))\/((j\/((j\/(j*(j\/(j*j*((j*j**(-1\/11))\/j)\/j*j))\/j))\/j)*j*j)\/j**(-1\/3)) assuming j is positive.\nAnswer: j**(-1549\/462)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.44 - 0.09. Let v = m - -0.43. Round v to one decimal place.\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26331 = 1398*f - 3963 for f.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -74 - -75. Let o be ((-4)\/2 - -2)*1. Suppose o = -3*a - 9, -5*i + 5*a = -24 - f. Solve 0 = i*j + s + 2 - 7, -5*j + 8 = -2*s for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 715*q**3 + 5898*q**2 + 49971*q + 294 wrt q?\nAnswer: 4290*q + 11796","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 76279022 divided by 38139511.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 348, 278, 208, 138?\n\"Answer: -70*i + 418","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = j**2 + 4*j + 5. Suppose 4*b - 3 + 19 = 0. Let p be y(b). Suppose 0*h - 3*v = -3*h + 12, p*h - 3*v = 26. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1067)\/(-165) + (-21780)\/3300.\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 9945 and 5304?\nAnswer: 79560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(16\/7)*f**(-39))\/(f**(-32)\/f)**(-1\/33) assuming f is positive.\nAnswer: f**(-264\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 6.687 + -6.779118. Let k = a + 0.092. Round k to four dps.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.724 - 0.824. Let h be 1*(-20)\/(-3 - -7). Which is the nearest to x? (a) 0.08 (b) 0 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14125 a multiple of 125?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 176 and 4101952.\nAnswer: 45121472","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -q**3 + 5*q**2 - 5*q - 4. What is n(5)?\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 8*x = -96. List the prime factors of x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -39 - -41. Let o = -2921\/6 - -487. Let x = 6.9 + -0.9. Which is the smallest value? (a) x (b) i (c) 1 (d) o\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -789 - -1448. Suppose -k + 16 = 3*k, -3*i - 2*k = -o. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 23435\/(-56680) - 3\/(-78).\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -6 + 4 + 3 + 3\/(-1). What is the remainder when c\/(-8) + (-107)\/(-4) is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -11\/3 and 14\/879.\nAnswer: 879","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1936)\/24 - (-4 + 9). Let g = -86 - j. What is the nearest to -1 in -1\/4, g, 5?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 33077*g**2 - 1480547 wrt g.\nAnswer: 66154*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -101 + -1210000221011010?\nAnswer: -1210000221011111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 33193.\nAnswer: 19, 1747","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*((sqrt(19) - sqrt(76)\/(sqrt(12)\/sqrt(3))) + sqrt(38)\/sqrt(2) + 2)*-2)**2.\nAnswer: 256*sqrt(19) + 1472","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 484 is divided by 150\/(-1000) - (-3789)\/60?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 6*(-1 + (-4)\/(-8)) - -18. Suppose d*y + 6 = 17*y. What is the lowest common multiple of y and 5?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 95 + 133 = 3*l. Find the common denominator of -95\/4 and 8\/4*l\/(-30).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = f + 16. Let i be k(-12). Suppose 248 = -5*s - i*y, 193 = -4*s - 6*y + y. Let j = s + 570\/11. Is -1 at least j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -2*q - q. Suppose -c + 3*h = -4 - 11, -q*h = 12. Solve 2*r = -4*b + c, -4*r + 4*b - 2*b = -22 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 109*j**2*q**2 + 2*j**2 - 12*j*q**2 + 1863*j - q**2 - 4*q - 2 wrt q.\nAnswer: 218*j**2 - 24*j - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:35 PM and 1:09 AM?\nAnswer: 634","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 5*a**2 - 6*a**2 - 5*a**2 - 7*a - 11. Let j(k) = -2*k**2 - 2*k - 4. Let d(n) = 2*c(n) - 7*j(n). Differentiate d(u) with respect to u.\nAnswer: 4*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 103825 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.01, -25, 2, -0.2 in decreasing order.\nAnswer: 2, -0.01, -0.2, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - u = 23, 4*u + 4 = 4*a - 24. Calculate the highest common divisor of a and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 965369 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 352662947, 705325899, 1057988863, 1410651845, 1763314851, 2115977887, 2468640959?\n\"Answer: u**3 + 352662945*u + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 2*l**2 + 8*l - 34. Let t(g) = -44*g**2. Give v(t(d)).\nAnswer: 3872*d**4 - 352*d**2 - 34","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 5*h, 5*i + 3*h = -0*h + 27. Find the second derivative of 6*p**3 - 2*p**3 - 13*p - 10*p**i + 2*p**3 wrt p.\nAnswer: -24*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38*i + 552 - 1201 + 339 = 1476 for i.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 584 minutes before 9:59 AM?\nAnswer: 12:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that -3*t**5 + 14955*t**4 + 39964056*t**3 - 39979008*t**2 = 0.\nAnswer: -1928, 0, 1, 6912","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = 16 + 8. Suppose 2*o = -0*o - 2*b - i, 2*b + 32 = -4*o. Are o and -9 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 258 and 215.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that -j**4 - 24*j**3 = 0.\nAnswer: -24, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((7 - 4 - 1)*(0 + o + 0) - 3 + 2*o + 3 + 0*o - 2*o + o + o - o + 3*o)*(-2*o - 3*o + o).\nAnswer: -24*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*o**3\/2 - 39849*o**2\/2 - 519051*o = 0. Calculate o.\nAnswer: -26, 0, 13309","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 1. Let f(v) = -2. Let k(y) = 2*f(y) + 3*i(y). Let z(o) = 2*o - 2. Let x(n) = -4*k(n) + z(n). Calculate x(2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -17 + (6 - 8) + 15.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of (-7 + -3)\/(-2) - -1 and 2?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -42 + 46. Suppose -92 = -4*m - g. What is the first derivative of -22*h + m*h + 3 + 5*h**2 + 21 wrt h?\nAnswer: 10*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -1.79 and -95.1.\nAnswer: -96.89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-20)\/(-50))\/(7 - 3*(-4398)\/(-1890))?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 2 i when three letters picked without replacement from {i: 2, j: 1, g: 2, c: 2, s: 1}.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 142164?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18 divided by -972582.\nAnswer: 3\/162097","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-10 - (8 - 16)) + 5 + 84. What is the highest common divisor of 725 and t?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2*6\/25)\/((-18)\/(-60))?\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-138)\/207*3\/(-7).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 106*c**2 + 3*c + 2. List the prime factors of r(-1).\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -404*(5 - 138\/24). Let b = -17 + m. Does 22 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -y**3 + 8*y**2 - 2*y - 5. Let k be u(8). Let q = 35 + k. Let a(i) = 20*i - 6. Let r(t) = 7*t - 2. Give q*r(n) - 5*a(n).\nAnswer: -2*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -12400 by 124.\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 365 = 4*i, 0 = 5*i - 79 + 104. Does 7 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:16 PM and 4:35 AM?\nAnswer: 559","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2*73*1\/2. Let y be -58 - 18 - 5\/(4 - 5). Let r = f + y. Solve r*t = t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*s - 10*s - 25, -3*d + s + 14 = 0 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -226 - -82. Let x = j - -1010\/7. Which is the nearest to -0.1? (a) -2\/9 (b) x (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.1128 smaller than -1\/42?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 16520?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-180)\/(-10)*100\/450.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z - 9*z = -5 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 4, -5, -28, -71, -140, -241, -380, -563?\n\"Answer: -v**3 - v**2 + v + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yvvvvyvvvvvvyvvvvv. Give prob of picking 1 v and 3 y.\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, 6\/7, 3, 0.114357 in decreasing order.\nAnswer: 3, 6\/7, 0.4, 0.114357","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3664\/11 - 333. Solve -2\/11*l + 1\/11*l**3 + r*l**2 + 0 = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide (-18)\/(-7)*(-28)\/(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4646 is divided by 290.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = d**2 - 4*d - 6. Suppose -4*h + 20 = -0*h. Calculate i(h).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -10 - -7.6. Let u = j - 0.6. Let q be 1 + (-10)\/6 - -1. Which is the nearest to q? (a) -0.3 (b) u (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 120 and 3160?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hn when two letters picked without replacement from {s: 9, h: 3, e: 5, n: 2}?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((a**(-6)\/a)\/a*a)\/(a\/a**(-3\/5)))\/((a\/(a\/(a*a\/a**(-2\/21)*a*a*a*a)))\/a**7))**(-3\/7) assuming a is positive.\nAnswer: a**(808\/245)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 u and 1 l when four letters picked without replacement from {u: 4, g: 1, c: 5, v: 1, l: 1}?\nAnswer: 4\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -1391, -6435, -14843, -26615?\n\"Answer: -1682*h**2 + 2*h + 289","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*r**2 + 2*r**4 + 0*r**2 + (r**3 + 3*r**3 - 2*r**3)*(-2*r - r - r) + 0*r**4 + r**4 + 0*r**4 to the form g*r**2 + y*r**3 + k*r + j*r**4 + a and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -11*k**3*l - 8*k**2*l - 99*l with respect to k.\nAnswer: -33*k**2*l - 16*k*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*n - 4*n = 3*r - 317, 0 = -5*r + 5*n + 515. What is the units digit of r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -7350.2111 - -0.4.\nAnswer: -7349.8111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w - 25 = -5*f, -w + f + 27 = 32 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 2*i + 10. Let t(r) = -r. Let c(v) = 3*t(v) + u(v). Suppose -34 = -3*p + 11. Let f be c(p). What is the closest to 1 in 3, -3, f?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 0.1 (b) -2\/25 (c) 0.06\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-3)\/(-1) + 0 + 3. Let o be 9\/2 + 3\/y. Solve 0 = o*r - 2*w - 16, -w = w + 6 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3014 = 362*p - 3864 for p.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4 + 4 - 1614*h + 1614*h - 599*h**2 to j*h + u + f*h**2 and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -568*n. Let v(a) = -272*a + 78. Determine v(d(s)).\nAnswer: 154496*s + 78","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8260*z + 7973*z - 16233*z + 5*z**2.\nAnswer: 5*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 2*q + 29. Let t be h(-13). Put -5, t, 2 in descending order.\nAnswer: t, 2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r + 120 = -3*v + 113, 3*r - 2*v - 13 = 0 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 86383.\nAnswer: 11, 7853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x - 15 = 5*c, -86957*c - 22 = -86941*c + 3*x for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -2*s**3 + s**2 - 6*s + 12. Give f(2).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 85*s**3 + 137*s**3 + 47*s**3.\nAnswer: 269*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve z + 20 = 3*z, 8*o + 3*o = 15*o - z + 22 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 0 + 4*h**2 + 0*h**2 - 1058966*h.\nAnswer: 4*h**2 - 1058966*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -10*p**2 + 143*p + 1. Let m(f) = 2*f**2 - 4*f - 1. What is 6*m(x) + w(x)?\nAnswer: 2*x**2 + 119*x - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-b - b - 6*b)*(3 + 2*b**2 - 3 - b) + 5*b**3 - 5*b**3 + b**3.\nAnswer: -15*b**3 + 8*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 44 - 60. Calculate the remainder when 41 is divided by 1 - 0 - (1 + 1 + d).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5507*n**2 + 11079*n**2 - 5539*n**2.\nAnswer: 33*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 286 divided by -286\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*c - 48 = 18*c + 5*n, -n = 9 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/(-2)*53*(-78)\/(-6201).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 136 + 240 = -32*t - 183 - 465 for t.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -3682, -18695, -33708, -48721, -63734?\n\"Answer: -15013*a + 11331","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -9*p**2 - 9*p + 1. Let f(a) = 2*a**2 + 2*a. Let i(r) = -2*b(r) - 11*f(r). Suppose -6*m + 9 = -57. Let q(l) = -7*l**2 - 7*l - 4. Give m*i(u) - 6*q(u).\nAnswer: -2*u**2 - 2*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5165 - -30983\/6. What is the fourth smallest value in -1, -11, y, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-21)\/(-27)*8\/28.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/26 - 25\/(-520).\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -l - 3. Suppose -4*d + 2*g - 72 = -2*g, -2*g + 74 = -4*d. Let t = -24 - d. What is b(t)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = q**2 + 12*q + 22. Let h be d(-11). Determine v so that 34*v**2 - h*v**2 + v**3 - 12*v**2 - 14*v**2 + 2*v = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -163 - -230. Suppose f + x - 249 = 0. What is the units digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 583 minutes after 10:12 PM?\nAnswer: 7:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 3*n - 12. Let s = 19 - 15. Suppose -s*x + 5*x + 38 = 5*b, b - x = 6. Calculate the remainder when 93 is divided by r(b).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 29*t**2 - 30*t**2 - 2*t + 2*t. Let w(u) = 17*u**2. Calculate w(x(a)).\nAnswer: 17*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -13*q + 19. Let g(w) = -12*w + 18. Let d(u) = 3*g(u) - 2*y(u). Find the first derivative of d(v) wrt v.\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((b\/b**(-2\/25))\/(b**(-9)\/b))**(-15))**(-43\/2))**(2\/21) assuming b is positive.\nAnswer: b**(11911\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + (-204)\/(-20) - (6 + (-112)\/(-14))?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 104 and 7.\nAnswer: 728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 5*w = -479, n - 165 = w - 0*w. What is the remainder when 319 is divided by n?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/(w\/w**2)*w)**(-23)*w*w\/w**(-1\/14)*w\/(w**(-9\/5)*w) assuming w is positive.\nAnswer: w**(-4559\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) be the third derivative of -o**6\/120 - o**5\/10 - 5*o**3\/6 - o**2. Let x be n(-6). Sort -2, 2, x in descending order.\nAnswer: 2, -2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 33979.\nAnswer: 11, 3089","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r = 4*v - 8, -74*v + 72*v = -2*r + 8 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 890 + 326 = -4*q, 5*l - 6034 = -3*q. What is the units digit of l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -16987 - -16974.487. Let s = -0.193 - l. What is s rounded to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 9078 and 102.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-50)\/(-90))\/((10\/(-8))\/((-20)\/40)). Which is the closest to m? (a) -1\/3 (b) -0.1 (c) -1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*k + 4375 = 1333. What is the remainder when k is divided by 19?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = s**2 - 10*s + 27. Let l be y(6). Let t = 3 - l. Let r(p) = t*p + 6 - 2*p + 3*p. What is r(-7)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r - 360 = -85*r, 2*b + 17 + 8 = 3*r - 9 for b.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11011110111001 (base 2) to base 3.\nAnswer: -201120100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*s**3 - 4*s**3 + 10*s**3 - 4*s**3.\nAnswer: -2*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.158 + 4.218. Round i to the nearest integer.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4092 and 51766?\nAnswer: 9628476","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9\/((-108)\/16)*(-108)\/396?\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 403*2*9\/18. Calculate the highest common factor of 13 and r.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 90 a factor of 5067710?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:21 PM and 2:17 AM?\nAnswer: 296","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v = -0*y + 5*y - 20, v + 12 = 5*y for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 18\/8 + (-3 - 63\/(-28)). Let f = -5.5 + 4.5. Sort s, f, 0.2 in decreasing order.\nAnswer: s, 0.2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1 - -102200032?\nAnswer: 102200033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) be the second derivative of -h**5\/20 + h**4\/12 + h**3\/6 + h**2\/2 - 14*h. What is q(0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 849 + -4243\/5. Which is the nearest to 0? (a) 4\/3 (b) f (c) -4 (d) -8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 108486124 to the power of 1\/3, to the nearest integer?\nAnswer: 477","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-5 - 1)\/((-79)\/1106). What is the highest common divisor of n and 420?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1874675 and 341.\nAnswer: 58114925","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -b**3 - 6*b**2 + 2*b - 124. Determine f(-8).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*s + s - s)*(2*s**3 + s**3 - 2*s**3 + (2*s + 1 - 1)*(s**2 - 3*s**2 + 3*s**2) + 2*s**3 + 5*s**3 - 3*s**3) + (-2 + 7*s + 2)*(-2*s**3 - 2 + 2).\nAnswer: -35*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 71576883731 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -22, -26, -20, 2, 46, 118?\n\"Answer: o**3 - o**2 - 8*o - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -3604763.8 rounded to the nearest one hundred thousand?\nAnswer: -3600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 18*y. Let v(x) = 924*x + 64. Calculate v(h(m)).\nAnswer: 16632*m + 64","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 180*q - 715*q + 46*q + 123*q + 123*q + 121*q + 122*q - 3*q**3.\nAnswer: -3*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*x - 24*x - 40 = -5*z, z = -2*x + 8. What is the hundreds digit of (z\/6)\/((-11)\/(-2112)) - 1?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 - (13 + -17 + 12)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 7*t - 130. Let d(q) = -3*q + 65. Let s(n) = 2*c(n) + 5*d(n). Suppose -2*k - 2*k = 0. Let g be s(k). Calculate the highest common factor of g and 26.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 160471 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 9296197 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 18210 rounded to the nearest 1000?\nAnswer: 18000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 51 and 15.\nAnswer: 255","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 246 minutes after 3:28 AM?\nAnswer: 7:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 50288648.\nAnswer: 2, 6286081","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 78 and 131118?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 22 and 13904.\nAnswer: 13904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8727941, -8727908, -8727861, -8727794, -8727701?\nAnswer: -8727576","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 6*b**2*r*t + b**2*r + 6*b**2*t + 3*b**2 + 80*b*r*t + 5*t wrt r?\nAnswer: 6*b**2*t + b**2 + 80*b*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 4, -2, -5, 94 in descending order.\nAnswer: 94, 4, -2, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 9*u + 18. Let r be h(-2). What is the closest to r in 1\/5, 0.1, -0.4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2033915 to the nearest integer?\nAnswer: 127","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 11772 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 8*x - 1. Suppose 0 = -2*t - 0 + 4. Does 15 divide w(t)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 45*x - 12. Let h be s(0). Let j be (-3)\/((-45)\/h) - 147\/210. Which is the nearest to -1\/7? (a) -5 (b) 0 (c) 4\/7 (d) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 5*y + 6 = 0. Let g(z) be the first derivative of y + 1\/16*z**4 + 1\/10*z**5 + 1\/24*z**6 + 0*z**2 + 0*z + 0*z**3. Factor g(a).\nAnswer: a**3*(a + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = -3*g + 24, -4*i + 5*i = 3*g - 12. Suppose 67 - 212 = -g*m. Calculate the remainder when m is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 405 and 2985?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, -2, 7808, -3 in decreasing order.\nAnswer: 7808, -2, -3, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 - -17412 - (-13 - 65\/(-5)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(5*(sqrt(128) + 1 - sqrt(128)) - (sqrt(128)*1 + -3 - sqrt(128))))**2*6.\nAnswer: 13824","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 255943613 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25501120 is divided by 503?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22 divided by 4.\nAnswer: 11\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1.09 (b) 1 (c) 2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7)\/(-9) + 14\/63.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-230 + 24*g**2 + 230)*(-2 - 22 + 12)*(-3*g + 2*g + 4*g).\nAnswer: -864*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 31 + (126 - 115 - (24 - (2 - 2)))?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7 - ((-10)\/6)\/(125\/(-225)) - -11697.\nAnswer: 11701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -g**3 + g**2 + 1. Let r(w) be the first derivative of -3*w - 28\/3*w**3 + 2*w**4 - 19 + 10*w**2. Let u(f) = -3*d(f) - r(f). Factor u(n).\nAnswer: -5*n*(n - 4)*(n - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 + (-354)\/45 - -3\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.628905 to three dps.\nAnswer: 2.629","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*t**3 + 9725*t**2 - 25916*t + 12956.\nAnswer: -(t - 3239)*(t - 2)*(3*t - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = b**3 + 6*b**2 + b - 4. Let d be v(-6). Let f be 2\/(-4) - 5\/d. Suppose 5*g - 1 = 19. Which is smaller: f or g?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 129 - 128.2. What is the third biggest value in -5, x, 3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*p**3\/5 - 68*p**2\/5 + 196*p\/5 + 3332\/5 = 0. What is p?\nAnswer: -17, -7, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1143783714 a multiple of 489?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 + 2 - 6)*(-x - x**2 + x) - x**2 - 254*x - 18 + 254*x to y*x + p + o*x**2 and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1776 and 48.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) be the first derivative of -27*h**2\/2 - 68. Let n(u) = 2*u. What is p(n(i))?\nAnswer: -54*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 317196 and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/765 at most 0.5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -p**3 - 6*p**2 - p + 7. Let r be g(-6). Suppose 2*o = 2*j + 3*j, 0 = -3*o + j + r. Solve v = 2*t - 6*t - 1, -5*t = -o*v - 30 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1 - 1) + (4\/(-60) - 488\/(-120))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -352976 - -4585110\/13. Let b = -275 - y. Let d = 5 - 8. What is the second biggest value in d, b, 4\/3?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 31400 + -23138. Is h a multiple of 51?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 34712236*c**4 + 1229806*c + 5 wrt c.\nAnswer: 416546832*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3459.127nm in micrometers?\nAnswer: 3.459127","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4319)\/(-714) - 4 - (80\/1020)\/((-2)\/3).\nAnswer: 13\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(-7)*3\/48*7.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 17854, 142866, 482176, 1142932, 2232282, 3857374, 6125356?\n\"Answer: 17858*f**3 + f**2 + 3*f - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*s**2 - 7791*s + 7788.\nAnswer: 3*(s - 2596)*(s - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 12419 - 12399. Suppose 5*o + 9 = -1. Let f = 2 + o. Solve f = -3*m + 7*m + h for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1334125523 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 5 = -2*v. Suppose -416 - 39 = 3*b + y, -2*y = -5*b - 740. Let u = -149 - b. What is the greatest common factor of v and u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -23 and -13\/14437.\nAnswer: 14437","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.04170585135 rounded to five dps?\nAnswer: 0.04171","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 20892210*l**2 + 56348842.\nAnswer: 41784420*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 39 = 7*s - 3*s, -5*n = -s - 34. Let i = n + -8. Let r = 389\/7287 - 2\/347. Which is bigger: r or i?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a*a\/(a*a\/a**(-2\/7)))\/a)**(12\/5))**(8\/11)\/((a**3\/((a**4\/a)\/a))\/((a\/a**(3\/2))\/a*a**(4\/5))) assuming a is positive.\nAnswer: a**(-3037\/770)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 168\/(-60)*(-50)\/(-105) + 151\/3. Let i be 42\/8*((-156)\/(-9) + 4). What is the greatest common factor of i and o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/(j\/(j\/(j**(-1)\/j))))**7*(j**(-2\/11)\/j)\/(j\/j**(1\/5)) assuming j is positive.\nAnswer: j**(1046\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:31 PM and 4:44 PM?\nAnswer: 253","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = -0*t - 4. Let v(p) = -424*p**3 - 2*p**2 - 2*p - 1. Let x be v(t). Is (-2)\/(-5) + x\/5 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + sqrt(931) + 0 - ((sqrt(931)*-2 - sqrt(931)) + -3).\nAnswer: -1 + 28*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 6\/(-10)*(780\/728)\/(2*(-63)\/343)\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12022022010 - 10?\nAnswer: 12022022000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 11*o**2\/5 - 534*o\/5 + 288\/5.\nAnswer: (o - 48)*(11*o - 6)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -119 - 550*h**2 - 127 - 1199*h**2 + 747*h**2 + 246.\nAnswer: -1002*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) be the second derivative of 0 + 1\/20*s**5 + 34*s - 1\/6*s**4 - 3\/2*s**2 + 1\/2*s**3. Let p be z(2). Solve -o + p = 1 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -84*a + 53589 = -78931 - 73364. Does 16 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/13, 1, 1\/4, 1059\/16 in decreasing order.\nAnswer: 1059\/16, 1, 1\/4, 1\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5673 - 3934. Does 17 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 5*i + 8. Suppose 0 = -3*g - 5*n + 10, -g + 15 = -6*g - 2*n. Let p = 9 - 6. Let b(q) = 2 + 0 + p + 3*q. Calculate g*c(u) + 8*b(u).\nAnswer: -u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b and 2 f when four letters picked without replacement from {f: 4, n: 1, y: 1, s: 1, b: 2, u: 3}?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 25997233 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 2921 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 5, g: 2, f: 4}. What is prob of picking 1 f, 1 a, and 1 g?\nAnswer: 8\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -14 less than or equal to -61\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 15855*r + 95163. What is g(-6)?\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -725, -3116, -7099, -12674, -19841, -28600, -38951?\n\"Answer: -796*z**2 - 3*z + 74","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2738107354?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from omofooomoommooooommm. Give prob of picking 1 f and 1 m.\nAnswer: 7\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (13\/104)\/((1\/4)\/(-1))?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -13, -5, -11, 3, 1 in increasing order.\nAnswer: -13, -11, -5, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.0328 - -0.2672. What is the second smallest value in w, 3\/61, 4, -3?\nAnswer: 3\/61","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) be the third derivative of l**6\/20 - l**4\/12 + 5*l**3\/6 - 6*l**2 + 2. Let m(c) = 5*c**3 - 2*c + 4. Determine -4*m(j) + 3*o(j).\nAnswer: -2*j**3 + 2*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 520 = k + 3*q, 4*k - 1773 = 2*q + 265. Suppose i + 170 = 4*z + k, 3*i - 1006 = -5*z. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 259676 - 0.1?\nAnswer: 259675.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12 + 33 + 16)*(-1 + 5 - 6)*(-5 - 2*i - 7*i + 3).\nAnswer: 666*i + 148","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/f**0)\/f**(-1\/8))\/(f**0\/(f*f\/f**(-1))) assuming f is positive.\nAnswer: f**(33\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -67\/72 and -131\/2152612.\nAnswer: 38747016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3739196 and 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a litre in millilitres?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 47\/236 and (20 - 11557\/780) + -7?\nAnswer: 3540","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 3 and -137253?\nAnswer: 137256","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in twenty-five quarters of a second?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3901043.\nAnswer: 3901043","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 8\/10*60\/8. Find the third derivative of 3*d**2 - 1 + 0*d**2 + 1 + p*d**4 wrt d.\nAnswer: 144*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -3 - 2 - 1316665*i + 2 - 7. Suppose 6*j + 6 = 7*j. Let v be y(j). What is v rounded to the nearest one million?\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen quarters of a litre in millilitres?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 4*p - 2 + 2*p**3 - 15*p**2 + 3 + 6*p**2 + 5*p**2. Let g(u) = -u**2 + u + 1. Calculate 4*g(k) - i(k).\nAnswer: -2*k**3 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 707057?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 2*b**2 + 3*b - 2. Let m(r) = 28*r + 2. Let h(w) = 17*w + 1. Let y(t) = 5*h(t) - 3*m(t). What is s(x) - 6*y(x)?\nAnswer: 2*x**2 - 3*x + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 378 is divided by 48.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 90*i + 130. Let a(z) = 29*z + 44. Let y(m) = 11*a(m) - 4*p(m). Let f be y(-1). Solve -f*x = 110 - 105 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 88*a - 129*a - 38*a - 326*a + (-a - 3*a + 2*a)*(-3 + 1 + 0) + 3*a - 3*a + a.\nAnswer: -400*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 908 = -0*w + 5*r, 0 = 4*w + 4*r - 1208. Do w and 4 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 + t**3 - 1 + 2 - 2 - t**3 + (18*t**3 - 11*t**3 - 6*t**3)*(-3 - 4 + 0) - 13 + 14*t**3 + 13.\nAnswer: 7*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:45 AM and 8:48 AM?\nAnswer: 303","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*a - 4*a - 5*a + (0 + 16 + 7 + 6 + 52)*(173 - 173 + 29*a).\nAnswer: 2344*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 - 8\/11*b + 2\/11*b**2.\nAnswer: 2*b*(b - 4)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q + 2*g + 2*g = -108, -g = -27661 + 27666 for q.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1 - -2. Let w(d) = d**3 - 5*d**2 - 2*d - 25. Let z be w(6). Suppose 2*v + 5*r - 19 = 0, -10*v - 2*r + 10 = -8*v. Sort z, f, -2, v in decreasing order.\nAnswer: v, f, z, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-8 - -2) + (-8 - 165). Let h = p + 238. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1*(0\/3 + 1). Let c be (-6 + 4)\/(l\/(-2)). Let m = 6 - c. Solve 4*a = -0*a + 20, -4*n = m*a - 30 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uu when two letters picked without replacement from {u: 7, t: 1}?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -6*p + 17. Let b(d) = 17*d - 50. Let a(g) = 4*b(g) + 11*k(g). Let y be a(7). Is 16 a factor of y\/1 - (-13 + -34)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2349 divide 37457154?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -0.17 (b) -43 (c) -0.5 (d) 2\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4 - -15) + (1 - -2) + -4.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((-20)\/3)\/(5 + ((-96)\/(-27) - 9))\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 3 = -2. Let i = -0.015 - -0.415. What is the second smallest value in i, m, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -603427 divided by 70.\nAnswer: -603427\/70","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -498 - -3975\/8. Let g be 8637\/(-6) + 2\/6. Let l = g + 1433. Calculate the common denominator of k and l.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:39 PM and 11:12 AM?\nAnswer: 693","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -22221010 + 102202?\nAnswer: -22111101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) be the second derivative of g**4\/24 - 5*g**3\/3 - 7*g**2 + 14*g. Let m(y) be the first derivative of a(y). Let l be m(13). Solve -2*u + l = u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 78*k**2 - 12*k**6 + 43*k**2 + 60*k**3 + 6*k**6 - 20*k**3 wrt k?\nAnswer: -720*k**3 + 240","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 77.1 - 78. Round h to one decimal place.\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 7 and 0.4 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32204*d**2 - 16649*d**2 - 16429*d**2.\nAnswer: -874*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 5033 - -1352?\nAnswer: 10425","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 704223?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 225526 and 357294?\nAnswer: 2534","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 34*w + 63 - 86*w + 28*w + 26*w.\nAnswer: 2*w + 63","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((sqrt(330)*-2*-6 + sqrt(330))\/sqrt(10))\/(sqrt(216)\/(sqrt(16)\/sqrt(2) + sqrt(8))).\nAnswer: 104*sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 10 = -c, 6*q + 15 = 3*q. Let f be 8\/(-6)*(-3)\/1. Suppose -2*n - j + 1 = 0, -n + 3*n + 2*j + 2 = 0. Solve c = m - n*m - f for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 4*c = 18, 0*v - 2*c = 5*v - 5. Let m be 3 + (-2 - (v - -17)). What is the units digit of 3\/5 + (-171)\/m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 11518?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -33*l. Calculate the remainder when x(-5) is divided by 17 + (-36)\/126 + 232\/28.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (1374\/70)\/((-60834)\/(-5535)). Let m = o - 2\/10139. Let q = 4414\/93 - -7\/186. Find the common denominator of q and m.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/l**(4\/23)*l*l*l)\/l**(-17))\/(l**7\/l**(6\/5)) assuming l is positive.\nAnswer: l**(1728\/115)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 459375 to the power of 1\/7, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -28 (base 15) to base 7.\nAnswer: -53","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 447395207?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 38959456?\nAnswer: 2, 1217483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by -226308.\nAnswer: 1\/226308","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 - (-10 - (11 - 25))?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27 - 2\/(4\/8*-4) is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1 + 1. Let s = -1.47 + -5.53. What is the nearest to -1 in s, o, -4?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1 - 21122121?\nAnswer: -21122120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 2*o + 1196 = 0, -255 + 639 = z - 3*o. Suppose 4*f - 396 = -b, 4*b = -4*f - 0*b + z. What is the greatest common divisor of 22 and f?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 44\/(-55)*1*2\/(-2)?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -98458 divided by -10.\nAnswer: 49229\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -12.1 + 26. Let o = 3332 - 3320.1. Let a = o - d. What is the closest to -1\/12 in 5, 0, a?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11020210 (base 3) to base 12.\nAnswer: -1963","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 10*y - 20. Let l be o(2). Solve -q + 1 + 4 = l for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-16 - -1) + -108 + 140\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 3, e: 3, l: 8, p: 3}. What is prob of sequence pl?\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/25)\/(66\/(-165))?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -3, -0.14, -23, 0.1?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 192 and 1224.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -2*m**2 + 8*m**2 - 5*m**2. Let j = -8 + 10. Let k(r) = -j*r + 0*r + r. Determine w(k(u)).\nAnswer: u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 3*c**3 - 6*c + 6. Let f(b) = 4*b**3 + 5 - 5*b - 9756*b**2 + 9756*b**2. Give 5*d(z) - 6*f(z).\nAnswer: -9*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -14940*h - 1508936. Calculate r(-101).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18420285?\nAnswer: 3, 5, 13, 94463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 11189567 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 379592 to the power of 1\/2, to the nearest integer?\nAnswer: 616","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (4*((sqrt(90) + sqrt(90)*-2)\/sqrt(3))\/(sqrt(6) + (sqrt(6) - sqrt(96)*-6)))**2.\nAnswer: 696\/169","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in twenty-seven quarters of a second?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1879982.\nAnswer: 2, 13, 72307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 12219366*s**5 - 4150967*s**2 wrt s?\nAnswer: 733161960*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 2*h - 1. Suppose 4*a = -16, 5*u + 4*a + 28 + 28 = 0. Let b(v) = 34*v - 6. Let w(d) = 11*d - 2. Let i(s) = -5*b(s) + 16*w(s). What is u*p(t) + 3*i(t)?\nAnswer: 2*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o\/o**(-1\/5))\/(o**(-1\/3)*o))**(-1\/3) assuming o is positive.\nAnswer: o**(-23\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/39 in -0.04, 15, 8\/5, -1\/5?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -s**3 - s**2 + s. Let o(a) = -14*a**3 - 16*a**2 + 10*a. Let k(m) = o(m) - 12*r(m). Factor k(g).\nAnswer: -2*g*(g + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = u**3 - u + 1. Let h(t) = -3*t**3 + 7*t**2 + 10*t - 6. Let n(w) = -h(w) - 4*v(w). Let c be n(-6). Determine q so that 0 - c*q**2 - 5 + 4*q + 3 = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -22 - -22. Let i be 12 + -11 + g + (-1)\/(-1). Let a be i\/11 - (-20)\/11. Solve -9 = -x - a*h, 8 = 2*x - 4*h + 3*h for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 127873537?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -660 divided by -6.\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/21, -2\/505, 4 in increasing order.\nAnswer: -2\/505, 2\/21, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.8 equal to -86815?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 169483\/3 + -56494. Let h = 1.9 + -2. What is the nearest to b in 2, 1\/3, h?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*(j*j**(-26))\/j*j*j\/(j**(1\/26)*j)*j*(j\/(j\/((j\/(j\/(j*j**22)))\/j)))**10)**(1\/15) assuming j is positive.\nAnswer: j**(1707\/130)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-16*52\/4992)\/(1\/(-5)).\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oororrrroo. What is prob of picking 2 o and 1 r?\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6246928?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*-2*(((-1 + sqrt(2736) - sqrt(2736) - sqrt(2736) - sqrt(2736)) + -3 - sqrt(2736))*-2 + (sqrt(2736) - (-5 + sqrt(2736) + sqrt(2736)*1))*3)**2 + -1.\nAnswer: 16560*sqrt(19) + 251529","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 297?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) be the first derivative of -h**3\/3 - 2*h**2 - 5*h + 8. Suppose -5*f - 2*k = 26, 3 = -k - 0. Determine n(f).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + -4 + 4 + 1.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -11 + 8. Let k = t - -5. Suppose r = k*r. Solve r = 5*h + 4*j + 11, 3*j = 7*j + 16 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 32206 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 32304533 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -34 + 34. Suppose s = -t - 5*r + r - 12, -3*t + r = -3. Solve t*x - 3*x - 15 = 0 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (56\/(-1))\/(13\/(-156)*42)\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2, -4\/7, -5\/2, -1\/2?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 644065132?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 49*r**2 + 2*r + 1. Let f be h(-1). Let o = 58 - f. Suppose -3*v - 2*v - o = 0. Let l(y) = 2*y**2 - 2*y - 1. What is l(v)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) be the second derivative of -u**4\/4 + u**3\/6 + 51*u**2\/2 + 30*u. Let q be p(0). What is the greatest common factor of q and 51?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 131*o + 1840. Determine m(-14).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-3\/20)*t)**47 assuming t is positive.\nAnswer: t**(799\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -20 + 8 + 3 + 7?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hddd when four letters picked without replacement from uhddduuuhu?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 13705, 13708, 13713, 13720, 13729, 13740?\nAnswer: 13753","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 20\/(-2) + -146881*(-29)\/203?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -147, -131, -107, -81, -59, -47, -51?\nAnswer: -77","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 1\/5772?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2, 0.1, -0.1, -21, 0.09, 12\/13?\nAnswer: 12\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -187\/16440 and -19\/410.\nAnswer: 674040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 56*l**2 - 3*l. Let c = -39 + 41. Let k be u(c). Let g = -130 + k. What is the remainder when g is divided by 24?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1604 - 1633) + 40 + 3.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -v**3 - 6*v**2 - 21*v - 36. Is 20 a factor of x(-7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*u**3 + 148*u**2 + 290*u + 144.\nAnswer: 2*(u + 1)**2*(u + 72)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -1\/2 (b) -115 (c) -12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2656 and 392928?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -13*i**2\/4 + 7*i - 1.\nAnswer: -(i - 2)*(13*i - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = 2*w + h, -4*h + 3 = -h for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -47\/80 and -101\/3529280?\nAnswer: 3529280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*z**2 + 11136*z + 11140.\nAnswer: -4*(z - 2785)*(z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 147542?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -3, -2\/7, -0.5, 11.6, 0.8?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 5*c**3 - 64*c**2 - 37*c + 322. Determine q(13).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = v - 43. Let a(y) = 3*y - 128. Let d(l) = -6*a(l) + 17*n(l). Let u be d(9). Suppose 27*t + 188 = u*t. What is the tens digit of t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g when two letters picked without replacement from {q: 1, g: 2, v: 2, j: 1, x: 2}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -2*f**2 + 24. Let j(g) = -4*g**2. What is n(j(o))?\nAnswer: -32*o**4 + 24","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2*1\/10 + 1090\/8175.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 92 - 536 = -148*o. What is the highest common factor of o and 8883?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eess when four letters picked without replacement from {s: 6, e: 10, y: 4}.\nAnswer: 15\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1261315932?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -19*v - 6. Let w be b(-4). Suppose -87*q + 144 = -83*q. Find the third derivative of q*o - 21*o**2 + 34*o + 9*o**3 - w*o wrt o.\nAnswer: 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that z**2\/4 - 127365*z - 254731 = 0.\nAnswer: -2, 509462","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 34 is divided by 17?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 125485495 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4*-2*(-8088000)\/(-48). What is s rounded to the nearest one million?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -100*c + 75*c = 125 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.4, -4, -3\/7, -1, -0.7?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rfofoowoeoofow. Give prob of sequence or.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -b + b + 6268600 - 5*b**2 + b - 6268600 - b.\nAnswer: -5*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/((9\/15)\/((-27)\/(-225))).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -k**2 - 31*k + 103. What is g(-36)?\nAnswer: -77","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 158990 is divided by 729.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (15831 - (1 + 0))\/(15*(-20)\/(-450)).\nAnswer: 3, 5, 1583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 130*n - 3 = 127*n. Let g(r) be the first derivative of -n + 2\/15*r**3 + 3\/10*r**2 + 1\/30*r**6 + 0*r**5 - 2\/5*r - 1\/5*r**4. Solve g(b) = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-4 + 2)*(((-98)\/(-8) - -1) + 2961\/(-1692))\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 48, 9, -100, -315, -672, -1207, -1956, -2955?\n\"Answer: -6*l**3 + l**2 + 53","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 813929.\nAnswer: 331, 2459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + -11826676.986?\nAnswer: -11826677.986","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0626 minus -0.055?\nAnswer: 0.1176","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -45*h**5 + 4*h**4 - 119524*h**2.\nAnswer: -2700*h**2 + 96*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4 + 2. Let t = -4966 - -4965. Sort -4, t, i, 0 in ascending order.\nAnswer: -4, i, t, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 12 and 179790?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.5597 + -83.2997. What is v rounded to the nearest ten?\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6481*n**2 + 1042*n - 3 wrt n?\nAnswer: 12962","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in twenty-one halves of a year?\nAnswer: 126","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*q**2 - 6*q**2 - 14*q**2)*(11*q**2 - 1 - 2 - 1928*q + 1930*q).\nAnswer: -132*q**4 - 24*q**3 + 36*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 37910*v - 303292. What is i(8)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -451, -3797, -10043, -19189, -31235?\nAnswer: -46181","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2 - 3. Suppose 0 = 5*t - l - 11, 4*t + 5*l - 22 = 10. Let m be (-4)\/10*t\/(-6). Which is the second biggest value? (a) y (b) 1 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.55288 rounded to 3 dps?\nAnswer: 0.553","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2\/(-5) + (-23574)\/5740. Let a = -2\/287 - b. Let n = 3.44 - 0.44. Put n, -1\/6, a in ascending order.\nAnswer: -1\/6, n, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/9*(-3)\/(-5).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -5325\/22 < 185\/6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 2 = 97. What is the remainder when 55 is divided by c?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 2*z = 11, 12 = 3*z - 0*z. Let t be (3 + k + -2)\/(-2). Solve 3*f + t*f = 0 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -131*q + 127*q - 20*x - 136 = 0, -50 = 3*q + 2*x for q.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x = -x + 12 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 1883985, 1883947, 1883909?\n\"Answer: -38*d + 1884023","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -6*b - 47. Let k be s(-17). Suppose 0 = -57*c + k*c + 6. Solve -5*m + 0 = -5*r - 15, 0 = c*r + m + 1 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 35 = -o + 6*o, -2*o = -10. Suppose -g*k - 52 = -72. What is the smallest value in 1, -11, -5, k?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -10235, -20469, -30697, -40913, -51111, -61285, -71429?\nAnswer: -81537","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 80 is divided by 72\/(-63) + 1060\/70 - -47?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tpuzcpzxztuuupucxu. What is prob of picking 2 x?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b and 2 o when four letters picked without replacement from bbbrocbcbobo?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 70, -1, -0.29, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 256181737 and 25172.\nAnswer: 6293","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -7\/1086 and -13\/140.\nAnswer: 76020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2360*b + 5951*b + 7452*b + 1632*b.\nAnswer: 12675*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = b**2 - 3*b - 7. Let z be x(6). Let g(d) = 66*d - 6. Let q be g(z). Suppose 0 = -4*v - 0*v + q. Round v to the nearest ten.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 28.6 - 29. What is the closest to -2\/3 in -0.3, -2, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 906 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -54*b + 2284 - 394. Let n be ((-5)\/3)\/((-4)\/12). Let m = n - -9. What is the highest common divisor of m and b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -2*r**3 - 20*r**2 - r - 16. What is d(-10)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1 - -1. Suppose -6 = -3*p + j, 4*j = -g*j. Calculate the common denominator of p\/((-5)\/((-885)\/108)) and -99\/4.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1842013 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -134.9360537 minus -52?\nAnswer: -82.9360537","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -20.926 - -31.517. What is u rounded to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 819 - 1630 + 811 - 2*m.\nAnswer: -2*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2 - -1)*(-2)\/2. Is w less than or equal to -2\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) be the first derivative of -2*b**7\/7 + 5327*b**5\/5 + 1446*b**3 + 13158. What is the third derivative of d(v) wrt v?\nAnswer: -240*v**3 + 127848*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -5 - -1267b167?\nAnswer: 1267b162","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/2, 3, 5, -2\/3, 1 in ascending order.\nAnswer: -2\/3, -1\/2, 1, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(5 + sqrt(68)\/sqrt(4))*6 + (-3*(sqrt(68)*-2 + sqrt(68)))\/(sqrt(12)\/sqrt(48) + sqrt(4)))**2 + 2.\nAnswer: 1152*sqrt(17) + 129218\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -3 + (-6)\/33*(1 - 0)*-11. Suppose 2*d + d + 36 = 0. Let u be d\/(-4) + 0 + w + 32. Solve -5*a - 4*f - 8 = 0, -4*a - u = -4*f - 6 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 78 and 13.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k when two letters picked without replacement from {k: 7, a: 1, d: 1}.\nAnswer: 7\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 503*y + 750. List the prime factors of p(6).\nAnswer: 2, 3, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -518, 0, 4, -1.\nAnswer: -518, -1, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 102 divided by 171?\nAnswer: 34\/57","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (6\/10)\/((-5598)\/(-1555))\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from witsttttt. What is prob of sequence wts?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:49 PM and 12:39 AM?\nAnswer: 110","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.05 (b) 20\/573 (c) -1 (d) -2\/7 (e) 0.13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4873914?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*l + 4*w + 14 = 0, 5*w - 4 = -361*l + 357*l - 33 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8, 0, 36, 118, 264, 492?\nAnswer: 820","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in five quarters of a gram?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -11*t**2 + t. Let r be u(-1). Let g = -7 - r. Let c(h) = 0*h - g*h - h. Let l(n) = -n. Calculate c(l(i)).\nAnswer: 6*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1950 and 26?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (-148)\/(-111)*9\/(-2)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -177*f**2 + 709*f. Let b be y(4). Solve 5 = 5*h + d, 10 = -4*h - b*d + 6*d for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 62*l + 99. Let g be j(13). Let z = g - 28051\/31. Is 0 >= z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.99 + 1. Is n >= -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -529, -1057, -1585, -2113, -2641?\n\"Answer: -528*t - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -22102, -22078, -22028, -21946, -21826?\nAnswer: -21662","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 628 minutes before 3:03 PM?\nAnswer: 4:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -30*f**2 + 252*f**3 - 111*f + 64*f**2 - 2 - 43*f**3 - 34*f**2 wrt f?\nAnswer: 1254*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 395 + -390. Suppose q*k + 5*s - 90 = 0, 0*s = -5*k - 2*s + 81. What is the greatest common divisor of k and 75?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iy when two letters picked without replacement from qaqqaqaiaaiyiiqiqq?\nAnswer: 5\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 225 - 3?\nAnswer: 222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 2*k**2 - 5*k. Let o(p) = -2*p**2 + 4*p. Let u(s) = s - 3. Let v be u(7). Let i be v - (0\/(1 - 4) - -1). What is i*c(a) + 4*o(a)?\nAnswer: -2*a**2 + a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = -0*p + p + 21, 0 = 4*p + 5*t + 136. Let k = p + 32. Let z be (6\/(-12) + -2)*(-12)\/15. Sort k, z, 4, 8.\nAnswer: z, k, 4, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = -p - b, -12*p + 10*p = 5*b + 15 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 9\/(-3) + (-38)\/(-14). Which is the third smallest value? (a) r (b) 1\/6 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) be the second derivative of g**7\/42 + 5*g**3\/6 + 6*g. What is the second derivative of j(r) wrt r?\nAnswer: 20*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 781430 and 650.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1 + (-60)\/10 - -208.\nAnswer: 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -67 + 175. List the prime factors of a.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -13*r**2 + 1. Let p = -1078 - -1079. Calculate t(p).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 17 + (-1152)\/(-63) + (-2)\/7. Solve u - 29 = 3*p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 85386460 to the nearest integer?\nAnswer: 9240","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5742)\/435 + 20769\/345?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11155982?\nAnswer: 2, 5577991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1647.985 - 1640. Let j = x + -8. Let p = -0.03 - j. Round p to 2 decimal places.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2184964 to the power of 1\/2, to the nearest integer?\nAnswer: 1478","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 96961.725 nanoseconds?\nAnswer: 0.0000000001603203125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 2*y + 5. Let z(l) = 2*l + 6. Let u be (-3 + 0\/3)*1. Suppose 3*m + t + 31 = 6*m, -3*m + 16 = -4*t. Let b be (u - 0) + m\/2. Calculate b*z(w) - 4*d(w).\nAnswer: -2*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(28) + 3 + -3.\nAnswer: 2*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -54*b**2 + 337 - 337 + (1 + 4 - 4)*(0*b + 2*b**2 + 0*b) + 3*b**2 + b**2 - 3*b**2 + (0 + 1 + 2)*(5 - 4 - 2)*(-2*b + 2*b**2 + 2*b).\nAnswer: -57*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -173915 divided by -5\nAnswer: 34783","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -6 (base 15) to base 7\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) be the first derivative of 13*w**5\/5 - 33*w**4\/2 - w**3\/3 - 114*w - 2737. Find the third derivative of m(f) wrt f.\nAnswer: 312*f - 396","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 - -33261157\nAnswer: 33261156.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 9, -466, 5, 15, -5 in descending order.\nAnswer: 15, 9, 5, -3, -5, -466","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = -8, -3*t + 7 = p - 6*p. Suppose 20*f - 22*f = -10. Solve 2*x + f = -p for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.771595233 rounded to four dps?\nAnswer: -0.7716","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 70206 to the power of 1\/5, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = a**2 + 3*a. Let y be 5*(-5 - (-216)\/40). Let q(d) = 2*d**2 + d. Let b(r) = y*q(r) + g(r). Factor b(v).\nAnswer: 5*v*(v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 16366, 16691, 17044, 17437, 17882?\nAnswer: 18391","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d\/(d*d**(-4\/5)*d))\/d)\/d**6*(d**(-1\/5)\/d)\/d**(1\/2))**49 assuming d is positive.\nAnswer: d**(-4361\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.1 and 87932515760.\nAnswer: 87932515759.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 8*a = 0. Let n = 4 - -6. Suppose a = -3*w + 5*w - n. Put -4, w, -3 in decreasing order.\nAnswer: w, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3, -4.121, 5?\nAnswer: -4.121","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in -34, 0.2, 216, 64?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/18 + 270\/(-243)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u - 32*a - 24*a = 3*u - 68*a - 70*a + 2, 0 = -4*a + 4 for u.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 63 divide (14 - 23)*(6 - 97)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1062 + -1060. Factor 3\/2*z + 1 + 1\/2*z**n.\nAnswer: (z + 1)*(z + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 129132\/(-86136) + (-3)\/(-2). Let m = d + -240643\/215340. Find the common denominator of m and -34\/27.\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 10167 and 18.\nAnswer: 61002","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7 = -2*s + 13 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 2*u**2 + 31*u - 59. Suppose 0 = 2*m + 5*m + 126. What are the prime factors of a(m)?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/7*7\/14?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2 - 1 - (5 - (-45)\/(-5)). Solve 0*n - 7 = -2*y - n, k*n = 15 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 18*f**2 + f - 1. Let k(p) = -107*p**2 - 11*p + 181. Give 6*j(m) + k(m).\nAnswer: m**2 - 5*m + 175","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -2*b**2 + 6*b - 6. Let v be l(4). Suppose -5*z - 2 = -4*z. Is 13 a factor of v\/8*(-14 - z)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4\/12*(0 + 6). Suppose 7*z = h*z. Suppose f - 5*x + z*x + 5 = 0, -24 = -3*f + 2*x. What is the smallest common multiple of f and 14?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = 3*f - 7*f. Let c(o) = -o**2 + o - 126. Let q be c(0). Calculate the smallest common multiple of 7 and (q\/27)\/(4\/f).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange k - 2*k + 4*k + (0 - 2 + 4)*(-88 + 148 - 80)*(-7*k + 16*k - 61*k) to the form m + x*k and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1034 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -1710578548 to the nearest one hundred thousand.\nAnswer: -1710600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mumm when four letters picked without replacement from mmmmmmmmmmmmmmu.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1643*n**4\/2 - 24647*n**3\/10 - 24651*n**2\/10 - 8221*n\/10 - 1\/5.\nAnswer: -(n + 1)**3*(8215*n + 2)\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n**(-3)\/(n\/(n*n\/n**7)))\/((n\/(n\/n**(-1)))\/n*n)**38)**19)**(-7\/5) assuming n is positive.\nAnswer: n**(-3857\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25858007 + 8803657 = 26*k + 262*k. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 125\/45 - (-2)\/9. Suppose d*y + 4*n - 24 = n, 14 = y - n. What is the tens digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 79505 + -1337.7382.\nAnswer: 78167.2618","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2.1, 0.7, -1\/4, -3?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -164*s**2*x**2 - 4*s**2*x - x**2 + 1450*x - 1 wrt s?\nAnswer: -328*s*x**2 - 8*s*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 214 (base 11) in base 8?\nAnswer: 401","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -2 + 2\/(3 - 1). Let y be (l - -2)*-1 + 55. Let n = -49 + y. Solve n*b = 8 + 2 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14360 divided by 1382?\nAnswer: -7180\/691","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*b - 13 = 10*b + 27 for b.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 825 is divided by 69?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/4 + 6\/4. Let p = 3.5 + -4.5. What is the nearest to p in -9, 2\/9, y?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 8 and 24340063?\nAnswer: 194720504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.063, -3, 1, 5, -2, 22, 0.14?\nAnswer: 0.14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:46 PM and 12:14 AM?\nAnswer: 148","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 175 + -172. Suppose 4*d = 27 + 45. Calculate the remainder when -71*3\/(k\/(4\/(-4))) is divided by d.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -2\/15 (b) -2.32 (c) 21 (d) 1\/24 (e) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 51618\/294 + ((-9)\/(-21))\/1.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + x = -2*r + 125, 0 = -5*r - x + 157. Let z = 32 - 20. Let q be (10\/z)\/(40\/r). Which is the smallest value? (a) -2 (b) 3 (c) 0 (d) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -106.8 + 22.8. Let c = 83.62935 + 0.05065. Let u = d + c. Round u to one dp.\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = 0, 5*i + v - 48 + 93 = 0. Let r(p) = 9*p**2 + 78*p + 20. Let q be r(i). Put 0, 4, q in increasing order.\nAnswer: 0, 4, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -1500*f + 30003. Give g(20).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1879, 7548, 17021, 30316, 47451, 68444?\nAnswer: 93313","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2 - -171413?\nAnswer: 171411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 394694648, 789389297, 1184083946?\n\"Answer: 394694649*c - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*n - 614 + 21830. Suppose 0 = 3*b + 4*c - 3416 - 562, 4*b - n = c. Suppose 0 = -0*g - 6*g + b. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1442 and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -540166 divided by 3\nAnswer: -540166\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -b - 4*b + 10. Let c(w) = -w**2 - w + 1. Calculate c(b).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*a + 7*a - 16. Suppose w + 14 = a*w. Suppose 0 = -2*y + 4*m + 42, 0*m + w*m - 34 = -4*y. What is the remainder when 63 is divided by y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.026172 plus 32?\nAnswer: 31.973828","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*n - 25 = -11*n. Solve 5*m - 3*a = -24, -n*m - 3*a + 0*a = 6 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 266 or 4370?\nAnswer: 4370","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -m. Let a(s) = -13*s + 9. Let c(u) = 3*u - 2. Let b(l) = -2*a(l) - 9*c(l). Let i(p) = p. Let k(t) = 6*b(t) + 5*i(t). Give k(j(x)).\nAnswer: x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: ((9\/15)\/(9\/(-45)))\/(-1)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mqqq when four letters picked without replacement from {q: 3, m: 1, l: 1}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 16270039 and 4945.\nAnswer: 989","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = -3*o + 1. Let i(b) = b**2 + b. Let p(z) = -10*z**3 - 3*z**2 - 8*z + 1. Let y(x) = o*p(x) - 4*i(x). Does 34 divide y(3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/7, 1, -3, 35 in increasing order.\nAnswer: -3, 3\/7, 1, 35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 67334919*b*d**2 + b*d + 2998*b - 95*d + 2 wrt d?\nAnswer: 134669838*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-1\/10)\/(i*i**(-3\/2)))**(-19)*((i**(-5)*i)\/i**3)\/(i\/(i*i\/i**(-2\/15))*i*i**(-2)\/i) assuming i is positive.\nAnswer: i**(-172\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) be the second derivative of -3333*n**3\/2 + 8*n**2 + 6*n. Let l be b(-12). Let k be l\/(-2) + 4\/2. What is k rounded to the nearest ten thousand?\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) be the first derivative of 16*a + 4*a**5 - 12*a**3 + 3*a**4 - 23 + 20 - 11*a**4 + 16*a**2. Solve h(s) = 0.\nAnswer: -1, -2\/5, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 111 a factor of 158467638?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 93 - 66. Suppose 28 - 31 = -3*x. Let u be -8 + 117\/27 - 4\/(-6). What is the nearest to x in u, q, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 134 and 397570?\nAnswer: 26637190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 87*465\/14384*(-4)\/(-9).\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 9.7, -2\/5, -3, 1\/2, 0.05, 4?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) be the third derivative of -g**4\/24 + 19*g**3\/6 - 4*g**2. Let j be o(19). Solve 4*t + j*t - 4 = 0 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (-5*sqrt(180)\/sqrt(3))\/(sqrt(36)\/(-2*sqrt(3)))*1)*-5.\nAnswer: -50*sqrt(5) - 15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2\/15 (b) 1 (c) -0.5 (d) 3\/50 (e) 4 (f) -2 (g) -8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 3445?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1 - 2)*(13 - -33). Let v = 5083 + -55951\/11. Calculate the common denominator of 6*(-9)\/(-54)*m\/(-14) and v.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-6)\/3*(-9)\/6. Differentiate 6*r**l + 0*r**3 - 3*r**3 - 3 with respect to r.\nAnswer: 9*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2184*f - 108603 - 16921 = 134372 for f.\nAnswer: 119","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -30161*561.\nAnswer: -16920321","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(99)*1 + -2)**2.\nAnswer: -12*sqrt(11) + 103","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 7842867 + 5\nAnswer: 7842872","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -409 - -408.93755. Let o = 0.0518 + r. Round o to 3 decimal places.\nAnswer: -0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 + -15 - (5 - 4)\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) be the second derivative of 52*f**4\/3 + 55*f**3 - 381*f. What is the second derivative of q(s) wrt s?\nAnswer: 416","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 8*b + 12 = 0. Let r(o) = o**2 - 12*o + 9. Let u be r(12). Let i be (0 + (-3)\/u)*(-30)\/b. Calculate the highest common factor of i and 15.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Express -38*h**4 + 18*h**4 - 5*h**2 + 18*h**4 + h**3 as b*h**2 + o + j*h**3 + z*h**4 + s*h and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -2*j**2 - j + 35. Let s(f) = 3*f**2 + f - 36. Let d(h) = 5*c(h) + 4*s(h). Let n be d(0). Suppose 19 + n = -5*o. What is o rounded to the nearest 100?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6 + 26*r - 2*r - 19*r)*(r**2 - r**2 + r**3) as z + m*r**4 + q*r + a*r**2 + w*r**3 and give m.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 5385 to the power of 1\/3, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) be the second derivative of 14\/5*s**4 - 53\/5*s**3 + 56*s + 9\/50*s**5 + 66\/5*s**2 + 0. What is t in y(t) = 0?\nAnswer: -11, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -21103202 - -11?\nAnswer: -21103131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4104186102.\nAnswer: 2, 3, 23, 127, 78059","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 3325468847 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 5.6 times 133\nAnswer: 744.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 40 and 310.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zudldddld. What is prob of picking 2 l?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -62, -66, -80, -110, -162, -242, -356?\nAnswer: -510","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) be the second derivative of -y**8\/3360 + 11*y**7\/3780 - y**6\/216 - y**5\/60 + 5*y**4\/12 - 6*y. Let z(j) be the third derivative of p(j). Factor z(v).\nAnswer: -2*(v - 3)*(v - 1)*(3*v + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -23 - 10. Let r = o - -35. Factor 3*h**4 + 3*h**2 - 8*h**4 - 20*h**3 - 27*h**2 - 10*h - h**r.\nAnswer: -5*h*(h + 1)**2*(h + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-2 + (1 - 1))*(-618 + 73)?\nAnswer: 2, 5, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.5111 nanograms in kilograms?\nAnswer: 0.0000000000015111","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put together -3008 and 0.37.\nAnswer: -3007.63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 9, y: 1, e: 5, n: 1, b: 1}. Give prob of sequence mbn.\nAnswer: 3\/1360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -l**3 - 5*l**2 + 2*l + 4. Let x be u(-5). What is the remainder when (-112)\/x - 5\/(-15) is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 30.42 - -0.58. Let b = -34.2 + w. Let v = 6.7 + b. What is v rounded to 0 dps?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -30, -166, -540, -1272, -2482, -4290?\n\"Answer: -20*f**3 + f**2 + f - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 115 and 18890?\nAnswer: 18775","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -260 - -387. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1306366 is divided by 2192?\nAnswer: 2126","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -122843*u*z**3 + 35427*u*z - 85*u - 22*z**3 + 2*z**2 wrt z.\nAnswer: -737058*u*z - 132*z + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 19 + -11. What is the remainder when 25 is divided by j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*r = -6199 + 1370. Is r less than 437?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*t**5 - 182*t**4 + 8*t**5 - 4771*t**2 - t**5 + 4*t**5 + 613*t**4 wrt t?\nAnswer: 480*t**2 + 10344*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z**2 + 3312*z + 914112 = 0 for z.\nAnswer: -552","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x - 4*p + 8 = 0, 4*x - 14 = -0*x - 6*p for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.0499 - -0.5499. What is the third smallest value in 4, a, -3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*i**2 + 17*i - 1 + 13 + 29*i - 26*i - 12.\nAnswer: 2*i**2 + 20*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 54079*i**4 - 3818*i**3*x - 145797*i**2 + 2*i*x - 80*x wrt i?\nAnswer: 1297896*i - 22908*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3002, -6030, -9058?\nAnswer: -12086","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = l**3 - 15*l**2 + 32*l + 23. List the prime factors of c(15).\nAnswer: 503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1258.\nAnswer: 2, 17, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 3*c = -r - 4686, -2*r + 5*c + 3115 = 0. Calculate the remainder when r is divided by 16.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 2 (b) -5 (c) -4 (d) 2\/7 (e) 0.62 (f) -112 (g) 12\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3 - -3. Let p be 4*((-4)\/(-24))\/(-1). Which is the closest to p? (a) -3 (b) -0.4 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor o**3\/3 + 3476*o**2\/3 + 3092317*o\/3 + 41273246.\nAnswer: (o + 42)*(o + 1717)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xppwyphypjhh. What is prob of picking 1 h and 1 p?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 145 - 145. Factor 0 + m*w - 1\/2*w**2 - 1\/4*w**4 + 3\/4*w**3.\nAnswer: -w**2*(w - 2)*(w - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = 5*u - 4. Let v(y) = -y**2 + 3*y + 1. Let c be v(u). Suppose -2*f + 25 = c*f. List the prime factors of f.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) be the third derivative of 11*f**6\/60 + f**4\/12 - f**3\/6 - 3*f**2 + 8. Give o(1).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 116*k + 364. Calculate u(-3).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = -b - 8, 5*z + 14 = 2*b - 15. What is the third derivative of 3*h**6 + 0*h**2 - h**2 - h**b - h**6 wrt h?\nAnswer: 240*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -23? (a) 6\/11 (b) 0.02 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that -5*w**2 + 56310*w + 4708175 = 0.\nAnswer: -83, 11345","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/8? (a) -4 (b) -36 (c) 3.1 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -10*v**3 - 129*v**2 + 5*v - 2. Let c(a) = 30*a**3 + 385*a**2 - 13*a + 6. What is -3*c(b) - 8*y(b)?\nAnswer: -10*b**3 - 123*b**2 - b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = n**3 + 6*n**2 + 6*n + 4. Let p be x(-4). Suppose -2*c = -c - p. Solve 5*u + c = 2*u for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-32)\/(-960)*45)\/((-33)\/(-4)).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 17 - -16. Let m be 6\/p + (-3968)\/44. What is m rounded to the nearest ten?\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1216) - (sqrt(1216) + 4 + 4)) + -1)**2.\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -184*i - 16777. What is b(-91)?\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1908 or 1924?\nAnswer: 1924","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in a + 376645 - 376645.\nAnswer: a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 0*n**5 + 0 + 2*n**5)*(-51 - 81 + 37).\nAnswer: -190*n**5 + 190","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2244 and 408?\nAnswer: 4488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 4*h**2. Let d(x) = 14679677*x**2. Calculate c(d(m)).\nAnswer: 861971667297316*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 432564 and 242724.\nAnswer: 1356","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4403344, -8806639, -13209934, -17613229?\nAnswer: -22016524","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -276*l**2 - 20*l - 11. Let g(u) = -274*u**2 - 16*u - 10. Give 4*d(w) - 5*g(w).\nAnswer: 266*w**2 + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11 - 712*u - 88 + 706*u.\nAnswer: -6*u - 99","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve a**5\/4 + 162*a**4 + 82167*a**3\/4 - 460435*a**2 + 2385675*a = 0.\nAnswer: -461, -207, 0, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q - 4*u = 28 - 4, 4*u = 4*q + 16 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 182134726 a multiple of 57?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = 5*s - 37, 2*i = -4*s - s + 31. Suppose -i*m = -5*m + 2*d + 4, 2*d = 3*m - 9. What is the remainder when 21 is divided by m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(208)\/(sqrt(4) - -6*2*sqrt(4) - sqrt(4)) + -4 + (sqrt(52) - (sqrt(52) + (sqrt(52) - (sqrt(52) + 1 + 1)))).\nAnswer: -2 + sqrt(13)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 120 - 108. Suppose 0*x - k*x + 2304 = 0. What is the units digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -53, -1, 208?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 770789, 1541568, 2312349, 3083132, 3853917?\nAnswer: 4624704","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + -8 + (15 - 15).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4.9 - -5. What is the closest to -24\/7 in -5\/3, v, -0.2?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6702?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = l + 10. Let y = -26 + 24. Let p be f(y). Solve 5*o + p = o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1245 is divided by (-15)\/6 - 136235\/(-220) - 10\/(-8)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**1\/l)**(1\/79)*(l\/((l\/(l**(-2\/3)\/l)*l)\/l))**(-11\/4) assuming l is positive.\nAnswer: l**(55\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = x**3 + 3*x**2 + x - 1. Suppose 5*m = -5*q - 270, -3*m - 105 = 2*q - 0*q. Let g = -60 - q. Give n(g).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -12 + 54?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -33 + 37. Let a(z) = 5*z - 4*z + 3*z + t*z. Let k(f) = 4*f + f - 3*f + 6*f. Calculate k(a(j)).\nAnswer: 64*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = r**3 - 19*r**2 + 5*r - 6. Let w be d(19). Let o = w - 63. Is o a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5*k + 8*k + 2*k)*(135*k - 66*k - 328*k) as h + g*k**2 + f*k and give g.\nAnswer: -1295","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -673.000344 + 673. What is x rounded to four decimal places?\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -9670 by -91.\nAnswer: 9670\/91","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 257 is divided by -74*(16 - 7)\/(-18).\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*m = -4 + 13 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (1101\/(-2))\/(9\/(-12)). Let k = -1153 + d. Let b = 129 + k. Round b to the nearest 100.\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1 + 5. Let l be ((16 + -8)\/72)\/((-4)\/(-24)). What is the smallest value in o, l, -14?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 678 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: Let d = 31 - 44. Let o = 13.35 + d. What is o rounded to one decimal place?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -28*q**3\/5 - 24*q**2 + 304*q\/5 + 96\/5 = 0. Calculate q.\nAnswer: -6, -2\/7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3071 and 74?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-436979 + 436979 + 577*n**2)*(-4*n + 2*n + 5*n + n + 2*n - n - 4*n + 5*n + n + (1 - 1 - 2*n)*(-4 - 1 + 3) + 0*n + 2*n - 4*n).\nAnswer: 5193*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2145 in -0.5, -17, 1\/4, 0.1, 0.5?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Product of 152622 and -2.\nAnswer: -305244","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -4 - 9ab?\nAnswer: -9b2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 37, 80, 131, 190?\nAnswer: 257","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 330 divided by 33\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Product of 229890 and 0.13.\nAnswer: 29885.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 62 + 1 + 16 + (-22 - (-2 + (-14 - -9)))?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 66941461007 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(242) + 1*sqrt(242)*-3 - (-4 + 2 + sqrt(242)))*-2)**2.\nAnswer: -528*sqrt(2) + 8728","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/(-10)*(-13)\/(-26)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*g + 160*g**3 - 3*g - 82*g**3 - 70*g**3.\nAnswer: 8*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((165\/40)\/(-11))\/(6\/4).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (385\/175 + 15617\/(-7760))\/((-3)\/4*-2)?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = z - 272. Suppose -5*k = -4 - z. Calculate the remainder when k is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = 2*n - 5. Let d(f) = 4*f - 2. Let q be d(n). Suppose -q*x + 6 = -18. Calculate the highest common factor of 4 and x.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-21))**(-29) assuming s is positive.\nAnswer: s**609","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -11746 + c6b1?\nAnswer: -2065","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 100805 or 100804?\nAnswer: 100805","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7285.8 - 7260.7996. Let n = -1.6 + -23.4. Let j = v + n. What is j rounded to four dps?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 97813433.\nAnswer: 29, 43, 78439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Express -48*h - h - 7 + 4*h + h as j + n*h and give n.\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 7 - -1 - (22 + -15 + -7). Let n(v) = -v + 5. Let b be n(-4). Which is smaller: b or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 6332 (b) 833 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Are 117740 and 117740 nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 34611*c**6 - 2*c**4 - 2*c**2 + 21459*c wrt c.\nAnswer: 4153320*c**3 - 48*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:34 PM and 3:02 PM?\nAnswer: 88","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1783 + -293. Is l a multiple of 39?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/3*(-387)\/7482.\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 289 - 199 = -30*h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 42*g. Let k(x) = 702*x**2. Calculate k(i(c)).\nAnswer: 1238328*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 29987, 29990, 29995, 30002, 30011, 30022?\n\"Answer: l**2 + 29986","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18 - 1516*s - 997*s + 30 - 9.\nAnswer: -2513*s + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1 and -982.9326.\nAnswer: -982.9326","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3823?\nAnswer: 3823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 211091 and 251.\nAnswer: 251","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 404 minutes after 7:28 PM?\nAnswer: 2:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (2\/1)\/(0 - -1). Suppose -5*v + 3 = -s. Suppose -i - 4*n = -21, i - 11 = -n + v. What is the units digit of i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 2\/9 of a hour?\nAnswer: 800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 14 - -40. Find the common denominator of -6\/11 and b\/(-85) + -1 + 10\/25.\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2724, 4, 0, 3, -4, 16, -3.\nAnswer: -2724, -4, -3, 0, 3, 4, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 264?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 0 - 6*k - 3*k)*(k + 5*k - 4*k).\nAnswer: -18*k**2 + 6*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) be the second derivative of v**4\/6 + 9*v**2\/2 + 2*v. Let l(j) = -j**2 - 5. Let a(d) = d + 9. Let p be a(-3). What is p*h(m) + 11*l(m)?\nAnswer: m**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 2801911?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -134 by -2231.\nAnswer: 134\/2231","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -947 + 947 + 105*s as f + q*s and give q.\nAnswer: 105","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2490*o - 4977*o - 1458*o**2 + 2487*o to g*o**2 + w + j*o and give g.\nAnswer: -1458","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 455 divide 114660?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 17216*i - 171093. Calculate v(10).\nAnswer: 1067","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -45 + 48. Suppose 3*a - a = 5*z - 141, b*z + 4*a = 95. Calculate the remainder when z is divided by (1 + (-4)\/8)*12.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -490 or -369585\/752?\nAnswer: -490","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 311*k - 1371 - 3397 + 103 = 0 for k.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) be the first derivative of 92*y**2 - 160*y - 93. What is the derivative of b(r) wrt r?\nAnswer: 184","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -164 and 252?\nAnswer: -41328","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -6427.21 rounded to the nearest 1000?\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 4*s**2 - 2. Let n(c) = -c**2 + 1. Let f(w) = d(w) + 2*n(w). Let x(b) = 23*b**2 - 9*b**2 - 12*b**2. Calculate x(f(u)).\nAnswer: 8*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3845 + 5524. What is the tens digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 355587.\nAnswer: 3, 118529","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1011011001001 + -111000001?\nAnswer: -1100010001010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (56 - 40) + -5 + 9 + 6.\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4452330244?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 5 = 2*c + 1, -3*c = 3*x + 39. Suppose -5*k + 0*k = -130. Let w = k + c. Is w a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 872*f = -2054*f - 155078 for f.\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) be the first derivative of v**4\/6 - v**3\/6 - v**2\/2 - 1. Let d(c) be the second derivative of j(c). Let l = 10 + -8. Determine d(l).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 771 + -733. What is the remainder when 73 is divided by c?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ior when three letters picked without replacement from iifxxoeeoiir?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -119*-8.484.\nAnswer: 1009.596","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 52 and 1580358.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -31390 - -147?\nAnswer: -31246","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 247*z**3 + 1. Let g be d(1). Suppose -4*r + 92 + g = 0. Is 17 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n - 109 = 48*p - 46*p + 59, 88 = 4*n + 10*p for n.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*w + 4*w - 2*w)*(-6 + 321*w - 130*w + 201*w) to d*w**2 + o + r*w and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 1, v: 4, e: 1, q: 7}. What is prob of picking 2 v and 1 z?\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 152 minutes before 11:41 AM?\nAnswer: 9:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 102513.\nAnswer: 3, 34171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 2*q**2 + 15*q + 24. Let p be g(-2). What is the first derivative of 5 + 136*u + 0*u**p - 2*u**2 - 86*u wrt u?\nAnswer: -4*u + 50","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}