diff --git "a/data/dm_maths/full_data/2364_11255.jsonl" "b/data/dm_maths/full_data/2364_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data/2364_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Is 26505 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -296943 < -296944?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*r**4 + 2*r**4 + 4*r**4)*(7*r - 65 + 65) + 0*r**5 - 2*r**5 + 0*r**5 - 2*r + 2*r**5 + 2*r + (0 + 4 - 3)*(-r**5 + r**5 - 3*r**5) - 3*r**5 - r**5 + r**5.\nAnswer: 8*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*h + 2961 = -3*h. Suppose h = n - 4*w - 13, -4 = -4*w. Is n a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 73*x - 7359. Give f(101).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3\/2, 5, 0.1, 2\/3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - i + 4*i - 5)*(90 - 90 - 18*i)*(-1 + 4 + 2).\nAnswer: -270*i**2 + 540*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 932 + -492. Let z = l - -399. List the prime factors of z.\nAnswer: 839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.12*-510214.1.\nAnswer: -61225.692","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) be the first derivative of i**5\/4 + 25*i**4\/12 + 20*i**3\/3 + 10*i**2 - 17*i + 8. Let d(x) be the first derivative of a(x). Factor d(q).\nAnswer: 5*(q + 1)*(q + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*n + 28 + 18 = 0. Solve 0 = -2*o - n*b - b - 10, -3*o = 4*b + 15 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -11*6\/(-40)*(-15)\/9. Let l(x) = -x + 1. Let z be l(0). Which is the nearest to z? (a) k (b) 2 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 3*d - 1 - 7*d + 2*d - 6. Let t be n(-5). Suppose -2*g - 4*c = -10, -4*g - t*c + 16 = c. Solve u + g*u = 4 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -13\/5166 and 23\/294.\nAnswer: 36162","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = u**2 + 6. Let g be y(0). Suppose -9*q = -g*q - 6. Suppose -2*z + 10 = -0*z, -12 = -2*x - q*z. Calculate the remainder when 2 is divided by x.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 - (20 + -15 + -6 - (2 + -10))?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6 + 1. Let a(d) = d**3 + 5*d**2 - 3*d - 4. Let h be a(i). Suppose -h = -2*b + 1. Sort -1, b, 5 in ascending order.\nAnswer: -1, 5, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 32*r. Let z(q) = 3038*q + 1120. Let h(p) = -135*p - 50. Let c(g) = -112*h(g) - 5*z(g). Determine s(c(n)).\nAnswer: -2240*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4450285?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -o**3 + o**2 + 7*o + 219. Calculate m(8).\nAnswer: -173","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -3*r**2 - 22*r - 10. Determine k(-6).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor b**4\/5 + 219*b**3\/5 - 1338*b**2\/5 + 2692*b\/5 - 360.\nAnswer: (b - 2)**3*(b + 225)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is a + -a839?\nAnswer: -a82c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*k**2 - 45*k**4 + 44*k**4 + 2*k**2 + 2*k**3 + 17*k - 3*k**2 as a*k + o*k**4 + u*k**3 + r*k**2 + v and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -93467*y**3 + 3*y**2 - 93599*y**3 + 187427*y**3.\nAnswer: 361*y**3 + 3*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*h + 20*h = 71253. Let t be (-8)\/22 - h\/231. Let d(l) = l**2 + 12*l + 2. Calculate d(t).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/w**28)\/w**(-5\/3) assuming w is positive.\nAnswer: w**(-76\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:16 AM and 11:36 AM?\nAnswer: 560","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 833 and 25290832?\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 u when two letters picked without replacement from {b: 5, k: 2, p: 5, u: 7}.\nAnswer: 35\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 43037?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -6*(-4)\/42*(-9)\/(-2)?\nAnswer: 18\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange l**3 - 1 + 10 + 3*l**3 - 1 to a*l**2 + y*l**3 + h*l + p and give y.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -245.035704 rounded to two decimal places?\nAnswer: -245.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g**7\/g)\/((g*g\/g**(-3)*g)\/g))**(1\/2))**(-3\/13) assuming g is positive.\nAnswer: g**(-3\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - 3*x = 55, -b = -6*b + 5*x - 55. Let z(c) = -2*c**3 - c**2 + 6*c + 2. Is z(b) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0032693607 to five dps.\nAnswer: 0.00327","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = -d + 361445, 0 = -2*k - 4*d + 122172 + 239282. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4540, 2827, -1848, -10973, -26036?\nAnswer: -48525","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -378658 divided by 7?\nAnswer: -54094","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 21 - 9. Suppose 0 = b - 3*b + n. What is the units digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7 times 48.4\nAnswer: -338.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 75849, 151690, 227533, 303378, 379225, 455074, 530925?\nAnswer: 606778","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1521 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000017568 to 6 decimal places.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 6\/3 - (3 + 1\/(-4)). What is the third biggest value in 2\/5, 14\/9, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8123 (base 12) in base 7?\nAnswer: 55542","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) be the first derivative of c**3\/3 + c - 4. Let p(a) = 2*a**3 + a**2 - 2*a + 9. Let z(y) = 5*n(y) - p(y). Factor z(j).\nAnswer: -2*(j - 2)*(j - 1)*(j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 232072273.\nAnswer: 3253, 71341","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 428076 and 1518.\nAnswer: 428076","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 9588*j**4 - 396*j**2 - 2*j - 2 wrt j?\nAnswer: 230112*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(5 + (sqrt(5808) + -2 - sqrt(432)\/sqrt(144))))**2.\nAnswer: 1032*sqrt(3) + 22224","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h + 16 = -3*o, -5*h + 11 = -6*h + 2*o for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 54792075\/(-650)*(-14)\/3 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -261216 divided by -3\nAnswer: 87072","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = w**2 + w - 1. Let a(l) be the first derivative of 7\/3*l**3 + 5\/2*l**2 + 21 - 5*l. Calculate -a(i) + 5*c(i).\nAnswer: -2*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*z = -233*z - 34*z + 1073 + 642 for z.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6909495?\nAnswer: 3, 5, 460633","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Let b be (-34)\/6*(-40)\/60 - 4. Let k = -2 - -2.5. What is the closest to 1 in b, -11, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1129220 (base 11) to base 7.\nAnswer: -22531334","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -119 - 121 = -6*b. Let c = b - 36. Solve -a - c*a - 10 = 0 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(1\/2) - (-41 + 48)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -576*j**3 + 200*j**2?\nAnswer: -3456","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 4, p: 2, g: 8}. What is prob of picking 2 p and 1 g?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 13 + 31. Is g a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a and 2 p when four letters picked without replacement from papgppggpagagag?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12 + 1 - 3 + (4 + 2 - 4)*(-4 - 1 + 4) - 2 - 1 + 5)*(4 - 4 - 2*h)*(-2 + 3 + 0*h - 4*h + (0 + 0 + h)*(3 - 2 - 4)).\nAnswer: -196*h**2 + 28*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = -0*d - 5*y - 5, 4*y = 3*d. Find the third derivative of -2*t**3 + 0*t**2 + d*t**3 - t**3 - 10*t**2 wrt t.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = f**2 - 22*f - 207. What is the hundreds digit of u(-16)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 3*l + 51 = 0, -x + 3*l + 30 = 7*l. Suppose m - 73 = -3*g, 2*g + x = 4*g - m. What are the prime factors of g?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 3 = -4. Let c = h + 2. Suppose 4*y - 25 = -r, c*r + 0*y = 2*y + 5. Which is greater: r or 4?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22426450 is divided by 800944?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1678236 and 987?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000008425 rounded to six dps?\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 25*l + 17. Let h be w(-4). Let m = 86 + h. Suppose 36 = 2*z + 4*y, -m*y + 7*y = 5*z - 76. Is z a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b when two letters picked without replacement from {b: 5, y: 2, w: 2, j: 2, h: 1, d: 1}?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = 5*g + 6, -5*z = -5*g + 14 + 16. Let p = 8 + z. What is the second derivative of -p*d**2 + 4 - 4 + d wrt d?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -169 plus 1307?\nAnswer: 1138","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 53 minutes after 7:50 AM?\nAnswer: 8:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (-147)\/(-6615)*6*1\/(-1)\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) be the first derivative of 4*p**3\/3 + 15*p**2\/2 - 56*p - 109. What is the hundreds digit of y(-13)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -78348560 rounded to the nearest one million?\nAnswer: -78000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-41)\/4 - -11) + (-802)\/1016. Are l and 0 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 398667 is divided by 49?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -53\/39600 and -7\/2250.\nAnswer: 198000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(66)*5 - sqrt(66))\/sqrt(6) + -1.\nAnswer: -1 + 4*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -654*j + 658*j = 4*f - 4, 2*j + 2*f = -2 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2298*t + 2291*t = -21. Put t, 5, 108 in increasing order.\nAnswer: t, 5, 108","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) be the second derivative of v**4\/4 + 2*v. Let g(q) = 10*q**2. Give r(g(k)).\nAnswer: 300*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -2*p**2 + 18*p + 1309. List the prime factors of i(0).\nAnswer: 7, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 24 and 764.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7170 is divided by 552.\nAnswer: 546","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2030 and 10730?\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in one fifth of a decade?\nAnswer: 24","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 48 and 20136?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 29863*s**3 - 24360*s**2 wrt s?\nAnswer: 179178","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = 339 - 329. Let y = 3.34 - -0.26. Let x = y - 4. Which is the second smallest value? (a) x (b) m (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 92759, 92900, 93135, 93464, 93887, 94404, 95015?\n\"Answer: 47*u**2 + 92712","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 680 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5) + -3 + 4 - (sqrt(60)*5)\/sqrt(12))**2 + -4 + (sqrt(15)\/((sqrt(135)\/sqrt(5))\/sqrt(9)))**2.\nAnswer: -8*sqrt(5) + 82","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1902 to the power of 1\/2, to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -2*t**2. Let n(r) = 3*r - 165. Let d(g) = 4. Let y(v) = -6*d(v) + n(v). What is y(k(l))?\nAnswer: -6*l**2 - 189","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 41\/56422 and -9\/521.\nAnswer: 29395862","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 2042795930?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 4 + 2)*(-a**2 + 2*a**4 + a**2) + a**4 - 3*a**4 - 4*a**4.\nAnswer: 2*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3699, 1\/3, -3, 5 in increasing order.\nAnswer: -3, 1\/3, 0.3699, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 419291 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 112 is divided by 35.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1861501965?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 686 is divided by 25?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 2*l = -60. Let j be 28\/48*6*68\/2. Let s = j - l. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -517*i**3*p**3*u - i**3*p + i**3*u - 190*i**3 + i*p*u + 297*p**3 - 2*p**2*u wrt p.\nAnswer: -3102*i**3*p*u + 1782*p - 4*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 683139?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - (1 + 0 + -4 + 6).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 26151 and 4.\nAnswer: 104604","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) be the third derivative of -n**4\/12 + 2*n**3 + n**2 + 49. Let b be d(6). Solve 2*g + 4 = -7*p + 3*p, -5*g + 2*p + 26 = b for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3 (b) 2 (c) -797\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 45389225 to the nearest integer?\nAnswer: 357","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s**4 + 5*s**3 + 217*s**2 + 931*s = 0. Calculate s.\nAnswer: -7, 0, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -g. Let t be r(-2). Let l(u) = t*u + 0 + 0 + 0. Let m(h) = 0*h**2 - h**2 + 0*h**2. Give l(m(q)).\nAnswer: -2*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = m**3 - m**2 - 6*m + 2. Let d be b(3). Solve -2 - d = 2*n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 86608.855 rounded to the nearest 1000?\nAnswer: 87000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -42462.083202 + 42538.081. Let o = b - 76. What is o rounded to four decimal places?\nAnswer: -0.0022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o + 4*z - 12 = 0, -2*o + 0*z + 3 = z for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1308*d - 6 = 1309*d for d.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -82671*f**3 - 2*f - 552400 wrt f?\nAnswer: -248013*f**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 0*x + 3*x + 0*x. Let r(t) be the first derivative of -2*t**3\/3 - 2. Calculate r(c(l)).\nAnswer: -18*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 54877 divided by 62\nAnswer: 54877\/62","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-2)\/t**(-2\/5)*(t\/(t*t\/(t**1\/t)))**(4\/3))\/((((t**3\/t*t)\/t)\/t)**(2\/115))**(1\/26) assuming t is positive.\nAnswer: t**(-13159\/4485)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 173406768.\nAnswer: 2, 3, 19, 107, 1777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 90734 + -60150. Does 174 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 83911159?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 t when three letters picked without replacement from aaataatataatta.\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6, 76, 220, 432, 718, 1084, 1536?\nAnswer: 2080","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a = 3*a - 5*u - 11, 2*a - 14 = 5*u. Let v be 19\/48 - (-1)\/a. Let h = 13\/48 + v. What is the second smallest value in 0.1, h, 1\/2?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -u - 1. Let q(b) = 4 - 6*b - 6 - 5. Let z = -16 - -11. Determine z*i(a) + q(a).\nAnswer: -a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 363522143?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -4 - -1 - (50 + -31) - (23 + -23 - 3)\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -q**2 + 8*q - 1. Let k(f) = f**2 + 2*f + 4. Let u be k(-3). Suppose 1 + 21 = m. What is the remainder when m is divided by d(u)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 173 - 116. Let q = 1 - -1. Suppose j = 4*i + d, 2*j - 3*i - 149 = -q*i. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -27*d**2 - 2*d - 4. Let m(p) = -27*p**2 - 3*p - 5. Calculate 3*g(f) - 2*m(f).\nAnswer: -27*f**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g + 5*p - 40 = 0, p = 4*g - 6 - 11 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -80*h**2 + 5. Let g(o) = o**2 + o + 1. Let d(j) = 3*g(j) - k(j). Does 21 divide d(1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1571 + 0?\nAnswer: -1571","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 828?\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 85451292?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 241 = 48*j + 85 - 324. Let z(x) = -3*x**3 - 2*x**2 + 1. Let b be z(-1). Calculate the highest common divisor of j and b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6311 (base 8) to base 11\nAnswer: -2506","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.343640626 + -0.34361. What is t rounded to five decimal places?\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -5.778261 to three decimal places.\nAnswer: -5.778","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + -4*(sqrt(84)\/sqrt(50) + sqrt(42))\/(sqrt(864)*-2))**2.\nAnswer: 2*sqrt(7) + 632\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 49 - 49 + 4*n.\nAnswer: 4*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 274 minutes before 5:52 AM?\nAnswer: 1:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 830\/13 + -64. What is the smallest value in 6\/31, b, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 105304 (base 6) in base 10?\nAnswer: 8968","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-9425)\/32045)\/(-4*2\/68)?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -9338 and -0.1?\nAnswer: 933.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -3424421 (base 5) to base 13\nAnswer: -21b46","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:06 PM and 12:40 AM?\nAnswer: 634","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:07 AM and 2:15 PM?\nAnswer: 488","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-2\/5)\/q*q\/(q**4\/q)*(q**(2\/5))**(-9))\/((q**(-1\/8)\/q**(-5))\/(q**3\/(q**(-5)\/q))) assuming q is positive.\nAnswer: q**(-23\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 349*s - 8918 = -28*s - 5902. Suppose 4*z - 1018 = 1086. What is the smallest common multiple of z and s?\nAnswer: 2104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 - 1 + 3)*(0 - c + 0) + 8*c - 4 + 4 - 429*c + 834*c - 418*c to the form a + z*c and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 83 + 5. Let f(x) = x**3 + 5*x**2 + 5*x + 7. Let w be f(-4). Suppose -3*j = -63 - w. Calculate the highest common factor of j and h.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4244537300?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 832\/393 (b) -43 (c) -0.09\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6450 and 1290.\nAnswer: 6450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 4, h: 7}. Give prob of picking 2 z.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 731187 and 17051.\nAnswer: 1003","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -15, -2\/3, 13, 0.1, -0.5, -1\/4?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -101*c - 6*c**3 + 55*c + c**2 + 46*c.\nAnswer: -6*c**3 + c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(-5 + (sqrt(85) + 6*-2*sqrt(85) + sqrt(85))\/((sqrt(20)\/sqrt(2))\/sqrt(2))))**2 + -4.\nAnswer: 900*sqrt(17) + 15521","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 11) to base 2.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-16)\/24*18\/(-4). Suppose -26 - 130 = -m*w. Is 26 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.01 (b) -0.5 (c) 13 (d) -8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35*s = 2*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34*z - 516 = -2*t, 3*z - 11*t + 156 = 78 for z.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**9)**26 assuming v is positive.\nAnswer: v**234","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3447814, 3447813, 3447812, 3447811, 3447810, 3447809?\nAnswer: 3447808","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 236 is divided by 16?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 138\/161*1*28\/(-16).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 131468772?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - u = 845, -5*b - 5*u + 8*u + 2114 = 0. What are the prime factors of b?\nAnswer: 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -110415 (base 7) to base 2\nAnswer: -100101111011000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -9, 5, 1, 549, -15, -3, 10 in decreasing order.\nAnswer: 549, 10, 5, 1, -3, -9, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) be the third derivative of 0*y**4 + 0*y**7 - 48*y**2 - 37\/336*y**8 + 0*y**3 + 23\/60*y**5 + 0 + 0*y**6 + 0*y. Find the third derivative of i(p) wrt p.\nAnswer: -2220*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -13 times 9992785\nAnswer: -129906205","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1329*k**3 + 3118 - 14086*k**4 - 1329*k**3 wrt k.\nAnswer: -56344*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = t**3 + 8*t**2 + 4. Let r be j(-8). Suppose -2*x - 10 = -4*l, -r = -x - 5. Suppose c = 3*v - c - l, -25 = -5*v - c. Solve 2*n - v = 2 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 848*x**3 + 16*x + 97083?\nAnswer: 2544*x**2 + 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -17.38, -26\/305, 12?\nAnswer: -26\/305","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.3? (a) 1.26342 (b) -9 (c) 4 (d) -1 (e) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -4, -7, 195, 37 in decreasing order.\nAnswer: 195, 37, -4, -5, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a week in hours?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 12 = 9. Find the third derivative of n*l**2 + 2*l**5 + 7*l**2 - l**2 wrt l.\nAnswer: 120*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*s**5 - 124*s**4 - 128*s**3.\nAnswer: 4*s**3*(s - 32)*(s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*j = 57 - 12. Suppose -3*h = -22 - j. Is 2 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -d**2 + 1. Let o(i) = -4*i**2 - 9*i. Let s(b) = -o(b) + 3*x(b). Let j be s(-8). What is the third smallest value in -1\/2, -3, j?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -148005.9 * -0.5.\nAnswer: 74002.95","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2426.\nAnswer: 2, 1213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -14\/17 (b) 0.3 (c) 97\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 246 or 1223\/5?\nAnswer: 246","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4856251 millennia in decades?\nAnswer: 48.56251","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are -612 and -3 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -243*r - 2316 - 4731 = 0 for r.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 - (-13 - -9) - 8?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1825186 to the nearest integer?\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*j - 6 = -5*j. Let y(o) = -5*o - 25. Let s be y(j). Suppose -2*f + s*w - 19 = 0, f + w - 2 = 6. Let c(g) = g**2 - 2*g - 1. Determine c(f).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -5, -49, -177, -431, -853, -1485, -2369, -3547?\n\"Answer: -7*l**3 + 5*l - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 3231 (base 4) to base 16\nAnswer: ed","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -0.5 (b) -28.5 (c) 80 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -543*n - 250630 = -4*a - 542*n, -5*n = 10. List the prime factors of a.\nAnswer: 7, 8951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -7 - -7.12. Let x be 796\/(-11542) + 228\/(-58). What is the biggest value in x, l, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -8716\/2245 or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n\/(n\/n**(-4\/5)))\/n*n)\/n**(-7\/6))\/(n**(-3\/7)\/(n*n**(1\/20)*n)) assuming n is positive.\nAnswer: n**(239\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (-60*33\/(-2970))\/((-34)\/4641)?\nAnswer: -91","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 311791 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-6 + (-374)\/(-77))\/(4\/(-854)). Calculate the greatest common factor of 61 and r.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4187 is divided by 637?\nAnswer: 365","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 2*g**2 + 56*g + 7. Let w(d) = -2*d**2 - 55*d - 8. Calculate 6*v(u) + 5*w(u).\nAnswer: 2*u**2 + 61*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (-2330)\/(-23067) + (-3)\/(-108)*-2\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((0\/12)\/((-3)\/3))\/1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 4*y + 68 = 0, -2*y = -4*a - 7*y + 188. Is 78\/a + (-154)\/(-4) a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-4)\/5)\/(1*14\/6335). Let v = i - -676. Which is smaller: 313 or v?\nAnswer: 313","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 93335?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7, -10, -27?\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 19\/4 and 71\/501.\nAnswer: 2004","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*h - 10 - 4. Suppose 2 = -2*z + 6. What is the smallest common multiple of z and (h + -1)\/((-5)\/(-120))?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.8, -2\/15, -1, -0.4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -110110110000 (base 2) to base 3\nAnswer: -11210210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 14 + d2a?\nAnswer: d3e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 1 - 4)*(67*n + 56*n + n**2 - 122*n + 67).\nAnswer: -2*n**2 - 2*n - 134","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5 + 1. Suppose -24*s + 23*s = -2. Find the first derivative of 4*a**2 + 0 - 2*a**s + t + 0 wrt a.\nAnswer: 4*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 5*w + 3. Let q be 1 + (-3)\/((-9)\/57). Suppose o = 6*o - q. Is b(o) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000056916502 to six dps.\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 483 and 16212.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 13776 = 3*z, 2*x - 13908 - 9046 = -5*z. What is the highest common divisor of z and 170?\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(448)*-1 - sqrt(448)))**2*-3 + sqrt(84)\/((sqrt(144) + sqrt(144)*1)\/sqrt(12)) + -2.\nAnswer: -5378 + sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 87109 - 87020.931. Let l = q - 0.069. Let h = l - 87.99949. Round h to four dps.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*q**2 - 2*q**2 + 4*q + 15 - 18 to the form k*q**2 + w*q + r and give r.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cyf when three letters picked without replacement from {y: 4, i: 1, f: 1, x: 1, c: 1}?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 2) in base 12?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 34071.21 litres to millilitres.\nAnswer: 34071210","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5.479 + -0.479. What is the nearest to -0.02 in 2\/13, -6, -4, t?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 4*g - 24 = 0, 4*j + 3 = 2*g + 1. Suppose -c = -2*c - j, d + c = 6. Calculate the highest common factor of 24 and d.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 19*g + 32 + 25 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -364a7 (base 14) to base 13.\nAnswer: -484b4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 + 2 - 2)*(2 - 2 + 1)*(c + 0*c + 56177 - 55970) as r + t*c and give r.\nAnswer: 414","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 578 divide 25432000?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (35 - 5) + (0 - -1) + (20 - (-8 - -25))?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 19 + (0 - (7 + -4)) + (-5 - 3) + -36\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (-2 + sqrt(128))*-2.\nAnswer: -16*sqrt(2) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -173563.52373 and 5?\nAnswer: 173568.52373","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 1 i when two letters picked without replacement from sssimsxss.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -656 - -648. Let s(f) = -f**2 + 2*f - 1. Let u(h) = 2*h**2 - 3*h + 1. What is j*s(k) - 5*u(k)?\nAnswer: -2*k**2 - k + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -13311 - (-9 + (-9)\/(-3)). Let f = y - -1955. Round f to the nearest one thousand.\nAnswer: -11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 539\/(-154)*(-8)\/7.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = q**3 - 19*q**2 - 13*q - 62. What is the remainder when k(20) is divided by 22?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 160085461.\nAnswer: 160085461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1870 and 330?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7\/3 - 2. Let k = -25\/2 + 12. Sort k, 0.06, p in decreasing order.\nAnswer: p, 0.06, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1 - 3. Let j = 1.203 - 5.158. Let c = j - b. Round c to two decimal places.\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 3 = 0, -v = 5*z + 2*v - 21. What is the smallest common multiple of z and (-7 - (-69)\/9)*36\/1?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express g - 2 + 2 + (2 + 1 + 4)*(2 - g - 2 + (-g + 1 - 1)*(-2 + 4 + 0) + 5 - 5 - g - g + 0*g - g) as n*g + v and give n.\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.351938 tonnes to grams.\nAnswer: 7351938","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -4*w**2 + 652*w - 5. Let i(x) = -x**2 + 109*x - 1. Let k(r) = -6*i(r) + j(r). Let c = -9 - -12. Let u(s) = 6*s**2 - 6*s + 4. Give c*u(p) - 10*k(p).\nAnswer: -2*p**2 + 2*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 382021 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 0*i - 43 = -5*d, 5*d - 57 = -3*i. Suppose r = 1, -r = v - 47 - 8. What is the remainder when v is divided by i?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + 8.367?\nAnswer: 6.367","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1\/386 or 0?\nAnswer: 1\/386","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 smaller than -44?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1785 and 75.\nAnswer: 8925","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) be the first derivative of -s**2\/2 - 26. Let q(j) = 28*j + 18 + 20 - 40. What is q(t(a))?\nAnswer: -28*a - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yyyyyyywyyyyyyyyyyyy. What is prob of picking 3 y and 1 w?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -3, -0.3, -38\/11, 2\/31, -20, 5, 0.2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 158 and 10.\nAnswer: 790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = a + 5. Let v = -4 + 4. Let l be x(v). Suppose -5*i + 25 = -l. Solve 2*y + k - 6 = 0, -i*k + k + 9 = 3*y for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1)\/((-3)\/2)*6. Suppose -3*c - 2*c + a*x + 40 = 0, 5*c = -4*x. Let i(m) = 5*m + m - c*m. Let z(g) = 3*g. What is z(i(f))?\nAnswer: 6*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 1\/31?\nAnswer: 1\/31","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:14 AM and 2:00 PM?\nAnswer: 526","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -734*i - 1082*i + 108514 = -81*i + 624*i for i.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 1, -16, 4 in descending order.\nAnswer: 4, 1, -3, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0*(3 - 7)\/(-8). Suppose a*b = -2*b. Solve b = -j + 2 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00362081959 rounded to three dps?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -l**3 + l**2 + 3*l + 2. Let j be (3 + 0)\/((-6)\/4). Let z be a(j). Let q = z + -3. What is the units digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 4*q = 0. Is -1\/2 less than or equal to q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 + 6 = j - 4*w, -2*w - 18 = 5*j for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i*i**(1\/2))\/(i*i**(-1)\/i*i*i))\/(i*i**(-1))**(-20) assuming i is positive.\nAnswer: i**(3\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.001491 to four dps.\nAnswer: 0.0015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 160413481 and 409?\nAnswer: 409","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -47*z + 2242. Let t be i(53). Is t less than -243?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 divided by -6.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 2*i. Let o(s) = 3*s**2 + 5*s. Let a(r) = 40*r**2 + 64*r. Let v(m) = -5*a(m) + 64*o(m). Determine v(b(k)).\nAnswer: -32*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3 - -7. Let s be 2\/n + 267\/15. What is the highest common divisor of 12 and s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:52 AM and 4:25 PM?\nAnswer: 573","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Do -0.2 and 91.14476 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 16936.7292 + -16919.5292222. Let s = 0.135 - -17.065. Let d = s - q. What is d rounded to 6 dps?\nAnswer: 0.000022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3128\/(-476))\/(2\/(-7))?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxxx. What is prob of sequence xx?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3 - -2. Suppose 4*p - q*s = 16, -5*p - 5*s + 3*s = -20. Let z(u) = -u**3 + 4*u**2 + 5*u - 2. Is 9 a factor of z(p)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 2715*c - 1360*c - 1358*c. Let h(u) = 193*u**2. Calculate h(r(b)).\nAnswer: 1737*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 180 = 4*d, -r - 4*d + 55 - 20 = 0. What is the greatest common divisor of r and 43?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 21282 - 8963. Is h a multiple of 97?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 136201*z**5 + 205*z - 378 wrt z.\nAnswer: 2724020*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6*(-3)\/(-2)*(-4)\/12.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is c - -373b7?\nAnswer: 373c5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3\/(-6) - 40\/(-16). Determine y, given that 0 - 4\/9*y**3 - 2\/9*y**g + 0*y = 0.\nAnswer: -1\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 66822117?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange s + 102*s**3 - 2 - 10*s - 104*s**3 + 3*s**4 + 4*s**2 to the form m*s**4 + t*s + o*s**2 + w + f*s**3 and give t.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, k: 7}. What is prob of sequence ko?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 3296831 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nn when two letters picked without replacement from nvgvnb.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*c - 5*c + 2*c)*(12 + 8 - 27)*(-2*c - 3*c + 2*c) + (2*c + 4*c - 5*c)*(-c + 0 - c - 1).\nAnswer: -23*c**2 - c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + 17 + 53 = 5*y, -4*y - l = -66. 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: Solve 4*d**3 + 36*d**2 - 208*d = 0.\nAnswer: -13, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 2.6, 4, -2, 187, 5 in ascending order.\nAnswer: -2, 2.6, 4, 5, 187","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1906541 and 2701.\nAnswer: 70542017","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 74\/(-14) - (-2)\/7. Let o(x) = 2*x**3 + 17*x**2 + 11*x - 17. Let u(f) = f**3 + 8*f**2 + 5*f - 8. Let h(y) = -2*o(y) + 5*u(y). Give h(n).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is j in -5*j**4 - 13555*j**3 + 2332185*j**2 - 115898245*j + 1791446020 = 0?\nAnswer: -2876, 37, 91","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 0*w = 0. Suppose -14 = -23*q + 9. Let t be (8 - q)*60\/210. Solve -3*c + t*c = w for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 15) to base 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1 + 1. Let x = 23632 - 1488814\/63. Which is the third biggest value? (a) x (b) -0.3 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = f**3 - 32*f**2 - 59*f - 48. Determine k(34).\nAnswer: 258","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 345 minutes after 10:50 AM?\nAnswer: 4:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u and 2 o when four letters picked without replacement from ozuzzozzuzzuouuz?\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 186687 + 7459713 = 450*n. Does 72 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((6776\/110)\/(-14))\/(3\/(-15)*14)\nAnswer: 11\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2176, -2179, -2184, -2191?\nAnswer: -2200","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b = -b. Suppose b = -3*s + 2*s. Let i = 6 + s. List the prime factors of i.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -8*d + 144. Let r be l(0). What is the derivative of 50 + 3 - r*w + 95*w wrt w?\nAnswer: -49","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 6 and 1194162.\nAnswer: 1194162","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 0.5 (b) 2 (c) 8 (d) -4\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:12 PM and 6:11 AM?\nAnswer: 419","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 45 (base 6) to base 7\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = x**2 + 7*x + 2. Let z be q(-6). Calculate the remainder when 6*(0 - 6\/z) is divided by (-2 + 1)\/1*(4 + -9).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -z**3 - 5*z**2 + z - 4. Let r = 0 - 5. Let g be v(r). Let h(s) = -2*s - 4. What is the tens digit of h(g)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that -32*z**3 - 84*z**2 + 36*z = 0.\nAnswer: -3, 0, 3\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 less than 2.88914?\nAnswer: -2.11086","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 10*z**2 + 9*z. Let r(o) = 47*o. Calculate r(p(h)).\nAnswer: 470*h**2 + 423*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -525*w**2 - 17327*w - 47. Give l(-33).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p, 1 q, and 1 m when three letters picked without replacement from {m: 2, q: 1, n: 1, e: 7, j: 1, p: 2}?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22505*x + 22312*x = 4053 for x.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = j - 15. Let n be c(9). Let r = 13 + -7. Let t = r + n. Solve t = 4*d + k - 14 + 2, -2*d + 6 = 2*k for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.0443 + 79.7557. Let b = u - 80. Sort -2\/13, b, -9 in decreasing order.\nAnswer: -2\/13, b, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5173731754?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l, 2 a, and 1 c when four letters picked without replacement from ozcoazzpolozzaz?\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -365 divided by -1957.\nAnswer: 365\/1957","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3 (b) 4 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 82 = 2*s + 3*s - 3*u, -u - 18 = -s. Find the third derivative of -s*h + 14*h**4 + h**4 - 3*h**2 - 38*h**4 - 2*h**3 + 10*h**4 wrt h.\nAnswer: -312*h - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-11)\/((-11)\/(-6)))\/2. Let h = -0.4 + -0.6. Let d = -1 + h. Which is the smallest value? (a) -4 (b) d (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -12, 2\/13, -38, 5?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1124*k**3 + 3487*k**3 + 2714*k**3 + 7869*k**3 + 2191*k**3.\nAnswer: 15137*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 239169167 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -386341 and -0.38.\nAnswer: 146809.58","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 2726201 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 8 = 12. Is -4 >= y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -34*a**5 + 8 + a**4 - 3 - 30*a**4 + 17*a**4 + 29*a**2 + 2 wrt a.\nAnswer: -2040*a**2 - 288*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (0 - -1)\/((-11)\/77) - 1. Let j(i) = -i - 14. Let d be j(-11). What are the prime factors of 708\/a*(d\/9 + -1)?\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -18*w**2 + 87*w + 437. Let n(b) = -6*b**2 + 29*b + 145. Let d(h) = 11*n(h) - 4*x(h). List the prime factors of d(-8).\nAnswer: 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*h**3 + 14423 - 28865 + 14442.\nAnswer: 20*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 450915?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -290 + 302. Suppose 0 = 2*g - 38 + z. Calculate the remainder when g is divided by 10.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = a**2 - 8*a. Let c be u(8). Let y(o) = -o**2 + 9*o - 10. Let t be y(8). Let l be -3*t\/6 - 1. Is l at most as big as c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -20\/87 and 37\/11.\nAnswer: 957","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -223 (base 12) to base 7.\nAnswer: -630","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 64 + -115. Let h = m + 74. What is the units digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4916 - -4920. Let x(c) be the first derivative of -19*c**2 + 23\/4*c**m + 0*c - 10 + 0*c**3. What is the second derivative of x(u) wrt u?\nAnswer: 138*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -0*q - 6*q. Let y(z) = z**3 - 9*z**2 + 5*z**2 + 13 + 3*z - 2*z**q - 5*z**2. Determine y(-9).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) be the third derivative of -1\/120*i**5 - 1\/420*i**7 + 0*i**3 + 0*i + 0 + 0*i**4 - 1\/120*i**6 + 3*i**2. Factor o(f).\nAnswer: -f**2*(f + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 - (-3 - -4) - (-6 + 2)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z and 1 x when three letters picked without replacement from zzzxxzxzxxxx?\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/9)\/1*438\/(-1460)?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.124 + 14.076. Let z = n - 22.5. Let l = z + -11.8. Round l to zero decimal places.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -1 - 1\/((20\/(-12))\/5). What is the third derivative of -23*k**3 + 3*k**2 - 9*k**3 - 2*k**x + 15*k**3 + 11 wrt k?\nAnswer: -102","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5802 divided by -6\nAnswer: -967","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -187488+0.09\nAnswer: -187487.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: ((-246)\/(-18) + 1442\/(-103))\/(3 + 34\/(-4))\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14866947463 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 13) to base 6\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 100, 96, 90, 82, 72?\n\"Answer: -t**2 - t + 102","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does -248304966 = -248304962?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2714 and 1062?\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 234369*q + 7 = 234373*q + m, 3*q + 2*m + 1 = 0 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3277.9734016 + 0.0415984. Let j = -3266 + u. Let o = 12 - j. Round o to 2 decimal places.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35711*o - 8376 = -35362*o for o.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 14384 and 1392?\nAnswer: 43152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 110987 is divided by 7927?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(405)*-2)**2 + 2.\nAnswer: 1622","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-20)\/18)\/((-11151)\/602154)?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 253853 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 826 + b007?\nAnswer: b830","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 - 3 + 3)*(11*x - 108 + 108) to the form z*x + y and give z.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 1917?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.03 - -0.33. Which is the closest to -2? (a) 1\/2 (b) -2\/5 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3195*t**2 + 2078*t**2 + 3139*t + t**4 - 5702 - 3929*t**2 + 6969*t + 837*t**3 - 1042.\nAnswer: (t - 2)**3*(t + 843)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 63370290, 126740585, 190110880, 253481175, 316851470?\n\"Answer: 63370295*a - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 + -4)*1 + 4.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -3*u - 61. Determine m(-5).\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*a**3 - 1975 + 1975.\nAnswer: -7*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -9*p**3 - 4*p**2 - 4*p. Let z(w) be the second derivative of w**4\/12 + w**3\/6 - 158*w. What is -r(h) - 4*z(h)?\nAnswer: 9*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 288933 - 100672. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:23 AM and 1:39 PM?\nAnswer: 616","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + 5*p = -17, -p + 27 = m - 6*p. Suppose m*g - 37 = g. List the prime factors of g.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/167 in 11\/4, -0.2, -58, -0.5, 10, -5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 11 and 704.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 30dd (base 14) to base 6\nAnswer: 103003","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dzdzzzdzzzdwz. Give prob of picking 1 d and 3 z.\nAnswer: 224\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = k - 6 - 4. Let x = k - 7. Suppose m - x*y + 0 - 41 = 0, 8 = -2*y. What is the remainder when 83 is divided by m?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 + (-4)\/18 + 625\/(-225).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -675 divided by -135\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:07 AM and 3:13 PM?\nAnswer: 246","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r when two letters picked without replacement from {w: 5, r: 13}?\nAnswer: 26\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((0 + sqrt(425)*-1*3 + -2*sqrt(425) + 1)*4 + -4)*2.\nAnswer: 1200*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 80*a = 222*a + 9*a + 2869 for a.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that -3*t**3 - 684*t**2 - 23145*t + 133200 = 0.\nAnswer: -185, -48, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 10*p - 171. Let f be c(17). Let s be (-12)\/f + -1 + 4. Which is smaller: 8 or s?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2363062003 to the power of 1\/2, to the nearest integer?\nAnswer: 48611","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10010111100010001 - 1010011?\nAnswer: 10010111010111110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -2*f + 24. What is l(16)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -14*p**3 + 14*p**2 - 90*p + 179. Give a(3).\nAnswer: -343","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -117, 1\/4, 82\/573 in increasing order.\nAnswer: -117, 82\/573, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11101 + -1111111011?\nAnswer: -1111011110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 79298 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 385 + 5?\nAnswer: 401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of ((-3834)\/(-90))\/((-3924)\/(-1305) + -4 + 1) and 21.\nAnswer: 43239","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -107 - -ebe4?\nAnswer: eadc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Is -0.4 > -2\/76372897?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 275162 rounded to the nearest ten thousand?\nAnswer: 280000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 264 = -36. Is 32 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-19)\/(-6) + (-1)\/6. Suppose 78 = j*c + 18. Solve -4*r = -t - 3*t + 4, 0 = 2*t + 4*r - c for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -24 + -5423?\nAnswer: -5447","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -207 = -z + 117. Suppose 1044 = 4*i - z. Suppose -5*o = 4*r - 832, -2*r + o + 88 = -i. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0*((-5)\/(-6) + 25 + -26).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 36 = j - 4, -12 = 3*j. What is the remainder when 41 is divided by x?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -8*b**2 - 1322*b + 17426. Calculate i(13).\nAnswer: -1112","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -10*m**5 + 7*m**5 - 13*m**5 + (m**2 + m**3 - m**2)*(2*m**2 + m**2 - 2*m**2) - 11*m**5 - 9*m**5 + 15*m**5.\nAnswer: -20*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 16*j**3 - j**2 - 6*j + 7. Let f(m) = 31*m**3 - 2*m**2 - 11*m + 13. What is 6*f(t) - 11*y(t)?\nAnswer: 10*t**3 - t**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (97803\/(-54))\/(20\/(-120))?\nAnswer: 10867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -293 - -292.6. Let d = 0.2 - -0.8. What is the closest to d in 0.1, h, 2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24302 to the power of 1\/3, to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-8)\/6)\/((-2)\/(-3)). Is -4 greater than or equal to q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 508 - 509. Suppose 5*s = 4*t - 380, t = 2*t. Let u = s + 149\/2. Which is the closest to 0? (a) y (b) 0.1 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -17341784.96 rounded to the nearest 100?\nAnswer: -17341800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36 + 108 = -28*f + 44*f for f.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(6)\/sqrt(3)*-6 - (2 + sqrt(2)*-3).\nAnswer: -3*sqrt(2) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 17\/1737 at most 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 1, n: 1, g: 10, l: 1, y: 7}. Give prob of picking 3 g and 1 y.\nAnswer: 56\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 58 - 53. Suppose 0 = a - r*x - 2, 6*a = 3*a + 2*x - 33. Sort -3, 0, -5, a in descending order.\nAnswer: 0, -3, -5, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1\/7 (b) 5 (c) 2\/95\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - 3)*(-43*g + 28*g - 67*g - 3 + 3 - g + (6 - 4 - 4)*(-g + 0 + 0) - 2 + 3*g + 2)*(2*g**4 - 4*g**4 - g**4).\nAnswer: -702*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = 2*a + 1259225, 4*s + 2*a - 1695581 = 3341349. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 122, 114, 106, 98?\nAnswer: 90","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k when two letters picked without replacement from {h: 2, k: 2, j: 6, r: 6, a: 1}?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(0 + sqrt(162)*1*3 - (sqrt(162) - ((2*sqrt(162) - sqrt(162)) + 5) - (-3 + 0 + sqrt(162)))**2).\nAnswer: 18*sqrt(2) + 332","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -9*o + 28. Let s be f(3). Sort 0.4, 2, 5, s.\nAnswer: 0.4, s, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 140\/(-434) + (-616531)\/27187?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3309 + 0*k - 5*k - 2*k - 3309.\nAnswer: -7*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 8*c - 926 - 1141 - 140 + 0*c - 9*c in the form q + a*c and give q.\nAnswer: -2207","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 46*c - 11. Let f(o) = -47*o + 11. Let g(p) = -6*f(p) - 5*n(p). Let w be g(13). Suppose -5*s + 150 = -w. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13.14 - -2?\nAnswer: 15.14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*t**3 + 88*t**2 + 404*t + 312.\nAnswer: -4*(t - 26)*(t + 1)*(t + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 189 divided by -9?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*14\/(-42)*6\/(-4)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -q**4 + 128728*q**3 - 855*q**2 - 17*q wrt q?\nAnswer: -24*q + 772368","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 6 - 19?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) be the third derivative of -d**4\/12 - d**2 - 241. Let b(r) be the third derivative of -r**5\/10 + r**4\/12 - r**2. Give g(b(k)).\nAnswer: 12*k**2 - 4*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -108, -0.01, -5717 in descending order.\nAnswer: -0.01, -108, -5717","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -14*g**4 - 3*g**4 - 4 + 5 + 44*g + 28*g**4 - 10*g**4 - 2*g**2 in the form q*g**3 + a*g + t*g**4 + d*g**2 + u and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hfffxfafhfxrffa. What is prob of picking 1 x and 1 r?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 3. Let j(q) = 2*q + 3. Let a(r) = 4*j(r) - 3*k(r). Calculate a(-5).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 139*v + 14 + 18*v + 5 - 19.\nAnswer: 157*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 40*y**2 + 7360*y + 156. Determine z(-184).\nAnswer: 156","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w, 1 g, and 1 f when three letters picked without replacement from {w: 1, g: 1, j: 3, u: 1, f: 5}.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(2736)*-2*1 - 5*-1*sqrt(2736)) - (sqrt(2736) + sqrt(2736) + 4*(4*sqrt(2736) + sqrt(2736)) - (2*sqrt(2736) + 3)))**2.\nAnswer: -1008*sqrt(19) + 536265","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 4 (b) -3\/29 (c) 402 (d) -1\/6 (e) 2\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 7\/4 of a kilometer?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1885 a multiple of 65?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11 (base 3) to base 8.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-750)\/875*(5*(-1 - 0) - (-146)\/18).\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-67*180\/(-93800))\/(2*36\/(-21)).\nAnswer: -3\/80","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -55353, -55355, -55359, -55365, -55373, -55383, -55395?\nAnswer: -55409","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that k**2 + 27866*k + 111448 = 0.\nAnswer: -27862, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -4, -12, 118, 452, 1056?\n\"Answer: 11*x**3 + 3*x**2 - 94*x + 76","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 11\/2 of a millimeter?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j when two letters picked without replacement from ujvvvvjvuvwvv?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 3654 = -3*x, -x - 3*j = -0*x + 1218. Which is bigger: -0.1 or x?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39 = -2*j + z, -11 = -2*j - 2*z + 37. Suppose 17*m - j*m = 0. What is the closest to m in 0.5, -1, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k + 3*j + 89 = 0, 5*k + 685*j - 683*j = -106 for k.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -11\/7 + 9\/7. Let l = 13.4 - 13. Which is the closest to -2\/7? (a) 4 (b) l (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4840.207237 rounded to the nearest one hundred?\nAnswer: 4800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 3*k + 52 = 0, 104 = -0*f + 2*f - 3*k. What is the units digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 313560567.\nAnswer: 3, 31, 1123873","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -376\/5 - -75. Let s = 0.6 + -0.1. Let m = -0.7 + s. Which is the closest to m? (a) u (b) 5 (c) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, 0.05, 2, 0.3, 0.4 in decreasing order.\nAnswer: 8, 2, 0.4, 0.3, 0.05","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 581 minutes before 7:48 PM?\nAnswer: 10:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 67080 and 8.\nAnswer: 67080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*s = -28*s - 60. Let u = 419 - 74. Calculate the greatest common factor of u and s.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 16 + -16. Suppose -z = -l*z - 2. Which is the second smallest value? (a) -7 (b) z (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2*m + 0)*(10 - 1 + 4)*(3 + 9 + 3).\nAnswer: -390*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 1, g: 1, p: 1, k: 2}. What is prob of sequence kpg?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*s = -0*s + 490. Calculate the highest common factor of 42 and s.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 4}. Give prob of sequence yyyy.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*r + 20, 2*x + 5*r - 104 = -0. Suppose -9*w - 15 = -10*w. Calculate the remainder when x is divided by w.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 122915?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 94 - 658 = 0. Let w = -707\/5 - s. Which is the closest to w? (a) 5 (b) -1\/7 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2) + sqrt(8)*-1 - sqrt(2))**2 + sqrt(6)\/sqrt(3) + -5.\nAnswer: sqrt(2) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 345 minutes before 4:14 AM?\nAnswer: 10:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 495928189 + 4.\nAnswer: 495928193","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 19, 11, 1338, 4.\nAnswer: -5, 4, 11, 19, 1338","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7146620*20.\nAnswer: 142932400","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.584 in -2\/7, -2\/11, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*l - 1719 + 1719 - 17*l.\nAnswer: -3*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 35, 36, 37, 38?\n\"Answer: x + 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.5 (b) -2 (c) 1.29 (d) 6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((0 + -3*sqrt(1100))*5 - -3*(sqrt(1100) + sqrt(1100) + -4*(-2 + sqrt(1100))))*-6 + 1 + -2)**2.\nAnswer: -365400*sqrt(11) + 17484625","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -2 + 5 - (0 - 0) - 5\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4264 - -4269. Let o be (-4)\/(-6) + 13\/3. What is the third derivative of -4*i**5 + 3*i**o - 13*i**2 + 7*i**k + 36*i**2 wrt i?\nAnswer: 360*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/3 greater than 43\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -20*q + 38. Let n(o) be the second derivative of o**3\/6 + o**2\/2 - 10*o - 3. Let a(s) = -8*n(s) - v(s). Find the first derivative of a(c) wrt c.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 17 + -15. Is (z\/4)\/((-8)\/(-96)) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -117*a**2 + 1. Let w(g) = 683*g**2. Give j(w(r)).\nAnswer: -54579213*r**4 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 788.\nAnswer: 2, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x\/(x**12*x)*x*x**(-1\/7)*(x**(-1\/3))**(-18) assuming x is positive.\nAnswer: x**(-36\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -116 in -3\/8, 0, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:00 AM and 9:46 PM?\nAnswer: 706","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 10, 693, 5, 25 in increasing order.\nAnswer: 5, 10, 25, 693","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 6*g**2 + 13*g - 74. Determine s(-8).\nAnswer: 206","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*t + 47*t - 28*t - 39*t.\nAnswer: -5*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d - 4*w = -d + 22, 8 = -d - w for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 360 minutes after 2:42 AM?\nAnswer: 8:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that 30*y**4 + 197855*y**3 + 1219075*y**2 + 724465*y - 2141425 = 0.\nAnswer: -6589, -5, -13\/6, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) be the second derivative of p**4\/12 - 7*p**3\/6 + 5*p**2\/2 + 3*p. What is n(7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (1*sqrt(2) + 0 - sqrt(2)))**2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 26 = 30. Let z = -21 + 23. Solve z*v + 4 = -w*v for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 53*f**3 - 40*f**3 + f - 4*f + 3*f.\nAnswer: 13*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -9*c - 38. Is 4 a factor of u(-7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 382074860?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -78.1 - -75. Let l = v + 3. Let k = 144 - 148. Which is the closest to l? (a) -8 (b) k (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 177 - 159. Calculate the smallest common multiple of v and 42.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 24839, 49679, 74517, 99353?\nAnswer: 124187","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -g + 30. Let d(k) = k**3 + 9*k**2 + 4*k - 14. Let n be d(-6). Calculate the greatest common factor of g and n.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*g + 0*g + 105 = 0 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(4)\/(sqrt(2) + (sqrt(20)\/sqrt(10) - sqrt(2))*-5).\nAnswer: sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1.87 - -0.13. What is the biggest value in 5, -4, 3, r?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 62516119669 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 2887 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3.5024 - -43019.\nAnswer: 43022.5024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = k**2 + 11*k - 1. Let z be y(-11). Let f be z - 2\/2 - -4. Sort 12, -1, f.\nAnswer: -1, f, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.1726 times 100\nAnswer: 17.26","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) be the first derivative of -15*r**2\/2 - 261*r - 1507. What is f(-17)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:33 PM and 12:28 AM?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -1*1*(1 - 0). Let d(t) = t**3 - 7*t**2 + 4*t + 9. Let q be d(6). Which is the smallest value? (a) q (b) y (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 645, 641, 637, 633, 629, 625?\n\"Answer: -4*z + 649","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -437135\/273 + 4802\/3. Calculate the common denominator of q and 6\/5.\nAnswer: 455","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 37779914.\nAnswer: 2, 18889957","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) -6 (b) 0.04106 (c) -2\/15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 49*c - 6. Let i(q) = -9*q + 1. Let u(w) = -11*i(w) - 2*n(w). Let z be u(1). Solve 0 = 4*j - 2*j + 4*x + z, j + 3 = -4*x for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 228 + -174. What is the lowest common multiple of c and 90?\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-1\/5)*o)\/o)**(-9\/10)\/(o*o\/((o\/o**(1\/9))\/o)*o*o)**(-18) assuming o is positive.\nAnswer: o**(3709\/50)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3.717 - -3.617. Let u = -128099\/129 + 993. Which is bigger: u or q?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 18069, 18071, 18087, 18123, 18185?\nAnswer: 18279","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 3*w**2 + 5*w + 2. Suppose 0 = 3*g - 10 - 2. Let r(h) = -3*h**2 - 6*h - 3. Let t(n) = g*r(n) + 3*y(n). Solve t(b) = 0 for b.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17462448 a multiple of 36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) be the third derivative of z**7\/840 + z**6\/120 + z**5\/30 + z**4\/24 - 17*z**3\/6 - 87*z**2. Let p(y) be the first derivative of k(y). Calculate p(-3).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -49 (b) -4 (c) 1\/2 (d) 5.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-272)\/(-24) + -4)*(-2 - (-93)\/33).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 45.5502978 minutes in weeks?\nAnswer: 0.00451887875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -3, -12105 in descending order.\nAnswer: -2, -3, -12105","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 95 a factor of 10210413?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2254 and 1064854.\nAnswer: 322","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (13 + 18 - 24 + 13*x)*(-3*x**2 - 20*x**2 - 17*x**2) to k + d*x**2 + g*x + r*x**3 and give r.\nAnswer: -520","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 68346 + -46663. Calculate the remainder when o is divided by 78.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4432 + 8300. What is the thousands digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 72\/33 + (-26)\/143. Find the third derivative of -1 - 1495*p**4 - 3*p**f + 5 + 1427*p**4 wrt p.\nAnswer: -1632*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 2*t**3 - 51*t**2 - 27*t + 33. Calculate p(26).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -w + 1. Let m(k) = 2*k - 3. Let h(o) = m(o) + 3*q(o). Let z(i) be the first derivative of -5*i**3\/3 - 31. What is z(h(u))?\nAnswer: -5*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.2 + 0.2. Let g = 0.01 + -0.31. Which is the third biggest value? (a) k (b) g (c) 1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) be the first derivative of 8*y**3\/3 + 2*y**2 + y + 9. What is the units digit of f(2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (4\/(-16) - (-51)\/(-36))*-3. Solve 10 = 7*o - x*o for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 142 a factor of 757528?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -1. Let j(u) = 2*u + 3. Suppose -5*m - 5*z = 0, 0 = -4*m - 5*z + 6 - 5. Determine m*j(h) - 4*g(h).\nAnswer: -2*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6 + -6. Let y(h) = -2*h + 8. Let z be y(b). Solve k = z - 3 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (3\/(-2)*2)\/(7\/(-7)). Suppose 45 = -j*h + 18*h. Solve t - 6 = f, -3*t + 7*f + 20 = h*f for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 30 and 1380750.\nAnswer: 1380750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 24, 39, 58, 81, 108?\nAnswer: 139","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in 22755, -1, 1\/21?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -14190*n + 14174*n + 16. Put 3\/7, 16, n, 5, 2 in ascending order.\nAnswer: 3\/7, n, 2, 5, 16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3385800 and 100225?\nAnswer: 475","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-2\/3)*h*h*h)\/((h*h\/(h*h**6))\/h)*(h*(h**(-12)*h*h)\/h)\/h**(-13) assuming h is positive.\nAnswer: h**(34\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -4 + (-12)\/((-12)\/4). Suppose 3*z - 2*u + 10 = 0, a*z + 3*u = 3*z + 15. Let d(q) = q + z*q + 1 - 1. Let h(g) = -g**2. Calculate h(d(f)).\nAnswer: -f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 23237 divided by 320\nAnswer: 23237\/320","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(7) + (sqrt(21)\/sqrt(3))**2 + -2)*-5 + 1 + -2 + sqrt(7)*-2.\nAnswer: -26 - 7*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 6\/8 - (-2)\/8*73. Let d be 17*((-4)\/2 - -1). Let i = q + d. Let u(a) = -4*a**2 - a. Calculate u(i).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -11*i + 323. Let j(m) = 5*m - 160. What is -4*d(r) - 9*j(r)?\nAnswer: -r + 148","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r, 1 p, and 1 d when three letters picked without replacement from {d: 1, a: 2, t: 2, r: 6, p: 4, n: 2}.\nAnswer: 3\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 48, -0.0494, -0.1, -9\/8, 1\/10, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 59955 to the power of 1\/3, to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -10, -101, -192?\nAnswer: -283","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 12 = -3*k - 41, -2*k + b = 21. Let n = 5 - 1. Is (-264)\/k + n\/(-2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 321 = 876. Let n = y + 859. What is the highest common factor of n and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/1*(-400)\/600?\nAnswer: -10\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = g**3 + 10*g**2 + 3. Let p be n(-10). Let h(y) = -8*y**p + 1 - 21*y + 2*y**2 + 19*y - 2*y**2. Is h(-5) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1705 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(228) - -2*1*sqrt(228) - -3*sqrt(228)*3)\/((sqrt(432) - (sqrt(432) - (sqrt(432) - sqrt(432)*2))*-1)*-2)*6.\nAnswer: -2*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 114314 is divided by 38102?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4399092 to the nearest integer?\nAnswer: 2097","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.003899504 to 2 dps.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 200 + 1322221000?\nAnswer: 1322221200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-4\/3)*a*a**(2\/7))\/(a**(-1\/3)*a**3) assuming a is positive.\nAnswer: a**(-19\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 137, 0, 3.\nAnswer: 0, 3, 137","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = d + 2. Let r(b) = b + 1. Let m(u) = -i(u) - 3*r(u). Let v(f) = -9*f - 10. Let z(x) = -7*m(x) + 3*v(x). Let c be z(0). Is c at least as big as 4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 1, 35, 5, 9727 in descending order.\nAnswer: 9727, 35, 5, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -92 + 94. Suppose -g*v - 5 = 4*b + 9, -v + 3 = -3*b. Suppose x - z + 19 = -2*x, -40 = 4*x - 5*z. Is v bigger than x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -c**2 + 4*c + 9. Give j(4).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -12*r**2 + 458*r - 78. Give a(38).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 132*x**3 - 10702*x**2 + 809*x + 85. What is b(81)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w - 2*w = -5, -4*s = -w + 9 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + sqrt(1900))**2 + (sqrt(133)\/sqrt(7)*2)**2 + -1)*1.\nAnswer: 20*sqrt(19) + 1976","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 8867987 to the power of 1\/3, to the nearest integer?\nAnswer: 207","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2\/6 + 2306\/(-6). Find the common denominator of 3*2 + -54*(-84)\/(-18144) and (-1)\/3 - (-268)\/b.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*s**4 - 20*s**3 + 76*s**2 - 28*s - 12 = 0. Calculate s.\nAnswer: -3, -1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -40203 (base 9) to base 10\nAnswer: -26409","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (2 + 0 + (sqrt(475) - (sqrt(475) - 3*(2*sqrt(475) + sqrt(475)))) + sqrt(475) + -2)*2)**2.\nAnswer: 400*sqrt(19) + 190004","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -u**2 + 4*u + 17. Let c be p(7). Which is greater: -5 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -2, -5, -16, -41, -86, -157, -260, -401?\n\"Answer: -p**3 + 2*p**2 - 2*p - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:44 AM and 4:59 PM?\nAnswer: 315","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = w + 2. Let c(q) = -q + 1. Let a(k) = -4*c(k) + x(k). Let t be a(1). Let j(y) = -y + 0*y**2 - 2*y**2 - y**2 + y**2. Give j(t).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5\/618 >= -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide 609294 by -11.\nAnswer: -609294\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**16*m*m\/(m*m**(-13\/7))*m*(m*m**13)\/m**42 assuming m is positive.\nAnswer: m**(-57\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 5*j**2 + 2*j + 2. Let y be (0 - -65)\/(7\/(0 - -35)). Let n = y + -323. Let l(b) = 9*b**2 + 5*b + 5. Calculate n*l(s) - 5*m(s).\nAnswer: -7*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25*r**2 - 25*r + 26*r**2 + 23*r.\nAnswer: r**2 - 2*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3, -0.004, 0.3, -140?\nAnswer: -140","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 1, r: 1, z: 4, g: 1, s: 1}. Give prob of picking 2 z and 1 o.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 2288036 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11*a + 3*a + a + (3*a + 0*a - 2*a)*(0 + 2 - 3))*(3 + 0 - 1).\nAnswer: -16*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.2, 36, 1\/4, 50\/3, -2, -3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -1017*g + 1912. Calculate d(2).\nAnswer: -122","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**7)**(-4)*o\/((o\/(o**(2\/11)\/o*o)*o)\/o*o*o)*o**(-7)\/o assuming o is positive.\nAnswer: o**(-416\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -115083.144 rounded to the nearest 10000?\nAnswer: -120000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 3\/701320 and -157\/11820.\nAnswer: 2103960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1753 + -1701. What is the greatest common divisor of r and 1846?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*a - 20582 = -z, -4*a + z = -14350 + 632. What are the prime factors of a?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 5370454402 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 977842341.\nAnswer: 3, 7, 59, 87691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4 - 2. Suppose 0 = -3*w - 9, 9*o + t*w = 4*o + 19. Sort o, -1, -4 in decreasing order.\nAnswer: o, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in 2.1, 2\/225, -4, -813, 4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.06 + 1.94. Let r = -1.5 + c. Sort -2, r, -4 in descending order.\nAnswer: r, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 240 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 10 = -t - t, -15 = -5*i - 2*t. Let v(z) = -8*z + 5*z + i*z. Let b(q) = 18*q**2. Give v(b(l)).\nAnswer: 36*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1905 - -1004. Let y = -900.999617 - g. What is y rounded to 4 decimal places?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -206*i**2*y**2 - 3*i**2*y + 3*i**2 - y - 14 wrt y.\nAnswer: -412*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 4\/5, -113226, 0, 41\/3, -1\/4?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**7*(j*j**(-2\/5)*j)\/j)\/(j\/(j*j**(2\/15))*j*j*j**1))**(-8) assuming j is positive.\nAnswer: j**(-568\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) be the second derivative of f**7\/630 + f**6\/90 + 2*f**4\/3 - 9*f. Let g(y) be the third derivative of p(y). Factor g(o).\nAnswer: 4*o*(o + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16336694 a multiple of 61?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3626*l - 3973?\nAnswer: 3626","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*w + 13*w - 357. Solve -4*s = -w + 41 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*c**3\/9 - 10*c**2\/9 - 16*c\/9 - 8\/9.\nAnswer: -2*(c + 1)*(c + 2)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 3406 divide 24506170?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 111234 and 27.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -2*w - 7 + 12*w**2 + 1 + 7 - 4*w**2. Determine j(1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 318 and 60526?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6262?\nAnswer: 2, 31, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(720) - (sqrt(720) + (-1 + sqrt(720)*-2)**2)).\nAnswer: -5762 - 96*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-50)\/6*(-3)\/16 and (-6)\/(-8) - 975\/240.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2508 = -12*c - 10*c. Calculate the greatest common divisor of 3534 and c.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*y = 3*y - 3. Let c be 12\/3*y\/(-2). What is the third derivative of v**2 - 2*v**4 + 3*v**4 + v**c wrt v?\nAnswer: 24*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v, 1 x, and 1 o when three letters picked without replacement from oxqooooovvxooqxooxox.\nAnswer: 11\/114","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -t**2 - 7*t + 11. Let r be k(-8). Suppose -2*q - r*q + 45 = 0. Round q to the nearest 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that -3*o**2\/8 - 1060065*o\/8 = 0.\nAnswer: -353355, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 547733 to the power of 1\/2, to the nearest integer?\nAnswer: 740","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 502 minutes after 10:27 AM?\nAnswer: 6:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33 = 5*j - 3*b - 8, 5*j + 25 = -2*b. Let q = -1 - j. Suppose q*l - 3*r = 23, -2*r = -5*l + 5 + 15. Solve 5*y = l*y + 3*v - 3, 0 = -5*y + v - 17 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 407029, 814069, 1221109, 1628149, 2035189?\n\"Answer: 407040*p - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + 1 + -4 + -5?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 841 - 829. What is the tens digit of 9472\/q + 21\/(-63)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/v**8)**(-1\/21) assuming v is positive.\nAnswer: v**(1\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 80*g - 932*g**2 - 44*g - 36*g - 934*g**2 + 1863*g**2.\nAnswer: -3*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that 14*v**3 + 228*v**2 + 904*v + 240 = 0.\nAnswer: -10, -6, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 13 - 9. Suppose -5*u + 4*t = -44, u - t - t - d = 0. Is u a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -83 (b) -2\/5 (c) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-4 + 20 + 5)\/(-1). Let y = p + 24. Solve y*b - 4*b - 3*o - 5 = 0, 2*b + 3*o = -1 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 6 + 0 = -3*r, y - 2 = 4*r. Solve r = -3*z + 2 + 1 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 2*g - 5. Let t(q) = -2*q**3 + 151*q**2 - 59*q - 1146. Calculate the least common multiple of h(4) and t(75).\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5 + 7. What is the smallest value in 1, u, -5\/6?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/o**(2\/7))**3*o**9\/(((o**(1\/4)*o*o)\/o)\/o) assuming o is positive.\nAnswer: o**(305\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 16) in base 6?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -180111 by 180111.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 150\/8398091?\nAnswer: 150\/8398091","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 310 minutes after 4:33 AM?\nAnswer: 9:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -39*c**2 + 6102*c + 64920.\nAnswer: -3*(c + 10)*(13*c - 2164)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2364, 4634, 6862, 9102, 11408?\nAnswer: 13834","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qiqqqpeeeqipeieqqpe. Give prob of picking 3 p and 1 q.\nAnswer: 7\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*f**2*g**2*r**2 + 36*f**2*g*r**3 - 5*f*g**3*r**3 + 6*f*g**3*r**2 + 14*f*g**2*r**2 - f*g*r**2 wrt r.\nAnswer: 216*f**2*g - 30*f*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -11*a + 2. Let t be (-25)\/(-75) + (-1)\/(-3)*-1. Let b(f) = -2 + t + 17*f + 0 + 10*f - 17*f. What is -6*b(g) - 5*c(g)?\nAnswer: -5*g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -22 - (-10 + 0 - (11 + -12))\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -9263070, -9263068, -9263066, -9263064, -9263062, -9263060?\n\"Answer: 2*w - 9263072","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3361172 and 4148.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7302.\nAnswer: 2, 3, 1217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -251*i + 15 = -250*i for i.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 37 and 841?\nAnswer: 31117","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 253 a factor of 10000?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1577713 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence en when two letters picked without replacement from {d: 1, j: 1, e: 2, n: 2, t: 1}?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-22))**10*(o**(-1\/17)\/o)\/o**(-6))**(-21) assuming o is positive.\nAnswer: o**(76776\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 35*n + 19*n - 31*n**3 + 7*n - 1 + 25*n**3.\nAnswer: -6*n**3 + 61*n - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pybhgpw. Give prob of sequence hw.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 95 + -96.1. Let y = -1.5 - t. Let b = 2.2 + -0.7. What is the second biggest value in 5, y, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -325506 and -0.2?\nAnswer: 65101.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 30.3 - 30.27. Which is the nearest to d? (a) -5 (b) 3 (c) -0.09\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 28127737*t**4 - 26447806.\nAnswer: 112510948*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -43, 0, -1, -15 in decreasing order.\nAnswer: 0, -1, -15, -43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/4 of a meter in millimeters?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) be the third derivative of 1\/10*h**5 + 0 + 0*h**4 - 1\/120*h**6 - 1\/3*h**3 + 2*h**2 + 0*h. Give t(6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.88 times -1?\nAnswer: 0.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/5 in 5\/2, 4, 18, 24, 30?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5948*v - 3471*v + 6675*v to the form p + b*v and give b.\nAnswer: 9152","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 140242 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 16950?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 57262*a - 28579*a - 28684*a.\nAnswer: -a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((2304\/12)\/24)\/((-4)\/(-1))*-19.\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4 - -3. Which is greater: 0.06 or r?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((sqrt(5) - 4*sqrt(10)\/sqrt(2)) + -2 + -1 + (sqrt(105)\/(sqrt(12)\/sqrt(4)) + sqrt(35))\/(sqrt(1008) + 1*sqrt(1008)))**2.\nAnswer: 70*sqrt(5) + 7421\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -375, 292, 935, 1542, 2101, 2600, 3027?\nAnswer: 3370","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) be the second derivative of 7*m**3\/6 - 21*m**2\/2 - 2*m + 13. Let s(a) = 20*a - 61. Let l(v) = -17*r(v) + 6*s(v). Determine l(15).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = -4*m + 18, 2*m + u + u = 2. Suppose 0*j - 2 = -2*j. Sort j, -1, m.\nAnswer: -1, j, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3\/(-6)*(124\/(-4) + 1). Suppose -5*x = 2*d - x - 26, -3*d + 2*x + b = 0. Solve 0 = -8*v + d*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 412142, 412171, 412200, 412229, 412258?\n\"Answer: 29*x + 412113","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -21*t - 16. Let v be h(-6). Suppose 5*l - 280 = -5*j, -5*j - 96 = -4*l + v. What are the prime factors of l?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 260 minutes before 7:09 AM?\nAnswer: 2:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -4*h**2 - 140*h + 9. Let q be -29 + (-6)\/3 + (-6 - -2). Determine n(q).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -y**2 - 30*y - 203. What is the remainder when 269 is divided by s(-17)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -j**3 + 3*j**2 - 3*j + 2. Suppose 3*m = -2*f + 6*f + 3, 3*f - 34 = -5*m. Let k be -27 - 3\/f - -3. Let t be ((-30)\/k)\/((-6)\/(-10)). Determine w(t).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14 = 3*f + 2*j - 4, 0 = 2*f + 4*j + 12 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 490 by 5.\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (5 - (-1 + 7)) + -4. Let n be 7 - ((-2)\/j)\/(9\/45). Suppose -s + 5759988 = 2*z - 4*s, -n*s = z - 2880020. 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 406 minutes after 5:41 PM?\nAnswer: 12:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 - 79?\nAnswer: -89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 44, 46, 48, 50, 52?\n\"Answer: 2*d + 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 3 - 2)*(3 - 5 + 3)*(2*g + 1 - 1) + 2*g - 3*g + 0*g to f*g + o and give f.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 10 = -1 + 6. Let c = -17 - -7. What is the third smallest value in -0.1, h, -3, c?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) be the third derivative of r**8\/20160 + r**7\/1680 + r**6\/360 - r**5\/60 + 3*r**2. Let i(s) be the third derivative of w(s). Factor i(p).\nAnswer: (p + 1)*(p + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -12936 - -5670. Let m = k + 145223\/20. Find the common denominator of -7\/12 and m.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23223276.\nAnswer: 2, 3, 645091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 5073115 a multiple of 59?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -7 - 2 - (0 + 1). Let s(r) be the first derivative of -r**2 + 1. Let w(y) = y. Determine j*w(n) - 6*s(n).\nAnswer: 2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/6 + ((-130)\/(-30) - 4)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -84*o + 2271. Let t be l(27). Sort t, 99, 4, -4 in descending order.\nAnswer: 99, 4, t, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 35*d + 2267. What is the remainder when h(-56) is divided by 124\/12*3*2?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 27 - (-1129)\/(-47) - (-57)\/(-19).\nAnswer: -1\/47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 2837706 = -j. Let y = -848853 + j. What is y rounded to the nearest 100000?\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 33365?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 118*r**3 + 113*r - 12 - 121*r**3 - 1994*r**2 + 751*r**2 wrt r.\nAnswer: -18*r - 2486","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1 and 100.\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 421 or 433?\nAnswer: 421","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/7, 567\/26, 2, -1\/6 in ascending order.\nAnswer: -1\/6, 2\/7, 2, 567\/26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y = 5*x + 45, 5*x = -2*y - 3177 + 3153 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 + 4101789\nAnswer: 4101788.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand u**2 + 2 + 0 + u + 2*u**2 - 2*u**2 + 3*u**2 + 0*u**2 + (1 - 2*u - 1)*(-2*u - u + 4*u).\nAnswer: 2*u**2 + u + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = l**3 - 12*l**2 - 78*l - 6. What is the hundreds digit of j(20)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -10*s**3 - 13*s - 12. Calculate d(-1).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2027, 4055, 6083, 8111, 10139?\nAnswer: 12167","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/10 of a litre?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 5302, 10252, 15202?\n\"Answer: 4950*k + 352","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6667\/16705 + -3\/3341. Which is the third smallest value? (a) 1 (b) 2\/17 (c) 0.06 (d) j (e) -2\/19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 38911 to the power of 1\/3, to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3133, 2\/3, -4, 5, -0.4, 17 in increasing order.\nAnswer: -3133, -4, -0.4, 2\/3, 5, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -229 in 0.1, -0.1, 28\/3, -3, -3\/2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 350 = -1744*t + 1719*t for t.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 212608 and 449074?\nAnswer: 302","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x - 378*x + 2179 = 12903 for x.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/30*(-75)\/(-6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 18588315?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 2, w: 3, n: 4, j: 1, i: 4, d: 1}. Give prob of picking 2 w and 1 b.\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6 - -8. Let z be 3\/(((-132)\/(-20))\/(-11)). What is the closest to 3 in -1, z, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 56 + -60 + (7 + -3 - (-95 - -11))\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 8 - -1*6\/(-2). Let x(j) = -13 - t*j**2 - 3*j + 6 + 8. Let c(b) = -2*b + b + 56*b**2 - 57*b**2. Calculate -4*c(o) + x(o).\nAnswer: -o**2 + o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-5)\/(-4)*5\/(-25). Let i = 341 + -7841\/23. Let c = 0.01 - -1.99. What is the biggest value in v, c, i?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3\/368, 2\/67, 3?\nAnswer: 2\/67","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 13*u**2 - 5*u - 5. Let n(w) = -20*w**2 + 8*w + 8. Let z(l) = l - 15. Let m be 4*6 + (-4 - 0). Let o be z(m). Give o*n(b) + 8*y(b).\nAnswer: 4*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 685.315 times 2.9\nAnswer: 1987.4135","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1313 is divided by 139?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 1100001101000 (base 2) to base 11\nAnswer: 4770","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 69929912 a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -92, -166, -214, -224, -184, -82, 94, 356?\nAnswer: 716","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 1\/4 of a millimeter?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -2. Let q(i) = i**2 + 7. Let c(j) = -2*q(j) - 7*y(j). Let g(s) be the second derivative of 0*s**2 + 1\/6*s**4 + 0 - 7*s + 0*s**3. Give c(g(w)).\nAnswer: -8*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 5 - b**4)*(-7 - b + 16*b - 8*b + 2*b - 2 + 2 + (3 - 1 - 4)*(-b - b + 0*b)).\nAnswer: -13*b**5 + 7*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -142 + 142.197. Let j = r + -0.127. Round j to 2 decimal places.\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 + 0.987?\nAnswer: 0.687","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 326*s**2 - 80*s + 39. What is the thousands digit of k(8)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9543 is divided by 222.\nAnswer: 219","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -7 - -3. Let f = 6\/203 + -472\/2233. Let r = -572.5 + 572. What is the nearest to 0 in w, r, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 3*p**2 + 4*p - 2. Suppose 0 = -5*x + 5*h - 5, -3*x + 17 = 2*h. What is the tens digit of d(x)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + 2 + 2*k**2 + (-359 + 359 - 25*k)*(632*k + 2746 - 2746) to the form j*k**2 + x*k + m and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 635 = 4*x + 5*a, 0*x - 2*x + 5*a = -325. Calculate the greatest common factor of x and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -5*r**2 - 8*r + 9. Let g(d) = d**2 - 3. Let m(w) = 4*g(w) + s(w). Let u be m(-6). What is the highest common factor of u and 171?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = t**3 - 2*t**2 + t + 1. Let u be j(2). Let g be (-2 - 3) + 0 + (8 - -37). Suppose k = -u*k + g. Solve 0 = -m + 3*n - 11, -4*m + n = 6*n + k for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7610 is divided by 2794?\nAnswer: 2022","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -7\/3? (a) -0.9 (b) -0.04 (c) 196 (d) 4 (e) 1\/3 (f) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the second derivative of 0 + 0*p**3 + 0*p**2 - 13\/4*p**5 - 43\/12*p**4 - 20*p. What is the third derivative of c(z) wrt z?\nAnswer: -390","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = v**3 - 9*v**2 + 14*v + 4. Let d be b(7). Let f be 98\/42*d\/(-14)*-6. Let a(m) = -4*m. Let q be a(-1). Solve 5*x + 5*z = f*z - 5, 2*x + 2 = -q*z for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 13*d - 1380 - 76. Let t = d - 97. Let k(x) = 9*x**2 - 5*x + 1. Let p be k(-4). What is the highest common divisor of t and p?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12\/(-8)*40\/(-12) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2811613*k**2 + 1 + 1 + 2811608*k**2 + 1549*k**3 + (2*k + k - 5*k)*(-2*k**2 - k**2 + 2*k**2).\nAnswer: 1551*k**3 - 5*k**2 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1253*m - 23*m**3 + 1253*m + 2*m**2 to the form y*m**2 + c*m**3 + q*m + f and give c.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:06 PM and 9:48 PM?\nAnswer: 342","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ggwg when four letters picked without replacement from wgggvhvwvghgv?\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 823756117 to the power of 1\/2, to the nearest integer?\nAnswer: 28701","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 334 * -2.9\nAnswer: -968.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 0.095*-44\nAnswer: -4.18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -520367069*d**2 - 619111569?\nAnswer: -1040734138*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 4*d = -20, 16 = 4*t - 100*d + 98*d. Solve -2 - 7 = t*w + g, 0 = -3*g - 15 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:06 PM and 2:36 AM?\nAnswer: 690","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 8056602 a multiple of 712?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4\/(-24)*(6 - 3)*-4. Let n(u) = u - 3. Let s be n(5). Let r(b) = -4*b + 4*b - b**k + s*b**2. Let p(t) = t. Determine r(p(h)).\nAnswer: h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that -2*f**2\/9 + 68*f + 15134\/9 = 0.\nAnswer: -23, 329","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (126\/210)\/(1*4\/5)?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5155159 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1173 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) be the first derivative of 15*r**2\/2 - 13*r + 5. What are the prime factors of a(5)?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 105 - 108. Which is the nearest to -4\/3? (a) 0.5 (b) -13 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 231 minutes before 6:04 PM?\nAnswer: 2:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 92591.\nAnswer: 53, 1747","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = p**3 - 52*p**2 - 9*p - 719. What is the hundreds digit of d(55)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 44018457?\nAnswer: 3, 7, 17, 7253","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-30)\/2035*-74*(-11)\/(-34).\nAnswer: 6\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -2*y**2 - 20*y - 42. Give d(-7).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -12120 to the nearest ten thousand.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -2*y - 35. Let b be v(-20). Suppose -d + 1 = -j, 6*d - b*j + 1 = 3*d. Solve -5*x = 2 + d for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(4\/3))**(-44)\/(g**(-1\/16))**49 assuming g is positive.\nAnswer: g**(-2669\/48)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6892*r - 6889*r = 15*z + 111, 3*r - 177 = -7*z for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1811*m + 980*m - 1248*m)*(m + 0*m + 0*m - 1)*(-4 - m + 4).\nAnswer: -1543*m**3 + 1543*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 1\/5, -15\/4, -6, 50 in ascending order.\nAnswer: -6, -15\/4, -3, 1\/5, 50","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2340453 + 21?\nAnswer: -2340432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 e when two letters picked without replacement from {e: 1, r: 3}.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = -0*g. Suppose 10*t + 52 - 132 = g. Let o(f) = f - 4. Determine o(t).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6 - (-10 + 1)) + -9 + 5.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that -8*w**5 + 78*w**4 + 364*w**3 - 330*w**2 - 104*w = 0.\nAnswer: -4, -1\/4, 0, 1, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 0.085 (b) 2 (c) -3 (d) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 9, 49, 48 in decreasing order.\nAnswer: 49, 48, 9, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is x in -2*x**3\/3 - 128*x**2\/3 - 2048*x\/3 = 0?\nAnswer: -32, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 12 and 12063933?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:22 AM and 12:46 PM?\nAnswer: 564","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(56)\/(sqrt(252)\/sqrt(4)))\/((-1*sqrt(3388))\/sqrt(7)).\nAnswer: -sqrt(2)\/33","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -54 + -162?\nAnswer: -216","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 8\/12*3*4. Calculate the common denominator of ((-11)\/4)\/(y\/80) and -47\/22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - g = -34, -276*n + 280*n + g - 72 = 0. What is the highest common factor of 5377 and n?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) be the first derivative of -w**3\/3 - 8*w**2 - 25*w + 9. List the prime factors of i(-10).\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -10124 greater than or equal to -1\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 42\/5 of a milligram?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1 + 0 - (17 + (-1411)\/85)\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 190033 is divided by 63137.\nAnswer: 622","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by -183\nAnswer: -1\/61","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2 - 2. Suppose -4*k - g + 353 = u, -4*k + 3*g - 110 = -443. What are the prime factors of 4\/(-6) + k\/9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + sqrt(1872) + sqrt(1872) + sqrt(1872) + -1 + 1)**2.\nAnswer: -360*sqrt(13) + 16873","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (-35 - -10) + 13 - -12\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-2\/5)\/v*v*v)\/v)\/v**(-3)*(v*v\/(v*v**1)*v)\/((v**3\/v)\/v*v) assuming v is positive.\nAnswer: v**(8\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-42)\/(-9) - 3)*3. Let o = c + 1. What is the smallest common multiple of o and 22?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -6*a - 4. Give p(-2).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 33.34 + -33.7. Let r = -4.26 - h. What is r rounded to 1 dp?\nAnswer: -3.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -6*l - 5. Let v(a) = -2*a - 58. Let g(t) = 3*t + 134. Let o(z) = 3*g(z) + 7*v(z). Calculate -4*i(f) + 5*o(f).\nAnswer: -f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v*v*v**(-4)*v)**(-34)\/((v**(-1)\/v)\/v**(2\/9)))**(1\/35))**(-10) assuming v is positive.\nAnswer: v**(-652\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -5*m - 21. Let v(t) = 283*t**2. What is r(v(f))?\nAnswer: -1415*f**2 - 21","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 19078, 18795, 18502, 18193, 17862, 17503, 17110?\nAnswer: 16677","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 596 and 29701362.\nAnswer: 298","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 4*l**2 - 29*l - 683. Determine t(-10).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 936?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 55*n + 6561. Let g be c(-119). Solve -5*b + 28 = r, -18*r = -g*r + b - 11 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 842133*l**4 - 3339582*l wrt l?\nAnswer: 10105596*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 - 765251*z**2 + 765244*z**2 - 3*z - 4 + z**3 in the form v*z**2 + i + b*z + s*z**3 and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*k**3 + 39550 - 39550 + k - 107*k**2 in the form x*k + l*k**2 + u + q*k**3 and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1368323686.\nAnswer: 2, 2237, 305839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -386 + 464*b - 217*b - 245*b as t + p*b and give t.\nAnswer: -386","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 8211412 and 671.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*i + 16 = -4. Sort i, 0, -3 in ascending order.\nAnswer: -3, 0, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 32 - (-2 + -15 + 9) - (2 + -2 + -1)?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 54 and 678?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -4, 24, -6, -5, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (o - 4*o + 4*o)*(7 - 56 - 16)*(0 - 3 + 1).\nAnswer: 130*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 31685780 to the nearest one hundred thousand.\nAnswer: 31700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*t - 8 + 40 = 0 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 462 - 424. Let q = -31 + j. Let t(u) = u**2 + 119. Let o be t(0). What is the greatest common divisor of q and o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 18*n**2 + 4*n. Let x(m) be the third derivative of m**4\/8 + 9*m**2 - 18*m. Calculate t(x(r)).\nAnswer: 162*r**2 + 12*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + 3*y - 174 = 444, -2*y = -12. Which is the smallest value? (a) -4 (b) 5 (c) v (d) -0.7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 14\/5 + (-2)\/(-10). Suppose 4*s - 13 = 7. Suppose -m = -5*m + 20, -r*q = -s*m + 19. What is the units digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3 + -3. Let k be ((-3)\/2)\/(((-10956)\/(-440))\/83). Let l = 3.5 - -0.5. What is the smallest value in k, h, l, -0.1?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 77331417?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -7*y**3 - y - 1. Let w(h) = h**3 - 5*h**2 - 6*h - 1. Let o = 18 - 12. Let a be w(o). What is the units digit of z(a)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 7755?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 98687355?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 505 = 749. What is the hundreds digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 10485197?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-61 - -135) + -147 + 64.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 166 minutes after 11:33 PM?\nAnswer: 2:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 14) to base 10.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 942 and 408?\nAnswer: 64056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -346, -814, -1418, -2164, -3058, -4106?\nAnswer: -5314","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*s + 4*s + 5*s + (4 + 2*s - 4)*(0 + 0 - 1) - 4*s + 3*s + 3*s)*(-4*s + 0*s + 5*s).\nAnswer: 7*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 1419236730?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*f + 984 = 5*b + 6*f, 0 = 3*b - 2*f - 590. What is the hundreds digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 147*v**2 - 73*v**2 - 72*v**2.\nAnswer: 2*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-2\/5)*d)\/(d\/d**(-1))*(d**(1\/2)*d)\/d**(-2\/11) assuming d is positive.\nAnswer: d**(31\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 83\/9358184 and 97\/1160.\nAnswer: 46790920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is v in -8*v**5 + 108*v**4 - 68*v**3 - 888*v**2 - 320*v + 384 = 0?\nAnswer: -2, -1, 1\/2, 4, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 21468477 and 2994.\nAnswer: 1497","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = 4*s - 149, -s + 2*i = -3*s + 74. List the prime factors of s.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 34*y**2 + 1 - 33*y**2 - 3 - 151*y**3 + 2 as u + j*y**3 + c*y**2 + z*y and give j.\nAnswer: -151","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3524.\nAnswer: 2, 881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*s**3 + 2*s**2 + 1885*s - 22753.\nAnswer: 6*s**2 + 4*s + 1885","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1.47 - -104.47. Is i not equal to -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c**(-2\/81))\/c**(-3\/2) assuming c is positive.\nAnswer: c**(401\/162)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*x - 786 + 382 + 395.\nAnswer: 2*x - 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 970\/(-12)*(-2)\/(-400)*5 and 13\/48.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = m**2 - m - 4. Let s be c(-3). Suppose -s*b - 2559 + 8935 = 0. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:13 AM and 1:52 PM?\nAnswer: 639","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - ((-3 - -1) + 4) - -2.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 992650.\nAnswer: 2, 5, 19853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 80834792?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -3128485*c. Let x(q) = -q**2. Determine m(x(n)).\nAnswer: 3128485*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -135 + -6491.58021?\nAnswer: -6626.58021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*q + 15*q + 10*q.\nAnswer: 28*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/28)\/(6\/(2*-12))?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 118150998 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 -5*h - 2*t + 0 = -5, -h = -2*t + 11. Which is the second biggest value? (a) h (b) -4 (c) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) be the first derivative of -3*x**4 + 2*x**3\/3 + x**2 + x - 237. What is s(-1)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -5, -2, 3, 4, -5, -30, -77, -152?\n\"Answer: -a**3 + 7*a**2 - 11*a","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 38 and 321271?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = q**2 - 4*q - 5. Let o(a) = a**2 - 3*a + 2. Let w be o(4). Let p be y(w). Solve -4 = -3*j + p*j for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -4*k + 5. Let w = 21 + -22. Let b = w + -6. Is v(b) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -63\/128 and 81\/748?\nAnswer: 23936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -5*k - 4. Let n(f) = 11*f + 9. Let q(y) = -13*a(y) - 6*n(y). Let x(g) = 2. Determine -2*q(z) - 3*x(z).\nAnswer: 2*z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1720 - 1716. What is the nearest to 11 in 0.2, 2\/5, -2, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 2719352252?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = v - 396. What is the greatest common factor of 9 and v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) be the second derivative of 3*s**4\/4 + s**3\/3 + 3*s**2\/2 - 1162*s. Give l(-2).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 741*u - 4 - 109*u + 637*u.\nAnswer: 1269*u - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/3 at most as big as 1.423?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 z when two letters picked without replacement from {m: 1, u: 1, z: 1, a: 1, o: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.3, -0.848, 1, -1?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0222714 to 3 dps.\nAnswer: 0.022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1 (b) 1\/8 (c) 36 (d) 2\/3 (e) 0.04 (f) 0.053 (g) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -z + 3. Let j(i) = 4*i - 9. Let x(k) = -j(k) - 3*n(k). Let u(p) = 371*p**2 + 11. Let m(v) = 74*v**2 + 2. Let b(h) = 22*m(h) - 4*u(h). Give x(b(d)).\nAnswer: -144*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 678541?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 1907535?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = m**2 - 8*m - 2. Let r be s(9). Let o(h) = -h + 5 + 3*h + r - 13. Determine o(4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-60)\/(-18))\/(41340\/1908).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 49\/1514 and -107\/7570?\nAnswer: 7570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 0.3 (b) 0.17 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 56 minutes after 4:34 AM?\nAnswer: 5:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -530755 + -2?\nAnswer: -530757","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 14*o**2 - 2*o**3 - 11*o**2 - 5*o**2 + 1 - 2*o in the form a*o**2 + m*o**3 + q + w*o and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-18)\/4*(-7)\/((-252)\/(-16)). Solve -q*k + 0 = -6 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 951 a factor of 4141605?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4102?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 2\/11, 6, -1, -2, 9, -12?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48*r - 35*r + 257040 = -56*r. Is 26 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/8*2*3\/15?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 0\/(-7 + 3 + 5). Solve m - 77 + 74 = w for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -2*i + 38. Determine l(18).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -6*i**3 + 697*i**2 - 99*i - 1972. Calculate f(116).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*q**2 - 4*q**2 + 11 - 6*q**4 - 3*q**3 - 10 as s*q**3 + o + l*q + d*q**4 + b*q**2 and give d.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -5, -1156, 5, 0, -16 in descending order.\nAnswer: 5, 1, 0, -5, -16, -1156","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1113536 - 1?\nAnswer: -1113540","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r = -4*r. Let b = -3 - -7. Suppose r - b = -f. Is 4 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 14*j - j + 231 - 204. Is f(6) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3318 - 376. List the prime factors of l.\nAnswer: 2, 1471","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -143\/4590 and -19\/5400.\nAnswer: 91800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 514 + -510. Are i and -5.26 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 w and 1 j when four letters picked without replacement from wjjwjjjjwjjj?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0018261841 rounded to 5 dps?\nAnswer: -0.00183","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2*(540\/(-200))\/27*5*-81.\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = -5*j - 110, -2*h + 9 = -j + 6*j. Let s(k) = 14*k**3 + 3*k**2 - 14*k - 17. Let l(v) = -5*v**3 - v**2 + 5*v + 6. Determine h*l(b) + 6*s(b).\nAnswer: -b**3 + b**2 + b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -416 + -1104264?\nAnswer: -1105013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 50729820.\nAnswer: 2, 3, 5, 659, 1283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-30)\/(-36))\/((-690)\/(-207)). Let c be ((-2)\/16)\/(2\/4). Let d = 111 - 557\/5. What is the smallest value in w, d, c?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = -1 + 9. Let f = -4 + y. Suppose -f*u = -3*a + 52, 2*u - 3 = -5. Solve v + a = 3*s - 3*v, 5*s = -5*v - 20 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2004\/889 or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 33143, 36453, 39763, 43073, 46383, 49693?\nAnswer: 53003","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1\/6 (b) -286 (c) -0.1 (d) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 = 15*n - 60 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h**(1\/7)*h*h)\/(h\/(h*h**(-2\/29)))*((h*h**12*h)\/h)**(2\/49))**40 assuming h is positive.\nAnswer: h**(204880\/1421)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 + 16 = -2*o. Suppose 0 = -5*l - 2*c + 130, c + 17 + 87 = o*l. Calculate the least common multiple of l and 16.\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 plus 64.159?\nAnswer: 63.959","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -682, 25 in descending order.\nAnswer: 25, -4, -682","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(8) + 3 + 1 - (-1*sqrt(98) + sqrt(98) + (sqrt(2) - sqrt(4)\/sqrt(2) - sqrt(2)) + 4))**2.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -38614.43 to the nearest one thousand.\nAnswer: -39000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2133100 - -3?\nAnswer: 2133103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/5 of a centimeter in micrometers?\nAnswer: 36000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 2.018*0.4\nAnswer: 0.8072","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3810 is divided by 544.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -2*p**3 - 26*p + 10. Let w(g) = -g**3 - 13*g + 4. What is 5*w(u) - 2*z(u)?\nAnswer: -u**3 - 13*u","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 39344 and 1367204?\nAnswer: 5468816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1\/(-8)*2*-2. Suppose 7*d = 4012 - 4033. Which is the second smallest value? (a) 0.2 (b) d (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3432 and 13751232.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = j**3 + 109*j - 313. Calculate v(3).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 559, 564, 569, 574?\nAnswer: 579","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) be the first derivative of -29*j**2\/2 + 10*j - 1. Let i(u) = u**3 + 3*u**2 - u - 6. Let h be i(-3). What are the prime factors of w(h)?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3.547 * -0.5\nAnswer: -1.7735","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*t**5\/7 - 36*t**4\/7 + 60*t**3\/7 - 4*t**2.\nAnswer: 4*t**2*(t - 7)*(t - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(176) - (-1 + sqrt(176)))*-1)**2 - (-1*sqrt(3520))\/sqrt(5))*2.\nAnswer: 2 + 16*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) be the first derivative of -3*h**4\/4 + 5*h**3\/3 - 5*h**2\/2 - 5*h - 52. Let s(i) = i**3 - 2*i**2 + 2*i + 2. Determine 2*j(p) + 5*s(p).\nAnswer: -p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2693 is divided by 193?\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1170 = -449*t + 579*t for t.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 24 (base 8) in base 4?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 565000 rounded to the nearest 100000?\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*z + 4*z - z + (-3*z + 4*z - 2*z)*(0 + 6 - 4) + 0*z - 2*z + 4*z)*(0 + 0 + 2)*(3 + z - 3).\nAnswer: -4*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -4*g - 43. Calculate v(0).\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 75 and 348015?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3 - 18*c**2 + 2 - 1 with respect to c.\nAnswer: -36*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 0 - 4)*(-17*u**3 + 6*u**3 + 27*u**3)*(0*u**2 - 4*u**2 + 5*u**2).\nAnswer: -32*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -79\/272 and -57\/1187468.\nAnswer: 80747824","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -61 - -61. Suppose 2*d - 7*d - 1410 = v. Let p = d - -533. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -1*((-2)\/9 + 375\/(-135)). Solve -2*t = -p*s + 5, -9 = -0*t + 4*t - 5*s for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -593488 by 42392.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.93 times -9.9292?\nAnswer: 9.234156","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(448) - (sqrt(448) + -1 + -1))*3*-1*2)**2.\nAnswer: 2304","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 71821.25 tonnes in kilograms?\nAnswer: 71821250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-27)\/(-6))\/(-3))\/((3735\/(-120))\/((-49)\/(-98)))?\nAnswer: 2\/83","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 445 is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*c - 4*y - 8, -c + 2*y = -0*y - 12. Suppose -2*x - 6 = -c*x. Solve 2*j + 5 = -x for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 4\/15682653 and 44\/307503.\nAnswer: 15682653","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 q when two letters picked without replacement from cnuqnbhh.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*z**2\/2 + 3710*z - 7410.\nAnswer: -5*(z - 1482)*(z - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -52760084*i*z**3 - 63*i*z**2 - 4*i - 53818*z wrt z?\nAnswer: -316560504*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 52, 102, 148, 190, 228, 262?\n\"Answer: -2*t**2 + 56*t - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2.0689 - -0.0689. What is the closest to m in 0.1, -3, 1?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 27 and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3819353 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*d + 3705 = 3909 for d.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 53783441 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 732085627?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.1 + -0.9. Let t = w - -0.99. Let z = t - -2.01. What is the third biggest value in -1, -4, z?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-36)\/(-16))\/1 - (-3)\/(-12). Suppose -z*f + 348 = f. What is the tens digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z**4\/4 - 40*z**3 - 15155*z**2\/4 + 199205*z\/2 + 103350 = 0.\nAnswer: -53, -1, 26, 60","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (27\/(-216))\/((-2)\/32). Let z be (15 - 13) + 11 + k. Calculate the highest common divisor of z and 30.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -268422062520 + -2510?\nAnswer: -268422065030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 69, 60, 41, 6, -51, -136, -255, -414?\nAnswer: -619","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11 (base 4) to base 14.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 3*p = -0*j - 3, 3*j - 43 = 4*p. Let o = 2 - -1. Suppose b + b = o*b. Solve j*w - 4*w = b for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -5*l - 2. Calculate the lowest common multiple of l and 584\/32 + 2\/(-8).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 52\/5 of a litre in millilitres?\nAnswer: 10400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 5721135713 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(500)*2)**2 - (sqrt(405) + 1) - (sqrt(10)\/(-1*sqrt(162)))**2)*-1.\nAnswer: -161914\/81 + 9*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 10*z + 2*k + 44, 11*z = 16*z - 10*z + k - 18 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1 + -1. Suppose 4*i + 2*v - 22 = b, 2*v + 9 = 2*i - 11. Solve 5*l - i = 3 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 21*i + 9*i + 4260. Let m = 771 + i. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3788 + 208341\/55. Which is smaller: 132 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -7, -0.93, 2\/11, 0.22?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 134300 (base 6) in base 8?\nAnswer: 30534","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2082 - -212?\nAnswer: 2294","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 4599, 9567, 14535, 19503?\n\"Answer: 4968*s - 369","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: What is 2278\/(-121873) + 185\/4173?\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 111, 116, 123, 132, 143, 156, 171?\nAnswer: 188","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*f + 0*f + 377675 = 4*f. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 300535248 to the power of 1\/3, to the nearest integer?\nAnswer: 670","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h + 7*h - 5*y - 9 = 0, 3*y + 19 = -h for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = -2*j - j + 15, -2*j + 6 = 0. Let w be 26\/(-8) - l\/4. Is (-111)\/(-2)*w\/(-6) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 182118?\nAnswer: 2, 3, 127, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -y + 10. Let x = 43 - 37. Let l be g(x). Factor 5 + 6*t**2 - l + 0 - 3*t**4 - 4.\nAnswer: -3*(t - 1)**2*(t + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) be the first derivative of 0*l - 6 + 3\/2*l**2 + 2\/3*l**3. Find the second derivative of u(n) wrt n.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 218 - 3*j**3 + j - 5*j**3 - 72 + 6*j**3 to the form q*j**3 + z*j**2 + s*j + i and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -o**2 - o. Let r(w) = 5*w**2 - w - 2. Let l(m) = 2*q(m) + r(m). Let j be l(3). What is the highest common divisor of j and 48?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 408 divided by 34?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 2\/125 of a litre?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2101202 - 11100112020?\nAnswer: -11102220222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 6 + -5 + 1*2. Let j be 60\/(-15) + -1 + 25\/5. Solve 13 = -5*d + r*y, 4*d + 2*y + 22 + 6 = j for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0011461069 rounded to 6 decimal places?\nAnswer: 0.001146","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = r - 1. Let y(b) = 7*b - 4. Let d(w) = 6*w - 3. Let z(p) = -3*d(p) + 2*y(p). Calculate -3*x(n) - z(n).\nAnswer: n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -5980350.8 to the nearest 100000.\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -1 + (-3 - -146)*1. Suppose 0 = 5*s + 7 - m. Suppose s + 45 = 2*w. What are the prime factors of w?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 902 plus 20338585.16?\nAnswer: 20339487.16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (((-630)\/(-2))\/(-3))\/((-6)\/6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*x + 5*s + 1, -5*x - 2*s + 17 + 0 = 0. Solve -x*m + 0 = 3 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = m**2 + 3*m - 12. Let n be h(-8). Is 10*(-7)\/(n\/(-19174)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 900*b**4 + 21175*b**3 - 35*b**2 - 4*b - 32417?\nAnswer: 21600*b + 127050","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*f - 16*f**2 + 25 + 8*f**3 + 21*f**2 - 26 + 9*f**3 - 2*f**3 - 34*f**4 in the form n*f**3 + b + i*f + s*f**4 + z*f**2 and give n.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/(f*f*f**(4\/5)*f*f)*f)**(-3\/8)\/(f**(-9)*f*f*f**(-8)) assuming f is positive.\nAnswer: f**(321\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5755 = 3*m + g, -1062*m - 4*g - 9569 = -1067*m. What is the highest common divisor of 71 and m?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13694?\nAnswer: 2, 41, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -32*g. Let q(h) = 3255*h**2. What is q(z(o))?\nAnswer: 3333120*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 729595*f**3*h**3 - 28*f**3*h**2 - 2*f**3 - 4*f**2*h**3 - 17*f**2*h - 5*f*h**2 - 884*f*h wrt h.\nAnswer: 4377570*f**3 - 24*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -4 + (5 - (4 + -2)) + 2\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 52586101*r**2 - 26293054*r**2 + r**3 - 26293047*r**2.\nAnswer: r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) be the first derivative of -g**3\/3 + 5*g**2 + 10*g + 1. Let j be w(11). Put 2, j, 5, -2 in descending order.\nAnswer: 5, 2, j, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 16\/75 and -85\/24.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.01 and -1.62019.\nAnswer: 0.0162019","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p**3 + 28422*p**2 + 85287*p + 56862 = 0. Calculate p.\nAnswer: -2, -1, 9477","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 592 minutes after 9:20 PM?\nAnswer: 7:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8851 is divided by 66?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 43 - 43.41. Let o = u - 0.39. Which is the second biggest value? (a) -4 (b) o (c) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 214756571?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 704670 and 134142.\nAnswer: 1698","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from byybyymhy. Give prob of sequence byhm.\nAnswer: 5\/1512","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:20 PM and 11:23 PM?\nAnswer: 423","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 10 and 670.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/21 (b) 4 (c) 0.03821 (d) 61\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -205 + 207. Let u(b) = -33*b**a - 17*b**2 + 47*b**2. Let f(y) be the first derivative of -11*y**3\/3 - 1. What is f(u(i))?\nAnswer: -99*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 3129937 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of l**2*w**2 - 4102941*l**2 - 4*l*w**2 + 34541*l*w + 5*w - 50 wrt w.\nAnswer: 2*l**2*w - 8*l*w + 34541*l + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 5 + 1)*((3 - d - 3)*(5 + 0 - 4) + 2 - d - 2 - 2*d + 4*d - d)*(2 + 1 - 12)*(953*d**3 - 1498*d**3 - 1279*d**3).\nAnswer: 49248*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*k - 4*c - 97 + 129, -3*c + 30 = -5*k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor f**2\/3 + 840*f + 529200.\nAnswer: (f + 1260)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 7, e: 1}. What is prob of picking 1 e and 2 f?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = 2*p + 2*h - 14, -2*p + 12 = 4*h. Differentiate 3 + 4*r**p + 4*r**3 - 4*r**3 wrt r.\nAnswer: 16*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 90 and 1440?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 74 - 71. Solve 3*b + 17 = -g, -q*b = 3*g + 24 + 3 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 times 54.34604?\nAnswer: 163.03812","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:01 PM and 12:59 AM?\nAnswer: 418","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:23 PM and 8:23 PM?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33 - 13 = f - 4*p, 5 = -5*p. Suppose d - 2 - f = 0. Calculate the remainder when d is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13\/15, -6\/11, -0.1 in decreasing order.\nAnswer: -0.1, -6\/11, -13\/15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -36 in -0.1, 1\/4, -5\/4, 0, -1\/1074?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + ((-18 - -16) + (9 - 7) - -2 - -56)?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 25*q**4 - 935*q**3 + 2136*q**2 - 1260*q.\nAnswer: q*(q - 35)*(5*q - 6)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -100554 - -177815. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 10342?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -9*n. Let a(v) = -8*v. Let d(y) = 3*a(y) - 2*t(y). Let s be d(3). Calculate the common denominator of 9\/34 and (516\/s)\/(16\/(-6)).\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2 + 0. Suppose -p*s + 24 = -0*s. Suppose -2*f - f = -s. Solve 2*o = 2*z - 8, -z + 4 + 15 = -f*o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w - 32 = -4*r, 5*w - 677*r = -680*r + 24 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Product of -11.0372208 and 0.3.\nAnswer: -3.31116624","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 36775968*j**3 - 64650754*j - 1.\nAnswer: 220655808*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 159*l - 8421205 = 94*l. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/10*(-5 - (-1 + 98\/(-22))).\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -m - 6. Let z be ((-5)\/(-10))\/(1\/(-10)). Give g(z).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -6*s + 3. Suppose 4*y + 12 = -5*j, 7*y - 2*y + 15 = 5*j. What is the least common multiple of z(-3) and (y\/5)\/(30\/(-450))?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jvjvvv. What is prob of sequence jvvj?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = s**3 + 16*s**2 - 6*s + 25. Calculate f(-17).\nAnswer: -162","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -189*g**3 + 7*g**2 - 95*g + 174. What is u(2)?\nAnswer: -1500","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -167697072 divided by 19692?\nAnswer: -8516","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qquu when four letters picked without replacement from {u: 5, q: 8}.\nAnswer: 28\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 107986 + -107984. What is u in -4\/7*u + 4\/7*u**3 - 2\/7*u**4 + 2\/7*u**i + 0 = 0?\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 76 + -67 + 70 - (1 + -30).\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 28 = -5*n, 2*n = 7*b - 3*b. Is 14 a factor of 56*((-22)\/8 - n)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 1, x: 2, b: 1, c: 2}. Give prob of picking 1 c and 2 x.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -b**3 + 4*b**2 - b + 6. Let o be s(4). Suppose -144 = -o*y - 0*v + 4*v, -v = 4*y - 333. Calculate the remainder when y is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8 - (-5 + 5 + -2)) + 21 + -16.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 542, 456, 370?\n\"Answer: -86*o + 628","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 9a - 11?\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 403 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 543, 828, 1113, 1398, 1683?\n\"Answer: 285*u + 258","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 32290515 divided by -2?\nAnswer: -32290515\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 38\/6 + (-3)\/9. Suppose -7*f = -r*f. Suppose 3*t - 7*t + 76 = f. List the prime factors of t.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 149046, 149094, 149174, 149304, 149502, 149786, 150174?\nAnswer: 150684","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) be the first derivative of 13*f**2 - 3*f + 1. Suppose -2*n - 4*a + 10 = -7*a, 5*a = -10. Is z(n) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 73\/6 and -54\/13.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -21 + 33. Suppose f - p = -3*f. Suppose -l - f*l = -8. Does 2 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l\/(l*l**(-31)\/l))\/l)\/l**(3\/14)*(l*l\/((l*l*(l\/(l\/(l*l**(-7))))\/l)\/l))\/l**(3\/4))**1 assuming l is positive.\nAnswer: l**(1065\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/4)\/((-4)\/(96\/(-4)))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 96 and 18?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1)\/(-3) + 8\/3. Let w be (-2)\/1 - 2*-3. Suppose 25 = -t*g + w*g. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 21\/16513204 and -1\/140180.\nAnswer: 82566020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, x: 4, e: 1, n: 1, w: 1}. What is prob of picking 1 w and 1 n?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 150754, 303220, 455666, 608080, 760450, 912764, 1065010, 1217176?\nAnswer: 1369250","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 4*k**3 - 2*k**2 + 2*k + 2. Let v(j) = -21*j**3 + 11*j**2 - 11*j - 9. Let r = -1121 - -1132. Determine r*w(g) + 2*v(g).\nAnswer: 2*g**3 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 12689 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 42 - -9. Let i = 42428 + -42377. Calculate the highest common divisor of i and y.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -38845 - -38922. Put 4, 5, 0, x in ascending order.\nAnswer: 0, 4, 5, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(15)\/sqrt(45) - sqrt(528)\/sqrt(11) - (-2*sqrt(75) + 0 - (-3 + -2*sqrt(75))).\nAnswer: -11*sqrt(3)\/3 - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5811 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -k**3 + 42*k + 2. Let u be h(0). Let a(b) be the first derivative of 19\/2*b**u + 0*b + 10 + 19\/3*b**3. What is the second derivative of a(d) wrt d?\nAnswer: 38","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7 + -27 + 0)\/(4*(-1)\/(-2)).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 7*p + 2. Let i = 0 + 3. Suppose -6 = -k - i*a, 0 = 4*k - a + 22 - 7. Let w(h) = 1. Let r(b) = k*w(b) - z(b). Differentiate r(x) wrt x.\nAnswer: -7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 7, d: 7}. What is prob of sequence dhh?\nAnswer: 7\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -7 - (-1360 - (-32)\/(-4)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -l**2 - 36*l - 82. Determine y(-10).\nAnswer: 178","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1769779 and 4254569?\nAnswer: 5071","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 8*k + 3. Let m be y(4). Let q = m + -23. Suppose 4*l = 4*v - 28, -4*v + 0*l = 4*l - q. Calculate the remainder when 19 is divided by v.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7 + -4. Suppose 0 = -q*r - 0*r + 33. Solve 3*d + 4*t + r = 0, 0 = 5*d - t + 2*t + 24 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -3*(2 + (-20)\/12) + 10. Suppose 5*q + 3*v = 24 + 14, v + 27 = 4*q. Solve 0 = -4*t + s + q for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 (base 7) to base 11\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (3\/(-2))\/(9\/12). What is the units digit of a\/(4\/(-86) - 0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - (-11 + (-15 - (4 + -11)))) + -11.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -f**2 + f. Let l(t) = 2*t**2 + t - 1. Let r(h) = l(h) - 2*n(h). Give r(-1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2202140 and 13390.\nAnswer: 1030","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -84 - -307. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 3*l**2 + 20*l + 36. Let u be r(-4). Let i(j) be the third derivative of 0*j + 0 + u*j**2 + 1\/12*j**4 + 0*j**3. Determine i(-4).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = u**2 - 5*u + 1. Give l(-6).\nAnswer: 67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 274.8704 millennia to centuries.\nAnswer: 2748.704","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 3*x + x = -188, v - 3*x = 192. Suppose 3*y = 11*y + 3064. Let r = -366 - y. Calculate the greatest common factor of r and v.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 16639\/6840 + -13\/1710. Find the common denominator of 121\/1640 and g.\nAnswer: 1640","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 1.4 (b) -4 (c) -2 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(21)\/(sqrt(3)*-1*-6).\nAnswer: sqrt(7)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 4*n**2 + 16*n + 26. Let v(k) = -3*k**2 - 14*k - 25. Let h(x) = 4*p(x) + 5*v(x). Let d be h(9). Calculate the greatest common factor of d and 114.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4794, 4793, 4790, 4791, 4802, 4829, 4878?\nAnswer: 4955","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of a**2*n**3*x + 850*a**2*n**2*x + 2*n**3 - 441*n - x - 1 wrt a?\nAnswer: 2*a*n**3*x + 1700*a*n**2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (3 + (-36)\/8)\/((-5)\/10). Find the second derivative of -10*m + 3 - 2*m**2 + m - 4 - m**r - 6*m wrt m.\nAnswer: -6*m - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = s - 5, 5*s + 2430 = 2*n + 7. Does 24 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1471311361?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 304 minutes before 11:06 AM?\nAnswer: 6:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 12 - 3*g**2 - g + 4*g**2 + 0*g. Let x be w(0). Solve -13 - x = 5*t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 27 + (-28 + 33)*(-1 - 1).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) be the first derivative of a**7\/2100 - a**5\/100 - a**4\/30 - a**3\/3 + 7*a + 87. Let v(j) be the third derivative of g(j). Factor v(o).\nAnswer: 2*(o - 2)*(o + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor r**2 + 304*r + 604.\nAnswer: (r + 2)*(r + 302)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -2 from 419152.38.\nAnswer: 419154.38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 559407 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -1778, 5, -4, -9, 0 in ascending order.\nAnswer: -1778, -9, -4, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(16\/5)\/j)**6*(j**(-3\/35))**(11\/5) assuming j is positive.\nAnswer: j**(2277\/175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a*a**(1\/8))\/(a\/a**0))**(-10)\/(((a\/a**(-1))\/a)**(-14))**(-49) assuming a is positive.\nAnswer: a**(-2789\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(30\/5)*(-36)\/21.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 3*s = -26, 25*s - 21*s = 0. Find the third derivative of -1539*y**5 - p*y**2 + 71*y**2 + 1582*y**5 wrt y.\nAnswer: 2580*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*h - 4*h - 5*h)*(1 + 2*h - 1)*(-16 + 4 + 3 + (10 + 8 - 6)*(3 + 2 - 6)) in the form q*h**2 + u*h + c and give q.\nAnswer: 210","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 35201986049 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pd when two letters picked without replacement from {r: 2, w: 2, f: 1, k: 11, d: 2, p: 1}.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 10.094 + -10. Let y = v - 0.1. Let c = 8.206 + y. What is c rounded to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (144*q**3 + 1262 - 1262)*(q - 5*q + 2*q + (-2*q - 1 + 1)*(0 - 3 - 1))*(0 + 0 - 2).\nAnswer: -1728*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -5*u**2 - u + 7. Let y(z) = 24*z**2 + 4*z - 34. Give 14*c(n) + 3*y(n).\nAnswer: 2*n**2 - 2*n - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -27232 + 27231.999923352. What is y rounded to six decimal places?\nAnswer: -0.000077","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(9)\/(-4*sqrt(75)))*2.\nAnswer: -2 - sqrt(3)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -85, -309, -683, -1207, -1881, -2705?\nAnswer: -3679","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 26*j**2 + 45*j - 11. Let w(o) = 5*o**2 + 9*o - 2. Let t(k) = -33*w(k) + 6*x(k). What is the second derivative of t(l) wrt l?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 978.994kg?\nAnswer: 978994","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o = 2*j - 6, 5*o - 8*o + 3*j - 3 = 0 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3\/7, -1\/97, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 3370?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 86 + -85.999872. Round c to 5 decimal places.\nAnswer: 0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 6\/21 + 20\/(-2240)*-836. What is the nearest to d in 4, -1\/4, 5, 0.5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 + 12 = 3*l. Suppose 0 = 3*n - 6, c - l = n - 4*n. List the prime factors of c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 884439?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2176\/8*(-13 + 15). Calculate the greatest common factor of 238 and q.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = c - 60. Let d = c - -21. Let k(h) = 10*h**3 + 2*h**2 - 1. Calculate the least common multiple of k(d) and 5.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1\/3*45\/(-5). Let c(h) = -h - 3. Determine c(b).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(68) + 3)*-6.\nAnswer: -12*sqrt(17) - 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/(24\/(-9))*(-24)\/36. Let v(p) = p**3 + 5*p**2 + 2*p + 2. Let n be v(-3). Which is the second biggest value? (a) 5 (b) w (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = q**4 - q**3 - q**2. Let b(n) = -7*n**4 - 13*n**3 + 47*n**2 - 25*n. Let d(z) = b(z) + 2*k(z). Factor d(m).\nAnswer: -5*m*(m - 1)**2*(m + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -2*-2*1\/2. Suppose n*h = -h - 3. Let w be (-2)\/h - (0 - -1). What is the highest common factor of 8 and w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2949120 divided by 18432\nAnswer: 160","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 88668 to the nearest integer?\nAnswer: 298","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((1 + 1 + 0)*(-2*l - 3 + 3) + l - 3*l + 4*l)*(3 + 2*l - 3)*(-3*l - 9*l + 6*l)*(3*l - 4*l - 2*l) to t*l + b*l**2 + u*l**3 + k*l**4 + i and give k.\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -55 (base 10) to base 3\nAnswer: -2001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) be the third derivative of 0*h - 1\/12*h**4 + 13\/6*h**3 - 184*h**2 + 0. Let s(r) = -r + 7. Calculate -7*s(c) + 4*w(c).\nAnswer: -c + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-5)\/3 - -2)*9. Suppose 20 = -4*g, q*f - 2*f + 3*g = -13. Let r(c) = 2 - 2 + 2*c**f. Let u(a) = a. Give r(u(p)).\nAnswer: 2*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) be the third derivative of 2*f**3 - 29*f**2 + 0*f - 17\/12*f**4 + 0. Does 31 divide r(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve y - 3*y = -8*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -15 - -20. Let u be (-10)\/(-25) - (-5)\/((-25)\/(-3)). Solve 11 = l*t + u for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1*-5*(-16)\/(-10). Let u = 13 + m. Suppose 3*h - 4*k = -h + 20, k = 4*h - 26. Calculate the remainder when h is divided by u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 460 (base 16) in base 8?\nAnswer: 2140","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 7901 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 155694?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (140*1\/(-2))\/(11\/((-11)\/2))?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-r**2 - 1 + 1)*(4*r**2 - 4*r**2 + 2*r**2) + (-1 - 11*r + 1)*(-3*r**3 + 2*r**3 - r**3) in the form q + x*r**3 + g*r**4 + p*r + d*r**2 and give g.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -87082223 + 87*r**3 + 231*r**3 + 87082223 + 1096*r**3.\nAnswer: 1414*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a gram in milligrams?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 33*j + 69*j - 23*j)*(-13 + 4 - 5).\nAnswer: -182*j + 14","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = -3*c + 31068, 44*y - 40*y = -5*c + 51766. List the prime factors of c.\nAnswer: 2, 5179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = 4*u + 7. Sort -7, 5, u in increasing order.\nAnswer: -7, 5, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k - 340 = 3*g, -4*k - 272 = -1329820*g + 1329823*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -3*c**2 - 22*c - 7. Give n(-7).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1779*s - 28 = -2*i - 1783*s, 5*i = 4*s for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5.76 - 0.24. Let o = 12.6 + -13.1. What is the third biggest value in -0.3, b, o, 2\/7?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by 243373.\nAnswer: -2\/243373","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -14 + 17. Suppose 0 = -5*g - i - r, 0*g = g + 3*i + 9. Suppose g = 2*f + f - 900. What is f rounded to the nearest 1000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 4040?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -p**3\/4 + 8767*p**2\/4 - 19201915*p\/4 - 57684675\/4.\nAnswer: -(p - 4385)**2*(p + 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -61 + 532. Let d = u - 271. List the prime factors of d.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 2241*b**3 + 2*b**2 - 18*b + 34. Let t be f(-15). Let p = 3002621 + t. What is p rounded to the nearest one hundred thousand?\nAnswer: -4600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(153) + sqrt(153) + -4 + -4 + 3 + sqrt(153) + -2 + 1)**2.\nAnswer: -108*sqrt(17) + 1413","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 1135884, 1135884, 1135882, 1135878, 1135872?\n\"Answer: -y**2 + 3*y + 1135882","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = -4*o + 31, -2*z + 12 = o + 2. Sort -3, 2, o in increasing order.\nAnswer: -3, 2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 3*v**2 - 29*v - 1. Suppose 8*p - 7*p = -2*n - 56, 0 = 4*n - 8. Let b = -45 - p. What is the units digit of s(b)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (8 - 2)\/(33 - -1). Let d = 49\/85 - k. Suppose -4\/5*w**2 + d*w**5 - 2\/5 + 6\/5*w**4 - 6\/5*w + 4\/5*w**3 = 0. Calculate w.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -5\/526911 and -125\/451638.\nAnswer: 3161466","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**1)**49\/(l**0)**(-13\/5) assuming l is positive.\nAnswer: l**49","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 152446 and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9 - (-1 - (6 + 39))) + (35 - 43).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 55*d - 53*d - 60. Is 4 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 176 is divided by 12?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6275 is divided by 1027?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -243 divided by -3?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2272 and 1562.\nAnswer: 24992","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11110 - 1001?\nAnswer: 10101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 5 + -5085508?\nAnswer: -5085503","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - 5*p = -2474, 0 = 8*r - 7*r + p - 619. Solve 4*m + r = 637 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -86 - -122. Calculate the common denominator of 73\/12 and (39\/i + -1)*-178.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2547, 1\/2, -0.24?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2032 + -2019 + (2 - -9)?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -q**3 - 71*q**2 - 5*q + 410. What is the smallest common multiple of 18 and t(-71)?\nAnswer: 1530","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = -2*w - 5*q + 165, 0 = q - 4. Let x = -117 - -220. Suppose 0 = -2*a + x - 29. What is the remainder when w is divided by a?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -5\/874?\nAnswer: -5\/874","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -21*l**3 - 2*l**4 + 21*l**3 + (4 - 4 - l)*(-4*l - 7*l + 12*l)*(-4*l - 3*l**2 + 4*l) in the form i*l**2 + k*l + o*l**3 + y*l**4 + w and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:59 PM and 7:45 AM?\nAnswer: 586","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -131 and 110470.68.\nAnswer: -14471659.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:50 AM and 3:40 AM?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 9272\/7785?\nAnswer: 9272\/7785","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2785241?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3252*m**4 + 4*m**2 + 17*m + 37.\nAnswer: 78048*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 4401?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 200463 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**21\/s)\/s*(s*s*s**(1\/45))\/s*(s*s**28)\/((s\/(s**(-11\/3)\/s)*s)\/s) assuming s is positive.\nAnswer: s**(1951\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 20*v - 6130 - 6450. Calculate the greatest common divisor of v and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 2145092*g - 4290181. Give a(2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 237 minutes before 7:03 PM?\nAnswer: 3:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a - 2*a + z = -3, 3*z = 3*a. Let t be 22\/a - 8\/24. Suppose -10 - 557 = -t*c. What is the tens digit of c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen quarters of a kilogram in grams?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 75*-948.2\nAnswer: -71115","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 4, s: 6, v: 5}. What is prob of picking 2 s, 1 v, and 1 j?\nAnswer: 20\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 291 minutes after 6:49 AM?\nAnswer: 11:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 49442?\nAnswer: 2, 59, 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.088 - 1.088. Let c = 5.8 - 0.8. Which is smaller: x or c?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = t**2 + 13*t + 3. Let j be n(-13). Suppose -2*c + 2*f - 6 = 0, 2*c + j*f + 3 = 12. Solve 0 = p, -4*s - s + 3*p + 5 = c for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 40 = 2*s, -s + 3*r = -5*s + 68. Suppose 40 = -s*o + 4*o. Suppose -n = 2*n + 6. Sort o, n, 35 in descending order.\nAnswer: 35, n, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 544\/289 + 2 + 32\/(-17). Which is the closest to 1\/3? (a) 3 (b) i (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) be the first derivative of -5*a**6\/2 - 18*a**5\/5 - 3*a**4\/4 + 55. Factor q(f).\nAnswer: -3*f**3*(f + 1)*(5*f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 139486247 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1110100 (base 2) to base 10.\nAnswer: -116","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 + 5 = -4*x. Suppose -2*a = 5*c + 7, -x*c + 7*c - 5 = -5*a. Suppose -4*z = -z - 12. Solve z*n - a = 2*p, n + 2*p - 2 = -n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 20*x**2 - 2*x + 41. Let u(j) = -41*j**2 + 5*j - 81. Determine 5*n(k) + 2*u(k).\nAnswer: 18*k**2 + 43","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 1, 0.2, 1.3, -14168?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -1 (b) 1.7 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -2*k**3 - 2*k**2 + 3*k + 3. Let c be y(-2). Let h be (5 - 30\/c) + 1880. Suppose 340 = -9*t + h. Is 8 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) be the second derivative of b**7\/1155 + b**6\/660 - b**5\/330 - b**4\/132 + 9*b**2\/2 - 5*b. Let r(i) be the first derivative of j(i). Factor r(m).\nAnswer: 2*m*(m - 1)*(m + 1)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o, 1 c, and 1 k when three letters picked without replacement from dcjojnk.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.5 and -4.9.\nAnswer: -2.45","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.7673 rounded to 2 decimal places?\nAnswer: -0.77","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 5 + 6 + i**3 - 5*i**2 + 1 - 3*i. Let o(y) = -7*y**3 - 4*y**2 - y + 2. Let x be o(-1). Let b be q(x). What is the greatest common divisor of b and 20?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6\/(-8) + (1\/(-2) - -1)\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 2037411 (base 9) to base 2\nAnswer: 100001001101000000010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -264*t. Let f be 212\/(-26) - 0 - 114\/(-741). Let r(c) = c + 12. Let x(a) = 2*a + 32. Let g(l) = f*r(l) + 3*x(l). Give m(g(v)).\nAnswer: 528*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 115644818 divided by -62?\nAnswer: -1865239","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) be the third derivative of 9*m**2 + 0*m + 0 + 3\/16*m**4 - 27\/8*m**3 - 1\/240*m**5. Suppose r(a) = 0. What is a?\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 325 and 39.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -12 - -12. Solve 0 = -l*o + 4*o - s - 2, 0 = s + 2 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 261078.\nAnswer: 2, 3, 53, 821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*v + 22*v - 18 = 0. Let n(t) be the third derivative of -1\/30*t**5 + 0*t + 2*t**2 + 1\/60*t**v + 0*t**3 + 0 + 0*t**4. What is z in n(z) = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xev when three letters picked without replacement from {v: 2, h: 1, p: 2, x: 1, e: 6}.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -8*s**2 + s + 7. Let b(u) = -u**2 + 1. Let f(j) = 22*j**2 - 3*j - 19. Let k(l) = b(l) - f(l). Determine -6*k(x) + 17*m(x).\nAnswer: 2*x**2 - x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17 + 63 + 79 - 125 - 116*t.\nAnswer: -116*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*u**4 + 3 - 3 - 2*u**4 - u**4 + 4*u**4 + (-u**2 - 1 + 1)*(-4*u + 4*u - u**2) + 3*u**4 + 2 - 2 + (56 + 52 + 0)*(0*u**4 - 4*u**4 + 5*u**4).\nAnswer: 115*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 18455710, 18455711, 18455714, 18455719, 18455726?\nAnswer: 18455735","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*p = -2*a + 34*p + 5, -a + 3*p = 0. Solve 21*j + a = 22*j for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 3539182*d. Let k(a) = 2*a. Give f(k(v)).\nAnswer: 7078364*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 72 and 140232.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2313978858?\nAnswer: 2, 3, 5081, 25301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 6? (a) 2\/5 (b) -3 (c) 3 (d) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9020, -18045, -27070, -36095, -45120?\nAnswer: -54145","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:41 AM and 11:45 AM?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 21275640 and 108.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (1\/(-2))\/(2\/(-20)). Let p = 162 + -240. Let v = 77 + p. Sort -3, j, v.\nAnswer: -3, v, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-6902)\/(-210) + (-4)\/(-30) is divided by 17?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 3*o**2 + 3*o + 2. Let j = 22 - 38. Let b be 9\/(-4) - 4\/j. Does 8 divide p(b)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 55966 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cgq when three letters picked without replacement from cmqigcuumumuumum.\nAnswer: 1\/1680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1554 + 2034 = -96*d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 24283368 to the power of 1\/3, to the nearest integer?\nAnswer: 290","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -16696 divided by -43\nAnswer: 16696\/43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 129300 a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 106457?\nAnswer: 13, 19, 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 29646 and 366?\nAnswer: 29646","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*x**3 - 3*x**3 - 4*x**3)*((-2 + 2 + x)*(2 + 2 - 6) - 2*x + x - 3*x) - x**4 + 3*x**4 + 0*x**4.\nAnswer: 32*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.89143427 rounded to 3 decimal places?\nAnswer: 0.891","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 3*n**2 - 7*n - 12. What is the remainder when d(-6) is divided by 35?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 144*f**2 - 1024*f + 20. Calculate k(7).\nAnswer: -92","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 - 2*m**4 + m**2 - m**2 + (9 - 9 + 4*m**3)*(40*m - 33*m - 106*m) as i*m**2 + a*m + j*m**3 + f + l*m**4 and give l.\nAnswer: -398","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 780 + -43. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 59988936 and 29994468?\nAnswer: 59988936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3179*u**5 - 52266*u?\nAnswer: -63580*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 8002809701 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fffffffqffffffffff. Give prob of sequence ffq.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (((-10)\/(-25))\/(10 - (-357)\/(-35)))\/5\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3558852 and 684?\nAnswer: 684","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/(-2)*56\/(-294)*-14\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = t**3 + 4*t**2 + 4*t - 1. Let q be r(-3). Let a be -1 + 3 + (-6 - q). Suppose a = 3*f - f - 8. Solve 0 = -d + f*d - 6 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -297, 4 in decreasing order.\nAnswer: 4, 2, -297","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 16\/3*w**4 - 2\/3 - 4*w**2 - 10\/3*w + 8\/3*w**3.\nAnswer: 2*(w - 1)*(2*w + 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4 - -3. Let o be (g\/(-3))\/(2\/30). Suppose -l = 2*j + 5, 8 = j - 3*l - 7. Solve 5*c + 4*i + 4 = -j*i, -o*i - 5 = 0 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 37984.73 millilitres?\nAnswer: 37.98473","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -h - 2*h + 15. Suppose h - 1 = q. Find the third derivative of 27*v**q + v**2 - 5*v**5 - 27*v**4 wrt v.\nAnswer: -300*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) be the third derivative of r**5\/60 + r**4\/12 + r**3\/3 + 13*r**2. Give o(-4).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -g**2 + 54*g - 683. Calculate the smallest common multiple of l(29) and 126.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 77, 91, 105, 119, 133, 147?\n\"Answer: 14*h + 63","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 32687 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1508872065?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -290*b**3 - 295*b**3 + 14*b**2 + 887*b**3 - 289*b**3.\nAnswer: 13*b**3 + 14*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 33030.312 days to weeks.\nAnswer: 4718.616","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -14 - 4*y**2 + 14 - 2*y**2 - 4*y**2 + 3*y**2 + (0 - 2*y + 0)*(y + 0*y - 6*y) - y**2 + 3*y**2 - 6*y**2.\nAnswer: -y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1032 - -3?\nAnswer: -1025","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-9)\/(-6))\/(3\/8). Suppose 7*k = q*k + 3. Find the second derivative of -1 + i + i**2 + k wrt i.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + (-2 + 5 - 1).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 10*x**3 - 40. Let m(g) = -4*g**3 + 16. Let h(c) = -5*f(c) - 12*m(c). Differentiate h(p) with respect to p.\nAnswer: -6*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -19980*h**3 - h**2 - h. Let w be z(-1). Suppose -b + 46020 + w = 0. Round b to the nearest ten thousand.\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 18 = 2*i + 16, a + 4*i + 2 = 0. Let n = 4 - a. Let t = -29 - -31. Put n, 1, t in increasing order.\nAnswer: n, 1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -6*d**3 - 4*d - 3. Suppose 4*f - 18 = -5*a, -4*f + 5*a + 9 = -29. Let n(m) = 11*m**3 + 7*m + 5. Determine f*o(s) + 4*n(s).\nAnswer: 2*s**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 5070 divided by -5\nAnswer: -1014","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 2, c: 2, d: 1, p: 1, z: 1, r: 2}. Give prob of sequence zcs.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 + 3 = 2*c. Let d be 1 + -2 - -5 - c. Suppose 4*j = 0, 6*g = d*g + j - 300000. What is g rounded to the nearest ten thousand?\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 41 divide 6929?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -135 + 136. Let l = 21\/10 - 3\/2. What is the closest to h in l, 3, -0.2?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + l = -189, 2*o - l - 2*l = 183. Suppose -4*w + 110 = 3*v, 3*v - 6*v + 3*w + o = 0. List the prime factors of v.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 223983?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 38*-6.\nAnswer: -228","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(75) + sqrt(75)*3) + -4 + 5*1*sqrt(75) + (sqrt(75) + -1 - sqrt(75))*-2)**2 + 4.\nAnswer: 140*sqrt(3) + 3683","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 27 and 1179?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -210102110 (base 3) to base 12\nAnswer: -9056","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-5 - 0)\/((-8)\/24). Sort 5, x, 4 in decreasing order.\nAnswer: x, 5, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = k - 5. Let m(g) = 1. Let p(b) = -d(b) + 6*m(b). Calculate p(9).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.3 - -0.1. Let u = -0.3 + r. Put 1\/3, -1, u in descending order.\nAnswer: 1\/3, u, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/9 in -6, 1\/3, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -s**2 + 9*s + 24. Let v be r(11). Suppose -3*l - 2*j + 3 = 5, -4 = j. Solve -2*h - t + 3 = v, h = l*t - 12 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12 - -9834\nAnswer: 9822","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -611 + 167 = -3*l. Let t = -143 + l. Suppose -q - 6 = -0*q - 4*k, 3*k = -5*q + 16. Which is the smallest value? (a) -4 (b) q (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 138b3 (base 15) to base 16\nAnswer: f4fe","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, 2.148, 5, -8 in decreasing order.\nAnswer: 5, 2.148, -0.3, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -5\/6, -4, -1.34?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ooocopcfoofocoococpf. Give prob of sequence fcf.\nAnswer: 1\/228","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 1\/4 of a day?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -10, 14\/3, -169, -2, 0.06?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 118*u**3 + u - 2. Let x be (2 + 1 + -2)*(7 - 2). Suppose 2 = -3*n + x*a + 10, 3*n = 4*a + 7. What are the prime factors of d(n)?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5 - -2. Let j be (-1)\/c - (-42)\/(-45). Sort j, 0.3, -4 in increasing order.\nAnswer: -4, j, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -39, -4, 32, 5, -2 in ascending order.\nAnswer: -39, -4, -2, 4, 5, 32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l\/(l*(l*((l**(-7)\/l*l)\/l)\/l*l)\/l*l*l*l)))\/(l*l\/l**4)*l**(-1)*l**(-11) assuming l is positive.\nAnswer: l**(-14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 21069 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 674, 676, 678?\nAnswer: 680","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j + 4*j + 3*m = -15, -159*j - 585 - 477 = -m - 747 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*x**2 + 0*x**2 + 150*x - 201*x.\nAnswer: 2*x**2 - 51*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0 and -100?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 - -3) + -2 - 4 - (138 - (168 + -60))?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((h\/h**28)\/h*h*h)\/h)\/h*h)\/h**19 assuming h is positive.\nAnswer: h**(-46)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -2 times 759.96195\nAnswer: -1519.9239","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s = 8*f + 629 - 614, -5*f + 3 = -s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + sqrt(637) + sqrt(637) + sqrt(637) + 1 - (4 + sqrt(637) + 0).\nAnswer: 14*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*j**3 + 24*j**2 + 8*j - 96 = 0. Calculate j.\nAnswer: -2, 2, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 272 = 6*i. Is i a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -5985*n - 2. Let u(d) = -778*d**2. Determine c(u(b)).\nAnswer: 4656330*b**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.69 rounded to one decimal place?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -531, -529, -527, -525, -523, -521?\n\"Answer: 2*i - 533","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 94 is divided by 16\/(-72) - (-218)\/9?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 188435, 188674, 189073, 189632, 190351, 191230, 192269?\nAnswer: 193468","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aa when two letters picked without replacement from {o: 18, a: 2}?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 808*b - 24239. Determine s(30).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + u + 7 = 2*u, 0 = -2*f - 3*u + 7. Let x(o) = 6*o**2 - o - 1. What is the tens digit of x(f)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/((a**9*a)\/a)*(a\/(a*a**(-7)*a))\/a)\/((a*a**(3\/11)\/a)\/(a\/a**(-11))) assuming a is positive.\nAnswer: a**(96\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -398\/3 + 397\/3. Sort 0.07, d, -11, 11 in ascending order.\nAnswer: -11, d, 0.07, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -6*d. Let o(l) be the second derivative of -l**3\/3 - 9*l. Determine r(o(n)).\nAnswer: 12*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*h - 34 - 16. Let q = h - 5. Let p(l) = -4410*l + 1. Let b be p(0). Solve -q*y - 14 = b for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jn when two letters picked without replacement from {j: 3, n: 8}?\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 32 + 35?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 535, 528, 513, 484, 435, 360, 253?\nAnswer: 108","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -3*d + 21. Let s be q(5). Let x(j) = -j**3 + 4*j**2 + 14*j - 7. Let u be x(s). Solve 3*r + 20 = u*c, -25 = -c + 4*r - 4 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (49*p - 29*p - 30*p)*(p**4 - 23 + 23)*(-4 + 1 + 2).\nAnswer: 10*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (12\/42)\/((-2)\/(-14)). Suppose 5 = -x - d. Let i = x - -11. Solve s - 3 = -2*j, i*j = -7*s + 2*s + 3 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -f. Let c(i) = i**2 + 7*i. Let p(j) = 3*c(j) + 21*z(j). Give p(1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-21)\/(-5))\/(((-10)\/(-32))\/((-825)\/396)))\/1.\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2 - 22226c?\nAnswer: -22226a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 37 = -k + 11, -84 = -3*f + 5*k. Suppose 5*t + 57 = -f. Let w = 26 + t. Solve g - w = -4*g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (12 - 13)*5\/((-20)\/1564). Suppose 0 = -2*d - 2*d - 5*v - 813, d - v + 201 = 0. Let t = r + d. Is 16 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 7 - 3)*(x - 200 - 3*x + 217).\nAnswer: -4*x + 34","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0 - -2. What is the smallest common multiple of 4 and s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 48023311*h**6 + 8613086*h**2 - 4*h wrt h.\nAnswer: 5762797320*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = x + 1. Let l = 15 - 11. Let v(t) = -16*t - 5*t + 29*t + 1 - 2 - 10*t. Determine l*v(g) + 3*w(g).\nAnswer: -5*g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -u + 18. Give c(-13).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 4, d: 15}. Give prob of picking 4 o.\nAnswer: 1\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/2 - 1\/4*k + 1\/4*k**2.\nAnswer: (k - 2)*(k + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/6 (b) 19\/5 (c) -1.01 (d) 12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) be the first derivative of i**3\/6 + 2*i**2 + 12*i - 3. Let m(d) be the first derivative of y(d). Let t(c) = -4 + c + 0 + 5. What is -m(s) + 4*t(s)?\nAnswer: 3*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-1)\/(-8))\/1 - 41013\/(-24) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-1\/4)*q\/q**14)\/((q**(-10)\/q)\/(q**(-7)*q)) assuming q is positive.\nAnswer: q**(-33\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 742 to the power of 1\/6, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 71796\/48 + 1\/4.\nAnswer: 2, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 14*b - 0*b. Suppose -3*s - 2*k + 415 = -b*s, 5*s - 2*k - 697 = 0. Suppose -5*g = 5*t - 665, -9*g + 6*g + s = t. What is the tens digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = 147*f - 150*f + 2*k, -7*k + 9 = -5*f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 3*l**3 - 3*l**2 + 334. Let q(c) = -2*c**3 + 2*c**2 - 333. Give 4*q(m) + 3*t(m).\nAnswer: m**3 - m**2 - 330","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(105)\/sqrt(5))\/sqrt(7) - (sqrt(18)\/sqrt(6))**2*-4)*-4*-5.\nAnswer: 20*sqrt(3) + 240","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:06 PM and 6:55 AM?\nAnswer: 709","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.3 (b) 1 (c) 1051832\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) be the third derivative of -k**6\/24 + k**5\/12 + 25*k**4\/12 + 20*k**3\/3 + 50*k**2. Factor q(i).\nAnswer: -5*(i - 4)*(i + 1)*(i + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = -a - 98 + 374, 3*i = 12. Suppose a = 9*b + 8*b. Calculate the remainder when 62 is divided by b.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -48 + 28. Let q = o - -20. Let u = -1.01 - -0.01. What is the third biggest value in u, 0.1, q?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.006 - -1.7754. What is a rounded to one decimal place?\nAnswer: 1.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-11)\/(-10) - (14\/133 - 376\/(-760)). What is the nearest to -1\/8 in 26, -2, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2855?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1700) + sqrt(1700) + 0 + sqrt(1700) + -2 - (sqrt(1700) + -1)*-1)**2 - (sqrt(204) - (1*(sqrt(204) + 2*sqrt(204)) - sqrt(204)))\/(sqrt(1728)*2).\nAnswer: -5759*sqrt(17)\/24 + 27209","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 40548?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 66 - 15*l - 132 + 66. Let p(z) = 32*z**2. Give c(p(d)).\nAnswer: -480*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -52*i - 4 = -56*i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -95, -1, 5, 35, -46 in ascending order.\nAnswer: -95, -46, -1, 5, 35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rwwuj. What is prob of picking 2 w and 1 j?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -58 divided by 16.\nAnswer: -29\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -6 + 3 - (-123)\/39. Let l = -53\/2 + 27. Is l at most z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(36\/15))\/((-895)\/537)*-30.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 72\/828 - 832\/46. Let l be 9 + (-13)\/26 + h\/4. Let k = 16 + -1. Solve l*x + 24 = -4*t, t - 4*x - k = 4 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.3 in 2\/7, 0, -46, 2\/313, 0.46?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -75, -49, 25, 171, 413, 775, 1281, 1955?\n\"Answer: 4*a**3 - 2*a - 77","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (21 - 9) + (-3 - (-14 + 6)).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 357473 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - (6 - (-2 - (-6 + 1))).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 728728 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 428197 is divided by 7512?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -o + 3*o - 6 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 1917927498?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 220 from -75023.\nAnswer: -75243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 144*x = -5*y + 164*x + 70, 5*y + 7*x - 3*x - 22 = 0 for y.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 28 + -27. What is the derivative of w - h**2 + 2 + 0 + 3 wrt h?\nAnswer: -2*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 154 minutes before 5:07 AM?\nAnswer: 2:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 - 146 = -3*w. Suppose 2*u - w = -2*m, -3*u + 90 = 4*m - 2*u. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -160 by 3.\nAnswer: -160\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((31\/((-744)\/32))\/(4\/18))\/((-28)\/(-182)).\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 138320556 and 231.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 - 1 - 2)*(0 + 2 - 4)*(-1 + 5 + 0)*(-2*l**2 + l**2 - l**2) to v*l + z + x*l**2 and give x.\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2 - 3 - 1 - 2 + 1 + (3 - 6 + 5)*(0 - 4 + 2) + 3 - 1 - 3)*(-2*s + 14 + 5*s - 10).\nAnswer: -24*s - 32","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 94*c = 1650 - 428 for c.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 >= -2\/6297?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 3170 to the power of 1\/4, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -547 - -610. Let p = 43 + -22. Solve -90*q**2 + q + p*q**3 + 5*q + y*q**2 = 0 for q.\nAnswer: 0, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 44\/5 of a meter?\nAnswer: 880","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 (base 15) in base 11?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((4*sqrt(1584)*-2)**2 - (sqrt(1584) + sqrt(1584) + (sqrt(1584) + sqrt(1584)*3 + sqrt(1584))*-2)**2) + 1)*4.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.018, 93, 4\/3, 1, 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-1))**(-23)*(f**(1\/3))**(7\/3)*(f*f*f**9*f*f*f**1)**(-14) assuming f is positive.\nAnswer: f**(-1550\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w - 8 = -4*w - 2*s, 5*w + s - 10 = 0. Suppose -w = 4*v + 6. Which is the third biggest value? (a) 1\/9 (b) -3 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qf when two letters picked without replacement from {q: 2, f: 9}?\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/(y*y**12)*y*y)\/(y**(-10\/3)\/y))\/((((y*(y*y**2\/y*y*y)\/y)\/y)\/y)\/y**(2\/9)) assuming y is positive.\nAnswer: y**(-67\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(11) + sqrt(891) + -1)**2 + 0 - sqrt(66)\/(-3*sqrt(384) + sqrt(6)).\nAnswer: -459*sqrt(11)\/23 + 1101","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1052 + -161?\nAnswer: -1243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6*14\/(-21)*(-2)\/(-4).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -946190\/1661 < -569?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7 - 5. Let f(k) be the first derivative of k + 1\/2*k**2 - x. Differentiate f(r) with respect to r.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + 8 = 9*t - 10*t, 0 = -2*t + 4*z + 26. Solve t*h - 30 = 13*h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -8*s - 97. Let l(o) = 5*o + 1. Let m(t) = d(t) + 2*l(t). Let g(n) = n. Calculate m(g(q)).\nAnswer: 2*q - 95","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -147957 + 14*p - 46*p + 147957 + 14*p + 11*p.\nAnswer: -7*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17128.\nAnswer: 2, 2141","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 717347\/4 + -178419. Let a = m - 908. Suppose a*y**2 + 3\/4 + 45\/8*y**3 + 39\/8*y = 0. Calculate y.\nAnswer: -1, -2\/5, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6694854 and 37.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 927 + -922. Solve n - 6 = -l*n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = m - 85. Let s = 57 - m. Calculate the remainder when s is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1756 and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -56.712 + -16427.14596.\nAnswer: -16483.85796","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*w**2 + 2*w**2 + w**2 + w**2 + w**2 + 0*w**2 + (-3 - 1 + 1)*(0 + 0 - w**2) - w + 0*w - 2*w**2 + 3*w.\nAnswer: w**2 + 2*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -216155274, -216155275, -216155276?\n\"Answer: -u - 216155273","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 438911 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4463 (base 9) to base 12.\nAnswer: -1aa9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.002129376 rounded to 4 decimal places?\nAnswer: 0.0021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 71 - 67. Suppose -y*m + 143 = 23. Let c(x) = x**3 - 4*x**2 - 5*x + 6. Let g be c(5). What is the greatest common factor of g and m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 - 2*t**2 + 2 + (0*t - 2*t + 3*t)*(-t + 0*t + 2*t) - 284*t**2 - 98*t**2 + 55*t**2.\nAnswer: -328*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 2*p**2. Let w(q) be the first derivative of 309*q**2\/2 + 339. Give f(w(m)).\nAnswer: 190962*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the second derivative of 12*c**2 + 10\/3*c**3 + 0 + 142*c + 1\/3*c**4. Factor f(k).\nAnswer: 4*(k + 2)*(k + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -59 - h + 4*h + 50 + 0*h in the form t*h + b and give b.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve x = -6, -58*n + 55*n = 3*x + 8*x - 10*x + 9 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1461*o - 763*o - 18 - 286*o + 19.\nAnswer: -2510*o + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 55*f**2 + 656*f + 13. Let o be n(-12). Solve 26*w - o = 17 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) be the first derivative of 2*q**6\/75 - 3*q**5\/25 + q**4\/5 - 2*q**3\/15 - 3*q + 1. Let u(m) be the first derivative of h(m). Suppose u(d) = 0. What is d?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*o - s, 0 = -0*o + 3*o + 2*s. Let v be (1 - o)*(59 - 0). Let a = -24 + v. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -47 + 56. Suppose -44 = -2*c + 26. What is the remainder when c is divided by q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/((a**4*a)\/a))\/a*a**(-5))\/((a\/(a\/(a\/(a*(((a**(-6)\/a*a)\/a*a)\/a*a)\/a))))\/(a\/a**(1\/4)*a)) assuming a is positive.\nAnswer: a**(-57\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -85*r**3 + 8*r**2 + 8*r. Let i(c) = 340*c**3 - 30*c**2 - 31*c. Calculate -4*i(z) - 15*p(z).\nAnswer: -85*z**3 + 4*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) be the second derivative of x - 1\/6*x**3 + 0 - 7\/12*x**4 + 1\/2*x**2. Give z(1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 3*t + 5. Suppose 41 + 31 = 9*m. Suppose 5*i = -a - 7, m*a = -5*i + 3*a - 15. Let f be y(i). Solve 0 = f*u + 5*l + 6 + 7, 4*u + 5*l = -21 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) be the second derivative of 10\/3*v**3 + 0*v**2 - 10*v + 0 + 1\/3*v**4. What is the second derivative of d(s) wrt s?\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 less than -2\/1501?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(3) + sqrt(33)\/sqrt(11) + sqrt(3)) + (-2*sqrt(432))**2 - -4*(sqrt(432) + -2 + sqrt(432))*6.\nAnswer: 591*sqrt(3) + 1680","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) be the second derivative of 36*b**6\/5 - b**4\/6 + 5221*b**3\/6 - 11063*b. Find the second derivative of n(z) wrt z.\nAnswer: 2592*z**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/21? (a) 9 (b) -1 (c) -0.1 (d) -24\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) be the second derivative of 29*i**7\/14 - 7*i**5\/20 - i**4\/12 - 1819*i**3\/3 - 725*i + 1. Find the second derivative of q(l) wrt l.\nAnswer: 1740*l**3 - 42*l - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = 4*f - 1935. Let x = 200 + f. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor s**2\/3 + 8770*s\/3 - 1421728.\nAnswer: (s - 462)*(s + 9232)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + z - 104 = 5*z, 5*i - 136 = -z. Suppose 22*m + 20 = i*m. Solve 0 = m*y + 7 + 13 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b - 6*r - 57 = 0, -5*r - 26 - 20 = -b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in 1\/4, 7\/8, -0.5?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 32824, 65782, 98870, 132082, 165412, 198854, 232402, 266050?\n\"Answer: -j**3 + 71*j**2 + 32752*j + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 14 - 9. Suppose i*t - 55 = l - 0*l, -3*l - 22 = -2*t. Is 11 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1792852494?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -293351*f**2*s + 22*f*s - f + 27*s - 44 wrt f?\nAnswer: -586702*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1496478?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 - (0 - -2) - (9 - 6).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -135 < -115?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1202760 a multiple of 360?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-95)\/(-38))\/((-1)\/(-2)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 7.90302 + 0.19598. Let q = 0.001 + c. Let k = -8.099961 + q. What is k rounded to 5 decimal places?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -406 or 20?\nAnswer: -406","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(3\/17)\/(s*s**(-4\/11)*s) assuming s is positive.\nAnswer: s**(-273\/187)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -4, 4, 100, 5 in descending order.\nAnswer: 100, 5, 4, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (4 - (-126)\/(-35))*(3 + 0 + 19232).\nAnswer: 2, 3847","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/3, -1, -0.08, 2, 0.02, -1\/4 in increasing order.\nAnswer: -1, -1\/4, -0.08, 0.02, 1\/3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 2*d = -16, -o - d - 32 = -3*d. Suppose 4 = 3*f + 1. Let u = f - o. What is the remainder when u is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*m**2\/2 - 19420139*m\/2 + 6473379.\nAnswer: (m - 6473379)*(3*m - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is seventy-three quarters of a millimeter in micrometers?\nAnswer: 18250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 983 and 20850413?\nAnswer: 983","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(-1 + sqrt(180) + 1 + (sqrt(180) - (sqrt(180) + 2)) + 5 + 1))**2.\nAnswer: 1200*sqrt(5) + 4900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*y - 5*y + y)*((-1 - 3 + 5)*(2*y - 4*y + 0*y) + 2*y - 6*y + 3*y).\nAnswer: 6*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -3*l**2 + 0*l**2 + 2 - 2*l**2 + 2. Let z(t) = -11*t**2 + 7. Let m(x) = 5*k(x) - 3*z(x). What is the first derivative of m(p) wrt p?\nAnswer: 16*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of (16\/10 + -1)\/((-254)\/(-2540)) and 22?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -752, 231, 4682, 14329, 30900, 56123, 91726?\n\"Answer: 288*z**3 + 6*z**2 - 1051*z + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -847128000 to the nearest one million.\nAnswer: -847000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 18*1394\/(-408)*-5*(-4)\/30.\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -762685 - -132381.4\nAnswer: -630303.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -266*g - 183*g + 443*g.\nAnswer: -6*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 543 divide 196901031?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*x = -96 - 2 for x.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 2, o: 2, m: 1}. What is prob of sequence koo?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 85 a factor of 3607888?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 less than -5\/121332?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b\/b**(-2\/11)*b)\/b**(-1\/7))\/(b**(-3\/7)\/(b*b*b\/b**2)))**50 assuming b is positive.\nAnswer: b**(14450\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 25\/175 - (-6)\/(-21).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -4*v**2 + 2*v + 2. Let z(u) = u**2 + 1. Let x(l) = -c(l) + 4*z(l). Is x(2) a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4788 - -4794. Suppose -2*r + 13 = -5*q, -r + 5*q = -3*r + 43. What is the least common multiple of o and r?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 316 and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 14, 16, 20, 26, 34?\n\"Answer: f**2 - f + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 491? (a) -5 (b) 3\/2 (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1.5439 and -0.3.\nAnswer: -0.46317","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 25161 - -6132?\nAnswer: 33313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 4 - 3)*(-7 + 0 + 9 - 39*o).\nAnswer: -78*o + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-3)\/(-9))\/(8\/(-6)))\/((-24242)\/28520).\nAnswer: 5\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -6*o + 112. Let w be x(17). Which is greater: 80\/7 or w?\nAnswer: 80\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 4*r = 0, 5*k - 5*r = 2*k + 11. Let f(i) = i**2 - 2. Suppose -c - 3*c + 8 = 0. Let s be f(c). Solve 4*h - h = k*t + 22, s*h = 3*t + 23 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*m**2 + 1085*m + 4420 = 0. What is m?\nAnswer: -4, 221","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 j and 1 p when four letters picked without replacement from {j: 15, p: 5}.\nAnswer: 455\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + ((2*sqrt(117) - sqrt(117))\/sqrt(9) - sqrt(13)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2117756 + 6280489 = 155*w + 1307150. What is the ten thousands digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39*n + 32*n - 73*n = -4*r + 36, 0 = 5*r + 5*n + 45 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is (132917\/6)\/1 + 31\/6 + -6 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 38.66191 times -0.7?\nAnswer: -27.063337","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 3 (b) 4\/7 (c) -2\/3 (d) 0.1 (e) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 573 = -15*q + 307. Suppose -n = 5*b - 347, -3*n + 4*b = 2*n - 1764. Calculate the highest common divisor of q and n.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 29, 23, 5, -31, -91, -181, -307, -475?\n\"Answer: -h**3 + h + 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) be the first derivative of 1\/5*v**5 + 1\/2*v**4 + 0*v**2 - 5 + 0*v + 1\/3*v**3. Factor z(d).\nAnswer: d**2*(d + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -11 in -4396, -0.2, 2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 470 less than or equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 0.2 (b) 3 (c) 0.036\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -30175, -32262, -34347, -36430, -38511?\n\"Answer: r**2 - 2090*r - 28086","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*t**2 - 1690 + 72*t - 367*t - 178*t - 382*t.\nAnswer: -5*(t + 2)*(t + 169)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 5*k, 4*k - 563 = -4*g - k. Suppose 5*l - 2*i = 2*i + 177, 0 = 4*l - 3*i - g. Let b = -8 + l. What is the units digit of b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by 4058781.\nAnswer: -1\/1352927","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2 * 350667.\nAnswer: -70133.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -20944, -41890, -62838, -83788, -104740, -125694?\nAnswer: -146650","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 132 minutes before 1:13 AM?\nAnswer: 11:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 6*o = -300. Let m = -221\/3 - o. Factor -10\/3*u - 8\/3*u**2 - m - 2\/3*u**3.\nAnswer: -2*(u + 1)**2*(u + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 226 + -98. Let x = j - 70. Let n = x - 54. What is the least common multiple of 4 and n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1)\/(1 - (-176)\/(-180)). Does 11 divide (-27)\/a*(54 - -1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 + -3 + 1 + 31?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 18 - 13. Let h = w + -7. Let p = 98\/57 + -20\/19. What is the biggest value in p, h, -0.4?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4 + -12. Let n(x) = -x**3 - 7*x**2 + 8*x + 4. Let k be n(h). Suppose 4*g - k*s - 64 = 0, 50 = 4*g + g + 5*s. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in five quarters of a decade?\nAnswer: 150","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-18)\/16)\/((-18601)\/(-54112))?\nAnswer: -36\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2041113413 (base 5) in base 3?\nAnswer: 21222100021111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.9 (b) 951 (c) -78\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 232341343 (base 5) in base 6?\nAnswer: 34410353","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -775*g**6 + 120500*g**3 + 7*g**2 - 22781705 wrt g.\nAnswer: -93000*g**3 + 723000","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -2*k. Let t(v) = 3*v**2 + v. Let d be t(-1). Let h(y) = 5*y - d*y - 2*y. Give b(h(p)).\nAnswer: -2*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide 271427 by -4.\nAnswer: -271427\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = i**3 + 3*i**2 - 3*i + 3. Let s = -35 + 50. Let y = -3 + 6. Suppose 0 = -y*d + x - 0*x - 9, 0 = -3*d - x - s. Calculate u(d).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.0391605 and 0.244.\nAnswer: -0.009555162","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-39)\/(-36)*16\/4)\/((-1537)\/(-9222)).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = i - 0*i + 14, -2*g = 5*i - 11. Let c be (i - -5)\/((-8)\/6). Let r(v) = -v**2 - 12*v - 5. Let b be r(-12). Which is greater: b or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 5*g + 1. Let o(m) = -1. Let c(a) = -d(a) + 5*o(a). Let q = -33 + 39. Let x(s) = s + 1. Calculate q*x(b) + c(b).\nAnswer: b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tyt when three letters picked without replacement from xttpbsysp?\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 4 = -y, 3*y + 4*v - 28 = 2*v. Suppose -y*z + 5*z - 1620000 = 0. What is z rounded to the nearest one hundred thousand?\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5723487 is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16\/(-20)*290\/1102.\nAnswer: -4\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 488*g - 5*g**2 - 103*g - 133*g + 2*g**2 - 106*g - 110*g.\nAnswer: -3*g**2 + 36*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = a + 2. Let n be j(8). Solve -4*t = -2*t + n for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 108\/13 or 8?\nAnswer: 108\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*f**2 + 1328100*f + 146987467500.\nAnswer: 3*(f + 221350)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -44013800 to the nearest 1000000.\nAnswer: -44000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 0.1, 0.5, -1\/6, -114, -4, -147, -0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -2*x + 14. Let b be i(13). Let m be -2 + -1 - (12 + -14). Let q be b*1\/(-2) + m. Solve -q*t = -t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b, 1 g, and 1 u when three letters picked without replacement from ygbbhkukukku.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/((-4)\/(-264)*6))\/((-6)\/(-6)).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 2 x when three letters picked without replacement from {o: 1, s: 2, p: 1, x: 5, c: 1}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -9 - 7 - 2*h**2 - h**2 + 2*h**2 - 10*h. Let f be n(-8). Let t = 6 + -2. Solve t*x + f = -4 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 8*g**2 - 2*g + 6. Let b(y) = 18*y**2 - 6*y + 11. Give 2*b(s) - 5*c(s).\nAnswer: -4*s**2 - 2*s - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -509082 + -50918. Round m to the nearest one hundred thousand.\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 271, 301, 331, 355, 367, 361, 331, 271?\nAnswer: 175","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/(a*a**(1\/4)))\/a*a)**(-15\/4)*(a**(-2\/3)\/a)**(-30\/7) assuming a is positive.\nAnswer: a**(905\/112)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -687*m - 23040 + 10674 = 0 for m.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -20321 divided by -3\nAnswer: 20321\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 42138375*r - 30525. Let h(b) = -2761*b + 2. Determine 91575*h(s) + 6*n(s).\nAnswer: -8325*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 23, 10, 3, 0 in descending order.\nAnswer: 23, 10, 3, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 21*t + 5 - 5 to b + k*t and give k.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 3755115487 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6 - 2. Let o be 2\/n - 7\/(-2). Solve 24 = 2*i - 6*i + 2*b, o*i - 4*b + 32 = 0 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = o**3 + 3*o**2 + o + 3. Let f be r(-3). Let v be (-1)\/((-4 - f)\/8). What is the third derivative of 3*i**2 + 0*i**5 - 15*i**2 - v*i**5 + 8*i**5 wrt i?\nAnswer: 360*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -3 - (-4 + (2 - -1)). Put 4, w, 1 in decreasing order.\nAnswer: 4, 1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2697\/7 + 384. Which is smaller: d or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = -2*z + 8. Let i = -5 + z. Let w = -1 + i. What is the units digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4*9\/(-96)*-8?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*p - 5*k - 99 = 26*p, -p + 72 = -4*k for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.130134018 rounded to four dps?\nAnswer: -0.1301","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 20 (base 12) to base 4\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = -11*z. Let j(w) = -12*w**3 - w**2 + w + 1. Let h be j(-1). Suppose z = -h*y - 7 + 51. Solve 4*i - 5*c = -9, -c = -i + y*c - 21 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zzzzzzsszzzzsszszzz. What is prob of picking 2 z and 1 s?\nAnswer: 455\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = -2*j + 1 + 9, 2*j - 5*f = 10. Solve j*z = 2*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-23)\/(-187) - (-71)\/1207)\/(1\/11).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2226 and 1272.\nAnswer: 8904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1788217?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -5, 2\/63, 1\/4, -40, -1\/5, 3, -17\/6?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -11 + 21. Suppose 3*h = 5*h + 10. Let l = x + h. Solve y = -2*y + j - 4, 4*j + 35 = -l*y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + 4*sqrt(700) + -4 + (sqrt(700) - -2*sqrt(700))**2 + -1 + 0.\nAnswer: 40*sqrt(7) + 6297","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is fifteen quarters of a week in hours?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 0 + 11002200120201?\nAnswer: 11002200120201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 5*r + 5. Let h(b) = 6*b + 5. Determine 7*h(q) - 6*n(q).\nAnswer: 12*q + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -18, 1, -0.287217, -1 in descending order.\nAnswer: 1, -0.287217, -1, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/7 in -1.611, -4\/7, 124?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 209 + 343 = -8*u. Let f = -67 - u. Solve 3*p - f*y - 23 = 0, -5*y + 12 = -p + 37 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -206, -7076, -20612, -40820, -67706?\n\"Answer: -a**3 - 3327*a**2 + 3118*a + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 7042208 divided by -8\nAnswer: -880276","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 20\/70*(60\/(-6))\/(-60)\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -3*g**2 + 10*g**2 + 1 + 4*g + 1 + 0. Let d be f(-2). What is the highest common divisor of d and 33?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wlnlnnnnl. Give prob of picking 1 w and 1 n.\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 293 a factor of 10566459?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 47*g - g**2 - 47*g.\nAnswer: -g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 5*n**2 - 4*n - 4. Let c be (2 + (-10)\/4)*-4. Suppose 0*m = -c*m - 6. Let d(p) = 4*p**2 - 3*p - 3. What is m*r(i) + 4*d(i)?\nAnswer: i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) be the second derivative of 2291*m**7\/42 + m**3\/6 + 67*m**2 - 2221*m. What is the second derivative of z(u) wrt u?\nAnswer: 45820*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 31*u + 1. What is f(1)?\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mkrpi. Give prob of sequence iprk.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = t**2 - 6*t + 9. Suppose -48*v - 533 = 619. Let x = -27 + 45. Let y be v\/18*x\/(-4). Calculate u(y).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5 + 10 + 2)*(-2*l**2 - 2*l**2 + 2*l**2) + (-l - 1 + 1)*(0*l + 5*l + 0*l) - 3*l**2 - 3*l**2 + 2*l**2 to w + f*l**2 + p*l and give f.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 879 and 12?\nAnswer: 3516","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -83484, 5, 0.3 in decreasing order.\nAnswer: 5, 0.3, -83484","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = -3*y + 4*y, y - s = 2. Solve 0 = -v - y*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5279 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -l - 16. Let y be a(-16). Suppose -4*i - 3*h + 1216 = -y*i, 8 = -2*h. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 563289216 by 82208.\nAnswer: 6852","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 n when two letters picked without replacement from {h: 1, p: 2, y: 2, g: 1, n: 2}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -v**3 + 9*v**2 - 5*v + 4. What is the units digit of u(6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -l**2 - 74*l + 479. Determine w(8).\nAnswer: -177","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.285539 to 3 decimal places.\nAnswer: -0.286","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -p - 9 - 11. What is the common denominator of ((-4)\/p*-194)\/4 and (2 - 1) + 26\/(-36)?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15263225.\nAnswer: 5, 71, 8599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 42*z - 21. Suppose -552 = -5*f - 3*u + 58, 0 = 3*f - 3*u - 366. Suppose 4*m = -14 + f. Let d(w) = -6*w + 3. Let v(l) = m*d(l) + 4*o(l). What is v(2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 10545\/16 or 660?\nAnswer: 10545\/16","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 3*j = 83, 0 = -2*i + 4*i - j - 73. Suppose 4*y = -i + 38. Solve -l - 2 = -y for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3412.2 - 3412. Let z be 1 - (2 - (1 + 0)). Let v = 2 - 4. Which is the closest to q? (a) v (b) z (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 752 equal to 752?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:02 AM and 12:56 PM?\nAnswer: 714","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 15425 - -5?\nAnswer: 15431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -k + 12. Let g be (15 + 0)\/(-3)*-1. Suppose 0 = 3*d + 2*v - 28, -v - 20 = -g*v. Let f be l(d). Solve 2*w - 8 - 11 = -5*q, f = 3*q + 3*w for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = 5*n + 10, 8 = -0*n - 4*n - 3*x. Let g = n - 1. Let f = 3 + g. Solve -8 = -f*i + 4*i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 8*l = -t + 197, 0 = 5*t + 3*l - 929. Calculate the highest common divisor of t and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 less than or equal to -8\/221?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -198 and 3744410700?\nAnswer: 3744410898","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.2 > 278\/43571?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -9088434 from 5.247.\nAnswer: 9088439.247","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1110010 - 100?\nAnswer: -1110110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w**(4\/11)\/w)**(1\/14)*w**(3\/2)\/w*(w\/(w\/(w\/(w\/w**(-16)))))\/w*w assuming w is positive.\nAnswer: w**(-2383\/154)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -313*p - 8173*p + 17727*p + 21949*p.\nAnswer: 31190*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1118 in 21\/5, 1\/2, 0.8, -0.089?\nAnswer: -0.089","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 1875*w**2 - 135*w + 135. Suppose -g = -f - 12, 4*g + 24 = 225*f - 230*f. Let c(a) = 28*a**2 - 2*a + 2. Calculate g*d(z) - 270*c(z).\nAnswer: -60*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-62 + 2)*15\/(-60). Solve 0 = 2*k + h*k - 68 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 68, 35, 258, 965, 2384, 4743?\n\"Answer: 38*k**3 - 100*k**2 + k + 129","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.360977 and -0.2?\nAnswer: -0.0721954","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 109\/204 and 101\/3026?\nAnswer: 18156","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*q - 5*q + 3835*q**3 + 8*q + 3170*q**3 - 2*q**2.\nAnswer: 7005*q**3 - 2*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -c (base 13) to base 8\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-3 - 12\/4) + 3. Let t = z - -7. Suppose -2*u - 15 = t*d - 233, 0 = 5*d + 4*u - 280. Is d a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 737*n + 751. Let r(d) = -421*d - 376. Give -4*g(h) - 7*r(h).\nAnswer: -h - 372","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1440 = 146*c - 164*c. Calculate the highest common factor of c and 288.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 0 - a + 3*a - 1 + 4*a. Determine m(3).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -28*t**2 - 4*t. Let x(n) = -28*n**2 - 5*n. Let v(f) = 5*g(f) - 4*x(f). Let z(j) = 2*j**2. Calculate v(z(p)).\nAnswer: -112*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is (6\/12 - -1)\/(27\/9972756*2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 187957429 and 946.\nAnswer: 473","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = -2*w, 2*w - w = -4*o - 15. Let n be (-6)\/(-9) + 5\/(-3). Let j = -1 - n. Which is bigger: o or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that -3*j**2 + 171426*j - 2399376 = 0.\nAnswer: 14, 57128","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (49\/(6370\/40))\/(-1).\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = k**3 - 6*k**2 + 255*k + 35. Is j(68) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000205624063 rounded to 5 dps?\nAnswer: -0.00021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 26, 0.2, 5, -2\/3 in ascending order.\nAnswer: -2\/3, 0.2, 5, 26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 11592\/11 - 23279\/22. What is the common denominator of p and 109\/686?\nAnswer: 7546","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*m**3 - 13899*m**2 - 46*m + 13899*m**2 to the form y + t*m**2 + r*m**3 + c*m and give r.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -1212091 less than 193377?\nAnswer: 1405468","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k + 15 = 3*u, -5*k - 18562*u = -18563*u + 35 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -254911, -509814, -764717, -1019620?\n\"Answer: -254903*m - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -g**3 - 27*g**2 - 43273*g - 7. Give t(0).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 6\/2 - (-3)\/(-1). Suppose -3*l + 8 = p - 0*p, -5*l = -4*p + 32. Solve x = w + w + p for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.9 * 3.363\nAnswer: -3.0267","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -7*x. Let g(u) = -15*u. Let m(o) = 6*g(o) - 13*l(o). Let z(b) = 16*b. What is z(m(d))?\nAnswer: 16*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = y**2 + 8*y - 13. Suppose 5*o + 5*m = 0, -o - 10 = -3*o + 3*m. Let p be (40\/100)\/(o\/(-50)). What is the units digit of w(p)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = w - 1. Let p be o(8). Put p, -1, -5 in descending order.\nAnswer: p, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 49 * 0.026\nAnswer: 1.274","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) 38 (b) 2\/9 (c) -1 (d) -4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 0.1231169+-699\nAnswer: -698.8768831","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1045*h**2*i**3 + 268927*h**2*i - 98612*h*i**4 + 343*i wrt i?\nAnswer: -6270*h**2*i - 1183344*h*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -196*a = -201*a - 4*r - 71, 10*a + 4*r = -126 for a.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = -6*i + 116. Does 6 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) be the first derivative of 160*d**2 - 12*d + 186. List the prime factors of k(2).\nAnswer: 2, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -7*c + 48. Let h(r) = -2*r + 16*r - 13*r + c. Let n(u) = -u - 1. Calculate h(t) + 2*n(t).\nAnswer: -t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4 + (1*sqrt(1331) + -3 + sqrt(1331))*2)*6)**2.\nAnswer: -31680*sqrt(11) + 770256","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/4)\/(275\/(-22) + 10)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*l + 3*u - 6, 4*l - 5*u = -0*l - 8. Suppose 6*w - 30 = l*w. Solve -5*p = -3*z + 10 + 4, p + 3*z = -w for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 101603532?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -d - 1405135314 - 2*d + 1405135283.\nAnswer: -3*d - 31","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 133 is divided by 55?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 144 + -144.91. Let h = 0.09 - s. Which is smaller: h or -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*p - 4 - 0. Suppose 4*c + 0*u - 3*u - 1 = 0, 28 = p*c + 4*u. Suppose -c*t - 8 = -52. Solve -2*f + 1 = t for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1036081?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -3*k**2 + 133*k + 91. Let r be a(45). Is r smaller than -10\/413?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/(r**(-1\/3)\/r))**(-6)\/(r**(-3)\/(r\/(r**(-2)*r)))*r**6\/(r*r**6)*r\/(r*(r*r**(3\/8)*r*r)\/r)*r*r*r**4 assuming r is positive.\nAnswer: r**(-51\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -70, -80, -88, -88, -74?\n\"Answer: v**3 - 5*v**2 - 2*v - 64","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1672166427?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 13.97279 rounded to 1 dp?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by 21791466?\nAnswer: 1\/7263822","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -52983, 5.\nAnswer: -52983, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide -353520 by -88380.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vqvzvqqyzbqkvqvyzyq. Give prob of picking 1 k and 2 z.\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -1 - (3 - (-32)\/(-4)). Which is the third smallest value? (a) 0.5 (b) -0.2 (c) 3 (d) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) be the first derivative of 57*x**3 + 0*x**2 - 5\/2*x**4 - 2\/5*x**5 + 47 + 0*x. Find the third derivative of g(y) wrt y.\nAnswer: -48*y - 60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 0\/(((-1)\/(-1))\/(-1)). Suppose -48*s + 34 = 370. Put s, d, -5 in decreasing order.\nAnswer: d, -5, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 18\/12*44\/(-2). Let k = o + 47. List the prime factors of k.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -188278*t - 564852. Give c(-3).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is j in 4*j**3\/3 + 483368*j**2\/3 + 14605688740*j\/3 + 58399555600 = 0?\nAnswer: -60415, -12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 1.979 + 0.2\nAnswer: 2.179","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 86\/46531035 and -11\/27?\nAnswer: 139593105","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/r**(-6\/17)*r)\/r**(-2\/19) assuming r is positive.\nAnswer: r**(794\/323)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of ((-8604)\/45)\/(8*(-2)\/6280)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -2*a + 20. Let m be j(13). Let o(q) be the third derivative of -q**5\/60 - 7*q**4\/24 + 4*q**3\/3 + 2*q**2. Is o(m) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 144 and 8568.\nAnswer: 17136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (12\/(-9))\/(4\/(-6)). Suppose -38 = -3*w - 5*v, -w - b = -3*v + v. Let c be (-22)\/w*(-9)\/3. Calculate the greatest common divisor of 11 and c.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*a + 7046732 - 7046732.\nAnswer: 2*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -0.5 (b) -4\/3 (c) 38 (d) -185 (e) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -m**3 + 0*m**3 + 3*m**3 - 17*m**3 + m**3 - 5*m**3 + (31 - 34 + 5 + 229*m)*(m**2 + 0*m**2 - 3*m**2) as z*m**2 + q*m + b + f*m**3 and give z.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 90 - 46 - 786*k - 46 + 2*k**2.\nAnswer: 2*k**2 - 786*k - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m + 3*m = 0 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-3)\/(-2))\/(3\/(-6)). Let s(l) = 2*l**2 + 3*l - 7. Let x(g) = 3*g**2 + 5*g - 13. Determine j*x(q) + 5*s(q).\nAnswer: q**2 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 301013.3 rounded to the nearest one hundred?\nAnswer: 301000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 489, -12, -11, -3 in descending order.\nAnswer: 489, -3, -11, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5201 and 56.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 33\/78*(-272)\/748.\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3706 and 1090?\nAnswer: 218","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) 3\/7 (b) -27 (c) 19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -32320532 - -151?\nAnswer: -32320341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 339 and 15.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 12 and 36.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -u**2 + 2*u + 19. Let q be r(-3). Suppose -3*l - q*c = -2186, c - 638 - 826 = -2*l. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -15 and -150.\nAnswer: -165","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -60 + 62. Let l(d) = -2*d**n + 8*d + 3*d - 11*d. Let k(w) = -w**2 - w**2 + 3*w**2. Give k(l(a)).\nAnswer: 4*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -63*-3\nAnswer: 189","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -2, 33, -1, -5, -0.9?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) be the third derivative of -5*z**4\/24 + 11*z**3\/3 + 6*z**2. Let o be w(10). Calculate the smallest common multiple of (o\/(-10))\/((-2)\/(-10)) and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 1485.777 kilometers?\nAnswer: 1485777000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -51 + 39. Let f = 16 + c. Let g = 0.8 + 5.2. Put g, f, 2\/5 in decreasing order.\nAnswer: g, f, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 720\/252 + (-16)\/(-14). Suppose 3632 = l*o - 2116. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2.991*0.6.\nAnswer: 1.7946","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-7 - (-741)\/15)*5. Suppose -o - 208 = -14*q. Calculate the greatest common divisor of 960 and q.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2238 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -l**3 + 39*l**2 - 45*l + 171. Let n be z(38). Let y = 131 + -66. Let r = y - n. Calculate the highest common factor of r and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by -1\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6 - -5) + 3 + (0 - -3) - (6 + 89).\nAnswer: -90","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-35)\/15 - 35\/(-15). Solve j = 3*o + 7*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -4*s**2 - s + 4. Suppose -8*x - 3*h = -6*x - 204, 2 = -h. Let c = x + -107. Let g(r) = 9*r**2 + 2*r - 8. What is c*g(m) - 5*i(m)?\nAnswer: 2*m**2 + m - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = o. Let x(j) = -j**2 + 4*j + 6. Let i(l) = 5*f(l) - x(l). What is the common denominator of i(7) and 64\/9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-1\/2)\/q)\/q**(1\/7)*q\/(q\/(q**(-2\/55)\/q))*q**(-2\/21) assuming q is positive.\nAnswer: q**(-6409\/2310)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 90 is divided by -3*(-1 + 16\/(-12) + -4)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -38619 > -38611?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (9 - 82\/10)*(-10)\/4. Let t(b) = -87*b**3 - b**2 + 2*b - 3. Is t(h) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/38 in -40\/9, 2\/3, -3, 0.034, 0?\nAnswer: 0.034","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -2*d + 15. Let o be u(6). Solve 4*m - o = 9 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -302, -300, -298, -296, -294, -292?\nAnswer: -290","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 255, -5, -4, -45.\nAnswer: -45, -5, -4, -3, 255","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*k**3 + 3 - 160*k**2 + 3*k - 1 + 80*k**2 + 82*k**2 as v*k + c + r*k**2 + i*k**3 and give v.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j + 15 = 0, 5*k - 13*j + 14*j = 17 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/l**(-4\/7))**(-2) assuming l is positive.\nAnswer: l**(-22\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1608 to the power of 1\/3, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -1. Let v(c) = c**3 + c**2 - 2. Suppose -3 = -w - 3*u, -3*w + u + 9 = -0*u. Suppose -w*z = -6*z + 3. Determine z*v(h) - i(h).\nAnswer: h**3 + h**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 2*n. Let k(z) be the first derivative of 38*z**2 - 3. Determine b(k(x)).\nAnswer: 152*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*v**2 + 5*v**2 - v**2 + (v - 3*v + 0*v)*(0 - 2*v + 0) + 5*v**2 + 8 - 8)*(5*v - 4*v + 0*v).\nAnswer: 11*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -20877 - -20934. Solve -11 + 68 = -i*r for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2.9 + -3.27. Let x = t - -0.3717. What is x rounded to 3 decimal places?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 2 (b) -0.1 (c) 588\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1201102 + 12001?\nAnswer: 1220110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2241*c + 2237*c - 172*c**3 + 177*c**3.\nAnswer: 5*c**3 - 4*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 197*u**2*y**3 + 5*u*y**3 + 14*u*y**2 - u*y wrt u.\nAnswer: 394*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = k + 13. Let g be j(0). Calculate the highest common factor of g and 52.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 13, 1, 9, 336 in ascending order.\nAnswer: 1, 9, 13, 336","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, s: 4, r: 5}. Give prob of picking 1 v and 1 r.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 146641325.\nAnswer: 5, 5865653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 112 = -4*z + 3*v + 163, 2*v = -2. Solve -2*s + z*s + 40 = 0 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 16 - 24. Let l = -148604 + 148608. Sort -2, q, l in descending order.\nAnswer: l, -2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 25324 and 52?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -195, 274, 0, 6 in increasing order.\nAnswer: -195, 0, 6, 274","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -293 - -291.9. Let d be (7\/(-2))\/(20\/8). Let f = d - -54\/35. What is the second biggest value in f, 0.3, t?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3156.9 - 3157. Which is the third smallest value? (a) y (b) 4 (c) 35\/3 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 65789031 a multiple of 51?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1 + -2. Let f(c) = 2*c. Let k be f(-4). Let t = h - k. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = q**2 - 28*q + 66. Let g be f(28). Are 65 and g equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -187*g**2 - 2*g**3 - 19*g**4 - 2 + 5*g**4 + 91*g**2 + 95*g**2 as n*g + p + f*g**2 + v*g**4 + a*g**3 and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 345*n - 170*n - 166*n.\nAnswer: 9*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 + 5 - 2 - (-12 + (42 - (1 - 3)))?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fff when three letters picked without replacement from fkffkffkffffffff?\nAnswer: 143\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 520 minutes before 12:00 AM?\nAnswer: 3:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 6, -2, -600, 172, 2 in ascending order.\nAnswer: -600, -3, -2, 2, 6, 172","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -1 * 96\nAnswer: -96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) be the second derivative of 3\/4*y**4 + 0 - 10*y - 3\/2*y**2 - 2\/3*y**3 - 1\/20*y**5. Is c(5) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -46950.5825 - 0.4\nAnswer: -46950.9825","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1299035928?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 - 11 = -3*w. Let d = 7 + -4. What is the closest to d in w, -0.3, -4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2436992 and 2066816.\nAnswer: 163278464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) be the second derivative of 0*m**3 - 29*m + 0*m**2 + 1\/6*m**4 - 1. Let a(c) = -82*c. Calculate a(b(y)).\nAnswer: -164*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 14266438?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 86347?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -20 + 2824*s + 75 - 25 - 30 as w + k*s and give k.\nAnswer: 2824","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.02*1.98.\nAnswer: -0.0396","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 850 (base 12) in base 9?\nAnswer: 1586","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2\/13 (b) -4 (c) -4\/7 (d) 603 (e) 0.02 (f) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 1315 = 4*j - 13380. List the prime factors of j.\nAnswer: 19, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 997*b + 1002*b - 2003*b. Let z(i) = -34*i**2. Determine z(a(q)).\nAnswer: -544*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (1 + -5 - -2) + -137*(-18)\/3?\nAnswer: 2, 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5335?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4992230?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 145767.\nAnswer: 3, 48589","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + sqrt(17) + sqrt(612) - (2 + sqrt(272)))**2 + 6*sqrt(17)*-6*3.\nAnswer: -150*sqrt(17) + 202","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1424, -2647, -3626, -4295, -4588, -4439, -3782?\nAnswer: -2551","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -19 take away 4941.6018?\nAnswer: -4960.6018","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 169*s + 2004 - 120*s - 55*s.\nAnswer: -6*s + 2004","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*l - 47 - 13 = 0. Put -3, l, -5, 4 in decreasing order.\nAnswer: l, 4, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = u - 1. Let i be v(5). Suppose -i*s = -s - 12. Suppose -4*t + 2*y + 108 = 0, 66 = t + t - s*y. Is 7 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 52030?\nAnswer: 2, 5, 11, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1392)\/174*(-2)\/((-4)\/1).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1100*q - 387820 = -1090*q + 2180*q. List the prime factors of q.\nAnswer: 2, 19391","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23702 to the power of 1\/2, to the nearest integer?\nAnswer: 154","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 114116 a multiple of 280?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -6542.7 in -0.7, 1\/11, 3.1?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (40 + -6 - 72) + 9.\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = u + 4. Let d = -2 - -27. Suppose 0*o + d = -4*o - 5*v, 3*o = 3*v + 15. Give q(o).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -2*h - 26. Let g be n(-13). Suppose 5*m - 2*v - 12 = 3*m, 4*v + 18 = m. Let l be g + (-5)\/3 + m. What is the nearest to l in 0.5, 3\/4, 3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, 1\/5, 8, 0.2558, -0.1 in ascending order.\nAnswer: -0.3, -0.1, 1\/5, 0.2558, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = -3*r - 16. Does 30 divide (-1 + -7)*30\/r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 divided by -318103?\nAnswer: 8\/318103","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 17113324?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 291 minutes after 6:49 PM?\nAnswer: 11:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:18 PM and 6:57 AM?\nAnswer: 459","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -3765, -15065, -33901, -60273?\n\"Answer: -3768*m**2 + 4*m - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 797611 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1c4 - -1d?\nAnswer: -1a6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5 + -1e?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 less than -3\/5569?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6 - 3. Let p(y) = 2*y - 3. Let w be p(x). Solve 0 = -w*r - 4*a - 1 + 6, 0 = -5*r - 3*a + 12 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((-2 + sqrt(700))*-6)**2.\nAnswer: -25344 + 1440*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 46 minus 3.4662633?\nAnswer: 42.5337367","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.105854711 to 3 dps.\nAnswer: 0.106","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.09? (a) -1.9 (b) 0 (c) 3 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -g**2 + 7993*g - 63888. What is f(8)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 126859.\nAnswer: 126859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -5*j - 11. Is 8 a factor of b(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -9192 by 359.\nAnswer: -9192\/359","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 50 + -46. Let w be (-5 - -7)*6\/y. Suppose w*p = p + 14. Solve -3*n = 3*t - 6, p*n = -t + 2*n - 6 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1108 or -1103?\nAnswer: -1103","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32*h - 130*h + 32*h + 36*h + 34*h.\nAnswer: 4*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/4 of a century in years?\nAnswer: 425","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = 2*p + 12 + 14, 5*p - b = -11. Let q be (-4)\/(-2) - (1 - 0). Sort p, q, -1.\nAnswer: p, -1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 438*i - 5631 + 5631 in the form c + v*i and give v.\nAnswer: 438","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 98432572?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (6 - (2 + 2)) + 4. Solve -j - r = -0*j + l, 8 = -2*l for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2639*b*i**2*u + 5*b*i*t**3*u - 3*b*i*t*u + 3*b*i*t + 2*b*t - 3*i**2*t**3*u - 2*i*t**3*u + 2*i*u - 32*t**3 wrt i.\nAnswer: -5278*b*u - 6*t**3*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -b**2 - 5*b. Let q(x) = -9*x. Let g be q(-1). Let f(a) = -a - 2. Let y be f(-4). Let d(v) = 16*v - v**y + 3*v**2 - 5*v. What is g*t(l) + 4*d(l)?\nAnswer: -l**2 - l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4\/3 + 2\/(-3). Let l = 17.3 + -16. Let u = -0.9 + l. Which is the nearest to -2\/7? (a) d (b) 3\/4 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 16*k - 25. Let i(b) be the third derivative of b**4\/8 - 5*b**3\/6 + 342*b**2. What is 11*i(a) - 2*j(a)?\nAnswer: a - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 0.048091976 times 2\nAnswer: 0.096183952","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 113 - 74. Let a(j) = -11*j**2 - 164*j + 14018. Let o be a(29). Solve o*l + k = -5 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34 = 15*a - 11. Let h = a + 1. Solve -g - 7 = -3*o, h*o - 16 = -0*g - 2*g for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -13 and -9412.\nAnswer: -9425","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 12 in 1\/41, 5, -10, -1, -0.0349?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*s**4 - 524*s**3 - 520*s**2.\nAnswer: -4*s**2*(s + 1)*(s + 130)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 58 - 170 = -o, -115 = -5*i + 5*o. Is 21 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -3*a**2 - 2*a. Let v be ((-21)\/(-3) + -3)\/(-7 + 5). Let g(k) = 6*k**2 + 5*k - 1. Give v*g(n) - 5*m(n).\nAnswer: 3*n**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(90) - (sqrt(90) + 1*sqrt(90))*3)*5)\/(3*sqrt(18) + sqrt(16)\/(sqrt(8) - sqrt(32)))*-4)**2.\nAnswer: 28125\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 14184832.62 + -7.26?\nAnswer: 14184825.36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 154 + -156. What is the nearest to 0.04 in 5\/2, k, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -2*d**2 - 17*d + 4. What is y(-8)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1232224404 + 13?\nAnswer: 1232224422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.0105377 grams to nanograms.\nAnswer: 10537700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -q**2 - q - 4. Suppose 4*z - 6*z + 5*p + 1 = 0, -5*z + 13 = -2*p. What is l(z)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2 + -4. Let s(h) = -h - 2. Let k be s(-4). Let o be (-9)\/(-15) + k\/(-10). Sort i, 1\/2, o in increasing order.\nAnswer: i, o, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 4*o - 5*o. Let m be (3\/o)\/((-2)\/4). Which is the third smallest value? (a) m (b) 2\/9 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 296 minutes before 5:41 PM?\nAnswer: 12:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-7)\/4*(-1 + -1). Let s = k + -3. Let i be (1215\/2835)\/(1\/((-1)\/3)). What is the nearest to s in i, 2, -4\/7?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(220)\/(sqrt(40)\/sqrt(4)))\/(sqrt(11)*2*-2) + ((0 + sqrt(288))**2 + 5 - ((2*sqrt(2))**2 + 2 + (sqrt(2) - (sqrt(2) + -1)) + 5)).\nAnswer: -sqrt(2)\/4 + 277","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor x**4\/4 - 47961*x**3\/4 - 143895*x**2\/2 - 143899*x - 95934.\nAnswer: (x - 47967)*(x + 2)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) be the first derivative of 0*c**4 + 3\/35*c**5 + 0*c**2 - 1\/7*c**3 - 9 + 0*c. Determine t so that q(t) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13, -3, -5, 43, 5, 0.41.\nAnswer: -5, -3, 0.41, 5, 13, 43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 4, -0.5, -3.16, 2, 2\/13 in descending order.\nAnswer: 4, 2, 1, 2\/13, -0.5, -3.16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, 5, -7\/5, -535, -6, 4 in ascending order.\nAnswer: -535, -6, -7\/5, -0.2, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 192459*-6.\nAnswer: -1154754","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-19872)\/2484 - 183\/(-21)?\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 94887.85ng to grams.\nAnswer: 0.00009488785","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 4*i - 2*h, 0*i + 5 = 5*i - 2*h. Let o be 1\/((20\/120)\/(1\/39)). Is o at most i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ynnynnnnnn. Give prob of sequence nyyn.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*o**3 + 165785*o**2 - 331590*o.\nAnswer: 5*o*(o - 2)*(o + 33159)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) be the second derivative of d**7\/210 + d**6\/50 - 3*d**5\/50 - 7*d**4\/15 - 4*d**3\/5 - 8368*d. Solve r(m) = 0.\nAnswer: -2, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -17 - -21. Suppose -2 + j = 2*y. Does 18 divide y\/(-7) + (-253)\/(-7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xga. What is prob of sequence ga?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 2*g + 248 = 205. Calculate the remainder when g is divided by 2\/1 + 0 - -9.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 36794?\nAnswer: 2, 18397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 2345, 2401, 2455, 2507, 2557?\n\"Answer: -p**2 + 59*p + 2287","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-120)\/105)\/((-2)\/((-1)\/(-1)))\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**2*k)\/k**(2\/19)*(k\/((k*k\/k**(-1))\/k*k))**18 assuming k is positive.\nAnswer: k**(-629\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.389035ml in litres?\nAnswer: 0.000389035","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.6 + -12.03?\nAnswer: -14.63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -p**3\/2 - 85*p**2\/2 - 103*p + 1640.\nAnswer: -(p - 5)*(p + 8)*(p + 82)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 64448376 by 222.\nAnswer: 290308","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v**4 + 6468*v**3 - 3382563*v**2 - 3389028*v = 0. Calculate v.\nAnswer: -2591, -1, 0, 436","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3 + -1. Suppose -5*f + 24 = -3*a + 7*a, -o*f + 5*a = -3. Calculate the remainder when 7 is divided by f.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1114, -1120, -1132, -1150?\nAnswer: -1174","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -u**2 - 17912*u - 80209936 = 0. Calculate u.\nAnswer: -8956","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 184*a**2 - 11*a + 92. What is the thousands digit of f(-7)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1778, 11, -4, -3, 3, -11 in ascending order.\nAnswer: -1778, -11, -4, -3, 3, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 25868225501 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) be the third derivative of -r**5\/20 - r**4\/4 - r**3\/2 + 3*r**2 - 13*r. Factor f(g).\nAnswer: -3*(g + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j*j*j**(-16)*j\/((j**(-4\/3)*j)\/j)*(j**(1\/4))**39 assuming j is positive.\nAnswer: j**(-23\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*o - 8, -4*a - o + 4 = -4*o. Suppose -8 = -4*q - 3*v + v, 0 = -a*v - 16. Suppose q*z - 55 = 133. Does 14 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17569066 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 153 minutes after 9:02 AM?\nAnswer: 11:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-4 + 3*i + 4)*(-3 + 0 + 1) + i + 1 - 1)*(1 - 1 - 2*i**2 + (0*i + 2*i + i)*(-2*i - i + 2*i) + 3*i - 134*i**2 + 273*i**2 - 143*i**2)*(0*i + 2*i + i).\nAnswer: 135*i**4 - 45*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*o - 6*o + 2*o + (-8 + 2 + 2*o + 5)*(1 - 3 + 1)*(4 + 3 - 5 + (1 - 3 + 0)*(-4 + 2 + 1) - 1 - 1 + 3).\nAnswer: -12*o + 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/(-3 + 2) + 0.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -47 - -52. Suppose 7*f - 2*f + 4*s - 1 = 0, 0 = -t*f + 5*s + 10. What is the units digit of 2112\/27 + -4*f\/18?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2996.\nAnswer: 2, 7, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/(3\/24*-6)*(52824\/(-48))\/(-71).\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*z**2\/9 + 632*z\/9 + 49928\/9.\nAnswer: 2*(z + 158)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve w = -3*w - 105211*u + 105207*u - 36, 33 = -3*w - u for w.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*sqrt(1331)*5 + (6*sqrt(121)*-2)\/sqrt(11).\nAnswer: 98*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 128 + -123 + (-2)\/114 - 5. Let v = 1 - 1. Are n and v non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 10\/35 - 140002\/7. What is g rounded to the nearest 10000?\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -106 - -437. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-5 + 15)\/(3\/12). Suppose -6 = -2*d, -2*n - 3*n = 5*d - b. Factor 2*z**2 + 7 + 2*z**2 - z - n*z**2 - 5.\nAnswer: -(z - 1)*(z + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -n + 5. Let o = 412 + -412. Suppose -10 = -s - 2*t + 5*t, s - 5*t - 14 = o. Give p(s).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wj when two letters picked without replacement from ijwj.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h**3\/7 + 2*h**2\/7 + 4*h\/7 - 8\/7 = 0 for h.\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.05 - 0.25. What is the second biggest value in -2\/5, 0.4, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -30 - -36. Let g(b) = 2*b - 8. Calculate the least common multiple of 39 and g(w).\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8 + 0 - (18 + -27)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n + 3*n = 4 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 4 - 1)*(-3*v**2 - 3*v**2 + 4*v**2) + (-29 + v**2 + 29)*(1 + 2 - 9) + 4 - 2*v**2 - 4.\nAnswer: -10*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 30.87 rounded to one dp?\nAnswer: 30.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Add -1230465 and 0.38.\nAnswer: -1230464.62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 762919811.076 plus 159?\nAnswer: 762919970.076","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 3*o + 18. What is d(-4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -18, 3\/2, -7\/2, 2\/9 in ascending order.\nAnswer: -18, -7\/2, 2\/9, 3\/2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 46 = -z, s + 3 - 13 = z. Let y(d) = s*d - 4 - d + 5*d**2 + d - 8*d + d**3. Let g = -7 + 3. Calculate y(g).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -4*u**2 + 2*u. Let a(f) be the second derivative of -17*f**4\/12 + 3*f**3\/2 + 4*f. What is 2*a(j) - 9*i(j)?\nAnswer: 2*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -52 + 52. Suppose -r - 4*q + 187 = 0, 0 = -3*r - y*r - 2*q + 571. Let u = r - -34. Is u a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -h**3 + 8*h**2 + h - 4. Let r be z(8). Let k(o) be the first derivative of -3*o**2 + 4*o - 1 + 0*o**3 + 1\/2*o**r. Factor k(p).\nAnswer: 2*(p - 1)**2*(p + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4693\/27468 + 13\/109. Calculate the common denominator of 79\/308 and p.\nAnswer: 2772","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 165\/30 - (-1)\/(-2). Let g be (4\/(-8))\/(2\/(-12)). Solve g*s - l*z = s - 4, -4*z = 5*s + 10 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -160*h**4\/7 - 3356*h**3\/7 - 3116*h**2\/7 + 80*h\/7 = 0 for h.\nAnswer: -20, -1, 0, 1\/40","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = -3 + 19. Let u be 5*-2*2\/10. Let l be u\/3 - 56\/(-12). Solve 2*o - l = y*o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6078 - -6099. Solve -z - 6 = -2*f, -z - 3*z + w = f for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = k + 2*q - 2, -4*q + 9*q - 11 = -4*k. Solve 23 - 11 = k*x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 110 divided by 22\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:13 AM and 1:00 PM?\nAnswer: 647","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -97\/306 and -25\/34512?\nAnswer: 1760112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = j**2 - 66*j + 1302. Calculate q(39).\nAnswer: 249","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Let m = 164 - 278. Let z = m + 118.9. Let f = z - 4.7. Put f, 5, -1\/9 in decreasing order.\nAnswer: 5, f, -1\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (40*x + 25*x - 41*x)*(-x**3 + x**3 + 2*x**3 + (0*x - x**2 + 0*x)*(3 - 3 + 2*x) + x**3 - 2*x + 2*x - 587*x**3 - 50*x**3 - 128*x**3).\nAnswer: -18336*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor o**2\/7 + 584*o\/7 - 7152\/7.\nAnswer: (o - 12)*(o + 596)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u\/((u*u**6*u)\/u))\/u**18*(u**2)**(-7) assuming u is positive.\nAnswer: u**(-37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 470 minutes after 6:51 PM?\nAnswer: 2:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c**(-6)\/c**(-1))\/(c**(-2)\/c*c*c**(8\/5)*c))**25)**(-41) assuming c is positive.\nAnswer: c**5740","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 6152456 to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (-111*l + 130*l - 375*l + 2)*(-11 + 12 - 24) as i + m*l and give i.\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -935 - -935.1. What is the smallest value in 1, -0.4, 4, s?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 21*l**2 - 2*l**3 + l**4 - 4*l**3 + 4*l**3 as h*l**3 + i*l + m*l**2 + s*l**4 + k and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 27*y**2 + y. Let x be d(-1). What is x rounded to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -964*n + 982*n = -126 for n.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 236 divided by -207459.\nAnswer: -236\/207459","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = -j - 147, 2*c + 11*j = 14*j + 61. Let m(b) = 2*b**3 - 76*b**2 - b + 27. Let d be m(c). Let q(y) = -y - 2. What is q(d)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 8*c = -12. Solve -4 = -c*x - 16 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 35 minutes after 6:23 PM?\nAnswer: 6:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*w = -2765 + 2819 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -58264 = 7284*m + 356924 for m.\nAnswer: -57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1860967 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that -9*s**5 + 426*s**4 + 10827*s**3 + 17124*s**2 + 6732*s = 0.\nAnswer: -17, -1, -2\/3, 0, 66","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -48 + -438. Let h = -450 - t. Calculate the greatest common divisor of h and 84.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 73550663 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 44, 0.2, 4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 3, 82, 0 in increasing order.\nAnswer: -4, 0, 3, 82","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 36, 3, 217649.\nAnswer: 3, 36, 217649","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1117542*n**3*v - 3*n**2*v**3 - 42*n*v**3 + 9941*v**2 wrt n?\nAnswer: -6705252*n*v - 6*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -101075 (base 10) to base 16\nAnswer: -18ad3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -8*x + 3. Determine a(2).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 65*i**4 - 5*i**3 + 25*i**2 + 13*i + 11988337 wrt i.\nAnswer: 260*i**3 - 15*i**2 + 50*i + 13","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 2*l + 17. Let b be r(-8). Solve w - 2*w = b for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 1238*z**4 + 6*z**3 + 2687*z - 18. Let m(r) = -1242*r**4 - 5*r**3 - 2688*r + 15. Let w(p) = 6*m(p) + 5*o(p). Find the second derivative of w(l) wrt l.\nAnswer: -15144*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/5 in 2, -2.61, 5, -1\/5, 3?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = 5*w - 28635, 294*u - 297*u + 2*w + 21505 = 0. What are the prime factors of u?\nAnswer: 5, 1433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d + k - 31 = 0, -5*d - 40*k = -46*k + 193 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 8921537 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 503\/3585 + -5\/717. Let z = 7 + -8.4. Let j = z + 1.7. Which is bigger: j or y?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*(x\/x**(-1\/3))\/x)**(-2\/139))**32*(x\/(x\/(x*x**(3\/4)*x))*x**(-7)*x)**(-29) assuming x is positive.\nAnswer: x**(156185\/1668)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 8 + -11. Sort m, 2, -13 in decreasing order.\nAnswer: 2, m, -13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36*n**4 - 43584*n**3 + 13162336*n**2 + 17607936*n + 5875776 = 0.\nAnswer: -2\/3, 606","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -10*w - 116. Suppose 24 = -2*u + 3*p, 4*p + 1 - 37 = 3*u. Let o be h(u). Solve 0*y + 6 = -2*i + 5*y, o*y = 0 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5 - (8 - 8)) + -1 - -12?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 255 minutes after 6:34 PM?\nAnswer: 10:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.21 in -0.3, 1\/10, -4, -2\/17?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 177510993, 355021988, 532532995, 710044020, 887555069?\nAnswer: 1065066148","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9)\/198*24*143\/(-39).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = v**2. Let s(g) = 33988*g**2 + 57*g. Calculate s(n(d)).\nAnswer: 33988*d**4 + 57*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 60\/(-50)*(-9)\/18?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = a**2 + 3*a - 3*a**2 - 2 + 4. Calculate l(3).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -6*n**2 + 5*n + 6. Give y(5).\nAnswer: -119","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 3 (b) 18 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 16 = 2*r + 3, -r - 21 = 2*u. Let g(v) = -2*v - 11. List the prime factors of g(u).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -31 and -117187\/3638 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*m + 2 + 2. Let x be (2\/m)\/(3\/33). Let j = x - -15. List the prime factors of j.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 6867371.1 to the nearest 1000000.\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -100*1075.\nAnswer: -107500","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y - 16 = -3*m, -3*m + 2*y - y + 20 = 0. Find i, given that -2*i**4 + 2 + 4*i + 2*i**3 - m*i**3 + i**3 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 2 e when three letters picked without replacement from {f: 3, e: 11}.\nAnswer: 165\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 372307 and 169.\nAnswer: 169","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that -3*b**2\/8 - 345*b\/8 = 0.\nAnswer: -115, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (-m**2 - 2*m**2 + m**2)*(1 - 5 + 2) + 6*m**2 - 11*m + 11*m as j*m + v*m**2 + f and give v.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -k**2 + k + 1. Let t(v) = v**2 - 3*v - 6. Let j(n) = -4*f(n) - t(n). What is the lowest common multiple of 11 and j(-2)?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = -0 + 15. Let n = -10 + 10. Put 2, n, p in increasing order.\nAnswer: p, n, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 9675685\/11 and 879609 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6713 is divided by 3333?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.027? (a) 1\/4 (b) -1 (c) -7 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 652, 654, 656, 658, 660?\n\"Answer: 2*s + 650","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) be the second derivative of -8*f**4\/3 - 309*f. Let b(j) = j + 11. What is b(r(q))?\nAnswer: -32*q**2 + 11","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 23 + -147?\nAnswer: -124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 1202?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that -5*m**5 - 2060*m**4 - 4100*m**3 + 10*m**2 + 4105*m + 2050 = 0.\nAnswer: -410, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 253.1 - 258. Let i = -4.5 - p. Which is the closest to 0.2? (a) i (b) 0.04 (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 11.4 - 9. Let y = z - 113.4. Let a = y + 111.0000069. Round a to six dps.\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1911 to the power of 1\/2, to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6304?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5\/11 in 3, 204.3, -3\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 63320481 is divided by 439.\nAnswer: 438","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 374 and 68.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t when two letters picked without replacement from tthttttttttt.\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) be the second derivative of -j**5\/20 + 3*j**4\/4 - j**3\/3 - 7*j**2 - 11*j. Let w be p(6). Suppose -10*q + 11*q = w. What is the units digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-110*r**2 + 112 - 112 + (-r + 0*r - r)*(-r + r - 2*r))*(41 - 86 + 2) in the form d*r + v*r**2 + a and give v.\nAnswer: 4558","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 6*z + 98 = -5*z, h = 2*z + 107. What are the prime factors of h?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((12\/(-3))\/2)\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3167 - 11654 = -943*j for j.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:48 PM and 1:31 AM?\nAnswer: 583","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 79 - 54. Calculate the remainder when 73 is divided by a.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 + 2*m + 4)*(m**2 - 4 + 4) + 0 + 0 - m**3 + (-m - 2*m + 5*m)*(-2*m - m**2 + 2*m) to a*m + q*m**3 + g*m**2 + l and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 30\/(-1) + 604340\/17589 + 14\/(-3)?\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 1668*s - 10008. Calculate w(6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(3993))\/(sqrt(33)\/(sqrt(3) - (sqrt(6)\/sqrt(2) - sqrt(3) - sqrt(3)))).\nAnswer: -44*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u**5\/7 - 466*u**4 + 1328444*u**3\/7 + 1338240*u**2\/7 - 2663424*u\/7 = 0.\nAnswer: -2, 0, 1, 816","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 <= -2\/28757?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1469*w**2*x**2 - 4*w**2 + 6051*w*x + w - 2*x**2 + 1 wrt w?\nAnswer: 2938*x**2 - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2310 divided by 10.\nAnswer: 231","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 31.187 times 179?\nAnswer: 5582.473","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) -3 (b) -5.5 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:06 PM and 5:51 PM?\nAnswer: 345","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: ((-306)\/6528)\/(3\/4)\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -9*w**3 + w**2 + 138*w + 540. Let c be i(-4). Solve -c = -3*p - 592 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/7 + (-4)\/(-14). Suppose u + 32 = 3*f, -u + 0*u + 28 = 2*f. Let t be (-15)\/f*40\/(-5). Solve c + t = 2*x for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1745, 6, -5, 0, 3 in increasing order.\nAnswer: -5, 0, 3, 6, 1745","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -4 - (2\/6 - (-12)\/18). Let f be (-9)\/1*11 + -1. Is 6 a factor of ((-3)\/(-4))\/(n\/f)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -x**2 - 9*x + 5. Let m be t(-9). Suppose 28 - 3 = m*d. Put d, -3, 4, -6 in decreasing order.\nAnswer: d, 4, -3, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (4*sqrt(5) - sqrt(5))*-5.\nAnswer: -15*sqrt(5) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -109 + 206. Let f = -85 + w. Suppose 10*q - 12*q + f = 0. What is the lowest common multiple of q and 7?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/41 in -2, 2\/7, 11, -1\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1030 (base 6) to base 10.\nAnswer: -234","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2554.\nAnswer: 2, 1277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 3 (b) -0.2 (c) -132407\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: ((-412)\/44 + 9)\/2\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 28832 is divided by 1270.\nAnswer: 892","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 23, 1, -668, -2?\nAnswer: -668","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 390 and 13962?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 285c + -1500?\nAnswer: 135c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((3*sqrt(77)*1)\/(-3*(sqrt(11) + sqrt(22)\/sqrt(2))) - (sqrt(56)\/(sqrt(4)*2))\/(sqrt(4)\/sqrt(8))).\nAnswer: 6*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2992 and 64.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2e80 (base 16) in base 12?\nAnswer: 6a80","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lzp when three letters picked without replacement from {u: 1, z: 1, l: 1, h: 1, q: 2, p: 1}?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 2804116865 to the power of 1\/8, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -33 + 48. Suppose 13*d - u*d - 5*c = 5, -5*d - 4*c + 13 = 0. Solve -5*w = 20, -d*w - 53 + 17 = -4*b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 19499405?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -43*k**3 + 12*k**3 - 26*k**3 + 38*k + 6*k wrt k?\nAnswer: -342*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-52509)\/(-23) + 18\/2. What is the highest common divisor of p and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1341*l**3 + 2674*l**3 + 918*l**4 - 2*l - 1331*l**3 - 1031 + 0*l wrt l?\nAnswer: 3672*l**3 + 6*l**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -215385 = 45*g - 158108 - 663472. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3\/70, 12\/5, -0.1?\nAnswer: -3\/70","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*m - 12 + 12)*(m + 5*m + 2*m) + (-1 + 5 - 2)*(3*m**2 + m**2 - 2*m**2) + m - m + 2*m**2 - 2*m**2 + 3 - 3.\nAnswer: 60*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 273191951 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + 22 + -13 + -2 + 14 + -68 + 64?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10 + (20 - (17 + -2))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0 - -2 - 3 - -9. Suppose -2*q = -q - s. Is ((-10)\/q)\/((-8)\/352) a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (6\/1)\/((-3)\/(-11)). Suppose -14 = 2*r - n. Solve r*p + 5 = 17 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 3\/4, 0.1, 57, 2\/9, 6\/5 in decreasing order.\nAnswer: 57, 4, 6\/5, 3\/4, 2\/9, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -50*j**3 + 6 + 9 + 21*j**2 + 51*j**3 - 25*j + 10*j**2. Is l(-17) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -1.78515774951 and -89.\nAnswer: -90.78515774951","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-107)\/(-7) + ((-26)\/(-12))\/((-44)\/264).\nAnswer: 16\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-4 + (-110)\/(-25))*10 - 1. Solve y*p + 0*p = -3 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*z - 5*z + 2*z + 2 + (-3 - 4 + 5)*(2*z - 2 + 2))*(-47 - 92 - 2*z + 0*z).\nAnswer: 4*z**2 + 274*z - 278","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -8\/13 (b) 0 (c) -2\/51\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -12*(81\/(-6))\/3. Suppose 2*j = -2*h + p, -2*h = -0*h - j - 60. What is the tens digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 37079*p**2*w**2 + 5*p**2*w + 6*p*w**2 + 9*p*w + p + 197 wrt w?\nAnswer: 74158*p**2 + 12*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 - 16 = -21*c for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3140 - -19269. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -16*g**2 - 2*g*u**2 - 27*g*y + 33*u**2*y + 187*u**2 wrt g?\nAnswer: -32*g - 2*u**2 - 27*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 25 + -25. Suppose h = 7*i + 6*i - 611. List the prime factors of i.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) be the first derivative of -d**3\/3 - 16*d**2 - 117*d - 545. What is g(-28)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 2405814 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-68*m - 16*m**4 + 68*m)*(-4*m - m + 2*m + 0*m - 4*m + 2*m + 3*m - 2*m - 3*m + (3*m + m - 3*m)*(2 - 3 + 2) + (-14*m + 6*m - 8*m)*(0 - 1 - 1)).\nAnswer: -416*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1 - 2. Let z be ((-1)\/(0 + d))\/1. Let a = -1 + z. Solve 0*o + o = a for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 435 - 1015?\nAnswer: -140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 544 and 22.\nAnswer: 5984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -26300 rounded to the nearest 10000?\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1790, 1835, 1880, 1925, 1970?\nAnswer: 2015","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1 + -8. Let c = s - -8. Solve 4*t = 4, 5*y = t + 5 - c for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 12549638?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) be the first derivative of -1\/2*l**2 - 9*l + 5*l**3 + 113. Let j(m) = 8*m**2 - m - 5. Calculate -5*j(u) + 3*q(u).\nAnswer: 5*u**2 + 2*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.52 + 0.82. Sort -0.08, -5, 0, d in descending order.\nAnswer: d, 0, -0.08, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -23 by 204352.\nAnswer: -23\/204352","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -198 = -8*i - 126. Solve 6*m = -i*m - 30 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -2 (b) -2.17 (c) -3 (d) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Add -2874349346 and -12.\nAnswer: -2874349358","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 468 divided by 156\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:44 AM and 1:44 PM?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*r - 88*r**3 + 2*r + 90*r**3.\nAnswer: 2*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -15467, -64644, -146609, -261362?\n\"Answer: -16394*w**2 + 5*w + 922","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 4, 0.2, -9?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 2 n when three letters picked without replacement from nnnnaaa?\nAnswer: 18\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 585 divided by -117?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -127, -134, -141, -148, -155, -162?\n\"Answer: -7*s - 120","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1477 a factor of 43229374?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 3, 0, -61, -8, 5 in descending order.\nAnswer: 5, 4, 3, 0, -8, -61","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13071?\nAnswer: 3, 4357","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 48 a factor of 79?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 236 minutes after 8:40 AM?\nAnswer: 12:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 - (-2756)\/(-1219) - -17?\nAnswer: -6\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -436 = 107*z + 257 + 163 for z.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:45 PM and 3:20 PM?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*v**2 + 490*v + 1000.\nAnswer: -5*(v - 100)*(v + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/8 + 168\/32. Solve d*m - 7 = 3 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 102 = 28*i - 11*i. Solve y + 0*u + 2*u = i, -5*y + 9 = 3*u for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1769, -1\/2, -24?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5547?\nAnswer: 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 11*j**3 + 61*j**2 - 25*j - 145. What is h(-6)?\nAnswer: -175","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = -3*p. Let b(g) = -g + 5. Let c be b(4). Suppose -c + 4 = l. Sort p, -2, l in decreasing order.\nAnswer: l, p, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3 - 1. Let g = y - 1. Solve g = 4*o + 5 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -15201, -15200, -15199, -15198?\nAnswer: -15197","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -6b820 (base 12) in base 4?\nAnswer: -203103120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*t + 28*t = 0, -8 - 5 = 4*k - t - 1 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (11 + -1 + 7 - 11) + 23?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 68 + -220. Let t = -162 - g. Let h(f) = f**2 + 10*f + 13. Give h(t).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2 + 657d?\nAnswer: 657f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) be the first derivative of v**4\/108 - 5*v**3\/54 - v**2\/3 - 6*v - 7. Let g(o) be the first derivative of u(o). What is q in g(q) = 0?\nAnswer: -1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*y**3\/6 - 1475*y**2\/3 + 43045*y\/6 + 23000\/3.\nAnswer: 5*(y - 575)*(y - 16)*(y + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -6 (base 11) to base 8\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1 + 1. Let m(o) = -i*o + 3*o - 4 + 3. Suppose -119*b + 552 = -27*b. Calculate m(b).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19167 = -34*a - 18759 for a.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 341839219 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -18*u**3*z**3 + 4443*u**3*z**2 + 3*u**2*z**3 + 21*u**2 - 36*u*z**3 - u wrt u?\nAnswer: -108*z**3 + 26658*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 137395, 137392, 137387, 137380?\nAnswer: 137371","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -2*w**3 - 37*w**2 + 203*w - 13. Determine t(-23).\nAnswer: 79","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 67 minutes after 11:11 PM?\nAnswer: 12:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4762 + 4762. Let o(w) be the second derivative of 28*w + y*w**4 + 1\/2*w**2 + 0 + 7\/10*w**5 + 0*w**3. Give o(-1).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 832 is divided by 31.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -36*p + 2*p + 39*p + 3.\nAnswer: 5*p + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v - 8*v + 3*c + 2 = -5*v - 6*v, -4*c = 0 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1047587*w**5 + 5422*w**2 - 944 wrt w?\nAnswer: 62855220*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*j + 4*j - 27. Let z be ((-3)\/j)\/(2\/(-54)). Let b(w) = 2*w + 12. Calculate b(z).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (5 - 3) + (5 - (-520)\/(-75))?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 162 = -284. Let i = n - -449. Solve t + 3*t = 5*y - 32, -i*y + 5*t + 27 = 0 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -588*m*t**2 - 1091*m - 2*t**4 - t**2 + 1 wrt t?\nAnswer: -1176*m*t - 8*t**3 - 2*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*p - 2*p + p + (3 - 6 + 1)*(-1 + 1 + 2*p) + 0 + 0 - 2*p + 0*p + p - 2*p + 5*p - 2*p - 4*p + p + p - 3*p - 5036733*p - 674 - 282 + 5036727*p.\nAnswer: -13*p - 956","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-5)\/(u*u*u**(2\/7)*u))**(2\/157) assuming u is positive.\nAnswer: u**(-116\/1099)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14 - -1806017319928.\nAnswer: 1806017319942","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = 3*o - 0*o + 10, 14 = -3*q - 5*o. Let c be 7\/(-56) - (-5)\/q. What is the third biggest value in 2\/15, -3, c?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 50 - 4. Suppose -x = -4*o + 134. Let d = o - 3. Is 7 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 29 + -32. Let y be 1*42\/(-9) - (-4)\/b. Is 4 a factor of -4*1*(y - 2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 146632\/7 - 20947. Let j(q) = -q**2 + 9*q + 2. Let k be j(0). Factor -v*i**k + 24\/7*i + 0.\nAnswer: -3*i*(i - 8)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -m**2 - 9*m + 7. Let w be d(-6). Suppose w = l + 4*l. Suppose 0 = 83*g - 79*g. Solve -l*a + g*a = 5 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 6, -4, -2, 4, 77104\/5, 5, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 24\/(-36)*9\/(-12)*1\/(-6).\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-24)\/9*(-6)\/4. Suppose -l*c + 33 = -7. What are the prime factors of c?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1936 (base 16) to base 4.\nAnswer: 1210312","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -s + 6*s - s - 3*s.\nAnswer: s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 248 divide 5660537504?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 = 2*t + 7*t for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:16 PM and 2:04 AM?\nAnswer: 408","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) be the second derivative of 2\/9*i**3 - 1\/15*i**5 + 0*i**4 + i - 1\/3*i**2 + 0 + 1\/45*i**6. Factor r(u).\nAnswer: 2*(u - 1)**3*(u + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4 and 151048.1.\nAnswer: 604192.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 1 x when two letters picked without replacement from {x: 1, u: 2}?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101 + 1001010110011101000001?\nAnswer: 1001010110011101000110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*g - 8*g + 4*f + 235, 3*f = 4*g - 188. Let i = g + -25. Does 22 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 3*o**2 + 21*o + 69. Let s be a(-9). Let b = s + -119. Solve 0 = b*y + 3 + 5 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 + 2*c**4 + 2 + (0 + 0 - 2)*(c + 2*c**4 - c) + 0*c**4 - c**4 + 4*c**4 - 3*c**4 + 4*c**4 + 0*c**4.\nAnswer: 2*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qqrrqiirqrr. What is prob of sequence riqr?\nAnswer: 2\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in -1\/7, 0, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-1152)\/(-15))\/((-3)\/(-10)). Let z = -138 + x. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -126, -100, -74, -48?\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 729, 639, 479, 243, -75, -481, -981, -1581?\nAnswer: -2287","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12\/(-16) + 7\/28.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/(-1)*9 + 1. Suppose 4*w + 8 = -4*d - 16, -2*w = -5*d + y. What is the third biggest value in -0.3, w, 0.3?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lxxxlslkxs. What is prob of sequence slsx?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 1914 = z, 0 = -i + 314*z - 312*z + 951. What is the remainder when i is divided by 388?\nAnswer: 183","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g + 3 = 4*v - 2*v + 36, 14 = -v for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 8*c**4 - c**4 - 2*c**4 - 2*c**4 - 20*c + 20*c + (0*c**3 - c**3 + 5*c**3)*(0 - c + 0) as d*c**3 + q*c + f + x*c**4 + u*c**2 and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000612574 rounded to 7 decimal places?\nAnswer: -0.0000061","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/4 of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(672) - (sqrt(672) - (sqrt(672)*5 - sqrt(672)))*6)*6)\/((sqrt(180)\/sqrt(5)*6)\/((-2*sqrt(72))\/sqrt(12) - sqrt(6) - sqrt(6))).\nAnswer: -304*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 9\/23 (b) -0.23 (c) -1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -349 divided by 12372.\nAnswer: -349\/12372","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:53 PM and 1:37 AM?\nAnswer: 344","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -90*i - 84*i + 54*i - 21*i as p*i + f and give p.\nAnswer: -141","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + 20 = -5. Let w(r) = -r - 5. Let h be w(x). Suppose h = -5*c - 3*m + 83 - 4, -26 = -c - 4*m. Is 13 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*s**2 + 28*s - s**2 - 3*s)*(4 - 1 - 2).\nAnswer: -3*s**2 + 25*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 367.5904 millennia?\nAnswer: 3675.904","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*k - 9 = 30 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-9084)\/10)\/((-24)\/80*1)?\nAnswer: 2, 757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 81\/4 of a meter?\nAnswer: 20250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-145)\/(-58) + (-5 - 0).\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - 9 = -3*p, 3*v + 3*p = -0*v - 15. Let h = -2940 + 8821\/3. Which is the fourth biggest value? (a) h (b) 4 (c) 5 (d) v\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5056 + 5053. What is the nearest to 0 in g, 1\/8, 20, -1\/5?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 140\/(-6)*72\/(-30). Suppose 5*k + 56 = -3*o, -5*o - 4*k - s = -5*k. Does 20 divide o*(-4 - 9\/(-6))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -25\/81 and -17\/27.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 70067924?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2063943730 to the nearest integer?\nAnswer: 1273","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*q + q - 4*q - 3*q)*(5*q**2 - 6*q**2 + 3*q**2).\nAnswer: -22*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is (90\/(-60))\/(9749\/(-9746) - -1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 1200*f**3 - 275*f**2 + 276*f**2 - 125*f**3 + 0.\nAnswer: 1075*f**3 + f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 442929 to the power of 1\/8, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 7*z**2 - 4*z. Let b(o) = -84*o**2 + 49*o. Let a = 40 - 36. Let v(x) = a*b(x) + 49*l(x). Let y(f) = f**2. Determine y(v(s)).\nAnswer: 49*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 4*o - 1 = 0, 4*d + 4*o = 2*d + 14. Let q = 23 - 8. Let r = q + -12. Solve -4*y + 4*u = -16, r*u - 4 = -d*y + 8 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = -5*n + 25, -n - 6 = -3*b - 17. Find the third derivative of -27*v**2 - 12*v**4 - 2*v**n + v**4 - 25*v**4 wrt v.\nAnswer: -864*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = c. Suppose y = -2*m - 3*m + 6, -4 = y. Let j(h) = h + 1. Let s be j(1). Let v(l) = -l - l - 2*l**m + s*l. Give n(v(o)).\nAnswer: -2*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -w**2 - 4. Let a = 13 - 13. Let k be p(a). Put -5, k, -2 in decreasing order.\nAnswer: -2, k, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-10)\/((28\/8)\/(-7))*23 is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y + y + 201*i - 197*i = y - 127, -y - 4*i + 103 = 0 for y.\nAnswer: 115","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5395 is divided by 526.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1190719000 to the power of 1\/2, to the nearest integer?\nAnswer: 34507","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -917260 to the nearest 1000000.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 189 - 189. Solve m = -29*d + 24*d + 10 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (50 + -264)*((-2)\/(-2))\/(-2). Suppose -j*o + 102118 = -105*o. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 13) to base 11.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5*u**4*v**2 + 18052*u**2*v**2 - 10*u*v + u - 2*v**2 + 454*v - 2 wrt u?\nAnswer: -60*u**2*v**2 + 36104*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2437666?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/((d\/d**(-2\/5))\/d)*d)\/d*d**0*d**4*(d*(d**(-3\/5)*d)\/d*d)\/d*d assuming d is positive.\nAnswer: d**6","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) be the first derivative of a**4\/2 - a**3\/3 + a**2\/2 - 2*a + 3. Let k = 8 + -6. Is q(k) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3456 take away 25605.996941?\nAnswer: -22149.996941","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4.8 + 0.2. Let m = -18.1 + 19.1. Which is smaller: z or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-3*sqrt(420))\/sqrt(12) - sqrt(35))*-3)\/(-3*(sqrt(112) - sqrt(112)*4 - sqrt(7))).\nAnswer: 4*sqrt(5)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 659 is divided by 51.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3106942 is divided by 550?\nAnswer: 542","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5704, -22731, -51108, -90835?\nAnswer: -141912","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3338 + -2948. Sort -3, d, 0 in descending order.\nAnswer: d, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 68 and 2894403.683.\nAnswer: 2894471.683","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -126, -260, -398, -540, -686, -836, -990?\n\"Answer: -2*x**2 - 128*x + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = t**3 + 4*t**2 + t + 3. Let s be f(-4). Suppose 5*h + 4*q + 66 = 0, -42 = -2*h + 5*h + 3*q. Let c be h\/40*(-22 - -2). Is c smaller than s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -2\/5, 6, -3, -2\/11, -3\/7 in decreasing order.\nAnswer: 6, 5, -2\/11, -2\/5, -3\/7, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -121 + 112. Let f(x) = 5*x**3 - 7*x**2 + 8. Let w(j) = -2*j**3 + 3*j**2 - 4. What is c*w(q) - 4*f(q)?\nAnswer: -2*q**3 + q**2 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -187 - -222. Let z = 32 - d. Let b(s) = 0*s - 2*s - 3 + 4*s. Calculate b(z).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 0 - 3)*(-5*c**4 - 14*c**4 - 21*c**4).\nAnswer: 40*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + 4*-1*sqrt(13))**2*2.\nAnswer: 80*sqrt(13) + 466","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 34220 - 34202. Sort 0, -3, l, 3, 22 in descending order.\nAnswer: 22, l, 3, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7409 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 90 + -3 - (-2321465)\/(-26715).\nAnswer: 4\/39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + v = -4. Let k = v - 2. Suppose 0 = 3*a - 12. Put k, a, 1 in ascending order.\nAnswer: k, 1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.0091 times 323220\nAnswer: -2941.302","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (16\/6)\/((-2)\/(-6)). Suppose -2*l - h - c = -4*h, -l = 2*h - 10. Suppose j + 0*j = l. Solve 0 = j*q + 3*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (38\/(-76))\/((-4)\/112)*(-2)\/(-5)\nAnswer: 28\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = 9 - 29. What is the remainder when ((-9)\/(-15))\/(2\/130) is divided by q?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 16471 - 3501. Let z = 12964.761 - a. Let w = z + 5.2. Round w to two dps.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*t + 1 - 1)*(8*t**2 - 6*t**2 + 25*t**2 + 3*t**3 + (0*t + 0*t - 2*t**2)*(3*t - 3*t - t)) to the form d + i*t + m*t**3 + k*t**2 + g*t**4 and give m.\nAnswer: -81","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 479 is divided by 16?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 3*x = 5, -5*x = 2*u - 17. Suppose 0 = -2*g + 12*g + 4*g. Put 2, -3, u, g in increasing order.\nAnswer: u, -3, g, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00909273 to two dps.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 223460 - 147583. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 2*a - 2718 = -91, -p - 2*a = -2631. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.79 times 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.31 - 28.\nAnswer: -28.31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhhhhhehoo. What is prob of picking 1 e and 1 o?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -403, -3, 3, 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-5\/8)\/v*v**13*v\/(v\/(v\/v**12))*v\/v**(-9))**9 assuming v is positive.\nAnswer: v**(747\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 386 minutes before 9:57 AM?\nAnswer: 3:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 5*3*(-1)\/12*-4\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3.1 - -3. Let t = 3195 + -3191. Let w be (2 + -1)\/(-2) - 0. Which is the nearest to u? (a) w (b) 1 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by 41693.\nAnswer: -4\/41693","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) be the second derivative of v**2 + 0 - 1\/2*v**3 - 3*v. What is the first derivative of z(y) wrt y?\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**1)**(-4\/13)*(z*z\/z**4)\/((z*z**(-2\/9))\/z*z) assuming z is positive.\nAnswer: z**(-361\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -8266, -11419, -14570, -17713, -20842, -23951, -27034, -30085?\n\"Answer: l**3 - 5*l**2 - 3145*l - 5117","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Add -2.68 and 5.\nAnswer: 2.32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -108618 - -75272320\/693. Find the common denominator of -71\/66 and b.\nAnswer: 1386","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -5*k**2 - 8*k + 7. Let s be c(-3). Let n be (-2 - s)*(44\/21 - 2). Factor 8\/7*b - n - 2\/7*b**2.\nAnswer: -2*(b - 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -8*b**3 + 3*b - 30. Let r(i) = 15*i**3 - 5*i + 59. Suppose j + 18*j = -57. Let n(k) = j*r(k) - 5*s(k). What is the first derivative of n(m) wrt m?\nAnswer: -15*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 32?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1\/15, 2\/27, -0.07?\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -570, -1358, -2378, -3630, -5114, -6830?\n\"Answer: -116*a**2 - 440*a - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 342\/133*126\/27\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor p**5\/2 + 901*p**4\/2 + 2243*p**3 + 2686*p**2 - 1796*p - 3584.\nAnswer: (p - 1)*(p + 2)**3*(p + 896)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3 in -238, -3\/8, -2, -1\/165?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.06 less than -0.11560645?\nAnswer: -0.17560645","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -587 - -575. Let x be (14\/l)\/(357\/(-102)). Put 0.52, -0.2, x in ascending order.\nAnswer: -0.2, x, 0.52","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(1\/19)*m)\/(m*m**(-7\/3)*m)*((m*m\/(m*m**(-1\/6)*m))\/m)\/((m**(-11)*m*m)\/m))**(2\/21) assuming m is positive.\nAnswer: m**(401\/399)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 1331 (base 8) to base 15\nAnswer: 339","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1.04353926 - -1.95354233. Let q = -0.91 + b. What is q rounded to 7 dps?\nAnswer: 0.0000031","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -c**3 - 5*c**2 - 5*c + 9. Let l be u(-2). Let x(r) be the third derivative of -1\/12*r**4 + 0*r + 0*r**3 + l*r**2 + 0. Let s(w) = w. Give s(x(i)).\nAnswer: -2*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -3*z + 5 + 4 - 9. Suppose 0 = -4*o - 0*o + 8. Let s(y) = -2*y + y + o*y. Give s(g(x)).\nAnswer: -3*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7804 + 140*n - 7804 - 133*n.\nAnswer: 7*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 60040 by -2.\nAnswer: -30020","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 89 + -54. Suppose 17*l - 64 = 13*l. Let w = 16 - 12. Solve -3*v + l = z + 2, -s = -w*z - 5*v for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-156)\/18*-3 - 81080\/2027.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1613 - -4974. What is the tens digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2 or 6022?\nAnswer: 6022","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -7*g**2 - 2*g**2 + 4*g**2 + 3*g**4 wrt g?\nAnswer: 72*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = p**3 - 10*p**2 + 8*p + 5. Let y be b(-15). Round y to the nearest one hundred.\nAnswer: -5700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = -113 + 115. Which is the smallest value? (a) 6 (b) -1\/2 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = 4*k - 4, 5*b + 4*k = 9*k + 15. Suppose -b = -2*n + 8. Suppose d + 20 = n*h - 17, 5*h = 4*d + 28. Is h a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16005*u - 16006*u - 16595*u + 48612*u.\nAnswer: 6*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -a**3 - 3*a**2 - a - 7. Let y = 2 - 5. Let i be w(y). Let l be ((-60)\/14 - i)*-7. Solve 2*g + 5*p = 0, 0 = l*g + 2*p - p - 8 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 189300498.\nAnswer: 2, 3, 307, 102769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -44*r**5 + 48723*r**3 + 8906575*r**2 wrt r?\nAnswer: -2640*r**2 + 292338","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(36)\/(sqrt(972)*5) - sqrt(9)\/((sqrt(9) + sqrt(63)\/sqrt(7))\/sqrt(3))).\nAnswer: -43*sqrt(3)\/90 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 15.99 take away 12.7?\nAnswer: 3.29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2 - -7. Suppose -5*v + 2*d + 2 = 0, 4 = d - 0. Sort b, -2, v.\nAnswer: -2, v, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-6)\/(-24) + (-3 - -4). Let x be 0 - -1 - 1\/2. Suppose -x - u*c + 4*c**2 - 9\/4*c**3 = 0. Calculate c.\nAnswer: -2\/9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*b**2\/3 - 1280*b - 42724\/3.\nAnswer: 4*(b - 971)*(b + 11)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -1.4, 2.076, 70, -5, 4, 2\/19 in decreasing order.\nAnswer: 70, 4, 2.076, 2\/19, -1.4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3 - 1. Let x = 0.34 + 0.16. What is the smallest value in x, -2\/3, r?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + 6 + 8 = -y, 0 = -3*y - t + 14. Solve 21 - y = -3*v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 46756 a multiple of 68?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = r**2 - 3*r. Let n be a(6). Let y = -11 + n. Let q = y - 2. What is the units digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -142609, -142457, -142293, -142111, -141905, -141669, -141397, -141083?\nAnswer: -140721","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -473*k - 1817*k + 115*k.\nAnswer: -2175*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 328\/(61664\/(-4794))*2\/(-15)*-1\nAnswer: -17\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 239 = a - 5*v - 0, a - 2*v - 251 = 0. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10*5\/25*-2\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3577868 divided by 894467.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-8)\/3)\/(-4))\/(4\/(-3))*(-120268)\/562?\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -0.6, -0.5 in descending order.\nAnswer: -0.5, -0.6, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1496 - -3647. Is 39 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 100*c + 0 - 9 - 32*c - 2 + 13.\nAnswer: -132*c + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -7350 divided by -5?\nAnswer: 1470","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 9405583610 from 0.4.\nAnswer: -9405583609.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -540000 to the nearest one hundred thousand.\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:38 AM and 7:57 PM?\nAnswer: 559","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2616.\nAnswer: 2, 3, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 2, 14900752.\nAnswer: -1, 2, 14900752","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + -9 - (-3 - -2) - -4.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1.2, 3, 1\/2, -6, -2\/3 in decreasing order.\nAnswer: 3, 1\/2, -2\/3, -1.2, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = 9*o. Solve -3*j - 3*k - 5 = 4, -2*j + 4*k - 18 = o for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8089984 to the nearest integer?\nAnswer: 2844","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -35.49, -30, 7, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*g - g + 2*g + (-2 + 1 - 1)*(-g + 2*g - 2*g) - 4*g + 0*g + 5*g + 2*g - g + g + (-10 + 1 + 0)*((3 - 3 - g)*(6 - 3 + 0) - 11*g + 8 - 1 - 6).\nAnswer: 130*g - 9","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.0033 + -573749.\nAnswer: -573748.9967","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o**5 - 825861*o**4 + 75832693794*o**3 - 2327135681654940*o**2 + 418732097420141544*o = 0. What is o?\nAnswer: 0, 181, 91702","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 2*t + 32 = 0, 30 = 2*f - 0*t - t. What is the remainder when 111 is divided by f?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5)\/(((-805)\/(-49))\/(-23))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1940446?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:33 AM and 12:36 PM?\nAnswer: 423","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 6119 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2.9 + -6.5.\nAnswer: -3.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2.7 (b) 0.06 (c) -1 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -5300 to the nearest one thousand.\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3223032333 (base 4) to base 12.\nAnswer: -3a5713","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p - 1322 + 1321 = -2*q, 3*p + 23 = 4*q for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l when two letters picked without replacement from ljllljljjjlj.\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 103061\/18 - 5732. Calculate the common denominator of -38 and q.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 31 + 25 + 16 - 90 + 19. Let u(n) = n + 1. Let i(h) = h**2 - 5*h - 3. Let t be i(6). Determine t*u(b) - x(b).\nAnswer: 3*b + 2","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: What is -1021 (base 4) in base 11?\nAnswer: -67","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1\/1 + (2 - 40\/(-2)). Differentiate n - 107*i + 28*i**3 + 107*i with respect to i.\nAnswer: 84*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -38021 and 0.465944758?\nAnswer: 38021.465944758","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (w + 2*w - 6 - 2*w)*(-48 - 1 + 5)*(4 - 3 - 4).\nAnswer: 132*w - 792","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 15 + 0. Let g(f) = -f**2 - 14*f - 10. Let n be g(-9). Let u be 4*n\/(-14)*(-18)\/4. What is the greatest common factor of h and u?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7449338?\nAnswer: 2, 13, 286513","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*k**3 - 239162*k**2 + 239257*k**2 + 350*k + 5*k**3.\nAnswer: 5*k*(k + 5)*(k + 14)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 3, y: 1, t: 1, i: 5, q: 4}. Give prob of sequence th.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1240 and 372.\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -505.91 + 506. Which is smaller: -4\/9 or s?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -45377\/4 or -11344?\nAnswer: -11344","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (159\/(-424))\/((-3)\/(-44))*2?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + 0 + 2 + 0?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2 - -12)*4\/(-8). Let c be (-37)\/g - (-4)\/(-10). Suppose -4*l - 28 = 4*n, 2*n = -c*l + 2*l - 29. Sort 5, l, 1 in increasing order.\nAnswer: l, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xxx when three letters picked without replacement from sxsdsxxxxwxddxxxxxxs?\nAnswer: 11\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -6, -950, 0, -31\/4?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 190 + -946\/5. Which is the nearest to 0.1? (a) -4 (b) f (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l\/(l*l**(-21))*l**(8\/5) assuming l is positive.\nAnswer: l**(113\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 272367*x + 3 - 136292*x - 136263*x.\nAnswer: -188*x + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4 + 4*l**3 - 3*l - 7*l**4 + 8*l**4 - 5 + 2 to m*l**3 + c*l + z + k*l**4 + t*l**2 and give m.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-12)\/(-64)*4)\/(6\/2).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 3*r = -20, 0*r = 4*k - 5*r - 45. Suppose 0 = 3*b - 260 + 275. Let y be 1 - 0 - (-2 - (b - -4)). Sort -2, -1, y, k in descending order.\nAnswer: k, y, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6 and 2422.\nAnswer: 7266","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2.9 + -3. Let w = -0.4 - y. Which is the second biggest value? (a) w (b) -5 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 a factor of (-5 - 2 - 1) + 987?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = 90 + 65. Find the second derivative of -i*k**3 + 1575*k**2 - 1575*k**2 + 35*k + 0*k**3 wrt k.\nAnswer: -186*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in one quarter of a millennium?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2 + -2 + (-6)\/3. Let r be 75\/18 - c\/(-12). Solve u + 10 = -i - r*u, -16 = 4*i - 4*u for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.1 + -0.1. Let f(n) = -n**2 - 5*n + 1. Let z be f(-4). What is the nearest to 1 in -1\/3, b, z?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22401397 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2430 to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 3*r + 11 = y, -5*r = 5*y + 20. Which is the smallest value? (a) -5 (b) 2\/9 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 17 + -14. What is the third biggest value in -0.2, j, 4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(55)\/(sqrt(1331)*-2 + sqrt(1331) - sqrt(1331) - sqrt(1331)).\nAnswer: -sqrt(5)\/33","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -262, -990, -2136, -3646, -5466, -7542, -9820, -12246?\n\"Answer: 9*k**3 - 263*k**2 - 2*k - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4 + (-95)\/(-2)*(15120\/(-50))\/(-21) is divided by 52?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 285 divide 81703?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 - -1 - (-9 - -19 - 9)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 20\/9? (a) 1 (b) -3\/2 (c) 2\/5 (d) 3 (e) 2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = 5*f - 14, -4*w = 2*f - 23 + 3. Suppose -f*r + 4*o = -16, 0*r = -4*r + 3*o + 32. Solve 0 = r*b - 4*b + 20 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 5 - 1?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -164066 + 13?\nAnswer: -164053","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 14659880847\/134 - 109402753. Suppose -711 = -o + 5*v - 54, 0 = 4*o - v - 2628. Let r = o + b. Calculate the common denominator of r and 9\/8.\nAnswer: 536","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12515 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -224*o**4 + 2*o**3 + 27*o**2. Let s(k) = k**3 - k**2. Let i(d) = c(d) - 2*s(d). What is the third derivative of i(z) wrt z?\nAnswer: -5376*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 - ((135 - 72) + -31)?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1887695377 to the nearest integer?\nAnswer: 43448","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -95 + 144. Calculate the remainder when h is divided by 26.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 3*r - r + 6 - 4*r. Let d be w(8). Let m(y) = -y**2 - 12*y - 14. What is the units digit of m(d)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -69*o. Let d(t) = -116*t**2. Give d(p(i)).\nAnswer: -552276*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.2 - 0.6. What is the closest to 1 in 0, -6, g?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2766925 is divided by 19.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4.1 + 3.9. Which is the fourth biggest value? (a) n (b) 0.1 (c) -7 (d) 2\/19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -167099657, -167099664, -167099671?\n\"Answer: -7*n - 167099650","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9 - 9*f + 31*f - 9.\nAnswer: 22*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 105 and 112?\nAnswer: 1680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/(-5)*(3 - 2). Let o = 2 - 2.5. Let i = -10 - -10. Which is the nearest to i? (a) o (b) -5 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 6.1 and 0.06.\nAnswer: 6.16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = u**3 - 3*u**2 - u - 1. Let v be p(4). Suppose 3*a - v = 70. Solve -m - a = 3*m + 5*n, 5*m + n = -18 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1906 is divided by 83?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a milligram in micrograms?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -9*b. Let y(j) = -j**2 + 4*j**2 - j**2 + 0*j**2. Determine q(y(m)).\nAnswer: -18*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 3116673591 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -28 + 28 + -1 + 3 + 1\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-4\/3)\/u)**34\/(u**(-13)\/u*u*u\/(u*u*u**22)*u) assuming u is positive.\nAnswer: u**(-133\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45*f - 25*f + 7560 = 25*f + 13*f for f.\nAnswer: 70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.19 - -0.21. Put -4, -0.5, v, 1\/7 in decreasing order.\nAnswer: v, 1\/7, -0.5, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -1*(1\/(-3) + 2). Let v(d) = -d**2 - 12*d - 17. Let m be v(-8). Let l be 12\/14*-2*10\/m. What is the smallest value in -4, f, l?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3056 = -2*p + z + 3057, -z + 29 = 4*p. Put -4, p, 1, -25\/176 in ascending order.\nAnswer: -4, -25\/176, 1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 497653 divided by 81\nAnswer: 497653\/81","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Do 0 and 1\/1536867 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -40 + -1 + 18 + (-62 - -40)?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3*(-20)\/90)\/(3\/18)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*d - 2*u + 5, 5*d - 1 - 19 = u. Suppose -3*n + 6 = -n. What is the second derivative of -4*f + 0*f + f**n + f**d + 3*f wrt f?\nAnswer: 12*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42*g = 47*g - 665. What is the tens digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-143189)\/93)\/(-149))\/((-3)\/((-45)\/5))?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the third derivative of j**5\/60 + j**4\/6 + j**3 - 10*j**2. What is i(-4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-14*(-17)\/(-1666))\/((-2)\/(-21))\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 313 minutes after 11:15 PM?\nAnswer: 4:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 21*y + 5*y. Suppose 15*o - 22*o + 238 = y. What is the highest common divisor of 442 and o?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = u**3 + u**2 - 1. Let v(s) = 5*s**3 - 3*s**2 + 4*s - 6. Let o(d) = 6*r(d) - v(d). Is o(-9) a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 244*l**2 - 105*l**2 - 7*l - 140*l**2.\nAnswer: -l**2 - 7*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-20)\/6*6*3\/105.\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2468 greater than or equal to 2469?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 15 + -16. Let k be 4*(-1)\/(-4) + b. Suppose -4*q + 126 = -5*i, 4*q - 2*q + 4*i - 76 = k. What is the units digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = -0*i - 9, -4*q + 3*i + 3 = 0. Which is the nearest to q? (a) -2\/5 (b) -25 (c) 2\/19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3501649?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 521*t**2 - 2794*t**2 + 2255*t**2.\nAnswer: -18*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 28? (a) -19\/5 (b) 2 (c) 4 (d) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.02 - -0.38. Let i = 6 - 4.2. Let f = i + 0.2. Put a, 3, f in decreasing order.\nAnswer: 3, f, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = c - 6. Let z = -5302 + 5296. Let k(v) = -10*v + 65. Determine z*k(j) - 65*d(j).\nAnswer: -5*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 211?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2337*r + 735*r - 13720 = -750*r - 712*r for r.\nAnswer: -98","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that 10546*l**2\/3 - 43*l\/3 = 0.\nAnswer: 0, 43\/10546","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (24*w**2 - 27*w**2 - 56*w**2)*(-2 + 2 + 2*w) - 25*w**3 + 6*w**3 - 3*w**3.\nAnswer: -140*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 96 = 3*z + 18. What is the greatest common factor of 26 and z?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -a**2 - 5*a + 33. Let o be p(0). Let y = o + -33. Solve -2*m + 0 + 4 = y for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 13713 - 274171\/20. Let i(q) = -3*q**3 - 3*q - 2. Let p be i(-1). Calculate the common denominator of 189\/(-18)*6\/p and n.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) be the first derivative of -12*s**3 - 111*s**2\/2 - 9*s + 397. Let o(w) = 0. What is w?\nAnswer: -3, -1\/12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -18516.9 + 18517. Which is the nearest to n? (a) 5 (b) 0.3 (c) -0.02 (d) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -7*d. Let z(j) be the second derivative of j**3\/3 - 68*j + 2. What is -5*g(f) - 21*z(f)?\nAnswer: -7*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -4.4, -30, 0, -4, 11?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 639 or 1195?\nAnswer: 1195","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*w - 2*w - 1 + 0*w)*((-4*w**3 + 6*w**3 - 4*w**3)*(-3 + 2 + 3) + w**3 + 9*w**3 - w**3 + 2*w**3 + 2 - 2 + (-2*w - 3 + 3)*(w - w - w**2)).\nAnswer: -18*w**4 - 9*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -277, 1\/4, -0.4 in increasing order.\nAnswer: -277, -0.4, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31*u + 37141 - 231*u**3 + 458*u**3 + 31*u - 193*u**3 - 37141.\nAnswer: 34*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 87384 - 87382. Suppose m - 3*j = 3*m - 43, -5*m + 4*j + 50 = 0. Solve -4 = -g, 2*t - m = -v*g + g for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -789 + -1721.994\nAnswer: -2510.994","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18343742.\nAnswer: 2, 23, 113, 3529","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/(-6))\/((-7)\/63)?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/8*-3*476\/51?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-11)\/55)\/(2\/(-4)). Suppose 5*l = 3*l. What is the nearest to l in s, 0.5, -3?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 40 + (-48 - 61) + (-4 + 0 - (5 + 1))?\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 21375864 and 744.\nAnswer: 21375864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 211?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 11730 and 5100.\nAnswer: 510","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 3.369297 nanometers?\nAnswer: 0.0000003369297","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9418?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0\/((-1)\/((-1)\/(-2))). Let u(q) be the third derivative of -q**5\/60 + q**3\/2 + 484*q**2. Let s be u(o). Solve -14 = s*w + 5*n, w + 3*n + 6 = n for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:54 AM and 3:03 PM?\nAnswer: 669","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.130372 weeks to days.\nAnswer: 0.912604","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) be the third derivative of n**7\/70 + 13*n**6\/40 + 23*n**5\/20 + 11*n**4\/8 - 612*n**2. Solve u(i) = 0.\nAnswer: -11, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2899 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 9\/3 - (-3 - -3). Suppose -5*i + 4*i = 5*p + 15, -x*i = 4*p + 12. Suppose i = f - 2*f + 3. Calculate the greatest common factor of f and 15.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3981?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 340, 434, 576, 766?\nAnswer: 1004","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-104)\/(-5) - (-2)\/10. Solve 5*j - i = 4 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1366249 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 10517*g**2 - 8219*g**2 + 5196*g**2 as m*g**2 + r + d*g and give m.\nAnswer: 7494","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -x**2 + x + 1. Let c be 7*14\/(-147)*3. Let m(y) = 8*y**2 - 2*y - 3. What is c*n(b) - m(b)?\nAnswer: -6*b**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 905441 is divided by 1435.\nAnswer: 1391","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 170 minutes after 8:48 AM?\nAnswer: 11:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 11*u - 79. Let h(g) = 10*g - 84. Let s(b) = -8*h(b) + 7*j(b). Let y(r) = 3*r. Determine s(y(c)).\nAnswer: -9*c + 119","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.3 + -0.1. Let i = 8413\/2 + -4208. Which is the fourth smallest value? (a) 0.4 (b) k (c) -18 (d) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) be the first derivative of -3*q**4\/4 - 10*q**3\/3 - 9*q**2 - 41*q + 59. What is the hundreds digit of f(-6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -8.2 + 8. Which is the second biggest value? (a) -2\/7 (b) -0.05 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 79666140 divided by 7966614?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 2\/133, 25, 83, 3\/7 in decreasing order.\nAnswer: 83, 25, 2, 3\/7, 2\/133","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*s - 75 = -19*s. What is the fourth biggest value in 1, 1\/3, s, 113?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 51*p + 375 = -492 for p.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 11*q - 17*q - 6 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0841 take away -38.5113221?\nAnswer: 38.4272221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 34854 = 463*f - 460*f, 4*b = -16. Is f a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 5334673747755.8 and 0.16?\nAnswer: 5334673747755.64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -4 - -9 - 28\/6. What is the second biggest value in -0.47, m, 1?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = t + 93. Let f(h) = -28*h**2 - 51. Calculate g(f(q)).\nAnswer: -28*q**2 + 42","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -68, 7\/15, -0.06, 0.2, 0.5?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - -3 - (-4 + -41 + (-10 + 9 - -9))?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 88263839 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10058\/(-564) + 143\/(-66)?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 55702399 to the power of 1\/3, to the nearest integer?\nAnswer: 382","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 163.673 - -11.327. What is the biggest value in -4, 2, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 - (-8 + 7) - (-3 + -1 - -41)?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -0.005, 0.1, 2, 17, 12?\nAnswer: -0.005","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 4, t: 1, m: 2, v: 2, y: 1}. What is prob of picking 1 v and 2 m?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*y + 3*l - 15, -3*y - 1 - 8 = -3*l. Let x be 3\/y - 9\/(-2). List the prime factors of (-8)\/(-3)*6\/x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 17*h**2*v**2 - 55*h*v - v**2 - 792*v with respect to h.\nAnswer: 34*h*v**2 - 55*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (280\/(-112))\/((-4)\/(-32)*-5).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -20 - -12100131?\nAnswer: 12100111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*b - 15 = 2*b. Is b\/(1\/(1833\/9)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 156665 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 12 = d. Suppose -d*o = 2*q - 16, -3*o - 14 = -3*q - 5*o. Let n(z) = -z**2 - z + 4. Let c be n(0). Solve -f = j, -j + q = j + c*f for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 b when two letters picked without replacement from bbbcbbbzbbbzbbbzbc.\nAnswer: 13\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange z**2 + 4*z**2 + 9*z**2 to the form u*z**2 + x*z + p and give u.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:02 PM and 12:12 AM?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -237, -1, -2.13?\nAnswer: -2.13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 2*q - 2 + 11*q + 10*q**2 - 1. Let k(t) be the first derivative of -7\/3*t**3 + 2*t + 1 - 9\/2*t**2. Calculate -7*k(r) - 5*o(r).\nAnswer: -r**2 - 2*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:11 PM and 8:36 PM?\nAnswer: 505","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2\/9 (b) 9\/32 (c) -2\/31\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mm when two letters picked without replacement from {k: 1, m: 2, v: 2, n: 6, w: 5}?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 3*j**2 + 263*j - 186. Calculate f(-81).\nAnswer: -1806","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = w**3 - 4*w**2 - 3*w + 2. Let j be f(-4). Let d be (-2)\/11 + j\/(-22). Let z be ((-2)\/d)\/(1\/(-5)). Solve z*u = u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -y. Let q(k) be the first derivative of 436*k**3\/3 + 443. Determine q(m(z)).\nAnswer: 436*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/(-10) + 0 + ((-71008)\/1760 - -40). What is the second biggest value in -3, f, 2, 1, -4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = 3*d - 3*n, n - 4*n = -4*d - 10. Let l = 21169\/2 + -10586. What is the closest to d in 44, l, 2?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) be the first derivative of -v**2 + 2*v + 1. Let g(i) be the second derivative of i**3\/6 - i**2 + 17*i. Determine 2*a(d) + 3*g(d).\nAnswer: -d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -196 + 208. Is -2 - (2 - -15)\/(q\/(-228)) a multiple of 87?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 915 and 83865.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 69\/(-2 + 3) + 1. Let b be 91\/c - 2\/4. Factor -4\/5 - b*v - 1\/5*v**2.\nAnswer: -(v + 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + -1 + sqrt(931) + -2 + (6*1*sqrt(190))\/(sqrt(50)\/(sqrt(10)\/sqrt(2))).\nAnswer: 13*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = g - 6. Let v be b(7). Let t(p) = -3 + 6 + 0 + p - 4. Let f be t(-1). What is the closest to f in 4, v, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 89 - 86. What is the lowest common multiple of q and 88?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*l + w + 20, 0*w - 2*w = 0. Let q = 241 - 238. Suppose 4*m - l*y + 50 = 130, -q*y = 12. Calculate the remainder when 31 is divided by m.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence opm when three letters picked without replacement from {p: 3, o: 13, m: 2}?\nAnswer: 13\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6*t**4 + 0*t - t - 7*t wrt t?\nAnswer: 72*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 348?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28539238?\nAnswer: 2, 7, 13, 233, 673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 96957.07 millilitres to litres.\nAnswer: 96.95707","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*p - 111 + 41 + 3*p**3 - 6*p**2 + 21*p**2 + 71 in the form c*p**3 + n + o*p + h*p**2 and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -144 + 143.5. What is the closest to 0.1 in -1\/8, j, 0.4?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 246983918?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1542 + 5?\nAnswer: 1551","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-20)\/(-6)*9*(-40)\/75?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 9 - 11. Let q = -2.3 - v. Let k = -8.987 - -2.987. Sort q, k, 5.\nAnswer: k, q, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 72*s**2 - 5544499204 + 5544499204.\nAnswer: 72*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 7*r = -3*r - 232, -x + r + 119 = 0. Is x a multiple of 41?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:41 PM and 2:22 AM?\nAnswer: 581","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 43 divide 807?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -x**3 + 12*x**2 + 10*x + 45. Determine g(13).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 4113.16, 0.3, -2\/13?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2.7 + 17.7. Let x = z + -10. Let u be 2*3*(-1)\/(-18). Which is the closest to u? (a) -2 (b) x (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -270*d**6 + d**2 + 52.\nAnswer: -32400*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 4712 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 76 + -70. Let h be (-12)\/z - -4 - -2. Let p(y) = y**2 - 7*y - 8. Let o be p(9). Solve -o - 6 = -h*u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-698 + 200 - 1355)*(-2*k - 4*k + 5*k) in the form b*k + w and give b.\nAnswer: 1853","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -8*l - 12. Let x be a(5). Let i be 105\/(-4)*x\/(-6). Let m = i + 692\/3. Find the common denominator of m and 40\/9.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 4*f = 1591, 6*m + 9*f = 12*f + 9462. Does 53 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*o**2 + 1 - 1 - 7 - 5.\nAnswer: 3*(o - 2)*(o + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 346.52 - 347. What is i rounded to the nearest integer?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 97*g - 94*g = -5, -5*u = 4*g - 8. Solve 11 + 3 = 4*v + 2*r, -u*v - 5*r = -17 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -24.3 + 23.3. Which is the closest to y? (a) -0.4 (b) 1 (c) -5 (d) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.19, 2\/7, -4, 3 in decreasing order.\nAnswer: 3, 2\/7, 0.19, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4553 - 4549. Which is the third biggest value? (a) 2 (b) -0.62 (c) u (d) 4\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor g**4\/2 - g**2\/2.\nAnswer: g**2*(g - 1)*(g + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -1110101110111100 (base 2) to base 9\nAnswer: -101703","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -14\/3, -1, 0?\nAnswer: -14\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 8373.17 - 8524. What is a rounded to the nearest integer?\nAnswer: -151","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 110 - -1102212?\nAnswer: 1102322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -1*2*15\/(-6). Suppose -6 = 3*m - y*m. Find the third derivative of 2*b**2 + 2*b**m - 3*b**2 - b**2 + 5*b**2 wrt b.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that 10*j**3 + 664*j**2 - 42136*j - 16960 = 0.\nAnswer: -106, -2\/5, 40","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-9)\/1 - ((-544)\/22 - -7). Factor -2\/11*h**2 - c*h - 1152\/11.\nAnswer: -2*(h + 24)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eighteen fifths of a second in milliseconds?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 146160355673 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1441888558?\nAnswer: 2, 11, 17, 107, 137, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 36*d - 17*d - 20*d + 6572 - 6572.\nAnswer: -d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -10869 divided by 3?\nAnswer: -3623","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) be the second derivative of -35*k**3\/6 + 2*k**2 + 60*k + 1. Differentiate t(q) wrt q.\nAnswer: -35","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*n**5 + 30920*n**4 - 512540*n**3 + 1381920*n**2 + 1229632*n - 2129920 = 0. What is n?\nAnswer: -4\/3, 1, 4, 13, 2560","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 1350 (base 11) to base 15\nAnswer: 7b9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -83\/10 and 11\/2.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00170383 rounded to 4 dps?\nAnswer: 0.0017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 4\/237?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) be the third derivative of -5*j**4\/12 - 5*j**3\/6 - 2*j**2. Is q(-6) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3521?\nAnswer: 7, 503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 29832797 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 50 and 160?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -230*j**3 + 394 wrt j.\nAnswer: -690*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 4, e: 6, r: 2, k: 1}. Give prob of picking 3 e.\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(1*(-3 + -6*5*(sqrt(539) + -5 + sqrt(539) + 2)) + -3).\nAnswer: -2520*sqrt(11) + 504","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -131*i - 5874 = -2*t - 133*i, 3*t - 3*i = 8829. Is t a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 362*x - 291 = 459*x for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 5*x**2 + 19*x + 70. Let z be f(-5). What is the greatest common divisor of 150 and z?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*g**3\/2 - 52255*g**2\/2 + 234945*g.\nAnswer: 5*g*(g - 10442)*(g - 9)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1712*a + 1616*a - 1061*a + 964*a + 1113*a to the form d + g*a and give g.\nAnswer: 4344","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1415?\nAnswer: 5, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -18*a + 444*a**3 + 923152*a**2 - 923141*a**2 + 43*a wrt a?\nAnswer: 2664","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -53*i - 4105 + 2116 = -81 for i.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (53 - 6 - 3)*(-5*w + 0*w + 2*w)*(-1 + 3 + 1) to g + f*w and give f.\nAnswer: -396","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -10*d + 3*d + 0*d in the form r*d + s and give r.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2 + 4. Suppose 0 = 46*o - 11*o - 560. Suppose -6 = -a*f - o. Put f, -1, -3 in increasing order.\nAnswer: f, -3, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 a factor of (3\/(-1))\/((-12586)\/2513 + 5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/(-3))\/(9*-48*32\/(-2592))?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16872 + 16836 = 9*h. Let i(s) = -19*s + 2. Let c(d) = -56*d + 7. What is h*c(f) + 14*i(f)?\nAnswer: -42*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) be the second derivative of -2*k + 2*k**2 - 30 - 1\/6*k**3. What is g(8)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4.2 + 4.09. Let u = f + -2.79. What is the closest to -3 in -5, u, 4\/9, -0.1?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 187 + 36. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1\/3, -5, -6, -395407?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 513 and 44135658?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 36620052 to the nearest integer?\nAnswer: 332","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -201 = -2*f + 3*z, -555 = -8*f + 3*f - 3*z. Let h be ((-13)\/(-3))\/(3\/f). What is the greatest common factor of 12 and h?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 92764817 to the power of 1\/2, to the nearest integer?\nAnswer: 9631","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 2*w + 12. Let k be r(0). Solve 3*g + k = -g for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -1 - 2 - (-5 + 1). Calculate the common denominator of -83\/12 and ((-3)\/18 - 0)\/(x\/(-73)).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4*v**5 + 5*v**4 + 6*v**3 - 3*v**2 - 432*v + 15 wrt v?\nAnswer: -240*v**2 + 120*v + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12230 = -42*w - 11726 for w.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -30305 or -30293?\nAnswer: -30305","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*i + 13 = 5. Let a be 18\/2 - 2 - (i + 2). Let r(p) = -p**2 - 2*p + 5. Calculate r(a).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-27)\/36*8\/(-148))\/2*(-278)\/417?\nAnswer: -1\/74","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) be the first derivative of -9*q**2 - q - 1704. Let x(z) = 2*z. Give x(h(g)).\nAnswer: -36*g - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**0)**(6\/13)\/(h*h**(-2\/3)*(h\/(h**(-3)\/h))\/h))**(-1\/44) assuming h is positive.\nAnswer: h**(13\/132)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 4*z - 60 = 0, -2*i + 51 = i - z. Let b = -6 + 10. Suppose 2*x - b - 17 = -3*r, -14 = -2*r + 2*x. Solve -3*m + r*m - i = 0 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -20 + 29. Let l = o - 5. Let k = l - 4. Which is greater: k or 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*t - 20, -2*m + 5*t - 64 + 53 = -42 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cqinvcve. What is prob of picking 1 v and 2 c?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-43)\/5 + (-12)\/30. What is the least common multiple of 1*2\/(-4)*-6 and 2\/(30\/r + 4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3 - -2.9. Let o = q + 0.15. Let d = o + 4.95. Which is the second biggest value? (a) -1 (b) 1\/5 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 55*l**3 - 4*l + 2. Let q(f) = -111*f**3 + 9*f - 5. Calculate 2*q(r) + 5*z(r).\nAnswer: 53*r**3 - 2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 5*z - 25. Let x be q(6). Suppose 0*c - x*l + 218 = 2*c, -c - 2*l + 109 = 0. What is the tens digit of c?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 18, -1, -5 in decreasing order.\nAnswer: 18, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + sqrt(77)\/(sqrt(11)*-2) - ((sqrt(210) + sqrt(210)*1)\/sqrt(10))\/sqrt(3))**2.\nAnswer: 25*sqrt(7) + 275\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-154)\/84*64\/12496)\/((-2)\/6)?\nAnswer: 2\/71","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*r - 4*c + 40, 2*c - 3*c = 6989*r - 6993*r - 21 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w**5\/15 - 16*w**4\/5 + 2*w**3\/3 + 416*w**2\/5 - 1016*w\/15 - 736\/5 = 0.\nAnswer: -23, -6, -1, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -q**3 - 2*q**2 + 2*q + 3. Suppose -2*i - 12 = 5*p, -3*p - 2*i - 3 - 5 = 0. Let b be c(p). Is 0 less than or equal to b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 424 minutes before 3:03 AM?\nAnswer: 7:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**4 + 16*c**3 + 25*c**2 - 42*c.\nAnswer: c*(c - 1)*(c + 3)*(c + 14)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, 33, -2\/7, -1, 5, -6 in increasing order.\nAnswer: -6, -1, -2\/7, 0.4, 5, 33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1903475 != -86?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 2 = -3, n = 4*j + 89. Let b be 34\/8 + (j\/(-8) - 2). Suppose 5*m - 4*m - 135 = b*w, 115 = m - w. What is the units digit of m?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 (base 16) in base 11?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 76892 is divided by 5112.\nAnswer: 212","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 221, 442, 663, 884, 1105, 1326?\nAnswer: 1547","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - (-4 + 0) - 4?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 99*h*m**3 - h*m**2 - 958*h*m + 8*h + 30*m**3 - 2*m**2 - 15*m wrt m?\nAnswer: 594*h*m - 2*h + 180*m - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 225*x**2 + 208*x**2 + 3 + 178*x**2 - 3 - 613*x**2.\nAnswer: -2*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(125) + (2*sqrt(125))**2*1)*1 - ((-2*sqrt(125) + -4 - sqrt(125))*-3*6)**2) + -2.\nAnswer: -366686 - 38850*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -20 (base 3) to base 10.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Do 1809 and 1809 have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 56256 (base 8) to base 10\nAnswer: 23726","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -378*o - 908 = 982 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (33\/(-18))\/(-1) + 2\/(-6).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 357173 + 344*w - 357171 + 93*w.\nAnswer: 437*w + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - (-31 + 15 - -15 - (-43 - 1))?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 95 divide 2090?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2336055, -4672111, -7008167, -9344223?\nAnswer: -11680279","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*m + 48*m = -129 + 1209. Suppose -2*y + 0*y = 42. Let g = y + m. List the prime factors of g.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 37047.\nAnswer: 3, 53, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -72*f**3 + 287*f**3 - 109*f**3 - 108*f**3.\nAnswer: -2*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 557 = 3*x, x - 64 = 4*g + 127. List the prime factors of x.\nAnswer: 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5.157 - -0.157. Which is the third smallest value? (a) 8 (b) o (c) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = n - 29. Let a be m(7). Let i be (-11)\/a - (-26)\/(-36). Let q be 1\/(((-1)\/1)\/2). What is the biggest value in 2, q, i?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1.650756 - -1.647. What is t rounded to three decimal places?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 22*y**2 + 9*y - 13. Let v(a) = -11*a**2 - 4*a + 6. What is -9*v(p) - 4*z(p)?\nAnswer: 11*p**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + 1 - 3*h + (-1 + 1 - 2*h)*(-3 + 4 + 0) - 41 + 21*h + 41 - 2 + 2 - 2*h - h - h + 0*h + (2*h + 2*h - 3*h)*(2 - 5 - 2).\nAnswer: 7*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -297, -591, -955, -1395, -1917, -2527, -3231?\n\"Answer: -m**3 - 29*m**2 - 200*m - 67","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 680 and 248540.\nAnswer: 497080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 538841 is divided by 1132?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 53214211 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -k + 3. Let g be l(-2). Suppose -g*p + 41 = -19. Let t be (-2108)\/(-22) + (-6)\/(-33). Calculate the highest common divisor of p and t.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-212)\/6*-3)\/2 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -10*a**3 + 2*a**2 - a + 1. Let m be d(-2). Let w = m - 50. Let q(p) = -p**2 + 8*p + 2. What is the remainder when w is divided by q(6)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that 1\/6*k**3 - 4\/3 + 1\/2*k**2 - k = 0.\nAnswer: -4, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 3, -51 in descending order.\nAnswer: 3, -4, -51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -6*m**3 + 2*m**2 + 2*m + 3. Suppose -4*q + 3*z = -0*q, 28 = -4*q - 4*z. Is 11 a factor of h(q)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -41*(2 + (-9)\/3). Let f = h - 13. What are the prime factors of f?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (sqrt(17) - (sqrt(17) - (sqrt(34)\/sqrt(2))**2)) + (-1*sqrt(17)*-1 - sqrt(17)))*-6 - (-2 + 3*-1*sqrt(17) + sqrt(1377)*1)**2.\nAnswer: -712 + 24*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rer when three letters picked without replacement from jeeeelrjrllerer.\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 4 + 274*o - 4 + 120*o as t*o + w and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3 + 3. Suppose 3*t + 5*l + 2 = a, t - 3*l - 10 = -2*l. Calculate the smallest common multiple of 6 and t.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = p - 8 - 1. Let c be -24*p*(-4)\/16. What is the greatest common factor of 81 and c?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1934*i**2 - 2130*i**2 - 4373*i**2.\nAnswer: -4569*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/75, -0.2, 0.3, -52\/47?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2212 (base 6) in base 12?\nAnswer: 368","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 340?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*x - 0 - 6. Let c be (6\/9)\/(3\/9). Let p = c - x. Which is bigger: p or 3\/4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 22 - 22 + 41*p + (4 - 2 - 3)*(5*p + 5*p + 2*p) to o*p + j and give o.\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 93322\/77 + -1212. What is the nearest to x in 1\/4, -5, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = 10*a + 32. Let p(u) = 576*u**2 + 5*u + 2. Is p(a) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2 + 8. Let z = 3\/2312 - -1553\/289. Let c = 489\/88 - z. Sort 1\/3, y, 2\/7, c in increasing order.\nAnswer: c, 2\/7, 1\/3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven thirds of a day in hours?\nAnswer: 56","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-600)\/36 + 15)\/(15\/315).\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hh when two letters picked without replacement from {h: 4}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2, -0.4, 3\/2, 0.2, 5, -144?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qp when two letters picked without replacement from pqqooopqopp?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 + 22 = -3*l. Let u(i) = -7*i**3 - i**2 - 8*i + 6. Let z(f) = -6*f**3 - 2*f**2 - 8*f + 6. Let t(c) = -5*u(c) + 6*z(c). List the prime factors of t(l).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 312436474?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(-5)*t**(-3\/4)*t**(-7)\/t*t*t**5 assuming t is positive.\nAnswer: t**(-31\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -2*k + 20. Let p be u(10). Does 5 divide p + (-128)\/(-9) - 70\/315?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2244497 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by -28.\nAnswer: -5\/28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:09 PM and 6:49 PM?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -10101100010 (base 2) in base 7?\nAnswer: -4006","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 142*l = 137*l - 5 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -83*b**2 + 59*b**2 - 2*b + 58*b**2 - 40*b**2. Let o(i) = -21*i**2 + 1. Give y(o(r)).\nAnswer: -2646*r**4 + 294*r**2 - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*n - 50 = d + 3*n, -3*n + 9 = 0. Let p = d + 83\/2. Is -0.07 at least as big as p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) be the third derivative of -o**5\/60 - 5*o**4\/12 - 11*o**3\/6 - 13*o**2 - 3. Let k be c(-8). Solve -20 = -4*t, -k*t + 20 = -2*g - 15 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = -54*d + 55*d - 3*k, 2*d = -4*k for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 35\/(-28)*(-3 + -1). Suppose 0 = 5*i + 5*p - 70, -15 - 73 = -o*i + p. What is the remainder when i is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4318 = 26*v - 52*v - 101*v for v.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Solve t + 29*b = 27*b - 3, -3*b - 2 = t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -521 + 523. Solve -5 = -r, 5*z - 5*r + 40 = -h*r for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 38 = p, 5*p + 12 + 45 = 3*g. Put 1, -0.2, g in increasing order.\nAnswer: -0.2, 1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-12)\/(-20))\/(27\/(-30))\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0002222 to five decimal places.\nAnswer: -0.00022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -p**2 - 5*p + 2. Let m(w) = 38*w + 23. Let n(s) = -13*s - 8. Let k(r) = 6*m(r) + 17*n(r). Let u be k(-1). What is t(u)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor l**2\/6 + 17401*l + 104404\/3.\nAnswer: (l + 2)*(l + 104404)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 40423 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -11 divided by -63\nAnswer: 11\/63","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = k**3 + 3*k - 2*k**2 + 0*k**3 - 6 + 3. Let o be f(2). Sort o, -0.3, 2 in ascending order.\nAnswer: -0.3, 2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) be the second derivative of -5*p**3\/6 + p**2 + 694*p. Let r(x) = 15*x**2. Give r(f(q)).\nAnswer: 375*q**2 - 300*q + 60","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -0.4 (b) 8 (c) 1\/3 (d) -2\/9 (e) -12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 24616 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -4*x**2 - 2*x**3 - 5*x**3 + 1 - 6 - 8*x. Let b(g) = -6*g**3 - 4*g**2 - 7*g - 4. Let f(d) = -6*b(d) + 5*i(d). Let h be f(-3). Solve -h*k = -0*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/(-6)*3\/1?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -9*u**2 + 35*u + 25. Let v(b) = 5*b**2 - 18*b - 12. Let i(q) = -11*v(q) - 6*x(q). Let p be i(-10). Solve p*d + d = -15 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -242407682 smaller than -242407674?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -22*t + 101. Does 27 divide o(-25)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 2*o**2 - 5*o**2 + 4*o**2 - 5 + 3*o - 11. Let u be n(-8). Suppose 3*b = 57 + u. List the prime factors of b.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1016762*m**3 - 2*m + 156625 wrt m.\nAnswer: 6100572*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 + 62 = 5*g. Suppose t + 1 = g. Let f = 18 - t. Calculate the remainder when 15 is divided by f.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -59.3 - -55. Let l = y - -5.11. Round l to one decimal place.\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1216957 to the nearest integer?\nAnswer: 1103","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: ((-345)\/138)\/(35\/2)\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 95069067 - -21339146. Suppose 73551787 = 12*n - v. What is n rounded to the nearest 1000000?\nAnswer: 16000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*b**2 - 5693 + 5693.\nAnswer: -5*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by -3880.\nAnswer: 1\/3880","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 2, -1010 in ascending order.\nAnswer: -1010, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 33235, 66029, 98823?\n\"Answer: 32794*c + 441","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 11593 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -2*d**3 + 9*d**2 - 3*d + 3. Suppose 4*z = 3*j - 29, -5*j - 5*z = 4 + 6. Calculate the remainder when u(4) is divided by j.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1089 + -742. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8224, 13910, 19544, 25102, 30560?\nAnswer: 35894","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6 + -8. Let i be (-2)\/(-5) - (-32)\/20. Let s = 0 - i. Is s <= m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) be the first derivative of 7\/6*z**2 - 2\/3*z - 5\/9*z**3 - 2. Factor h(s).\nAnswer: -(s - 1)*(5*s - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 180*g - 183*g - 48 = -4*w, 4*g = 89*w - 1319 for w.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2422.958 meters to centimeters.\nAnswer: 242295.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (sqrt(200)*-1*2 - (sqrt(2) + 0 + sqrt(2) + 3 + 0)))**2.\nAnswer: -88*sqrt(2) + 972","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6*9\/12*32\/(-36)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*s + 2*s - s)*(-2*s - 3*s + 4*s) - 5*s**2 - 5*s**2 + 2 + 5*s**2 - 3*s**2 + s**2 + 3*s**2.\nAnswer: -7*s**2 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 31\/48 and -19\/1380?\nAnswer: 5520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*s**3 + s**3 - s**3 + 0 + s**3 + 0 + (-s**3 - 5*s**3 + 4*s**3)*(2 - 1 - 3) - 5*s**3 + s**3 - s**3)*(-3 + 2 - 2)*(-3 - 1 + 3)*(1 + 0 - 3).\nAnswer: -12*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 506 and 220?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m when two letters picked without replacement from mmuuuuuu?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*v - 26*v - 231 = 0 for v.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-84)\/108*(-78)\/91 - ((-458)\/(-156) - 2).\nAnswer: -7\/26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 127263354?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3 + -21441?\nAnswer: -21444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 277 minutes after 12:06 AM?\nAnswer: 4:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 82 + -81. Suppose -15*y = u + 14. Let b(z) = -113*z - 8. List the prime factors of b(y).\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -45, -1, -268, -2, -4 in ascending order.\nAnswer: -268, -45, -4, -2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 1 - 1)*(0 + 2*g + 0)*(-g - 22 + 22) - g**2 + 2*g**2 + g**2.\nAnswer: -2*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d**5\/3 + 208*d**4\/3 - 962*d**3 - 86608*d**2\/3 + 1484648*d\/3 + 522720 = 0.\nAnswer: -20, -1, 22, 81","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -476949 - 7?\nAnswer: -476956","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that -100*d**3 - 620*d - 256*d**4 + 415*d**2 + 300 + 93*d**4 + 168*d**4 = 0.\nAnswer: 1, 2, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3845 and 325.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that 10*c**4 + 46764*c**3 + 3332104*c**2 - 5488560*c - 2725568 = 0.\nAnswer: -4604, -74, -2\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -16 + 11903 + -19 + 15.\nAnswer: 3, 17, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*-2*sqrt(418) - sqrt(418))\/sqrt(11))\/(sqrt(800) + (2*sqrt(800) - sqrt(800) - sqrt(800))).\nAnswer: -9*sqrt(19)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/19611, -22, 2, -6, 0.4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*i**3 + i**3 - 5*i**3)*(7*i - 4*i**2 - 7*i + (0 - 9 - 10)*(2*i**2 - 2 + 2) + 6*i**2 + 16*i**2 - 2*i**2).\nAnswer: -22*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2 + -2.1. Let d = 80043 + -80042.5. Which is the closest to 2? (a) q (b) d (c) -111\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 56603200 to the power of 1\/3, to the nearest integer?\nAnswer: 384","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 7*t - 3*t + 53*t.\nAnswer: 57*t - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6 and 16?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.03396 - -0.23396. Let c(l) = l**3 + 11*l**2 - 11*l + 7. Let f be c(-12). Sort -13, f, m, -0.2.\nAnswer: -13, f, -0.2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1354161, -2708334, -4062507, -5416680?\nAnswer: -6770853","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2.65 + 0.35. Let r = -0.3 - y. Let s be ((-1)\/(-2))\/(30\/(-45)). What is the smallest value in s, r, -0.1?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s**(4\/9))\/s**(-1\/2))\/(((s\/(s\/((s*s**(2\/3)*s)\/s)))\/s)\/(s\/(s**(-10)\/s))) assuming s is positive.\nAnswer: s**(239\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 18 + -16. Solve -4 - 2 = -p*i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(700) + 2)*1)**2.\nAnswer: 40*sqrt(7) + 704","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from esjsjsjseej. What is prob of sequence jes?\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = -0*t - 240. Let b = -60 + t. Suppose f + 1 = b, 5*f + 59 = 4*s + 2*f. What is the remainder when 40 is divided by s?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1109 is divided by 416.\nAnswer: 277","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 35220260?\nAnswer: 2, 5, 17, 71, 1459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1106957*p + 60 = 1106942*p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 234 and 69147.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2944\/28 - 20\/140. Let u = 1 + 14. Calculate the greatest common factor of u and b.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4725 and 5670.\nAnswer: 28350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 2\/3, -48, 0.02, 0.1?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -2*o + 1. Let p be x(-2). Suppose y + 2 = p. Suppose y*c**3 - c - 3*c + c = 0. Calculate c.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (90\/24 - 4)*-2. Let v(s) be the first derivative of -4*s - w*s**2 - 2. What is v(-2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -78.9931 rounded to one decimal place?\nAnswer: -79","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -g**2 + 14*g - 9. Let i be h(13). Let u = -1.3 - -7.3. Which is the third biggest value? (a) u (b) 3 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 51761.7mg?\nAnswer: 0.0000517617","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 117 is divided by 40?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 13715?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 20441 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1407*y - 1578*y + 4104 for y.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 388013 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1441, 1442, 1443, 1444?\nAnswer: 1445","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1201 + 1039.8. Let c = -161 - i. What is the biggest value in 0, 1, -0.2, c?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1294026288 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2107fa - -34?\nAnswer: -2107c6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that -8*t**3 - 2078*t**2 + 11120*t - 2650 = 0.\nAnswer: -265, 1\/4, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*u + 126*u - 6*u.\nAnswer: 115*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.048032886 + -0.2.\nAnswer: -0.248032886","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.095? (a) -0.2 (b) 0.058 (c) 4 (d) 0 (e) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 31 (b) -1\/12 (c) -2.316 (d) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -2*v**3 + 105*v**2 + 1041*v - 239. Determine r(61).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 0*v = 2*v + 8, 2*i + v = -4. Let r(w) be the second derivative of -1\/6*w**4 + 0*w**2 - w + 0 + i*w**3. Let g(h) = -2*h**2. What is r(g(k))?\nAnswer: -8*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -9472 plus 1?\nAnswer: -9471","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -3*d + 1. Let t be h(1). Let z(a) = 2*a**2 + 2*a - 2. Let n(p) = p**2 + 2*p - 1. Let o(m) = -3*n(m) + 2*z(m). Determine o(t).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 90 - 88. Let i(w) = -27*w + 13*w + 14*w - 2*w**v - 4*w**2. Let k(d) = 41*d. What is i(k(c))?\nAnswer: -10086*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1992 is divided by -4 - -28 - (28 - 42)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 625 minutes before 4:23 PM?\nAnswer: 5:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6507*p - 6403*p = 0 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 139 = 5*w - 16, 3*m - 160 = -4*w. Does 30 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -5*q - 7. Let g be m(-5). Let r be 4\/g + (-40)\/585. Which is the third smallest value? (a) r (b) -2 (c) -2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = u**3 + 14*u**2 + 13*u + 3. Let c be f(-13). Suppose c*b = -2*b + 400. Suppose 2*l = -5*h - 3*l + b, 2*h - 52 = 3*l. What is the units digit of h?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in one fifth of a millisecond?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 1 = -4*j, -j - l + 1 = -2*j. Suppose -2 = -f - 5. Suppose -3*u + 8 = -4*h, 3*h - 3 = -u - 22. Sort j, u, f in ascending order.\nAnswer: u, f, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of f**3*g**3*q + 6979*f**3 - 9*f**2*g**3*q + f**2 - 7*f*g**3 - 11*f*g*q + g**3*q wrt f.\nAnswer: 6*g**3*q + 41874","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) be the second derivative of c**6\/15 + 77*c**5\/20 + c**4\/12 - 11953*c**2\/2 - c + 6392. Find the first derivative of y(o) wrt o.\nAnswer: 8*o**3 + 231*o**2 + 2*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -85900 to the nearest 10000.\nAnswer: -90000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 times 1954.838?\nAnswer: 3909.676","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 21 - 17. Let m(y) = -5*y**3 + 3*y**2 + 2*y. Let f(x) be the third derivative of -x**6\/20 + x**5\/15 + x**4\/8 + x**2. Determine q*m(r) - 3*f(r).\nAnswer: -2*r**3 - r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 982\/7 + (-6)\/21. Let a = -26 + 26. Suppose a = -9*b + 266 + 238. Calculate the highest common divisor of b and d.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -33\/10 and -5\/24?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out 102 * 148787.\nAnswer: 15176274","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -5136*q + 43. Is y(-2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 5*c + 3 = 0. Let o = c + 0. Solve 12 = -4*v + 3*z, 0*v - o*v = 4*z - 16 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 114 (base 5) in base 6?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/4 of a kilogram in grams?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -101*c + 18*c + 40421 = 0. Does 15 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 276 and 3076.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 36007377?\nAnswer: 3, 7, 17, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -490.75 and -2.066?\nAnswer: 1013.8895","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2787*n = -4304*n - 3905*n - 92174 for n.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 29 - 25 = 0. Calculate the remainder when 48 - i - (9 - 13) is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 67422?\nAnswer: 2, 3, 17, 661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 10721 and 71?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1316 - 22380\/17. Which is bigger: -1 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u, 2 o, and 1 m when four letters picked without replacement from muyymyjojmmjoqo?\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 17609 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3 + -354?\nAnswer: -351","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v + 6*g - 3 - 5 = -1, 10 = -2*v + 4*g for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*g = 23*g - 45. Solve -9*p**4 - 69\/4*p**g + 33\/4*p**2 + 3 + 15*p = 0 for p.\nAnswer: -2, -2\/3, -1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 103 minutes after 2:10 AM?\nAnswer: 3:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5686497?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a millimeter in nanometers?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 5.3 (b) 27\/2 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 4, x: 6}. What is prob of picking 1 w and 1 x?\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 - (-6 + (-6 - -10)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -160 + 86. Let w = v - 12. Calculate the remainder when 2\/(-7) - w\/7 is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1509663161 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (-2*(sqrt(3584) + sqrt(3584)*1)*3)\/(6*(sqrt(512)*-1 + sqrt(512) - sqrt(512)) - -5*2*sqrt(512)).\nAnswer: -3*sqrt(7) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.3 + 0.1. Let c = 98.9 + -98.9. What is the closest to c in y, 0.1, 4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 4*f + 5 - f**2 + 0 + 2*f**2. Let t be n(-4). Suppose 1506 = t*z + 3*q - 29482, 4*z - 5*q = 24820. What is z rounded to the nearest one thousand?\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:14 AM and 4:14 PM?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = z**2 - 6*z + 4. Let l be n(6). Let d = 284 + -284.1. What is the nearest to 0 in l, d, 1?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (4 - 138)*1\/(-2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.04935 rounded to 2 dps?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000509486408 to 6 decimal places.\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*a - 2*a + 0*a)*(-3*a + 6*a - 4*a) + ((4 - 1 - 5)*(1 - 1 - 13) + 4 + 2 - 2)*(-a**2 - 20 + 22 + 15*a**2).\nAnswer: 418*a**2 + 60","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 249 and 63?\nAnswer: 5229","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 23144 and 20.\nAnswer: 115720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9673 is divided by 29.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -731*-19\nAnswer: 13889","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = f**3 + 8*f**2 - 10*f - 2. Let x be n(-9). Solve -3*c - 2*c - 12 = 3*o, 0 = 4*o - c - x for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.1, -1\/14, -0.1, 3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:10 PM and 4:41 AM?\nAnswer: 331","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -b - 1. Let t be w(-2). Let i(s) = 6*s**2 - s. Calculate i(t).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -8*m**2 + m + 61.\nAnswer: -16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 7, r: 3, w: 8}. Give prob of sequence wvw.\nAnswer: 49\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = k**3 - 21*k**2 + 74*k - 98. Let y be u(17). Put -33, -1, y in descending order.\nAnswer: y, -1, -33","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1 - -2) + 3 + 1. Suppose 0 = 5*g - 3*r - 17, -3*r + 0*r = -2*g + t. Suppose -2*q + 0*v = -g*v - 26, v = -4*q + 16. List the prime factors of q.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*x**3 + 483*x**2 - 957*x + 477.\nAnswer: -3*(x - 159)*(x - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Product of -16 and -6.4.\nAnswer: 102.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Are 1168 and 481067\/412 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 0\/3 + 2 + 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -89\/4 and 54\/24431519.\nAnswer: 97726076","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2*q + 0)*(33 - 15 + 11)*(11*q - 6*q + 10*q + (q + 1 - 1)*(5 - 2 - 5)).\nAnswer: -754*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 57 and 587613.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1684 a factor of 12042284?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -610 - -584.1. Round i to the nearest ten.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 360 a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -97*v - 10 = -102*v. Suppose -4*x = x. Let c be x\/(v*(-4)\/(-8)). Solve c = -2*u + i - 3, u - 2*i + 2 - 5 = 0 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -8*d**2 - 2*d + 64. Let b(u) = -15*u**2 - 4*u + 133. Calculate 2*b(a) - 5*g(a).\nAnswer: 10*a**2 + 2*a - 54","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in 0.08, -240, 0.5?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 3\/5*z**4 - 48*z + 168\/5*z**2 - 39\/5*z**3.\nAnswer: 3*z*(z - 5)*(z - 4)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.09 - 0.29. Which is the second biggest value? (a) -1.2 (b) t (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 2*j**2 + 2*j - 3*j - 3*j**2. Let p be v(0). Suppose -i + 2 + 1 = p. Solve 2*q + i = -1 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pppvspppsvnvpovsnsep. What is prob of sequence nn?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*h - 24 = -24*h. Suppose 2*l - 3*g - 5694 = 0, 0 = -h*l + 9*l + g - 14201. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*m**2 + 995635670*m + 49564519368817445.\nAnswer: 5*(m + 99563567)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 times 16239?\nAnswer: 4871.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1447, -1376, -1257, -1090, -875, -612, -301?\nAnswer: 58","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert e34 (base 15) to base 8.\nAnswer: 6177","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -165*k**5 + 249*k - 2. Let v(o) = -823*o**5 + 1247*o - 11. Let j(b) = -11*m(b) + 2*v(b). What is the second derivative of j(c) wrt c?\nAnswer: 3380*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 0 + 0 + 2 + (2 - 0). Suppose -3 = -q - 7, a - 20 = w*q. Is 4 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.201 + -0.17. Let u = w - 0.831. Let q = u - -1.55. Round q to 1 decimal place.\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-c - 2*c + 2*c)*(-7*c**2 + 7*c**2 - 3*c**3 + 10*c**3).\nAnswer: -7*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 262*s - 264*s = 3*g - 15, 2*g + 66 = 5*s for s.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -26 + 28. What is the second derivative of 5*k - 20*k**j + 11*k**2 + 5*k**2 wrt k?\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(320) + (sqrt(320)*5 + sqrt(320))*-5)**2.\nAnswer: 269120","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 67*s - 12318 - 16626 = 0. Is s a multiple of 114?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1 + 0. Let j = 2 - -1. Suppose -4 = -j*y + 5. What is the remainder when y is divided by h?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -74 + 77. Let o be (1\/(-2))\/(p\/6). What is the closest to o in -0.1, -3, -2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 13*n**3 - 195*n**2 + 7*n + 46. Let o be q(15). Solve o = -40*u - 169 for u.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 15233312?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = f - 5. Let v be s(5). Suppose v = y + 4*y - 20. Suppose 2*j - y = 6. What is the units digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -t - 13 + 12 + 19*t + t**2 + 219*t**4 - 4*t - 15*t - t**3 in the form k + d*t**3 + y*t + q*t**4 + h*t**2 and give q.\nAnswer: 219","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 98589 and 132?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-1)\/(-1))\/((-3)\/(-9)). Let v = o + 4. Calculate the greatest common factor of 1 and v.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m = r + 2*r - 20, 0 = -m - 4. Suppose r = 2*c - 2 - 6. Let y(h) = h - 3. Give y(c).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) be the first derivative of 2*a**3\/21 - 440*a**2\/7 + 96800*a\/7 - 1032. Factor c(k).\nAnswer: 2*(k - 220)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (396 + 4*g - 397 + 2*g)*(2*g + 0*g - 4*g) + 3*g**2 - 4*g**2 + 3*g**2.\nAnswer: -10*g**2 + 2*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 168 and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1 - (-2)\/28 - 6\/12. Let g = -53 + 51.04. Let z = g - 0.04. What is the third smallest value in v, z, -1?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -12, -32, -52?\n\"Answer: -20*u + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.52081857 and -0.048?\nAnswer: 0.56881857","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -18 + 7 + -4 + 6?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1896709*v**3 - 17309145 wrt v?\nAnswer: 5690127*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 211022 is divided by 22.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*m**5\/9 - 10*m**4 - 86*m**3 + 2314*m**2\/9 + 1388*m\/3 - 624 = 0. What is m?\nAnswer: -9, -2, 1, 3, 52","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2\/(-12)*(630\/15)\/(-14). Which is smaller: 92 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*q**3 + 0 + 10*q**3 + 0 - q**2.\nAnswer: 8*q**3 - q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 10, 2 in increasing order.\nAnswer: -4, 2, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 146800375.8 and -2?\nAnswer: 146800377.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.679235m to kilometers.\nAnswer: 0.006679235","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*u - 105 = 29*u. What is the second derivative of 44*p**5 - u*p - 14*p**5 + 2*p - 10*p wrt p?\nAnswer: 600*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express x - 109 - 3*x + 20 + (2 + 0 - 4)*(-6*x - 52 + 52) in the form q*x + o and give o.\nAnswer: -89","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 240313 - 10?\nAnswer: 240303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -19 + 13. Let w = 60 + -60. What is the biggest value in h, -0.5, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -6 - -10. What is the tens digit of (-401)\/(-6) + 7\/168*a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 452 or 454?\nAnswer: 452","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3\/107087 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 966*d - 3*d**3 + 21*d**3 - d**2 - 88*d - 623*d**3 wrt d?\nAnswer: -3630","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/3*15\/2. Let c(d) = 3*d - 5. Let q be 146\/7 + (-6)\/(-84)*2. Suppose -q = 8*l - 5. Let n(z) = z - 2. What is l*c(b) + s*n(b)?\nAnswer: -b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39*u = 14*u + 347 - 1097 for u.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express l**2 - 40*l**3 + 2 + 42*l**3 - 4*l**4 + 2*l**4 as t*l**3 + r*l**4 + u*l + d*l**2 + s and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 2612314 a multiple of 195?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 27 = 25. Suppose -2*d - 35 = o*d - 5*c, 0 = -d - 4*c + 7. Let q be ((40\/28)\/d)\/((-2)\/28). Sort -5, 5, q, 3 in descending order.\nAnswer: 5, q, 3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h, 1 i, and 1 v when three letters picked without replacement from vcivihy.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 266003161 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*h - 5*l + 8, -18*h = -21*h - 4*l - 6. Put 20, h, -5 in ascending order.\nAnswer: -5, h, 20","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) be the second derivative of a**4\/6 - 13*a**3\/3 - 93*a**2\/2 - 128*a. Let b be l(16). Solve -7*g + b*g = 8 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6656*b**3\/9 + 1792*b**2\/9 - 136*b\/9 + 2\/9.\nAnswer: -2*(8*b - 1)**2*(52*b - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(19)*5 + 1).\nAnswer: 3 + 15*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -67\/912 and 151\/240.\nAnswer: 4560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*sqrt(44) - sqrt(22)\/sqrt(2)*-2.\nAnswer: -2*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 21.216 - 20.7. Let d = 0.016 - k. Let v be ((-50)\/(-825))\/((-2)\/3). What is the nearest to 2\/7 in 0.5, d, v?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -769*c - 80656 = 12393 for c.\nAnswer: -121","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 95\/942 and 107\/30?\nAnswer: 4710","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 41 - (30 + (7 - 26 - -35))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 37*r**2 - 38*r**2 - 138*r**2 + 46*r**2 + 16*r**3 + 54*r**2.\nAnswer: 16*r**3 - 39*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 60, 123, 186, 249, 312?\n\"Answer: 63*j - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 19, 26, 45, 82, 143, 234?\n\"Answer: i**3 + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that 3*s**3 + 330*s**2 + 8004*s - 60552 = 0.\nAnswer: -58, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 864?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (23 - 22*j**2 - 23)*(-89*j**3 - 133*j**3 + 79*j**3).\nAnswer: 3146*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Let r = 1286.9 - 1285.9. Let w = 3 - 7. Let s be -2*4*w\/(-48). Which is the nearest to r? (a) 1\/4 (b) 0 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 432 times -6?\nAnswer: -2592","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = d + 5. Let w be t(-5). Suppose -7*f - 2*c = -2*f - 81, -4*f - 2*c + 64 = w. Let p = f - -74. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 642.4663km in nanometers?\nAnswer: 642466300000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) be the first derivative of -13 + 20*f + 80*f**2 + 75*f**3 - 405\/4*f**4. Factor u(j).\nAnswer: -5*(j - 1)*(9*j + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1020689?\nAnswer: 1020689","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -93 - -38. Suppose -135 = -68*f + 71*f. Let s = f - r. What is the units digit of s?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1540252456 - 5507.\nAnswer: -1540257963","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 5809*u. Let o(r) = -5*r**2. What is o(v(b))?\nAnswer: -168722405*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3366227 (base 11) to base 16.\nAnswer: -59ef33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) be the third derivative of x**7\/4200 + x**6\/1800 - x**3\/6 - 6*x**2. Let p(g) be the first derivative of a(g). Suppose p(q) = 0. Calculate q.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5 + -1172371507.\nAnswer: -1172371512","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1700 and 34850600?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 14*z**2 - z - 4. Let a(h) = 15*h**2 - 3. Let o(t) = 4*a(t) - 3*x(t). Let d be o(-1). Let p(r) = 14*r + 28. What is the units digit of p(d)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -432 (base 6) in base 10?\nAnswer: -164","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 10*f + 7. Let d(a) = -9*a - 2. Let n(j) = -17*j - 4. Let l(w) = -11*d(w) + 6*n(w). Let s(x) = 2*i(x) + 7*l(x). Let g(b) = -b. Give s(g(o)).\nAnswer: o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 1. Let z(a) = 2*a + 9. Let m(s) = 14*y(s) + 2*z(s). Let o be m(-8). What is the tens digit of (8 + o\/(-2))*(-23)\/(-2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 2 f when three letters picked without replacement from {f: 2, l: 6, s: 5}.\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -30319, -30318, -30317?\n\"Answer: f - 30320","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3.38 - -0.42. Let s = 3.799966 - i. What is s rounded to 5 decimal places?\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) be the second derivative of i**11\/18480 + i**7\/840 + i**4\/6 - 2*i. Let n(o) be the third derivative of v(o). Find the third derivative of n(h) wrt h.\nAnswer: 360*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 11*k**3 - 10*k**2 + 8*k - 6. Let f(a) = 7*a**3 - 7*a**2 + 5*a - 4. Let p(l) = -8*f(l) + 5*m(l). Give p(5).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i**7)**(-1\/4))**(-46) assuming i is positive.\nAnswer: i**92","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-8)\/(-18)*30*(-9)\/4. Let x be 12\/4 - b\/(-2). Let r be (119\/(-84))\/(9\/x). Which is bigger: r or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1885002 divided by -1554.\nAnswer: 1213","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -29*x - 52*x + 324 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t and 1 o when three letters picked without replacement from {f: 1, t: 2, q: 1, v: 2, o: 1}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 53835248353 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = y**3 - y - 21. Let c be g(0). Let z be (18\/c)\/(1\/7). Let r(l) = 14 - l - 8 - 6. Calculate r(z).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3 - -5a2?\nAnswer: 59c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - -1 - (-6 + (-14 - -21)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1593\/11 + 145. Suppose 5*c + 25 = 0, 2*y = -c + 1 - 2. What is the nearest to 0.2 in 3\/8, y, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1 - 4. What is the least common multiple of -9*(30\/(-9) - f) and 1?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -62914*h*m**2 + 209304291*h*m - 2*h + 1077*m**2 wrt m.\nAnswer: -125828*h + 2154","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.2 and 69?\nAnswer: 13.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = z. Let f(r) = -897 - 102*r + 897. Give f(i(n)).\nAnswer: -102*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3 in 2, 4\/9, -2, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - (2 + 5 + -4).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yvyyyvyyvvvvvyvv. Give prob of sequence yyyy.\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -165 + 196. Calculate the highest common factor of 279 and h.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 243046287 divided by 12633\nAnswer: 19239","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from llubyuba. Give prob of sequence ybll.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -104\/315 and 143\/538920.\nAnswer: 3772440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 28285379.\nAnswer: 599, 47221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 0*t - 71 = -3*i, -6 = 3*t. Let p be 2\/(-6) + (-57)\/(-9). Suppose p*f = f + i. What is the remainder when 8 is divided by f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -2*b**3 + b**2 + b + 1. Suppose -5*c + 6 = -2*c. Suppose l = -3*r + 1, 26 = c*r - 4*l + 2. Determine x(r).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.940247mg to micrograms.\nAnswer: 5940.247","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*m + 8*m - 2. Sort 7, -1, m, -5.\nAnswer: -5, -1, m, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.023 and -0.2028?\nAnswer: -0.0046644","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -2.8 * 2.48454\nAnswer: -6.956712","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -decb (base 15) to base 3.\nAnswer: -2101202202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = -4*l - 3*p + 7, -2*l = -4*p + 14. Suppose 5*z + r - 2583 = 0, -l*z - r - 68 = -1619. What is the tens digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (78336\/(-448))\/(2\/(-21)). Suppose 378*o - 381*o + y = 0. Is o a multiple of 68?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -9.1527 + 0.1527. Which is the second biggest value? (a) 1 (b) t (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 8*f**3*i**2*q**3 + 3*f**3*q**2 + 205*f**2*i**2*q**2 + 3*f*i*q**2 - 43*i**2*q**3 + 2*i**2*q - i*q**3 wrt q?\nAnswer: 48*f**3*i**2 - 258*i**2 - 6*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -u**2 - u + 49. Let z = 7 + -7. Let q be o(z). What is the greatest common factor of q and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -8*d**2 - 183*d + 1. What is the hundreds digit of o(-20)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*y - 14*y + 12*y - 23*y.\nAnswer: -29*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 224148053 to the power of 1\/8, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h = -3*i + 16, -17 = -5*i - 13*h + 10*h for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 139268.8941 rounded to the nearest 1000?\nAnswer: 139000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 31302221 (base 4) to base 14.\nAnswer: 1682d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 211102 (base 3) to base 12.\nAnswer: 425","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) be the second derivative of -k**3\/6 - 3*k**2\/2 - 5*k. Let p(n) = n + 2. Give 2*i(t) + 3*p(t).\nAnswer: t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*(-5 - 0) - ((-12903)\/299)\/3.\nAnswer: -8\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 2\/13 (b) 4 (c) -29\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 925 - 83257\/90. Let b = h + 3\/10. What is u in -2\/9*u + b*u**2 - 4\/9 = 0?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 207778, 415100, 622422, 829744, 1037066, 1244388?\nAnswer: 1451710","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 9, -6, -3, 14?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 230c (base 15) to base 13\nAnswer: 3501","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 163440\/(-27)*(-7 + -743). What is m rounded to the nearest 100000?\nAnswer: 4500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*x**3 - x**3 + 12 + 4 + 16 + x**3 to the form b + c*x**2 + q*x**3 + s*x and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 121703 divided by -2\nAnswer: -121703\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1 - 0. Let w = -220 - -3738\/17. What is the second smallest value in -2\/7, w, r?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 36580 + -36580.00014475. What is l rounded to 4 dps?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2540 + 2759. Calculate the remainder when n is divided by 83.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 264 divided by -4852\nAnswer: -66\/1213","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 383 = -5*i + 1775, -2*i = 4*j - 2816. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:41 PM and 7:29 AM?\nAnswer: 588","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-1)\/(1 + 1)*-58?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 400452, 400548, 400702, 400908, 401160, 401452?\n\"Answer: -l**3 + 35*l**2 - 2*l + 400420","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = n + 10. What are the prime factors of i(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12*(-8)\/3 + 120\/(14 - -1)?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = -0*t + 3*t - 557, -t = 3*p - 189. Is 12 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 25*s + 2 - 16*s.\nAnswer: -41*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 4, 5, -3\/5, -1, -4, 1?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z = 5*z - 80. Let f(q) be the first derivative of -5*q**2\/2 - 2*q - 2. What is the lowest common multiple of f(-2) and z?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) be the first derivative of -381*g**5\/5 - 455*g**2 - 804. What is the second derivative of k(z) wrt z?\nAnswer: -4572*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 169886308*g**6 - 252809330*g**2 wrt g?\nAnswer: 20386356960*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -62*j - 1 + 69*j + 2. What is k(1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23962304809 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1275300 rounded to the nearest one hundred thousand?\nAnswer: 1300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: ((-255)\/3060)\/(((-3)\/3)\/(-26))\nAnswer: -13\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 104 is divided by 36?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k\/k**(-1))**(5\/17))**(-4\/7) assuming k is positive.\nAnswer: k**(-60\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 3*c + 29 = 2*x, 4*x + 2*c - 116 = 0. What are the prime factors of x?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 1\/3 (b) 26.6 (c) 0.05\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**15)**(20\/9)*s**(8\/11)\/s**(-1) assuming s is positive.\nAnswer: s**(1157\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 78.8837 nanoseconds to microseconds.\nAnswer: 0.0788837","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 29489.19153 - 29489. What is h rounded to three decimal places?\nAnswer: 0.192","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -36, -52, -68, -84, -100, -116?\n\"Answer: -16*r - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 70\/560 + 2267\/104 + -21\nAnswer: 12\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -99 = -17*u + 65*u - 3 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-476)\/(-392)*(-40)\/(-170)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -446 - -483. Suppose -293 - o = -11*h. Does 10 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7 - 8 + 46*v - 2.\nAnswer: 46*v - 17","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(693)\/(sqrt(11)*2)*2.\nAnswer: 3*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*o**3 - 2*o**3 - 2*o**4 + (1 + o - 1)*(3*o**3 - o**3 + 3*o**3) - o**4 + 3*o**4 - 4*o**4 - o**4 + o**4 + 2*o**4.\nAnswer: 3*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -703, -2, 11 in decreasing order.\nAnswer: 11, -2, -703","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j - 86*m = -82*m - 9, 5*j - 15 = m for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1328737?\nAnswer: 17, 47, 1663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 13448 or 13449?\nAnswer: 13448","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:21 PM and 2:33 PM?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -v - 1. Let q be t(-13). Suppose -40 = q*j - 16*j. Solve 2 = 6*z - z - 4*d, -j = -5*d for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -419*r - 2522 = -445*r. Solve -r + 61 = 9*x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) be the first derivative of y**5\/5 - 1991*y**3\/3 + 2039*y - 5197. What is the derivative of v(l) wrt l?\nAnswer: 4*l**3 - 3982*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + 1*(-2 + -3 + (0 + sqrt(612) - sqrt(612)) + -5).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -951*d**3*k**3 + 5*k**3 + 36*k**2 - 10*k with respect to d.\nAnswer: -2853*d**2*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 414*r**4 - 701*r**4 + 1880*r**4 + 0 + 0 - r**4 + (0 - 1 - 1)*(-r**3 + r**3 + 2*r**4) - r**4 + 2*r**4 + 0*r**4 + 0 - r**4 + 0 - 3*r + 3*r + 2*r**4.\nAnswer: 1590*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 435, 444, 451, 456, 459, 460?\nAnswer: 459","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*o**3*v**3 - o**3 + o**2*v**2 + 487*o*v**2 + 376*v**3 wrt v?\nAnswer: 12*o**3 + 2256","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 767 and 65?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 4 = -2*z, z - 2 = 5*u - 3*z. What is the tens digit of (-85)\/u*4\/(-5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-24)\/(-21) + 1\/(-7). Let c be ((-2)\/52)\/(j\/4). Let q = 0.09 - -3.91. What is the nearest to 1 in c, 3, q?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 6\/27 + 0 - (-98)\/(-198). Sort a, 2\/7, 5, -3.\nAnswer: -3, a, 2\/7, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -39 + 51. Suppose 2*z - 44 = -3*q - 0*q, -8 = -q - 2*z. Calculate the lowest common multiple of (n - 5)*(-1 - -5 - 0) and q.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 75 by 15.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -22*a**4 - 7342574*a**2 - 246540833*a wrt a?\nAnswer: -264*a**2 - 14685148","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*f + 17*f**2 - 4*f**2 + 27*f**2 - 49*f**2 + 9*f**2 - 2*f**3.\nAnswer: -2*f**3 + 6*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*r**2 + 0*r**2 + r**4)*(2 - 2 - 2) + r**4 + 61*r**2 - 61*r**2.\nAnswer: -r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-226)\/(-4))\/(3\/24). Let b = f + -322. What is b rounded to the nearest ten?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -120, -119, -116, -111?\nAnswer: -104","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.225, 0, 3, -1839?\nAnswer: -1839","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -6567, 893, 8351, 15807, 23261?\n\"Answer: -g**2 + 7463*g - 14029","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*v + 6*v - 10*v)*(-6*v + 8*v + 4*v) + 2*v**2 - 3*v + 3*v.\nAnswer: 26*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (-259)\/(-185)*6\/(-21)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1921*m - 374*m**3 + 933*m + 1006*m.\nAnswer: -374*m**3 + 18*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -323\/10 + 742\/15. Calculate the common denominator of 33\/4 and m.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 3*o - 3. Let b be s(2). Let k(a) = 2*a**2 - 5*a + 2. Let y be k(b). Suppose 20 = 13*f - 18*f. What is the third smallest value in 4, f, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 10 (b) -35 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1635*i**3*j**3 - 2*i**3 - 1904*i*j**3 + 5*i + 4489067 wrt j?\nAnswer: -4905*i**3*j**2 - 5712*i*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.17 from -28061131860.\nAnswer: -28061131860.17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 4*p - 4*c + 36 = 0, -2*c = -p - 12. Let k be 1\/(((-1)\/p)\/1). Solve 27 = -5*h + k*o, 3*o - 15 + 0 = 2*h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 5 - 4 = 2*l, -5*l + 20 = 5*m. Let w(b) = -289*b - 5215. Let r be w(-18). Put -4, l, r in decreasing order.\nAnswer: l, -4, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 149138489 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*x**2\/6 + 114350*x\/3 + 533715\/2.\nAnswer: -5*(x - 45747)*(x + 7)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-7)*j)**(-2\/29)\/((j\/j**10*j)\/j**24))**18 assuming j is positive.\nAnswer: j**(16920\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -1 - 2 + 47*u**2 - 4 + 3*u - 46*u**2. Determine y(-5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 = 5*v - 13. Let y(z) = z**3 - 7*z**2 - 9*z + 7. Let m be y(v). Does 18 divide 7*(m + 86\/14)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wxwywwwswwxswwwywww. What is prob of picking 1 x, 2 s, and 1 y?\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -6 - (-2)\/2 - 2. Let z = t + 11. Suppose 27*p = 26*p + 6. Calculate the remainder when p is divided by z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j when two letters picked without replacement from ljjj.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (-37)\/(-5) - ((4 - -11) + -8)\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 40444211 (base 5) to base 2\nAnswer: 1010000000101111000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.813755 tonnes in kilograms?\nAnswer: 8813.755","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4 + 1. Suppose -2*x + d - 1 = 0. Suppose 4*f - 3*f + x = 0. Is -2 at least f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.04*-0.23.\nAnswer: -0.0092","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 23446?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*n + 6 = 25*n. Suppose -2*a - 127 = -n*a. Suppose -2*o + 47 = 15. Calculate the remainder when a is divided by o.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0 - -2. What is the units digit of 0 + -3 + p - -5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-31)\/124*208\/(-4).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 2*k**2. Let z(i) = i. Let m(h) = -h + 4*h + 0*h - 5*h**2. Let w(g) = m(g) - 3*z(g). Determine d(w(p)).\nAnswer: 50*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - (-3 + 11)) + 446 + -457.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -694 - -757. Let l = 140 - 81.8. Let u = l - f. Round u to the nearest ten.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((30615\/75)\/(-157))\/(2\/(-5))?\nAnswer: 13\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3, 0.6, 1\/36, -11, -153?\nAnswer: -153","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 130.95 + -127.55. What is the second biggest value in -2\/19, -5, q, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*j**2 + 11*j**3 + 0*j**2 + (28 - 12*j - 28)*((2*j - 2*j - j)*(j - 3*j - 2*j) - 3 + 3 - 2*j**2) as v + m*j + d*j**2 + a*j**3 and give a.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 283 minutes before 9:07 AM?\nAnswer: 4:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 79 - 44. What are the prime factors of t?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -20 - (-5 - -6) - -10?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 205219391 to the power of 1\/2, to the nearest integer?\nAnswer: 14325","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*6*sqrt(425) - ((sqrt(68)*3 + sqrt(68))\/sqrt(4) + 5*(sqrt(17) + sqrt(34)\/sqrt(2))).\nAnswer: 136*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -305 - -222 - (-1 + -32).\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -34 divided by -19078072.\nAnswer: 17\/9539036","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -2*r + 24. Let i be g(11). Let n(b) = 2*b**2 + 1 + b**i - 13 - 4*b**2. Let h(s) = -3*s**2 - 47. Let w(x) = 2*h(x) - 9*n(x). Differentiate w(a) wrt a.\nAnswer: 6*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-3032)\/3790*(-5)\/(-32)\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0056836 to three decimal places.\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 408 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 473 + -469. Suppose 5*z = -2*v + 1806, -2*v - p*z + 1352 + 456 = 0. List the prime factors of v.\nAnswer: 2, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3\/(108\/(-8)) - 2\/(-9). Suppose -6195 = -4*h - 3*a, -9*h + 13*h - 3*a - 6165 = t. What is the units digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 3, b: 1, z: 1, v: 1, k: 1}. Give prob of picking 1 v and 1 b.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + 1*(sqrt(240)\/(sqrt(15)\/sqrt(3)) + sqrt(48)))*-1)**2.\nAnswer: -32*sqrt(3) + 196","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1 - 1310013232?\nAnswer: -1310013231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-684)\/247)\/(42\/273).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -61165.6*-0.5\nAnswer: 30582.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 890*r**3 - r - 859.\nAnswer: 2670*r**2 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/(l\/l**(-2\/21)))\/(l*l**(-8)))**(3\/22) assuming l is positive.\nAnswer: l**(145\/154)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide 424952740 by 17.\nAnswer: 24997220","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - -1 - -15) + -3 + -7?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -b**3 + 4*b**2 - 2*b - 1. Suppose f = -4*f + 15. Calculate q(f).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) be the third derivative of 101*s**7\/105 - s**5\/10 - s**3 - s**2. What is the third derivative of a(y) wrt y?\nAnswer: 4848*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 154 + -138. Let v(q) = q**3 - 16*q**2 - q + 16. Let k be v(o). Factor 0*r + k + 1\/8*r**2.\nAnswer: r**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7 + 1 + 6 + 6*l.\nAnswer: 6*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -1850091, -1850092, -1850091, -1850088?\n\"Answer: y**2 - 4*y - 1850088","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -4 - 1.941850372239\nAnswer: -5.941850372239","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 575832308.\nAnswer: 2, 143958077","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) be the second derivative of 7*b**5\/10 - 4*b**4\/3 + 2*b. Let i(r) = r**4 + 29*r**3 - 31*r**2. Let j(c) = -2*i(c) + 5*p(c). Find k, given that j(k) = 0.\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 618 and 9654?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - ((0 - 1) + 1 + 4)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-1\/46)\/j**38)\/(j**22*j*j*j*j\/(((j\/(((j*j\/(j**(-27)*j))\/j)\/j))\/j)\/j)) assuming j is positive.\nAnswer: j**(-4187\/46)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*j + 3794 = 16982. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16928?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 4*r + 3465 = y, 0 = 2*y + r - 2299. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*a**3 - 13*a**2 - 5*a**3 - 19995516574*a + 13*a**2 + 19995516574*a - 11*a**3.\nAnswer: -20*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -18568 - -18577. Let y(u) = -11*u + 55. Give y(p).\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -72 - 554 = -96*c + 46 for c.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-50)\/8 + 4\/16. Let d(b) = b**2 + 5*b - 4. What is d(o)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 111203872.\nAnswer: 2, 13, 267317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1300 + 589 + 9*b**3 - 3*b**3 + 713.\nAnswer: 6*b**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 2*h**2 - 9*h - 5. Let j(x) = -x**2 + 4*x + 3. Let m(q) = -5*j(q) - 2*s(q). What are the prime factors of m(6)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2179 + -2174. Solve 5*t + 4*c - 11 = 0, 14*t - 11*t - v*c + 23 = 0 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 3*w - 7. Solve -4*b + 5*r = 25, -10 = -3*b + w*r - 6*r for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.07562 and -3.\nAnswer: -0.22686","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 8\/631 + -3750\/196241. Let n = 305\/933 - x. Let p = 1277\/4 + -322. Which is the nearest to 1? (a) n (b) p (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1168381 is divided by 1385?\nAnswer: 826","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 65747.28ml?\nAnswer: 65.74728","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11010101 + -110101?\nAnswer: -100001010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = y**3 - 9*y**2 - y - 6. Let v(u) = u**3 - u**2 + 1. Let n(g) = s(g) - 2*v(g). Let d be n(-7). Let o = d + 19. Is o a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.4 + 0.3. Let z = 0.1 - g. Let n = -24500 - -24505. Put z, 4, n, -4 in descending order.\nAnswer: n, 4, z, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -9 + 1a18068a?\nAnswer: 1a180681","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*y + 20 + 2*y - 21 + (1 + 1 + 0)*(y + 3*y - 2*y).\nAnswer: 9*y - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 28*m*z**4 - 11*m*z**3 - 637980*m*z**2 + 15*m + 46754*z**5 wrt z.\nAnswer: 672*m*z - 66*m + 2805240*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 2*u**2 - 2*u - 1. Let v be d(-1). Suppose -2*b + 5 = -r, -3 = -r - 0. Find the second derivative of -59 + 59 - o - b*o**v wrt o.\nAnswer: -24*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + 27 + -10 + -25?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -3*((-63)\/(-27) + 4)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 917?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 138 + -225. Let a = u - -176. What is the remainder when a is divided by (-9)\/(-3 + 108\/40)?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) be the second derivative of r**4\/12 + 53*r**3\/6 + 52*r**2 + 12780*r. What is p(-51)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b**5\/3 + 293*b**4 + 7987*b**3\/3 + 1507*b**2 - 23934*b - 37296 = 0. Calculate b.\nAnswer: -7, -3, -2, 3, 888","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9)\/(-6)*2\/(-1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 4635, 3733, 2817, 1887, 943, -15, -987?\n\"Answer: -7*p**2 - 881*p + 5523","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23 is divided by 3 - ((0 - -2) + -5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 25.224 in -4, -0.5, 0.02, -5?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 152 + -23. What is the remainder when t is divided by 33?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -5 and -86000.\nAnswer: 430000","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 117*j**3 + j**2 - 3*j + 3. Is v(1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -125242.57 * -4.1.\nAnswer: 513494.537","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 2*r**2 - 5*r + 4. Let m be c(7). Suppose -4*u + 14 = b, -3*u + 54 + m = 5*b. What is the units digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -4 - -60 - 0\/(-1). Let m = -16 + y. What is the common denominator of -36\/5 and m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10*9\/(-18))\/((340\/6)\/17)?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 312484 to the power of 1\/5, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) be the second derivative of f**6\/10 + 3*f**5\/2 + 6*f**4 + 11*f**3 + 21*f**2\/2 + 33*f. Factor l(d).\nAnswer: 3*(d + 1)**3*(d + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 221 and 81396.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = a**3 + 2*a**2 + a. Let v = 13 + -19. Let x be (v - (4 - 8)) + 0. What is r(x)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 14 and -292675.\nAnswer: -4097450","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29*g - 95*g + 30*g + 34*g + 4 + 40*g**2.\nAnswer: 40*g**2 - 2*g + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h\/(h\/h**(-2\/13)))**(2\/21) assuming h is positive.\nAnswer: h**(22\/273)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.053, 2\/5, -4 in descending order.\nAnswer: 2\/5, -0.053, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 199*p**4*z + 2*p**4 + 30*p**2 + 2*p*z - 2*z wrt p?\nAnswer: 4776*p*z + 48*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 3*r**2 + 9*r + 409. Let j(y) = y**2 + 2*y + 102. Calculate -9*j(d) + 2*n(d).\nAnswer: -3*d**2 - 100","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 33\/76 and -55\/284.\nAnswer: 5396","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -9 or 2621.86?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*g**2 + 5*g**2 + 15*g - 4*g**2.\nAnswer: -5*g**2 + 15*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 234, -1001, -2236?\nAnswer: -3471","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1494043 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-4)\/(-6))\/(24\/88). Let s = 25\/9 - t. What is the smallest value in s, 5, 2?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 7\/2 of a microsecond?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4093 - 248131.\nAnswer: -244038","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.01321 to 3 dps.\nAnswer: -0.013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of b**4*r - 25*b**2*r**2 + r**2 + 154*r - 42 wrt b?\nAnswer: 4*b**3*r - 50*b*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(2\/9)*p)**40)**14*p**2*p**(-5)*(p**(-1\/3))**34 assuming p is positive.\nAnswer: p**(6031\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -5162*y + 145206. Give w(28).\nAnswer: 670","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 8 = 1. Let s(v) = v**3 + 6*v - 4*v**3 + 4*v**3 - 3 - 3*v**2 - 3*v. Calculate the remainder when s(4) is divided by a.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28*z**2 - 18*z**2 - 16*z - 11*z**2 - 21*z - 24*z + 61*z.\nAnswer: -z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 5528, -22267, -50048, -77809, -105544, -133247, -160912, -188533?\n\"Answer: k**3 + k**2 - 27805*k + 33331","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -3*(4\/6 - 18\/(-27)). Let x = -42 - -42.2. Which is the third smallest value? (a) x (b) l (c) -17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 24867\/20 - 1243. Let u(m) be the second derivative of 0*m**4 - p*m**5 + 1\/6*m**3 + 0 + 5*m + 0*m**2. Find the second derivative of u(c) wrt c.\nAnswer: -42*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bwwk when four letters picked without replacement from bbwkbbbbbbbkwwwbw?\nAnswer: 5\/714","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/(-3) - 20\/12. Suppose 4*a - 5*t + 16 = -3, 0 = 2*a - 4*t + 14. Are i and a equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 6, q: 1, h: 2, z: 2, b: 1}. Give prob of picking 4 g.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -88756224, -88756223, -88756222?\n\"Answer: m - 88756225","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(85) - (sqrt(85)*-3 + sqrt(85) - sqrt(85)))*5)\/(sqrt(140)\/sqrt(7)).\nAnswer: 10*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -2*(-2)\/(-26) - (-627858)\/234 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 - 56*h**2 + 19*h**2 + 4 + 32*h + h**3.\nAnswer: h**3 - 37*h**2 + 32*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -2*q**2. Let m(j) be the first derivative of -5*j**3\/6 + j + 4. Let o(v) be the first derivative of m(v). Give o(h(k)).\nAnswer: 10*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6 - 3. Suppose 4*u - 512 = j*q, -771 = 4*q - 2*u - 75. Round q to the nearest 10.\nAnswer: -180","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:21 PM and 11:19 PM?\nAnswer: 418","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -42155 (base 7) to base 11\nAnswer: -7886","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -76 + 356. Is r a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 53.144 + -53.244. Let y = 4 + -4.5. What is the nearest to u in -5, y, -1.7?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l\/((l\/(l*l*l*l**(-4))*l)\/l))\/(l**5*l))**(1\/2)*(l**6\/l**(-1\/9))\/(l**2\/(l**(1\/9)\/l)) assuming l is positive.\nAnswer: l**(2\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, f: 2, c: 1, e: 1}. What is prob of picking 1 k and 1 f?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = -25, 0 = -2*g - g + 5*b - 32. Let p = g - -21. Suppose 5*i = u - 91, 0 = -3*u + p*u + 3*i + 97. List the prime factors of u.\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1557 is divided by 41.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 337099*i - 6741996. Calculate n(20).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) be the second derivative of 3*y - y**2 + 0 + 0*y**3 + 1\/3*y**4. What are the prime factors of f(2)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*z**3 + z**3 - 3*z**3)*(-z**2 + 0*z + 0*z)*((6 + 5 - 6)*(-1 - 1 + 0) - 2 + 4 + 2).\nAnswer: 12*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 15371 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -1559, -3307, -5073, -6863, -8683, -10539, -12437, -14383?\n\"Answer: -v**3 - 3*v**2 - 1732*v + 177","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*t + 3*t**2 + 13*t.\nAnswer: 3*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) be the third derivative of -1\/15*d**5 - 1\/336*d**8 + 1\/3*d**3 + 1\/60*d**6 - d**2 - 1\/24*d**4 + 1\/105*d**7 + 0*d + 0. What is j in u(j) = 0?\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5 + 10. Suppose 2*q - 24 = b*o, 12 = 2*q - 0*q - 2*o. What is the third derivative of 5 - 5 + f**q - 2*f**4 wrt f?\nAnswer: -48*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -7 + (1 - -2 - -8). Which is the closest to 0.4? (a) 5 (b) -2 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3187, -6375, -9561, -12745?\nAnswer: -15927","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = -3*d + h + 68, -5*d + 344 = -3*h. Let w be 23\/(-1)*(3 - 6). Is d > w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-75)\/35 + (2\/21)\/(2\/3)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = p + 2*y + 2, p + 0 = y - 11. Let i = -10 - p. List the prime factors of ((-57)\/12)\/(i\/8).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 12 + -11. What is the closest to n in -1, 1, 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 7*z**2 + 286*z + 5. What is the tens digit of u(-48)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 17951130 and 144.\nAnswer: 143609040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 + 5*u + 5*u**4 - 2*u**3 + u**3 - 2*u**2 - 12*u**4 + 5*u**4 to h*u**2 + p*u**4 + o*u**3 + a*u + q and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:47 PM and 7:54 AM?\nAnswer: 547","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + -1 + 2 + 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 106*i**3 + 2 - 159*i**3 - 2.\nAnswer: -53*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that 4*d**4\/13 + 30*d**3\/13 - 92*d**2\/13 + 6*d - 20\/13 = 0.\nAnswer: -10, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -320.9914 - 0.0086. Let d = w - -321. What is the nearest to d in -1.4, 6, -5\/2, 4?\nAnswer: -1.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-111)\/8 + (1755\/312)\/(-45).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -284 - -428980.9.\nAnswer: 428696.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 1461 = -2*g - 429, -5*n + 1561 = 3*g. What are the prime factors of g?\nAnswer: 11, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-52)\/44 + 1 + 240\/(-1584). Which is the closest to 0? (a) -0.5 (b) -4\/9 (c) z (d) -7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n - 7 = -52. Suppose 0*o = -3*o + n. Suppose o*d - 3*l = -4*l + 439, 0 = -3*d - 3*l + 447. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) be the first derivative of -8*v**3\/3 - 5*v**2 - 6. Find the second derivative of n(p) wrt p.\nAnswer: -16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-34269)\/(-4 + 60\/20)?\nAnswer: 3, 11423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ammm when four letters picked without replacement from mamaama.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 186090?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a kilometer in centimeters?\nAnswer: 20000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 13 - 7. Let z be x*(-1)\/2 + 11. Let q = -5 + z. List the prime factors of q.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -159 - -159.1. Suppose -5*b = -3*m - 24, 0 = -4*b - 0*b + 12. What is the closest to 0 in l, m, -3\/7?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = 21*a - 16*a, -3*z = -5*a - 40. Solve 3*g + z = -2*g for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + 9 - (12 - (1 + 2))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -5, 2\/11, -913.1, 0.04, -1\/6, -0.2?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -19 + 20. Solve -3*h + 0 = 3*z - 18, -h + 4*z = -c for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 67\/28 and -101\/2740?\nAnswer: 19180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in twenty-nine fifths of a millennium?\nAnswer: 69600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -3 - n**2 + 4 + 2*n**2 + n**3 - 8*n + n + n. Give j(4).\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -277783\/7 - -39683. Let m be (10\/4)\/((-1)\/(-2)). Let n = m + -10. What is the closest to -1 in n, h, -9?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1\/3 - 5\/33. Let d(q) = q**2 + 5*q - 1. Let y be d(-6). Let j = -9 + y. Which is the smallest value? (a) h (b) j (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 98\/5 of a micrometer?\nAnswer: 19600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1470 and 8393595.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:25 AM and 7:45 PM?\nAnswer: 620","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hx when two letters picked without replacement from {x: 6, q: 4, e: 2, h: 3}.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -27414*v - 14515.\nAnswer: -27414","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aw when two letters picked without replacement from dadw?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -42*m**2 - 15. Let y(l) = -10*l**2 - 4. Let t(v) = -4*d(v) + 15*y(v). Let g(i) = i. What is t(g(b))?\nAnswer: 18*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, -0.4, 1\/5, -0.3, 43, -9 in descending order.\nAnswer: 43, 9, 1\/5, -0.3, -0.4, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*k - 19 = r, 2*r - 23 - 11 = -4*k. Suppose -2*j = 3*s + j + 339, 2*j = -s - 113. Let g = -14 - s. What is the highest common factor of g and r?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 4, 2\/3, -0.36?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 45\/10*44\/(-231).\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 676 is divided by 155.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out 10491 * 31.\nAnswer: 325221","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -3 - 8 + 5 - h + 6. Let n be (-72)\/(-18) + -1*2. Let x(z) = -z**n + 173 - 173. Give x(w(j)).\nAnswer: -j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 135 minutes before 3:05 PM?\nAnswer: 12:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Product of 26471.39 and -1.\nAnswer: -26471.39","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 29 - 4. Suppose 274 - z = 3*w. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.019 - -0.019. Let r = -70 + 62. Let h = r + 9. Which is the second smallest value? (a) h (b) k (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 345351*o**5 - 62*o**2 - o + 4?\nAnswer: 20721060*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9*-584.5.\nAnswer: -5260.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 27659*v**3 - 6*v**2 + 2*v - 106880 wrt v?\nAnswer: 165954*v - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 - (-2 - -4)) + 7 + -4.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*f - 15*f - 17*f = 90 for f.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 102 = 136*g + 102 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -g + 16. Let x be d(13). Suppose 2*w - i - 2 = i, -w - 3*i = x. Let s(o) = -o - o + w*o. Let t(f) = 10*f. Give -16*s(h) - 3*t(h).\nAnswer: 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -l**2 + 2*l + l - 1 - 2*l. Let w be m(0). Let a = 8.6 - 9. Sort 4, a, w in descending order.\nAnswer: 4, a, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4030 by -2015.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*p - 42 + 12 = 0. Suppose 4*l + 20 = 2*t, 8*l = -2*t + p*l - 16. Let u(s) = s**2 + 2. What is the least common multiple of u(2) and t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9458.228 kilograms to nanograms.\nAnswer: 9458228000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 1, b: 1, c: 1, f: 2, a: 2}. Give prob of picking 1 a and 2 f.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 13930352 and 5772?\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 20476 by -10238.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i + 4*i = 276. Is i a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (12\/(-42))\/((-9)\/7). Which is the nearest to g? (a) 71 (b) 3 (c) -2\/7 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.54063 to 1 dp.\nAnswer: -2.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - a - 5*w = 12, 3*w = -9. Suppose -5*t = -0 - 10. Suppose -l - 4*y = 14, -l + y - t + 3 = 0. Is l bigger than a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 2*p**3 + 9*p**2 + 11*p + 11. What is the lowest common multiple of 192 and j(-2)?\nAnswer: 576","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 260266 divided by -260266.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*u + 7*u - 15 + 15.\nAnswer: -5*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(1\/18)\/m)**(-16))**(-8\/3) assuming m is positive.\nAnswer: m**(-1088\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -f**3 - 15*f**2 + 16*f + 9. Determine n(-16).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 136403 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: Two letters picked without replacement from {b: 7, n: 6}. What is prob of picking 2 n?\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15 divided by -1.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 76869?\nAnswer: 3, 13, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -76b19 (base 12) to base 14.\nAnswer: -41393","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = -18 + 12. Let p(f) = -f**3 + 3*f**2 + 4*f - 11. Let n be p(u). Let z be (-476)\/(-170) - n\/(-5). Let x(a) = a + 1. Give x(z).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from naokngokznggokk. What is prob of sequence kg?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 61059817?\nAnswer: 7, 13, 670987","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -112 - -158. Suppose -b = -0*b - 12. What is the remainder when h is divided by b?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 7*d + 4*s - 216 = 0, -3*d + 5*s = -194. What is the units digit of d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -24 + (2 - 9 - (-17 - -24 - 18)).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 5, 0, 2, -358 in decreasing order.\nAnswer: 5, 2, 0, -3, -358","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-2)\/(-9))\/(-1) + 235\/45. What is the highest common divisor of g and 40?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -31636 divided by 8895.\nAnswer: -31636\/8895","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 57814 a multiple of 137?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = i + 1. Let g be v(-3). Let u(x) = -x. Let k be u(g). Suppose 154 = 3*w - 0*w + k*z, -2*w + 101 = 3*z. Does 18 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k - 538*c + 29 = -543*c, 3*c + 18 = -k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*z**3 - 556*z**2 + 11360*z - 36800.\nAnswer: 4*(z - 115)*(z - 20)*(z - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = d**3 + 5*d**2 + 5*d + 1. Let p(z) = 0*z**2 - 5*z + 2*z**2 + 7*z. What is 2*a(n) - 5*p(n)?\nAnswer: 2*n**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) be the first derivative of 2*d**3\/9 - 1. Determine m so that b(m) = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 260735.677 rounded to the nearest ten thousand?\nAnswer: 260000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -1607c (base 15) to base 5\nAnswer: -4232432","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-26)\/(-91))\/((-35)\/(-15) + -3)?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.2 or -369475480?\nAnswer: -369475480","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -5*s - 2*j - 3*j, 5*j + 4 = s. Suppose 3*i + 5022 = 2*g - i, 0 = s*g + 2*i - 10074. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 2*d + 6 = 0. Solve 5*q = -4*n + 12, -5*n + 2*q = -10*n - d for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12*(63\/(-35))\/9)\/(172\/1935*3).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 9017473 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 2581*a**2 - 5*a + 16. Let w be s(3). Does 14 divide (-1)\/3 + -1 + w\/30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that -52\/3*w**4 + 2\/3*w**5 + 0 + 392\/3*w + 94*w**3 + 728\/3*w**2 = 0.\nAnswer: -1, 0, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6*3\/36 - (-3)\/(-42).\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 60 and 1263040?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -188445.251 to the nearest 10.\nAnswer: -188450","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 148 = 7*o + 190 for o.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/3*(-18)\/102. Which is smaller: g or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 234, 5, -4, 1211 in ascending order.\nAnswer: -4, -2, 5, 234, 1211","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*b - 7 - 9. Solve 5*h - 17 = -4*o + 2*h, 4*h - 20 = -b*o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 2*w + 0*w = 8, -2*k - 3*w + 9 = 0. Suppose -t - k*t - 8 = 0. What is the units digit of (0 + -3)*t\/6?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.151074 hours in nanoseconds?\nAnswer: 543866400000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = -v - 408. Let w = 333 + -182. Let t = v + w. What is the tens digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 11870?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 - 3 = -2*b. Solve -4*z - 1 = -b*z for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) be the third derivative of v**5\/60 + v**4\/6 - v**3 + 44*v**2. Calculate the remainder when f(-11) is divided by 27.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -v + 15. Let h be l(9). Suppose -p - 3 = -4*y + 18, y - h = p. Let u(t) = t**3 - 4*t**2 + 4*t - 3. What are the prime factors of u(y)?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 20*(5 + (-38)\/8). Let i be ((2 - 2)*(4 - a))\/3. Which is smaller: -1\/455 or i?\nAnswer: -1\/455","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 16516 (base 11) to base 13\nAnswer: a775","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 85509936?\nAnswer: 2, 3, 191, 3109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 2301*f - 62083. Give s(27).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -693 or -694?\nAnswer: -693","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -f**2 - f + 5. Let c be n(-3). Let r(z) = 9*z**2 + 5*z - 2. Let x(p) = -p**2 - p. Let j(y) = c*r(y) - 5*x(y). Differentiate j(m) wrt m.\nAnswer: -8*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*l**3 + 33 - 5*l**2 + l - l**4 + 3*l**2 - 33 as q*l**2 + v*l**3 + o*l + i + z*l**4 and give v.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.4 and -77417108.28442?\nAnswer: 77417108.68442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 3804177 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 607662, 2430923, 5469686, 9723945, 15193694, 21878927, 29779638, 38895821?\n\"Answer: -w**3 + 607757*w**2 - 3*w - 91","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -74, -317, -718, -1277, -1994?\nAnswer: -2869","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5*g**6 - 3*g**5 - 6*g**2 + g?\nAnswer: 600*g**3 - 180*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2215525 + 24*g - g**3 + 2*g**2 + 0*g + 2215509 - 2*g**4 to i + m*g + k*g**2 + u*g**3 + o*g**4 and give m.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -12 + (17 - 1 - 18)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 6, m: 1, f: 2, l: 6, g: 2, o: 1}. Give prob of picking 1 o and 1 m.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 86042720.\nAnswer: 2, 5, 113, 4759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) be the second derivative of -a**6\/10 - 9*a**5\/10 - 9*a**4\/4 - 2*a**3 + 51*a. Determine z, given that j(z) = 0.\nAnswer: -4, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 56\/(-7)*(-6)\/12.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 39 - 275\/7. Let v = 3 - 8. Which is the second biggest value? (a) d (b) v (c) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2017037362 to the nearest integer?\nAnswer: 44911","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -5841, -5841, -5843, -5847, -5853, -5861?\n\"Answer: -s**2 + 3*s - 5843","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -39544 or -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 540889313.\nAnswer: 277, 281, 6949","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*c - 23*c - 135 = 0. Let y(d) = d**3 + 15*d**2 + 39*d - 6. Let o be y(c). Suppose 7*u - 6*u = o. List the prime factors of u.\nAnswer: 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1411600003715\/1566 - 901404906. Let v = g - 1\/783. Calculate the common denominator of 114\/20 - (-4)\/(-10) and v.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 384007.8 decades?\nAnswer: 3840.078","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (1*(-15)\/65)\/(((-656)\/80)\/41)?\nAnswer: 15\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 1 d when two letters picked without replacement from {w: 1, l: 1, a: 2, s: 1, x: 1, d: 2}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 58, -2, 0.4 in decreasing order.\nAnswer: 58, 0.4, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = u**3 + u**2 + u - 7513569. Let k be f(0). Let n = 120265651\/16 + k. Let j = -3036 + n. What is the common denominator of -15\/22 and j?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -262 - -390. What is the remainder when h is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -321 + 520. Let y = v - 64. Let w = y + -127.9. What is w rounded to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 3*a**2 - 50*a - 129. Determine p(19).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 3*v**2 + v - 2. Let k(x) = 16*x**2 + 4*x - 10. Let o(t) = -2*k(t) + 11*n(t). Let i be o(-3). Let j = 5 + i. What is the units digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 82 divided by -3108.\nAnswer: -41\/1554","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.7 - 0.8. Let l = 57\/2 + -29. Let v be 1 + 8\/7 - 2. Which is the nearest to l? (a) v (b) 3 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 2110 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -12*(-1)\/2 - -1. Suppose 3*l - 3*k + 117 = v*l, 3*l + 5*k = 74. Is l a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1174 + 15a0?\nAnswer: 2714","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 38103 and 78.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -1*(2\/12*-3 - 0). Let m(s) = s**3 + 6*s**2 + 4*s - 2. Let v be m(-5). Which is the second smallest value? (a) -1\/3 (b) v (c) l (d) -2\/17\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 950 - 579. Let u = w + -182. Let p be 6\/18*(1 + 80). What is the highest common factor of u and p?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -346*y - 341*y + 1032*y - 339*y.\nAnswer: 6*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 72\/17 - 758\/187. Suppose -2*r = 4*n - 0*r + 6, -4*r + 12 = -4*n. What is the nearest to -0.1 in p, n, 4?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s*s**(-21))\/s)\/s)\/(s*s**(-15)) assuming s is positive.\nAnswer: s**(-8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -9.7408782 + 20.61821694. Let t = -88.87733444 + f. Let p = t + 78. Round p to 6 decimal places.\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*s**5 + 2814*s**4 - 10885*s**3 + 372*s**2 = 0. Calculate s.\nAnswer: 0, 1\/29, 4, 93","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*w - 7 + 44*w**3 - 3 + 42*w**3 + 0 - 85*w**3 in the form n*w**2 + c*w**3 + r*w + a and give a.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = f - 2 - 6. Let s = f + -2. Let g(k) = -k**2 + 6*k + 2. Calculate the lowest common multiple of 2 and g(s).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 137\/2 - 70. Suppose -10*f = -6*f + 260. Let x = f + 63. Which is bigger: j or x?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -183 - -181 - (1 - 14)\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2131 = -9*k + 2239. Calculate the lowest common multiple of 1242 and k.\nAnswer: 2484","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-6)\/(-3))\/((-2)\/(-4)). Suppose 0*g - w*g = -172. What is the tens digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:20 AM and 1:44 PM?\nAnswer: 504","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 2*r - 2. Let c be j(-4). Let u be (-314)\/c - (-6)\/(-15). Suppose 5*v = 29 + u. Calculate the greatest common divisor of v and 48.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -t**3 + 7*t**2 - 5*t. Let b be u(6). Suppose -w + b*w = -315. What is w rounded to the nearest ten?\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -8.2225 and -0.75.\nAnswer: 6.166875","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -3*z - 4. Let o be v(-3). Suppose -2*s + s = 2*r, -4*s - 6 = o*r. Let t = 0 + 1. Solve -3*x - t = a, -r*x - 2*x = -3*a + 23 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -2*t**2. Let s = 6 - 6. Let p(d) = -7*d + 5*d - 3 + s + 2. Give p(i(j)).\nAnswer: 4*j**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -5*v**3 + 24*v**2 + 5*v + 53. Let z(x) = -13*x**3 + 73*x**2 + 14*x + 158. Let r(s) = -8*h(s) + 3*z(s). Give r(-27).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.4 and -209126?\nAnswer: 209126.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*f - 0 - 20. Suppose 10*z - 15*z - 29 = 3*n, 2*n = 3*z + 6. Put z, f, 8 in increasing order.\nAnswer: z, f, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a - 2039*p + 2033*p + 44 = 0, 144 = 31*a + 5*p for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 4759 to the power of 1\/3, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aauuuaaaaa. What is prob of sequence auau?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*u**3\/3 - 35772*u**2 + 9839216*u\/3.\nAnswer: 4*u*(u - 26737)*(u - 92)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -30*t - 1542*t**5 - 10*t - 9*t + 47*t + 5306*t**5 - 2526 wrt t?\nAnswer: 75280*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.06? (a) 4 (b) 2\/5 (c) 50.96\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1284 is divided by 41?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-10)\/6)\/((-4)\/(-12)). Suppose 0*b + 19 = 2*b - 5*l, -4*b + 5 = l. Let j(a) = -4 + 6*a**b + 0*a**3 + 4*a - a + a**3. Give j(w).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 5*h + 1185 + 407 = 0, -2*h = -3*u + 4691. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 5, -26, 2\/7?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 9*l**3 + 4*l**2 + 10. Suppose 204 = -6*a + 29*a + 11*a. Let w(y) = 19*y**3 + 9*y**2 + 21. What is a*w(d) - 13*k(d)?\nAnswer: -3*d**3 + 2*d**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -5*f - 2. Let r be ((-12)\/9)\/(f\/(-6)). Let j(u) = u - 2*u + 6*u**2 - u**3 + 1 - 2*u**2. Give j(r).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13156 is divided by 57.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 331 minutes after 4:26 PM?\nAnswer: 9:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 517*c**3 + 454*c**3 - 97*c**3 + (2*c - 3*c + 2*c)*(c + 2*c**2 - 4*c + 0*c**2) to z + t*c**2 + b*c**3 + r*c and give b.\nAnswer: 876","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-16)\/(-200))\/((-1)\/5)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, -3, -1544, -16, -5, -1 in decreasing order.\nAnswer: 11, -1, -3, -5, -16, -1544","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = 60*f - 64*f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 8, -1, 223?\nAnswer: 223","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 107 - 2*i**4 - i**2 + 187 - 40 + 178 - i**2 to g*i + h*i**2 + d*i**4 + u + p*i**3 and give u.\nAnswer: 432","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 610 minutes after 11:08 AM?\nAnswer: 9:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = r**3 - 120*r**2 + 1925*r - 517. Give b(101).\nAnswer: 89","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1 + 1.5. Which is the nearest to 1\/2? (a) 0.4 (b) -5 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 23, 34, 45?\nAnswer: 56","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (4\/6)\/((-2)\/3). Let j(d) = 40*d - 48. Let q(u) = u - 1. Let s(l) = i*j(l) + 48*q(l). Suppose -c + 9 = -4*f, -c + 2*f - 7*f - 9 = 0. Give s(c).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -s**3 + s**2 + 1. Let y be v(2). Let w(t) = -t**3 - 3*t**2 - t - 1. What is the units digit of w(y)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o - 2*m = 2*o + 36, 3*o - 3*m + 36 = 0. Let t = 10 - 11. Let w be ((-8)\/6 - t) + (-50)\/o. Solve -w*p + 1 + 5 = 0 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 388*q**5 + 3*q**2 + 4007*q?\nAnswer: 7760*q**3 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -38.3557 times -0.5?\nAnswer: 19.17785","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1380 by -60.\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 283?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-177)\/(-3) + (2652\/(-390) - 1\/5).\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*y + 63 = 8*y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -j**3 - 2*j**2 + 8*j + 3. Let l be 3\/7 - ((-567)\/49 + 10). Suppose 4*t - 3 = 3*x, -l*x - t = -5*t - 2. Calculate m(x).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4320 = 309*f - 114*f - 87*f for f.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - m - 3 = 0, -5*q - 5*m = -3*q + 15. Let r be (q\/(-1) - -3)*(-1829)\/(-93). Let t = r - 55. Solve -3*c - 5*g + 12 = -g, -5*c = t*g - 20 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 109 and 91.\nAnswer: 9919","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (-24)\/14*(-49)\/196?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 230980 rounded to the nearest 1000?\nAnswer: 231000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = r + 3*y - 3, 2*r - 2*y = -14. What is the lowest common multiple of 33 and r\/(-4)*-30*12\/(-10)?\nAnswer: 495","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(144)\/(sqrt(36) - sqrt(9)) - (sqrt(112) - (-1*sqrt(112) - sqrt(112)))\/sqrt(7))\/(sqrt(32) + sqrt(288)*2).\nAnswer: -sqrt(2)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lt when two letters picked without replacement from ltjtytjtyttytty.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4360500 and 51?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5275 - -5276. Sort 1.9, y, 4, -0.03 in ascending order.\nAnswer: -0.03, y, 1.9, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = 3*i + m, 5*m - 4 = 2*i + 1. Put i, 3, -6, -4 in ascending order.\nAnswer: -6, -4, 3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 49, 167, 481, 1087, 2081?\n\"Answer: 16*q**3 + 2*q**2 + 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 50\/(-10)*(1 - 0). Let w(o) = 7*o + 8. Let t(f) = 8*f + 8. Let d(b) = 4*t(b) - 5*w(b). Let y(x) = 2*x - 4 - 4*x - 1. Determine m*d(c) + 8*y(c).\nAnswer: -c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -994 * -1\nAnswer: 994","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11891 is divided by 2566?\nAnswer: 1627","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Let k(i) be the first derivative of 1\/2*i**2 - 5 - 5*i. Determine k(5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2 (b) -2\/25 (c) -0.5 (d) 5 (e) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = -6 + 46. Is u even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.2*60\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xxhw when four letters picked without replacement from {x: 2, j: 4, q: 5, w: 2, r: 1, h: 1}.\nAnswer: 1\/8190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 2, o: 1, v: 1, i: 1, f: 2, l: 1}. Give prob of picking 1 o, 1 l, 1 r, and 1 i.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 70 - 50. Let i = -26 - -30. Suppose -2*z + 24 = i*z. What is the least common multiple of z and m?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -225571274\/665 - -339205. What is the common denominator of a and -18\/95?\nAnswer: 665","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -o. Let x(j) = 2 + 10*j + j - 16*j - 1. Suppose -t = -0*t - 1. Let s(d) = 6*d + 72. Let b be s(-13). Determine b*i(l) + t*x(l).\nAnswer: l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 370431*b*u**2 - 37*b*u - 6110848*b with respect to u.\nAnswer: 740862*b*u - 37*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-1244)\/(-264) - (-6)\/(-9) and -29\/16.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 164256 a multiple of 58?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 36318240 and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 58527778 is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -2*v. Let y(j) = 3*j - 729. Calculate y(g(n)).\nAnswer: -6*n - 729","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -z**2 - 12*z + 67. Let p be i(-16). Suppose -2*f - 2*f + 18 = -5*t, 14 = 2*f - 5*t. Suppose 0 = f*s - p*s + 15. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 2*q**2 - 285*q + 861. Let d be x(3). Solve 44*j - 3*w = 42*j - 5, d = -5*j - 4*w for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 67\/5 of a tonne?\nAnswer: 13400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put together -1.54 and -1613.\nAnswer: -1614.54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 667 minutes after 3:04 PM?\nAnswer: 2:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 2487027 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1830870)\/(-34) - (18\/24)\/(867\/136) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 19\/42 and 157\/42.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*t - 3*c + 4, 0 = -2*c + 3*c + 4 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4.048 - 0.048. What is the biggest value in -1\/4, 2\/7, k, -4?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 3*g + 4 - 2 = 0, 10 = 3*d + 5*g. Let i = 3188 - 3184. Sort d, i, 3 in increasing order.\nAnswer: 3, i, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y**1)\/y*y\/(y**(-4)\/y))**(-1\/3) assuming y is positive.\nAnswer: y**(-7\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*n**2 + 2*n**3 + 0*n**2 + (0 + 0 + 2*n)*(48 - 31*n**2 - 48) + 2*n**3 - 2*n + 3*n**3 - 4*n**3.\nAnswer: -59*n**3 - 2*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o\/o**4)\/o*o**(-1\/7))\/(o*o**(-1)\/o)**37)\/((o\/(o*o*o*o**(3\/8)))\/(o\/o**(-5)))**46 assuming o is positive.\nAnswer: o**(11707\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) -0.3 (b) 0.2089 (c) 1\/4 (d) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-5)\/(-5))\/(2 + 40\/(-16)) - 25?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 85*m - 7054. Let b be d(83). Let f(c) = 16*c - 17. Give f(b).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) be the second derivative of -2*y**2 + 2*y + 0 + 0*y**3 - 1\/6*y**4. What is the derivative of o(j) wrt j?\nAnswer: -4*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 14*l - 11*l + 9534 = 0, -4*o = -l - 9530. Is o a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*l**3\/7 - 40*l**2\/7 - 136*l\/7 - 128\/7.\nAnswer: -2*(l + 2)**2*(l + 16)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = s**3 - 9*s**2 - 11*s + 10. Calculate z(10).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = d**2 - 2*d - 11. Let t be (2 + 15\/(-6))\/(((-91)\/26)\/(-7)). Let u(n) = -n. Calculate t*c(j) + 4*u(j).\nAnswer: -j**2 - 2*j + 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1085 and 40705?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 156854.\nAnswer: 2, 78427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 2, k: 1, i: 3, n: 1}. What is prob of picking 1 w and 1 k?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a day in minutes?\nAnswer: 432","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -9, 5\/14, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(171)*-3 - (-6*sqrt(171)*2)\/sqrt(9))**2*-4.\nAnswer: -688 + 24*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2450 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 70678917 divided by -212249\nAnswer: -333","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 5 + 5516?\nAnswer: 5523","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3224 and 50048.\nAnswer: 20169344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 110 + -107. Let k(l) be the first derivative of -1\/6*l**v - 4 + 3\/2*l + 1\/2*l**2. Factor k(u).\nAnswer: -(u - 3)*(u + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - 4*k + 44 = 0, -d + 5*d - 5*k + 14 = 0. Solve 5*p + 2*s = 6*p + 9, 2*s - 24 = d*p for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = v**3 + 11*v**2 + 10*v + 9. Give t(-10).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 914730075 a multiple of 1281?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -d**3 - 8*d**2 + 6*d - 6. Let a = -2 - -2. Let i = -6 + a. Let h(w) = -2*w**3 - 17*w**2 + 13*w - 13. Determine i*h(x) + 13*q(x).\nAnswer: -x**3 - 2*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((0*b + 0*b + 2*b)*(-4 + 7 + 1) - 10 + b + 10)*(-b - 2 + 2) to the form x*b + y*b**2 + d and give y.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -21 - -34. Suppose v = 2*r - 4*r + t, -5*v = -5*r + 10. Solve 0 = -j + 3*j - 4*i - 2, -5*i = -r*j - 10 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 43928, 87858, 131788, 175718, 219648?\n\"Answer: 43930*k - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 59 + 82 - 141 + 297*z.\nAnswer: 297*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 + (1 - 7940\/(-4)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(2*sqrt(2057)*3 + (sqrt(2057) - (3*(sqrt(2057) + sqrt(2057) + -1) + sqrt(2057))) + 5)*5)**2 + 4.\nAnswer: 1604","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 463*t - 454*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 564, -13369, -2 in decreasing order.\nAnswer: 564, -2, -13369","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-824)\/(((-1800)\/5)\/(-45)).\nAnswer: -103","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6048 - 6043.138. Let l = -0.138 - h. Put -3, -0.03, 0, l in ascending order.\nAnswer: l, -3, -0.03, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 53*t - 756 = 44*t. What is t rounded to the nearest ten?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 3, 5, 4, -5 in descending order.\nAnswer: 5, 4, 3, 2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 15*a**2. Suppose 2*c + 2 = 6*c + b, 0 = 4*c + 4*b + 4. Let z be f(c). Calculate the greatest common factor of z and 120.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (57*s - 25*s + 9*s)*(0*s**3 - 2*s**3 + 0*s**3).\nAnswer: -82*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/5 - (-227)\/5. Let k be (-4 - -1) + j\/3. Solve -5*p = -2*p + k for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x when two letters picked without replacement from mxmcxoos?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 340 = -0. Suppose -2*i - f = -4*w, 5*w + 4*i - 38 = 60. Suppose -28 = -5*k + 122. What is the greatest common divisor of w and k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 347518 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: Find the second derivative of -10*q**2 - 411*q**5 + 84*q - 201*q + 1 + 10*q**2 + 93*q wrt q.\nAnswer: -8220*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1076 and 4837696.\nAnswer: 4837696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 35 and 12019.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4392 and 36600.\nAnswer: 109800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 37 from -15.3.\nAnswer: -52.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 83*s**2 + s. Let v be a(2). Let t = -321 + v. Suppose 0 = -4*c + c + 312. What is the highest common factor of t and c?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -h + 3. Calculate the remainder when 7 is divided by i(0).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39 - 87 = 21*i for i.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/((-24)\/18))\/(68\/153 - (-452)\/(-1260))\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1\/3 - 1\/6. Let d be ((1 + 3)\/(-4))\/(-2 + 0). Let u(h) = 2*h**3 - h**2 - 2*h - 1. Let l be u(-1). What is the nearest to l in d, 2\/13, k?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -69780 divided by -6\nAnswer: 11630","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (((-1080)\/14)\/(-27))\/((-517)\/329 + 0\/2)\nAnswer: -20\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21226\/7 equal to 3031?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1601295 is divided by 32.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 149 is divided by 14?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = -3*b + 20, -2*w + 4*w + b = 7. Let n(z) be the third derivative of -7*z**6\/60 + z**5\/60 + 17*z**2 + 15. What is n(w)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4512f (base 16) to base 12.\nAnswer: 117893","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = p - 6. Let w be x(9). Let i = -228.3 + 228. Which is the second biggest value? (a) w (b) -5 (c) i (d) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1 (b) 1 (c) 2 (d) 7 (e) 39.501\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -34685.08348 rounded to the nearest one thousand?\nAnswer: -35000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l = -4*s - 191 + 175, 0 = -2*l - 2*s - 8 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 39 + (-271 - -101) - (4 + -19)\nAnswer: -116","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4106*f - 4104*f = -2. Which is greater: f or 1\/81?\nAnswer: 1\/81","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 2*o - 1. Let b be n(1). Suppose 9 = 2*s - 1. Sort s, 0, b in decreasing order.\nAnswer: s, b, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 0 - (-1 + (-82)\/2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4\/1 + (81 - 18)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k when two letters picked without replacement from {t: 5, k: 8}?\nAnswer: 14\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -111011001 (base 2) to base 7.\nAnswer: -1244","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -m**3 + 4*m**2 - 4*m + 1. Let j be l(4). Let t = -11 - j. Suppose -t*f = 5*r - 2*r - 91, 2*f - 47 = -r. Does 14 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 256856 a multiple of 157?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 4*w - 143. Let f be i(37). Solve -f*n - 27 = -2*t, -5*t - n + 5*n + 25 = 0 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -351.6293 times -3?\nAnswer: 1054.8879","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -676 + 678 = 2*i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 18 (b) 1 (c) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 27652987 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (60\/132)\/(3\/33).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -37\/246480 and 29\/36.\nAnswer: 739440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u**4 - 1578*u**3 - 204315*u**2 + 842700*u = 0.\nAnswer: -265, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 112202220 - -100121?\nAnswer: 120010111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -30*k**3 - 4*k**2 + k + 250825?\nAnswer: -90*k**2 - 8*k + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 277, 563, 861, 1171, 1493?\n\"Answer: 6*k**2 + 268*k + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-4*sqrt(1029) - sqrt(1029))*1)\/((-1*sqrt(576))\/sqrt(12)))**2.\nAnswer: 8575\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2\/16 - 41986\/(-112).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6 + -3. Let g(l) = -l**2 + r*l**2 - 3*l**2. Let h(w) = 7*w. Calculate g(h(b)).\nAnswer: -49*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 172 is divided by 37?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38*w = -2591 + 39299. Let o = -964 + w. Let j = 0.4 + 0.1. Which is the third smallest value? (a) j (b) 3 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1638 + -1743313210?\nAnswer: -1743314848","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 756600 and 21461250?\nAnswer: 1115985000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (1 - 2) + 30 + -25\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -n - 1. Let x(d) be the second derivative of 5*d**3\/6 + 2*d**2 - 7*d. Let q be 4\/(-3) + 1\/3. What is q*x(t) - 3*z(t)?\nAnswer: -2*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 67475.43 less than 1518?\nAnswer: -65957.43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f = -2*z - 10, 170*z + 7*f + 5 = 167*z for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6854808 divided by 3.\nAnswer: 2284936","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-24)\/(-8)*2\/(-21).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (11 + -11)*(-2)\/(-4). Let l(s) = -2*s**2 + 2*s + 24. What is the remainder when 68 is divided by l(o)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + ((sqrt(891) + -2)**2 + 0 - -1*(-2 + sqrt(891) + sqrt(891))) + 2.\nAnswer: -18*sqrt(11) + 893","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 3*0.071\nAnswer: 0.213","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -44, -1, -5, -2.\nAnswer: -44, -5, -2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 1, k: 1, m: 1, x: 8, a: 3, r: 2}. What is prob of sequence mraa?\nAnswer: 1\/3640","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(1\/2)*j*j\/(j**(-4)\/j)*j*(j\/(j\/(j*j**(-5\/7))))\/(j\/j**(-1)) assuming j is positive.\nAnswer: j**(95\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -s**3 + 8*s**2 - 6*s + 5. Let j = -7 + 10. Calculate the remainder when c(j) is divided by 18.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 2*r**2 + 5*r + 0*r**2 + 5*r - 13. Is w(-9) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -143\/301380 and 121\/24.\nAnswer: 602760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -9*w**5 - 157054*w**2 + 4*w - 191953.\nAnswer: -180*w**3 - 314108","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -286935, -573872, -860809, -1147746?\nAnswer: -1434683","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 n and 1 f when four letters picked without replacement from {f: 1, g: 8, n: 6}?\nAnswer: 4\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1)\/(-3) + (-34)\/(-6). Let s(i) = i**2 + 14*i + 10. Let a be s(-14). Solve -4*z = p + a for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = 2*y + 734, 2*y = -3*t + 4*y + 551. Let p = -109 + t. Is 8 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 21 + -35. Let v = i + 8. Is 80 + (-3)\/(-3 - v) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16964903 is divided by 8482444.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 1 + 11 = 0. Suppose -3*a + 0*a = -11*c + 10*c, -4*a + 4 = 0. Solve 3*f = c*g - 2*g + 7, -g - 1 = k*f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 86*y**2 + y**4 + 34*y**3 - 4086*y - 12*y**3 - 11*y**3 + 4*y**3 - 8*y**3 wrt y.\nAnswer: 12*y**2 + 42*y + 172","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 162*a**4 + 257*a?\nAnswer: 1944*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 11 = -g - g, -2*g - 9 = 3*s. Let f be g\/(-2 + 35\/14). Is f at least 11\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-7*n + 4 - 4)*(3 - 4 + 2)*(-3*n + n - 8*n) as b*n + o + x*n**2 and give x.\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -c**3 + 3*c**2 + 5*c - 4. Suppose 0 = -a + 5*s - 21, 0*a + 4*s - 16 = a. Let d be p(a). Suppose -5*i + i + 1172 = d. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(22) - sqrt(352))*5)\/(sqrt(12)\/(sqrt(6)*-1)) - (-2 + sqrt(121)\/(sqrt(11) + sqrt(11) + (sqrt(99) + sqrt(11))*-4))*2.\nAnswer: 4 + 106*sqrt(11)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(130)*3)\/((sqrt(10) + (sqrt(10) - sqrt(10)*-1))*3).\nAnswer: sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -462 + 464 - 1767*u**2 + 2961*u**2.\nAnswer: 1194*u**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4403 = -313*x + 3081 - 3373 for x.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3377 - -213. What is the tens digit of c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*h - 12*h + 14*h - 32 = 0 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4\/23 in -0.5, 0.1, -5, -3, 5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -40003 - 141?\nAnswer: -40144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0011803737886 rounded to six dps?\nAnswer: 0.00118","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 4 + 384*u - 382*u + 24. Let p be c(-11). Solve p*o + 4 = 2*o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2220 greater than -924?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*i - 5*z + 11 - 1, -3*i = -5*z + 40. Let j = -2 - -5. What is the closest to -1\/3 in -7, i, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-10)\/(-4) + (-1)\/(-2). Suppose 3*a - 240 = n*x, -a + 3*x + 316 = 3*a. Suppose a = -0*j + 4*j. Calculate the remainder when j is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10\/(-45) - 2345\/3015?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3 - -5. Let k = -11 + 2. Let a = 5 + k. Put y, 1, a in descending order.\nAnswer: y, 1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1361 is divided by 171?\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2\/10 + (-178)\/(-10). Suppose 0 = d + 568 - 561. Let l(z) = z**2 - 3*z - 52. Let y be l(d). Calculate the greatest common divisor of y and q.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 54984, 110061, 165138?\nAnswer: 220215","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 9461 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1 + 2)*(-28)\/(-8). Let h = q - 3. Put -2\/11, -2, h, 5 in decreasing order.\nAnswer: 5, h, -2\/11, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1930*j**3 + 5566*j**3 - 1129*j**3 + 1 in the form s*j + y*j**3 + t*j**2 + f and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8165, 16360, 24555, 32750, 40945, 49140?\nAnswer: 57335","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2\/(-4) + (-2)\/(-4). Let q = -5 + 13. Suppose t - q = -t. Solve 3*m - 2*l - 22 = 0, -t*m + 36 = -b*m - 4*l for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 75670 to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 113871303.\nAnswer: 3, 7, 13, 257, 541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -18*k**2 - k - 2*k**3 + 240*k**2 + 3 - k**3 + 29*k**2 + 78*k**2 as l + z*k**2 + b*k**3 + n*k and give b.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 94990 divided by 805\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23647641.\nAnswer: 3, 149, 52903","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -30 + 45. What is the highest common factor of l and 45?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = p**3 - 9*p**2 + 2. Let z be x(9). Let i(r) = r + 3*r + 8*r**2 + 2*r**z - 4 - 2*r. Let h be i(-3). What is the greatest common divisor of 16 and h?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -101265 (base 7) to base 9\nAnswer: -25646","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 192\/19, 3, 0 in descending order.\nAnswer: 192\/19, 3, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 2244560838 to the power of 1\/2, to the nearest integer?\nAnswer: 47377","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 0.3 (b) 5 (c) -0.3 (d) 111\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 22, 45, 68, 91?\nAnswer: 114","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) be the first derivative of 0*q**2 - 1\/18*q**6 + 0*q - 1 + 1\/12*q**4 - 1\/15*q**5 + 1\/9*q**3. Suppose o(w) = 0. Calculate w.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 77 divide 1232?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -38397637 * -0.5\nAnswer: 19198818.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 53 + -261\/5. Let z = 0.4 + -2.4. Which is the smallest value? (a) -1\/4 (b) z (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 10635*j - 93394 with respect to j.\nAnswer: 10635","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) be the third derivative of -a**6\/120 + 2*a**5\/15 - a**4\/12 + 5*a**3\/3 - 26*a**2. Determine x(8).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 519853?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -7 - -23. Suppose -21*w = -y*w. Suppose w = 2*i + 4*t - 5*t - 31, 5*i = -2*t + 82. What is the tens digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.80468635 plus -1?\nAnswer: -1.80468635","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 6007167599 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*a - 12 = 2*a. Suppose 0 = -3*s - 12, 2*s + 16 = -2*q - a*s. Solve -13 = -q*k - 3 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.5, 0.19, 0, 0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*c - h - 2*h + 393681, c = -2*h + 131229. Suppose 4*z - 5*a = c, -a - 4*a - 25 = 0. Round z to the nearest 10000.\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 12, e: 3}. Give prob of sequence eeec.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -12 - 5*c - 14*c + 66 + 10*c. What is the least common multiple of q(5) and 45?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - (10 - 0 - 4).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -7*z**2 - 36. Let n(h) = 9*h. Determine n(c(o)).\nAnswer: -63*o**2 - 324","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 2*p**2 - 5*p - 3. Let s be y(3). Let j(q) = 2*q - 9. Let u be j(7). Solve s*i + 3 = u*c - i, 0 = -3*c - 5*i + 13 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -127.44124 rounded to zero decimal places?\nAnswer: -127","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -2*w**3 - 499*w**2 - 12610*w - 2889. Determine i(-221).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3855 to the power of 1\/6, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 12998069009 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -576937, -2307724, -5192363, -9230854, -14423197, -20769392?\nAnswer: -28269439","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.25 + -0.55. Is g less than or equal to -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 39 - 156 + 56 + 61 + u.\nAnswer: u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 183, 32578, 3 in decreasing order.\nAnswer: 32578, 183, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -4 - -4 - (0 - 1). Let d = 4 - n. Suppose -3*l - d*t = -t - 38, -5*l + 75 = t. What is the remainder when 30 is divided by l?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (7\/21)\/((-1)\/(-12))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - 3*g = 16, 5*l = 3*g - 4 - 16. Put 5, l, -64 in decreasing order.\nAnswer: 5, l, -64","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence puy when three letters picked without replacement from {a: 2, u: 1, y: 5, p: 1, b: 1}?\nAnswer: 1\/144","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 99875 and 28900?\nAnswer: 6791500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-4\/3)\/(i\/i**6))\/(i**5*i*i**(-2\/3)*i*i))**(2\/11) assuming i is positive.\nAnswer: i**(-2\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*d**3 - 2*d**3 - 2*d**3 - d**3 + 7*d**3 - 3*d**3 + (1 + 1 + 0)*(-7 + 7 - 7*d**3) + 0*d**3 + 0*d**3 + 3*d**3.\nAnswer: -9*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -579 + 3*o**2 + 1167 - 588. Let y(a) = 1289*a**2 - 2*a. Calculate y(w(d)).\nAnswer: 11601*d**4 - 6*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7\/(7\/6))\/(19620\/2616*2\/(-20)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-173 - (-156 - 21)) + (-3 - -1) + 64?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 864 divided by 36?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2\/9 - -17\/36. Let t = 39 - 38.5. Let g be (10\/(-60))\/(2\/9). Which is the second smallest value? (a) t (b) q (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 645 and 4734.\nAnswer: 1017810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -15*a**2 - a**3 + 6 - 7*a - a**2 + 25*a**2. List the prime factors of k(7).\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bhhhhhhhbhh. What is prob of picking 2 h?\nAnswer: 36\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-81)\/297 - (-1161)\/(-99).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1 - -15052?\nAnswer: 15051","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 19 - 16. Suppose 4*m - m = -4*i + 7, -h*m + i = -2. Suppose 4*u - 11 = 5*n, m = 5*u - 4*n - 15. Is u a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by -19905555.\nAnswer: -1\/3981111","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 134 and 38123.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qq when two letters picked without replacement from lqlqlqqlqqlqllqqqnll?\nAnswer: 9\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 789*o**2 - 38679*o + 882.\nAnswer: 3*(o - 49)*(263*o - 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*v**2 - 12655924*v - 41131584 = 0 for v.\nAnswer: -790992, -13\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -766509, -766511, -766513?\n\"Answer: -2*y - 766507","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) be the third derivative of 0*c**4 + 0 - 1\/30*c**5 + 1\/6*c**3 + 1\/40*c**6 - 2*c**2 + 0*c. List the prime factors of s(1).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.0085 - 35279819466\nAnswer: -35279819465.9915","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(-9)\/n*(n*n**9)\/n*((n\/n**(1\/3))\/n)**(-18) assuming n is positive.\nAnswer: n**5","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 3, 3\/5, 4, -1\/6 in decreasing order.\nAnswer: 4, 3, 2, 3\/5, -1\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -459, -877, -1259, -1605, -1915, -2189, -2427?\n\"Answer: 18*c**2 - 472*c - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) be the first derivative of z**4\/4 + z**3 - z**2 + 2*z - 7. Give c(-3).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = w**2 + 12*w - 20. Let s be d(-14). Suppose 3*n - s + 2 = 0. Suppose n*b - 154 = -0*b. Does 12 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -296 - -445. List the prime factors of s.\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (30\/35)\/(1312\/224)?\nAnswer: 6\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -89302, -178620, -267938, -357256, -446574?\nAnswer: -535892","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 6 - 17697?\nAnswer: -17691","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:47 AM and 8:38 AM?\nAnswer: 171","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -53171605 (base 8) to base 3.\nAnswer: -210022212001112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -4*t**2 + 178*t + 60. Let w be m(44). Suppose -2*b = -3*s - w, 0 = -2*b + 8*s - 12*s + 162. List the prime factors of b.\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -7641 and -1.9328.\nAnswer: 14768.5248","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -3.2 (b) 0 (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) be the third derivative of -391*q**4\/3 + 1855*q**3\/6 - 588*q**2. Differentiate y(g) with respect to g.\nAnswer: -3128","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -o**3 - o**2 + 3*o - 4. Let c be q(-4). Suppose 4*b - c = 4*j, 24 = 5*b + j - 2*j. Calculate the smallest common multiple of b and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/(f\/((f*f**(7\/5)*f)\/f)*f)*f**(1\/5))\/((f*f**(-8)\/f)\/(f\/(f*(f\/(f*f**(-1\/2)\/f))\/f*f))) assuming f is positive.\nAnswer: f**(81\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5787 - -5808. Calculate the remainder when 921 is divided by i.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-23*s + 48*s - 14*s)*(0 + 0 - 2*s) - s**2 + 2*s**2 + s**2 + (-s + 3*s - 6*s)*(-2*s + 12 - 12) as t + n*s + a*s**2 and give a.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 409*r - 2076 = -110*r. Solve 0 = -3*q - r*x - 6, 58*x - 8 = 4*q + 55*x for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -213\/44 or -5?\nAnswer: -213\/44","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - 6 = -0*g, 2*g = -4*f - 8. Let w(s) = -7*s + 1. Let l be w(f). What is the greatest common factor of l and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 39076332 to the power of 1\/2, to the nearest integer?\nAnswer: 6251","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -409, -394, -367, -328, -277, -214?\n\"Answer: 6*i**2 - 3*i - 412","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 185*h - 63*h - 59*h - 61*h.\nAnswer: 2*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1\/(-2)*2*0. Let z be (k - 360\/(-3))*8\/(-12). Let g = 16 - z. What is the greatest common factor of g and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 165 minutes after 11:38 PM?\nAnswer: 2:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-3))\/((12\/54)\/(-2)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 58350688 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*k + 4 - 4)*(0*k**4 - k**4 - 3*k**4) + (0 - k**2 + 0)*(-k**3 - 3 + 3).\nAnswer: -7*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 8505 and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 11500683?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 169*w**2 + 29*w - 55. Calculate m(2).\nAnswer: 679","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1*5\/(-5) - -19. Let v(k) = -k**2 + 16*k + 33. Let h be v(u). Is h greater than or equal to -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three eighths of a litre?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 5*n = 0, -4*m + 9*m = n - 28. Find the common denominator of (m - -2) + (-21)\/24 and -49.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2 (b) -48 (c) -3\/5 (d) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 190*u**3 + 405*u**2 - 2215*u + 1565. Let t(d) = 7*d**3 + 15*d**2 - 82*d + 58. Let a(k) = -55*t(k) + 2*w(k). Factor a(p).\nAnswer: -5*(p - 2)*(p - 1)*(p + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -76782\/73 - -3234721\/2190. Let m = -1240\/3 + q. Find the common denominator of m and 1\/10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 22 + -18. Suppose -482 = -n*f - 42. Suppose 0 = -13*p + 8*p + f. What is the greatest common factor of 2 and p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14114 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*c**3 + 15534*c**2 - 3601180*c + 21048288 = 0. Calculate c.\nAnswer: 6, 233, 7528","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 799, 1956, 3547, 5578, 8055, 10984, 14371?\nAnswer: 18222","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -392888, -785755, -1178622, -1571489?\nAnswer: -1964356","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/5 of a litre in millilitres?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-2)\/(-6885))\/(28\/(-20)). Let t = a + -61961\/19278. Find the common denominator of 75\/8 and t.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2 + 31. Suppose -2*s + 5*t = -0*t - h, -3*s + 86 = t. Calculate the remainder when s is divided by 18.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) be the second derivative of -5*i**5\/14 - 5*i**4\/6 - 11*i**3\/21 - i**2\/7 + 5*i. Suppose q(r) = 0. What is r?\nAnswer: -1, -1\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -126.17 rounded to the nearest 10?\nAnswer: -130","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 9, -2, -0.5, 146, 23?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -177409.024 to the nearest one hundred.\nAnswer: -177400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4\/5? (a) -0.3 (b) -0.2 (c) 0.3 (d) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -275895 divided by 11.\nAnswer: -275895\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 4*i**2 - 6*i**2 - i + i + 3*i**2. Let t(d) = -d**2 - 180. Give v(t(r)).\nAnswer: r**4 + 360*r**2 + 32400","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange x - x + x - 17 + 17 + 2*x + (-5*x + 2*x + 2*x)*(-2 + 1 - 1) - x + 5*x - 3*x to g + n*x and give n.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19472325.\nAnswer: 3, 5, 259631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 14*b + 2 = -16*b, -5 = -b. Let a = -845\/2 - -239. Let k = -188 - a. Is j < k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 130120 + 1102?\nAnswer: 131222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*m**2 + m.\nAnswer: -m*(2*m - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1 - 0)\/(-3*7\/63). Let o be (6 + (510\/(-18))\/5)\/((-25)\/(-45)). Solve -o*r - 3\/5*r**2 + 3\/5 + 3\/5*r**w = 0 for r.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 5*l = 4245, 4*l - 5*l + 1698 = 2*i. What is the tens digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 9 + -6 + 2*(-69)\/54 and 73\/3?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -j + 8. Let o be s(8). Sort 4, o, -2, -5 in increasing order.\nAnswer: -5, -2, o, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6 + 42\/4 - 2)\/(52\/(-104))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -t + 4 - 2. Let o = 10 + -10. Let r = 0 - o. Solve 0 = -t*s - r*s - 4 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.5 + 142931371072.\nAnswer: 142931371072.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -128*x. Let t(g) = g**2 - 23*g. Calculate t(c(a)).\nAnswer: 16384*a**2 + 2944*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 7*n + 4*n - 8*n - 3*n + 6*n. Let z(k) = 21*k. What is c(z(t))?\nAnswer: 126*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -46233454.000062 + 46233400. Let p = -52 - -106. Let m = o + p. What is m rounded to 5 dps?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = q + 8 + 244. Let u be -7 - (-25)\/5 - q. Round u to the nearest one hundred.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6833.1 - 6833. Which is the nearest to z? (a) 214 (b) 2 (c) 0.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.0004*0.2.\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (11 - (13 - 10)) + -13.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-4 + 2 - 1)*(-u + 5*u - 2*u) + u + u - u)*(0*u + 2*u - 3*u).\nAnswer: 5*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*c + 898 - 889 = 0 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5570\/15 - ((-11)\/3 + 4).\nAnswer: 7, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 42706405, 42706404, 42706403?\nAnswer: 42706402","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 995756?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.002795733 to 6 dps.\nAnswer: 0.002796","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-11)\/42 + -21*23\/(-2898)?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:18 AM and 7:22 PM?\nAnswer: 664","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -l**2 + 8*l - 4. Let n(v) = -v**3 - v**2 + 5*v + 4. Let o be n(-3). Give b(o).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 759 divide 308921539?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6 + 10. Suppose r = -i*r. Suppose 11*v - 10*v - 5 = 0. Solve 4*l - 20 = -l + v*x, -2*l - 5*x - 27 = r for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2000763 to the nearest integer?\nAnswer: 126","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2124297 and 147.\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 4*l = 12, 0 = 4*f - l + 23 - 20. Solve 3*k + 5 - 2 = -2*p, f = -3*p - 3*k for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/32 of a gram in micrograms?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 1, d: 5, s: 3, j: 6}. Give prob of sequence jnj.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -5 - 6*j - 12*j**2 + 13*j**2 + 2*j - 2*j**2. Let i(a) = -2*a**2 - 5*a - 6. Determine -4*d(c) + 3*i(c).\nAnswer: -2*c**2 + c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2560\/(-160)*(-60)\/64*2.\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-38)\/8 - 1\/4. Let u = -0.044 + -3.056. Let h = -3 - u. What is the closest to h in i, 2, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 387*z = 90*z - 9504 for z.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 4*m = 0. Suppose 3*d + 3*a - 2343 = -m*d, 5*d - 5*a = 3945. Suppose 189 = -4*f + d. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in one fifteenth of a hour?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 23072?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1 + 1)\/(12\/3). Let t(k) be the first derivative of h*k + 2\/3*k**3 + 1\/2*k**2 - 1. Find the second derivative of t(v) wrt v.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (350\/60)\/(-7)*(-9)\/10.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) be the second derivative of 5*g**3\/6 + 133*g. Let i(y) = 18*y. Calculate i(f(d)).\nAnswer: 90*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*r = -27 - 12. Let k(a) = -10*a + 3. What is k(r)?\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = -0*a - 32. Let r = 10 + a. Suppose r*l = 23*l + 9237. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 110 minutes after 2:58 PM?\nAnswer: 4:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that -2*z**3\/3 + 8*z**2\/3 + 32*z\/3 - 128\/3 = 0.\nAnswer: -4, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*t = 15*t - 0*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwwwqwwwwqwww. Give prob of sequence qw.\nAnswer: 11\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1973 and 1455.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (533\/(-1599))\/(5\/(-2)).\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1\/2 - -1\/6. Let y = -1 - 0. Let z = -1 - -1. Which is the closest to n? (a) y (b) 0.2 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 70 + -67. Let j(d) = -d**2 + 19*d + 10. Let l be j(20). Let r(y) = -2*y - 14. Let p be r(l). Solve -3*a + z + 16 = 0, -3*a - q*z + 6 + p = 0 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 26*i**6 - i**2 - 1604*i**4 + 1604*i**4 wrt i?\nAnswer: 3120*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, 4\/9, -9 in increasing order.\nAnswer: -9, 4\/9, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 4*h - 31 = 0, -2*h - 2 = -0. Suppose -r = -2*g - p + 1, -3*g = -p - 17. Solve -4*m = g*x + 5 + 1, m + 2*x = 0 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/199, 140636, -2\/11 in increasing order.\nAnswer: -2\/11, -2\/199, 140636","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 145*a - 251*a - 427*a + 4264 for a.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 16743224 (base 8) in base 2?\nAnswer: 1110111100011010010100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -5*w**3 - 37*w**2 - 13*w + 41. Let g(q) = -q**3 - 9*q**2 - 3*q + 10. Let h(u) = 9*g(u) - 2*s(u). Let n = 6 + 1. What is the units digit of h(n)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -93\/4 - -23. Let l = -1 + 2. Let k be ((-2)\/12)\/((-7)\/56). Which is the biggest value? (a) d (b) l (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1245.10935 + 1369.1092464. Let q = p - 124. What is q rounded to 5 decimal places?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*f**3 - 75*f**2 + 17*f**3 + 239*f**2 + 119*f**2 - 22*f**2.\nAnswer: 22*f**3 + 261*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1000 - 11100111?\nAnswer: -11011111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(1\/2))**(-16)*((j\/j**(-1\/3))\/j)**(-28)*((j\/(((j*j**(-2\/11)*j)\/j)\/j*j))\/(j**5*j))\/(j\/((j**(-1)*j)\/j))**32 assuming j is positive.\nAnswer: j**(-2876\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (-418 + 43 + 78)*(-5 + 5 - 4*v)*((-2 + 1 + 0)*(-3 + 4 - 2) - 3 + 3 - 2) as q + k*v and give k.\nAnswer: -1188","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 107107?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -43*(81\/21 - 4) and 35.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-17)\/2*(11 - -11). Let n = 490 + b. Does 22 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 2*v = -14, -u - 4*v - 19 = -2*u. Suppose 2\/7*o**2 - 2\/7*o**4 - 2\/7*o + 2\/7*o**u + 0 = 0. What is o?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6, 14, 22?\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/22)\/(-12*3\/95832*2).\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 8 + -1. Let i = l - 17. Let g(n) = -430*n**3. Let d be g(i). Round d to the nearest 100000.\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 12*o + 95 - 35 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (63*j - 5*j + 30*j)*(115 + 57 + 46 + 115) to g + y*j and give y.\nAnswer: 29304","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14 is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -4 - 45*k**2 - 36*k**2 + 14 + 9*k**3 + 92*k**2 + 11*k. Is t(9) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 897 and -1174.9?\nAnswer: -1053885.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -28\/531 and 44\/531.\nAnswer: 531","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/(-5))\/(5\/((-200)\/12))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 91136 and 6755456?\nAnswer: 54043648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -566*r**2 + 221*r**2 - 2 + 2 + 156*r**2 + 58*r**2.\nAnswer: -131*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 73043 is divided by 338?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = n**3 + 3*n**2 + 3. Let b be q(-3). Let i(d) = -d**2 + 3*d + 3. Is i(b) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 12*b + 2248. What is the thousands digit of t(0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 384608645*l**4 - 214854639*l**2.\nAnswer: 9230607480*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 63906157?\nAnswer: 7, 2861, 3191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1255 + 335. Let z = w + 1304. Suppose -3*m + z = 153. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3511 to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*x + 20 = -12*x for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0617039 to two dps.\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -103231 (base 4) to base 9\nAnswer: -1651","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -3*q**2 + 3*q + 9. Give r(4).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 37*h - 28. Let k = 681\/65725 - 4\/275. Let c = -489\/2629 - k. Is h greater than or equal to c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 6, -477.8, 1056\/5?\nAnswer: -477.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 87 = -3*a, w + 1 = a - 28. Suppose 0*d = -4*d + 3*f + 181, -4*f = -d + a. Suppose -5*c + d = -91. Is 14 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 3*s**2 - 5*s + 3. Let u(h) = -17*h - 5*h + 6*h + 10*h**2 + 6 + 6 - 2. Determine 16*k(f) - 5*u(f).\nAnswer: -2*f**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 19\/8480 and 61\/2351080.\nAnswer: 9404320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -31553, -31587, -31641, -31715, -31809?\nAnswer: -31923","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 91, 92, 89, 82, 71, 56, 37?\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(20) - sqrt(720))\/sqrt(10) - sqrt(2))*-2)**2 - sqrt(24)\/(sqrt(132)\/(sqrt(33)\/sqrt(3)) - sqrt(12) - sqrt(12))) + 0.\nAnswer: sqrt(2) + 288","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 11853720997 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -11 - -27. Suppose -13*b = -u*b + 168. List the prime factors of b.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-38948)\/650 + 51 - 1*-9?\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 135 and 55485?\nAnswer: 55485","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1453 = -z - 1431. Calculate the remainder when 305 is divided by z.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 9897840 and 16083990?\nAnswer: 128671920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4\/(-18) + 83\/(-72). Suppose 4*i = 3810 - 3818. Which is smaller: q or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000022347 to 5 decimal places.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in seven quarters of a centimeter?\nAnswer: 17500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1169 and 17332?\nAnswer: 2894444","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 15.77 - 12.77. Sort i, 1, -1\/86 in descending order.\nAnswer: i, 1, -1\/86","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gksykggg. Give prob of picking 1 k and 1 y.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -46382979 or -46382978?\nAnswer: -46382979","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -48031130 divided by -24015565?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = 78 - 190. Let x be (42\/u)\/((-6)\/(-16)). Let v(c) = 3*c**2 - 2. Is v(x) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 48 and 744.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 48*o - 165. Is t(5) a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 12, g: 2, o: 2, r: 2}. What is prob of picking 1 r, 2 g, and 1 d?\nAnswer: 2\/255","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand o - o - o + (0 - 2 + 0)*(0*o - 5*o + 6*o) + (1 + o - 1)*(-4 + 2 + 1) - 4*o + 4*o + 2*o.\nAnswer: -2*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**0)**4\/(h*h**(2\/3)*h\/(h\/(h*h*(h*h**(-3))\/h)*h))*(h**(-2\/5)*h*h\/h**4*h*h)\/(((((h\/h**1)\/h)\/h)\/h)\/(h*h**(-1)*h)) assuming h is positive.\nAnswer: h**(59\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = -370 - 434. What are the prime factors of t?\nAnswer: 3, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -890, -1778, -2666, -3554, -4442?\nAnswer: -5330","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + h = 3*t - 13, -5*t = -h - 49. Solve -15 = -2*i - 3*y, 3*i - t = -2*y + 1 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 + (-13 - -2) - -2) + 5.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 73*h - 5*h**2 - 26*h + 3*h**2 to o + v*h + z*h**2 and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 812.6 - 814.6. Which is the second smallest value? (a) r (b) 1 (c) 3018 (d) 5 (e) -1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 464 and 15225?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -b + 6*b. What are the prime factors of 27\/6 - (-2)\/b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -41*w**3 - 2*w**2 + 44*w + 16. Let b(l) = -14*l**3 - 2*l**2 + 1. Calculate -3*b(j) + h(j).\nAnswer: j**3 + 4*j**2 + 44*j + 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -40637\/10 + 4064. Which is the fourth biggest value? (a) o (b) 0 (c) 4 (d) 0.1 (e) -2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3 + -4*sqrt(396) + sqrt(396) + 3*2*sqrt(396))*-6)**2.\nAnswer: -3888*sqrt(11) + 128628","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 48072?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = f**2 - 15*f + 6. Let a be z(14). Let s be (a\/6)\/(-2)*12. Suppose t - q = s + 23, -2*q = 8. Is t a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 638312 (base 9) to base 2.\nAnswer: 1011100110010011111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) be the first derivative of -27\/5*p**5 + 0*p**2 + 0*p + 0*p**4 - 3 + 1\/3*p**3. Find the third derivative of a(o) wrt o.\nAnswer: -648*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 390 + -388. Suppose x = -o + 186, -2*x + 114 = -r*o - 258. List the prime factors of x.\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w**(1\/4))**(2\/7)\/(w*w**(5\/4)*w*w*((w*(w\/(w*w\/((w*w*w**(2\/5)*w*w)\/w)))\/w)\/w)\/w*w)*(w**(2\/9)\/w)**(-18)*(w**(-1)\/w)**(-27) assuming w is positive.\nAnswer: w**(8779\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1\/26 (b) -2252 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 76364 and 129370?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 24839 and 1684.\nAnswer: 421","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -27665862 divided by -777\nAnswer: 35606","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/16 - (-207)\/(-72) - -6. Suppose 0*m - v*m = -9090. Round m to the nearest one thousand.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 84\/(-7)*72\/(-96)*1\/21.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((((-6800)\/(-150))\/34)\/((-1)\/6))\/((-2)\/(-4))?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, c: 14, u: 2}. What is prob of picking 1 c and 1 u?\nAnswer: 7\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5891 and 473.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -b - 2*b - 5*j, 3*b + j = 0. Let g(p) = p**2 - p + 5. Let f be g(b). List the prime factors of 3 - 3 - -1*f.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4467 = 223*v - 35687. Calculate the least common multiple of 2765 and v.\nAnswer: 11060","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = -2*m - 2*m for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 327*f**3 - 6*f**2 - 4*f + 5. Let r be p(-5). Round r to the nearest 10000.\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 1.5326 and -3.92?\nAnswer: 5.4526","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide 91105 by 5.\nAnswer: 18221","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/(-18))\/((-8)\/36)*80\/210.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) be the second derivative of i**3\/2 - i**2 + 2*i. Let l(a) = 3*a**2 + 5*a - 1. Calculate the remainder when l(-5) is divided by b(5).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 6\/(-4) + (-3394)\/4. Find the common denominator of 13\/5 and (-2565)\/r + (-2)\/17.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 234 is divided by (364\/(-21) - 15\/(-9))*-3?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 2*i**2 + i + 7. Let u be f(0). Suppose 9*n = u*n + 6. Suppose -m + n = -1. What is the smallest common multiple of m and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4 + 2.2. Let r = -5.3 - z. What is r rounded to the nearest integer?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(80) + sqrt(80) + sqrt(80)*2*6 + sqrt(80))\/(sqrt(60)\/(sqrt(36)\/sqrt(6))))**2.\nAnswer: 1800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 129 - 57. Let h = 32 - g. What is the remainder when 19 is divided by (h\/12)\/(1\/(-3))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n + 32 = -2*m, 4*n - 2*m = 488 - 442 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1\/3 + 130\/(-30). Let f = i - -6. Solve -f*k + k + 1 = 0 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 635491715?\nAnswer: 5, 127098343","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-12)\/16)\/(38\/152)*(-22)\/(-48).\nAnswer: -11\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -684\/6743 >= -4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1475048449 rounded to 1 decimal place?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -19? (a) 4 (b) 7 (c) 81\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 17, 12, 9, 8, 9?\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -71940 to the nearest 10000.\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7*13 - (-2)\/(-1 + -1) is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = z**2 + 5*z. Let t be b(-5). Let g be -4 + -2 + (-192)\/(-33). Which is smaller: t or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 10983850 to the nearest integer?\nAnswer: 3314","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = o**3 - 22*o**2 + 28*o - 60. Does 29 divide m(21)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 6 = -r. Suppose -r*k + 3*q = -33, 5*k - 3 = q + 44. Suppose 0 = 4*x - 2*g - 16, 11 = 5*x + 3*g - k. Solve -i - x = -6 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1431124 (base 7) to base 15\nAnswer: 3c07a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 4324183.99 to the nearest 10000.\nAnswer: 4320000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lrry. What is prob of sequence lry?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5653?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.4 + 16890.\nAnswer: 16890.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 - 14 = 12*v. Let g be (29 + -32)*(v - -9). Sort -3, -0.1, -4\/5, g.\nAnswer: g, -3, -4\/5, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 61874961 to the nearest integer?\nAnswer: 7866","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2768 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 20333\/38130 + 1\/12710. Solve -b + 2\/15*t**3 - 14\/15*t - 4\/15*t**2 = 0 for t.\nAnswer: -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 45220 and 45220.\nAnswer: 45220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:02 PM and 1:31 AM?\nAnswer: 149","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 20349\/14877 - (-1)\/(-29)?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 16 and 284838.\nAnswer: 2278704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (46 - 48) + (5 - 0 - -5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2*125\/10*(-14)\/(-35).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 786618?\nAnswer: 2, 3, 7, 2081","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 4 and 0.052737?\nAnswer: 0.210948","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 307249 is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from usssrsrrkwkkks. What is prob of sequence rs?\nAnswer: 15\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -387997, -775956, -1163863, -1551718, -1939521, -2327272?\n\"Answer: 26*o**2 - 388037*o + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -51 (b) -451 (c) -60 (d) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) be the second derivative of 3*k**3\/2 - 37*k**2\/2 - 116*k + 12. Let g(v) = -13*v + 56. Give 5*g(h) + 7*i(h).\nAnswer: -2*h + 21","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -78362 divided by 4?\nAnswer: -39181\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -299217577*y**3 + 1235895761*y wrt y.\nAnswer: -1795305462*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = h**2 - 11*h + 1. Let q be l(10). Let n = -6 - q. Calculate the remainder when 32 is divided by n\/((-36)\/(-11) - 3).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*c - 12 + 30. Suppose -m - c = -5*m + 3*b, -3*m - 2*b + 11 = 0. Suppose -25 = 5*l + m*f - 158, -21 = -l + 5*f. Is l a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 14*g + 21. Let b(m) = 12*m + 22. Let s(l) = -5*b(l) + 4*d(l). Let h(j) = 3*j + 17. Let w be (10\/8)\/(2\/8). Let y(f) = w*s(f) + 7*h(f). Give y(8).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1755*o**3 + 223*o**3 - 4470*o**2 + 140*o**3 + 4470*o**2.\nAnswer: 2118*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out -44 * 0.3.\nAnswer: -13.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 147 - 147. Solve -2*f - 10 = 0, -10 = -i + f - r*f for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = -j - 7, -6 + 20 = 4*j + 5*d. Put j, -0.4, -3, -0.3 in decreasing order.\nAnswer: j, -0.3, -0.4, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-30 - -16 - -5) + 9\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*sqrt(28) - (-1 + 1 + sqrt(7)))**2.\nAnswer: 847","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*c + 1127985 - 143985. Suppose 0 = -8*a + 9*a - c. Round a to the nearest 100000.\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 125532842861 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2537624, -5075775, -7613914, -10152035, -12690132?\nAnswer: -15228199","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:16 PM and 4:42 AM?\nAnswer: 446","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1553219 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -81 - -81. Sort -18, -1\/5, a, 2\/13 in decreasing order.\nAnswer: 2\/13, a, -1\/5, -18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (((sqrt(176) + sqrt(176) + -1)*1 - sqrt(176)) + -6*(sqrt(176) - -1*sqrt(176)))**2)*-6.\nAnswer: -127794 - 528*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*(-2 + 6 + -25) - (177 + -168)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = -8*t - 8. Does 18 divide t\/(-3) - 318\/(-9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -72351 or -72349?\nAnswer: -72349","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 42 + 66 = o, -o = 5*n - 60. Let y = -4 - -16. Calculate the lowest common multiple of n and y.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3 + -2.8. Let x = 3 + -5. Let i be -3 - -1 - (-4 - x). Which is the third biggest value? (a) i (b) d (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2*(2 + (0 - 1)). Let h(q) be the first derivative of -q**4\/2 + q**3 - q**2 - q + 2. Give h(i).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-40)\/6)\/2)\/((-8)\/(-12))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(q*q*q*q**(1\/3))*q)**(-2\/69)*(q\/(q\/(q**(1\/3)\/q*q)))**(-8\/3)*(q**(-4\/7)\/q**(5\/2))**(-1\/90) assuming q is positive.\nAnswer: q**(-23651\/28980)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/(-5))\/(18\/3)?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 j when two letters picked without replacement from ccqbnvj?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 560 minutes before 7:29 AM?\nAnswer: 10:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8, 21, 120, 325, 672, 1197, 1936?\nAnswer: 2925","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -3*k**2 - k + 2. Let w be c(2). Let o = w - -15. Solve -o*t + 2*t = -5 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -17*q**3 + 34*q**2 + 13*q - 15. Let s(c) = -7*c**3 + 14*c**2 + 5*c - 6. Let a(x) = 12*s(x) - 5*y(x). Determine a(3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gigiiiggiugigiiooui. Give prob of sequence oi.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 629 + -629.4. Which is the second smallest value? (a) -5 (b) g (c) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1375585778 to the nearest integer?\nAnswer: 1112","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -312*c**2 - 55*c**2 - 14*c**2.\nAnswer: -381*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + -16 + -1 - (8 - -1).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/5? (a) 1.3 (b) 1\/16 (c) 0.043\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -174724863 + -0.2?\nAnswer: -174724863.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = -4*o - 0 - 8, 4*o - 5*y + 8 = 0. What are the prime factors of 18\/4 + o\/(-4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*u**3\/5 - 8*u**2\/5 - 96*u\/5.\nAnswer: 4*u*(u - 6)*(u + 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 14821 + -7917. Let d = m + 2243. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) be the third derivative of a**5\/60 + a**3\/6 + a**2. Let d be c(3). What is the highest common factor of d and 70?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 9\/203 and 13\/145.\nAnswer: 1015","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (15 - 7 - 4*x - 7)*(5*x**3 + 12*x**3 - 3*x**3).\nAnswer: -56*x**4 + 14*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 62 divide 2352528?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out 824 * 40.\nAnswer: 32960","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1278 a multiple of 71?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 71416 is divided by 361.\nAnswer: 299","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (4\/(-20) + -1)\/(4\/(-10)). Suppose -4*c + 37320016 = -g*a, 0*a - 2*c = 2*a + 24879992. Round a to the nearest 1000000.\nAnswer: -12000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 10*q**2 + 6*q + 6. Let i(w) = -w - 1. Determine 6*i(a) + u(a).\nAnswer: 10*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 393.1 - 393.1. Is t at most 1\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 8169937 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 121 + -33. Let j = -19 + y. What are the prime factors of j?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*u - 4*g = 10, -149*u + 1 = -150*u - g for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -358769*a**3 + 2*a**2 - 10642872*a wrt a.\nAnswer: -2152614*a + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 16 (base 14) in base 3?\nAnswer: 202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 372 minutes after 7:59 AM?\nAnswer: 2:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from beoe. What is prob of sequence be?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1441 - 1342. Let d(h) = -9*h - 4. Let v be d(-3). Let x = v - 12. Calculate the highest common factor of x and n.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 32\/351 and 91\/18?\nAnswer: 702","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 48 and 132.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 90\/((4\/490)\/((-39)\/(-195))) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c = 0, 3*c - 6 = -3*h - 0*c. Suppose 11 = 2*a + 3*i - 0*i, -5*a = -h*i - 18. Calculate the highest common divisor of 44 and a.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1307812043 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 2442424440 (base 5) in base 16?\nAnswer: 58e936","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*z**3 + 2*z**3 + 2*z**3 + (-9*z**3 - 34*z**3 + 7*z**3)*(-3 + 2 + 2) + z**3 - 5*z**3 + z**3.\nAnswer: -41*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2*(-3)\/(-2) + -1. Suppose 0 = b - z*b + 29. Let l = b + -15. Calculate the remainder when l is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that -4*r**4 + 224*r**3 + 228*r**2 = 0.\nAnswer: -1, 0, 57","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1600 and 2250.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 6515 to the power of 1\/2, to the nearest integer?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1 - -4) + (-4 - -6). Suppose -y - 3 = -a. Let b be (-1)\/y + 14\/4. Solve -6*p = -b*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/((m\/m**(-1\/4))\/m))**17*(m\/m**(-5\/7))\/(m*m*m*m**7) assuming m is positive.\nAnswer: m**(125\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xsss when four letters picked without replacement from sssssxss?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1419 and 25550041.\nAnswer: 473","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*f - 5*l + 2*l + 171, 0 = 4*l + 12. What is f rounded to the nearest 100?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -17 - 1211a?\nAnswer: -12134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.24416 centuries in millennia?\nAnswer: 0.024416","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 197390.\nAnswer: 2, 5, 19739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-7 + 12)\/((-5)\/(-6)). Suppose -m - 5*w = -1, 0 = -2*m + j*w - w - 13. What are the prime factors of 590\/20 - 2\/m?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*g**3 + 3*g**3 + g**3)*(900*g - 1054*g - 1331*g)*(1 + 2 - 1).\nAnswer: -2970*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 3\/7 (b) 5 (c) -2\/11 (d) -2 (e) -0.07\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n + 2*x + 21 = 0, -56*x + 59*x = 3*n - 21 for n.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -185, -662, -1435, -2504, -3869?\nAnswer: -5530","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 3 + 1)*(4*y**2 + 2*y**2 - 4*y**2)*(15 - 6 + 6)*(-71*y**3 + 79*y**3 + 0 - 5).\nAnswer: 960*y**5 - 600*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:29 PM and 4:11 AM?\nAnswer: 702","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -9\/5, 22, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/5 - (-24)\/10. Suppose 5*t + 186 = 6*k - 4*k, -k + x*t = -95. Suppose -2*z + 4*n + k = z, 0 = -4*z - 5*n + 158. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -64609 divided by 353?\nAnswer: -64609\/353","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1d - -6053b?\nAnswer: 6055a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 52280, 52928, 53576, 54224?\n\"Answer: 648*d + 51632","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -105*v + 777 = -378. Calculate the greatest common divisor of 297 and v.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c**4\/11 + 80*c**3\/11 - 1136*c**2\/11 + 6720*c\/11 - 14112\/11 = 0. Calculate c.\nAnswer: 6, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -44 divided by -414931.\nAnswer: 4\/37721","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1024 - 1024 + 107*n)*(-5 - 1 + 5) - 4 - n + 4 + 0 + 0 + 3*n)*(-5 + 2 + 1).\nAnswer: 210*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 9 = 6*a - b, -b = 4*a - 9. Suppose d = -4*r + 225, 2*r + 525 = 2*d + 95. Suppose 0*o + 4*n = -3*o + d, -a*o = -n - 141. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (-1*sqrt(1216))**2*1.\nAnswer: 1220","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21646?\nAnswer: 2, 79, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 23*k + 261. Let n be h(-11). Solve n*c - 35 = 3*c + 2*w, -2*w - 10 = 0 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(1008) - (sqrt(1008) - (sqrt(1008) + 1*sqrt(1008))))*6)**2.\nAnswer: 1306368","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3206\/77 - 42) + (-200)\/(-308).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -j**2 + 29*j + 8. Let o be l(10). Let f(q) = o*q - 9 - 105*q - 107*q. What are the prime factors of f(-7)?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*s + 13 - 5 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 2137, 16386, 54805, 129478, 252489, 435922?\n\"Answer: 2014*m**3 + m**2 + 148*m - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/3*(-96)\/30*(-1370)\/(-21920)\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-2)*u**(-1\/3)*u*u)**(-9))**(-2\/77) assuming u is positive.\nAnswer: u**(-6\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2*1)\/2*(-6)\/8. Sort -0.1, 2\/5, n, 2\/11.\nAnswer: -0.1, 2\/11, 2\/5, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 53, 5\/3, 2744, 0, 2 in descending order.\nAnswer: 2744, 53, 2, 5\/3, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = c**2 + 40*c + 359. What is o(-25)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d = 4*w, -5*d + 6*w - 18841 = -18835 for d.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tvutvxvvttvtvvttt. Give prob of picking 3 v and 1 t.\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 + 2*q**2 - 3)*(-2*q**2 - 3*q**2 + 3*q**2) + 227*q**4 + 537*q**4 + 292*q**4 - q**3 + q**3 + q**4 as d*q**3 + i + w*q + r*q**4 + s*q**2 and give r.\nAnswer: 1053","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 879 is divided by 731.\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -323363527 - 2*t + 323363527. Let x(n) be the second derivative of -n**3\/2 - 17*n**2\/2 - n. Determine x(p(w)).\nAnswer: 6*w - 17","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -u**3 + 7*u**2 - 7*u + 10. Let f be h(6). Differentiate -81 - m**2 + 69 - f*m**3 - 46 wrt m.\nAnswer: -12*m**2 - 2*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -34 + 24. Let s be ((-4)\/u)\/(1\/(-5)). Let k be (-4 - 6\/s) + 10. Solve 5*n + 15 = -5*m, -3*m + 3*n = 2*m - k for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -562440660 by -14801070.\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -88*s = -90*s - 4*k + 116, -3*s = -3*k - 174. What is the remainder when 554 is divided by s?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 6511967*a*c**3*v - 6*a*c*v + 6149841*c**3*v - 27*c**3 wrt a.\nAnswer: 6511967*c**3*v - 6*c*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -633858780171 - 0.04\nAnswer: -633858780171.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/(a**(-9)\/a))\/(a*a*((a**(2\/9)\/a)\/a)\/a))\/(a**11\/(a\/(a*((a\/(a\/(a\/a**(-7))*a))\/a*a)\/a))) assuming a is positive.\nAnswer: a**(-47\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Add together 4 and 2.4138.\nAnswer: 6.4138","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30 = 5*x - 15*x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -2*j - 1. Let n(q) = -4*q - 2. Let b(y) = 6*n(y) - 14*s(y). What is the tens digit of b(3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(1\/3)\/(f\/f**(-18)))**(10\/3) assuming f is positive.\nAnswer: f**(-560\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 279824+0.15013403\nAnswer: 279824.15013403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**14\/(g\/(g**(-3\/10)*g))*(g\/g**2)**(-6) assuming g is positive.\nAnswer: g**(197\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 31, 52, 73, 94, 115?\nAnswer: 136","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 4311 - 434?\nAnswer: 3433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 1 + 5 + 15*v.\nAnswer: 15*v + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 3975 to the power of 1\/3, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 66*p - 20*p - 513 - 177 = 0 for p.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 88 + 90 + 3*x**2 - 2*x**2 - 178.\nAnswer: x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27623 is divided by 9116.\nAnswer: 275","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 8 + 235?\nAnswer: 244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 13, c: 5}. Give prob of picking 4 c.\nAnswer: 1\/612","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + 0 + sqrt(80) - (2 + sqrt(80) + 2) - 4*(-1 + sqrt(80)*1))**2*5.\nAnswer: 160*sqrt(5) + 6405","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:51 PM and 11:15 PM?\nAnswer: 444","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 46\/15 and -167\/2206890.\nAnswer: 2206890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 236 (b) -3 (c) 3522 (d) -3\/2 (e) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/3, 0.2, 0.3, 1\/7 in ascending order.\nAnswer: -2\/3, 1\/7, 0.2, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -5 (b) 0.6 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2.6 - -14.4. Let j = 9 - p. Let v be (-3)\/((-15)\/(-2))*(-775)\/62. Which is smaller: j or v?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 234 or 935\/4?\nAnswer: 935\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:43 AM and 5:29 PM?\nAnswer: 406","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -q**3 + 30*q**2 + 901*q - 22950. Determine f(21).\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = u**3 + 3*u**2 - u - 9. What is z(-3)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -142, 2, 3, -4, 350, 1 in decreasing order.\nAnswer: 350, 3, 2, 1, -4, -142","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11759704 is divided by 18?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*l - 13824 = 300*l for l.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1\/18 - 0*(-3)\/(-15). Let v(i) be the second derivative of 1\/45*i**5 + 1\/27*i**3 + 0 + 0*i**2 - 2*i - w*i**4. Solve v(t) = 0.\nAnswer: 0, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide (-582)\/(-6) - 3\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2675163 divided by 39?\nAnswer: -891721\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -914c2 (base 13) to base 6.\nAnswer: -5324024","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -s - s + 3*x, 2*s - 2*x - 2 = 0. What is the units digit of (-54)\/(-4) - s\/(-4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 465, 2970, 5475, 7980?\nAnswer: 10485","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -14 + 7. Let y = -5 + f. Let k(d) = d + 13. Let l be k(y). Sort l, 3, -3 in increasing order.\nAnswer: -3, l, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 6 = -t - 0*c, 2*c - 6 = 5*t. Suppose -6*y + y + 15 = t. Suppose 0 = y*z - 9 - 15. What is the units digit of z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -2*m - 3. Let r(a) = -a + 1. Let t(y) = -o(y) + 4*r(y). Calculate t(6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (0 - 2\/111)\/((-85)\/15). Let g = x - -625\/1258. Which is bigger: g or 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence om when two letters picked without replacement from {m: 1, o: 2}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 5 + 20 = 0. Let t(s) = -2*s**2 - s + 3. Let r be t(n). Let a = 23 + r. What is the remainder when 43 is divided by a?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35 = 6*f + f. Suppose -r + 4*j = -0*r - 95, -j - f = 0. Let d = r - 43. Calculate the remainder when d is divided by 17.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 2, n: 6, e: 7}. Give prob of picking 3 n and 1 u.\nAnswer: 8\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -f**3 + f**2 + 2. Let j be z(-3). Suppose 2*x = j - 30. Suppose -x*l + 0*l = -152. Calculate the remainder when l is divided by 20.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 34 + 7 = 0. Let s = 43 - c. Suppose s*d - 17*d = -1. Calculate the lowest common multiple of 6 and d.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 395, 394, 393, 392, 391, 390?\nAnswer: 389","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o\/o**(10\/3))**(7\/9))**(-1\/9))**(-6\/11) assuming o is positive.\nAnswer: o**(-98\/891)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -f**3 - 5*f**2 - 6*f - 3. Let q be l(-5). Suppose 3*j + 5*i - 58 = 0, -5*i - 81 = -4*j - q. Is 16 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -y + 11053 - 5*y - 6180 + 5*y.\nAnswer: -y + 4873","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 792350*w**3 - 314*w**2 - 1245*w + 124205 wrt w?\nAnswer: 4754100*w - 628","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 841071842.\nAnswer: 2, 13, 32348917","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3007 or -5528?\nAnswer: -5528","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-128)\/3 - 0)*(40 + -4). What are the prime factors of n\/(-60) + (-2)\/(-5)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 135800000 rounded to the nearest 1000000?\nAnswer: 136000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 13736 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.467389122 rounded to two decimal places?\nAnswer: 0.47","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -38862*i. Let h(z) = -2*z. Give h(r(c)).\nAnswer: 77724*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -7.8498457 to 0 dps.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 1 - 5)*(2 - 4 + 4)*(-668058 + 668058 - 799*g).\nAnswer: 1598*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(128) + 1 - sqrt(128)) + 5.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 + 44*y + 44*y + 56*y + 2 - 1 to the form q*y + l and give q.\nAnswer: 144","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 2, r: 3, y: 7}. What is prob of picking 1 r and 2 y?\nAnswer: 63\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -r - 55 + r**3 + r**2 + 326 - 137 - 120. Let y = 0 - 0. Determine j(y).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-3 + (-4 - -8))*0. Suppose 9*o - 3*o - 60 = a. Calculate the remainder when o is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 * 46\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -x**2 + 14. Let b be z(0). What is the common denominator of 15\/4 and (-722)\/90 - b\/(-63)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*c**2 - 2 + 2)*(-3*c + 3*c + c**2) - 5*c**3 + 5*c**3 + c**4.\nAnswer: 3*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rsrr when four letters picked without replacement from rsrsrrr?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 10*t**2 + 15*t - 4. Let d(g) = -9*g**2 - 12*g + 1. Let b(c) = -9*c**2 - 11*c. Let u(y) = 2*b(y) - 3*d(y). Let l(f) = -5*p(f) + 6*u(f). Factor l(j).\nAnswer: (j + 2)*(4*j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -b**3 + 12*b**2 - 138*b + 1193. Give n(10).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -182 + (-8)\/(-4) - -4. Let b = 177 + q. Solve -m = 4*p + 1, -3*p + m - b = -2 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Factor -2*x**3\/3 + 20968*x**2 - 41934*x + 62900\/3.\nAnswer: -2*(x - 31450)*(x - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*m + 3*m + 2*m)*(-3*m - 2*m + 9*m)*(-5 - 6 - 10).\nAnswer: -168*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (1*-2)\/(-4)*10. Let u = -22679\/16 + 1417. Let k = u + -1\/16. Which is the closest to 0.1? (a) k (b) y (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k - 2*x = -5, -3*k + 1126*x + 9 = 1129*x for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -171055250 to the nearest 1000000.\nAnswer: -171000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (105 + 104 + 170)*(8*g - 5*g + 12*g).\nAnswer: 5685*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -f**3 + f**2 + 6*f + 2. Give o(-4).\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-11 + -1)\/(36\/(-24)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 8*p - 24. Let j be o(14). What is the second derivative of 16*n**3 + 136*n - 18*n + j*n**3 - 26*n**3 wrt n?\nAnswer: 468*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 - 1 - (30 - 23).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 704?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 14315315 (base 6) in base 16?\nAnswer: 7835f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 207895\/8 - (-9)\/72?\nAnswer: 13, 1999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 + -1 + (-8 - (-3 - 1))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 + (-3 - 6 - -11)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 285747540.\nAnswer: 2, 3, 5, 13, 366343","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 2799 divided by -66?\nAnswer: -933\/22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 2*v + 2*v = 0, 0 = -4*v. Solve 0 = 5*y - b*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/(-420)*5)\/((-24)\/(-56)).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) be the second derivative of j**5\/20 - 11*j**4\/12 - 4*j**3\/3 - 27*j**2 + 2180*j. Determine o(12).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -v + 13. Let k be 6*1 + 22\/(-11). What is the remainder when 14 is divided by o(k)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1663082032 to the power of 1\/2, to the nearest integer?\nAnswer: 40781","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 51*d + 7*d - 348 = 0 for d.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*b - 146 + 246 - 100.\nAnswer: 4*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -7800968*z**2 + 5175114*z wrt z.\nAnswer: -15601936","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7492259 is divided by 6836.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 14*l**2 + 18*l - 18. Determine c(1).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 275 and 11?\nAnswer: 275","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*n + 5*n + 167*n**3 - 3*n**2 - 110*n**3 + n**2 - 65*n**3 to the form l + r*n + q*n**2 + a*n**3 and give a.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2000964 is divided by 4569.\nAnswer: 4311","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3\/17, 4, -202, 11, 0.4, -1?\nAnswer: -202","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 105 and 245?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -134 not equal to -9674183?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -4 + 1c8?\nAnswer: 1c4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.2 or -24611?\nAnswer: -24611","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r, 1 b, and 1 v when three letters picked without replacement from bvurbbhbbvbbsr?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 6425089 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12181\/(-41228))\/(52\/(-16)).\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a day in seconds?\nAnswer: 21600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Total of 2586555086.57 and 5.\nAnswer: 2586555091.57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*m**3 - 6*m**3 - 7*m**3 + 8*m**3 - m**3.\nAnswer: 8*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7707 is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1082.96 + -1083. What is the fourth biggest value in 0, -2, -7.4, k?\nAnswer: -7.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 27509*r**2 + 2*r. Let t(q) = -q. Determine t(a(h)).\nAnswer: -27509*h**2 - 2*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-16)\/(-4 - -6) - 196\/(-24).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -682*u - 27946. Calculate c(-41).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = r**3 - 8*r**2 + 3. Let d be j(8). Suppose -2*z + 4*c + 4 = 0, 0*c - 3*c + 2 = z. Let 0*q**z + 0*q + 0 + 2\/3*q**d = 0. What is q?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11, 16, 0, 1, 5, -1.\nAnswer: -11, -1, 0, 1, 5, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*i - 30 + 50 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -67\/45795242 and 38\/7.\nAnswer: 320566694","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 5*t**2. Let x(m) = -20*m**2 + 3. Calculate a(x(k)).\nAnswer: 2000*k**4 - 600*k**2 + 45","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -u**2 - 1. Suppose -10 = -5*w - 0*w. Let c be s(w). Sort 1, c, 3.\nAnswer: c, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 122543 > 122543?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 3*m - 16 = 0. Suppose -56 = -2*j - m. Does 24 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 5*l - 10. Suppose 3*u + 3*c = 705, -4*u + 5*c + 925 = l*c. Suppose 0*o = -3*o - 2*x + 781, -5*x = -o + u. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -88349 divided by 3\nAnswer: -88349\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 56980229?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -193*l**3 + 5*l**2. Let g(r) = 97*r**3 - 2*r**2. Give -5*g(m) - 2*t(m).\nAnswer: -99*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 51\/88 and 39\/2591908.\nAnswer: 5183816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -35 - 825*l**2 + 830*l**2 + 2*l**4 - l**4 + 2*l to t*l**3 + u*l**4 + k*l**2 + j + q*l and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -52 - -100. What is the remainder when a is divided by (500\/30)\/(2\/(-12)*-4)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2963815 is divided by 1653?\nAnswer: 1639","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (o**2 - o**2 + o**2)*(-2*o - 3*o + 0*o) + (-6*o**2 + 2*o**2 + 2*o**2)*(2*o + 0 + 0).\nAnswer: -9*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 121 (base 8) to base 11.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12504163 (base 7) to base 2.\nAnswer: -100010111011000010110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 617102872 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -906 + 910. Let x = -4 + 6. Let z(t) = -t + 14. Let j be z(10). Solve -x*b + c*b - j = 0 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -348 + 380. Suppose 36*i - 132 = q*i. Calculate the greatest common factor of i and 33.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*c - 58 = -88. What is the common denominator of -31\/27 and 640\/2040 + 1\/c?\nAnswer: 918","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -2*n - 12. Let j be v(-7). Suppose i + 6*q - 88 = j*q, 3*q = 5*i - 440. Let y = i - 41. What is the tens digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3549, 3538, 3527, 3516?\nAnswer: 3505","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-5515)\/(-5) + (24\/(-4) - -10).\nAnswer: 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 2*d = 3. Suppose -d*n + 4*n = 5. Suppose -3*z - 63 = -3*f - 0*z, 2*f + 2*z = 38. What is the greatest common factor of f and n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 103*k - 37 + 110*k + 37.\nAnswer: 213*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ocloildlood. Give prob of picking 2 l and 1 o.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6636.\nAnswer: 2, 3, 7, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6617.081 millennia to months.\nAnswer: 79404972","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 86, 94, 102, 110, 118?\nAnswer: 126","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f and 1 c when three letters picked without replacement from {h: 2, y: 3, c: 9, f: 5}?\nAnswer: 30\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21703*v**3 + 43374*v**3 - 21765*v**3.\nAnswer: -94*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 75\/2 of a milligram?\nAnswer: 37500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 18040409 and 8259?\nAnswer: 2753","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 52733.\nAnswer: 52733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -60 + 95. Let n = 34.971 - i. Round n to two dps.\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 52275253 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -213 - -217. Find the third derivative of t**2 - 35 + 13*t**3 + 37 - t**g + 30*t**3 - 2*t**2 wrt t.\nAnswer: -24*t + 258","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*-5*((2 + sqrt(2736) - sqrt(2736)) + -5 - 4*sqrt(76)\/(sqrt(4)*2)))**2.\nAnswer: 300*sqrt(19) + 2125","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 187 is divided by 71.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 22*x**2 - 3*x - 3. Let j be q(-1). Let w = j - 7. Suppose -k + 77 = -5*m, 0 = -5*k + 3*m - 0*m + 297. What is the remainder when k is divided by w?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 40\/5 - (12 + -7). Solve n*q - 6*q = -2*g + 14, 4*g = q + 8 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 9*m = 10848. What is the units digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 26, 84, 182, 320?\nAnswer: 498","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -12 - -32. Suppose -l*m = -14*m - 1470. What is the units digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 19 - 14. Let j = 5.3 - l. Let z = 11.895 + 0.105. What is the second smallest value in -0.3, z, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that 2*b**5\/11 + 238*b**4\/11 - 6430*b**3\/11 + 14898*b**2\/11 + 57708*b\/11 - 153360\/11 = 0.\nAnswer: -142, -3, 3, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4 - -6)*-2*(-1)\/(-4). Let u be (1 - 0 - 1)*1. Suppose -4*l = -u*l. Sort n, l, 5 in descending order.\nAnswer: 5, l, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17052158.\nAnswer: 2, 19, 448741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (20 - 20 - 10*h)*(3 + 0 + 5)*(0 + h + 0) in the form q*h**2 + p*h + k and give q.\nAnswer: -80","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 811355?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 24.1491, 2\/535.\nAnswer: -3, 2\/535, 24.1491","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 94668 and 48?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-84)\/(-32)*(-3570)\/(-9163)*-11?\nAnswer: -45\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 126366173 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 142487 divided by 15.\nAnswer: 142487\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -85\/66342 and -97\/1149928.\nAnswer: 3449784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (m + 0*m + m)*(2*m**2 - 2*m**2 + 2*m**2) + (7 - m - 7)*(-1 - m**2 + 1) - 35*m**3 - 346 + 345 - 61*m**3.\nAnswer: -91*m**3 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38*v = 4*q - 34*v - 24716, 0 = 5*v - 20. List the prime factors of q.\nAnswer: 5, 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r and 2 o when four letters picked without replacement from rororrrrrrrrrrrorro?\nAnswer: 105\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(51)\/(2*sqrt(48)) + -6*sqrt(425)*-5.\nAnswer: 1201*sqrt(17)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 3, z: 7}. What is prob of sequence lzll?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 215711141.0000027 - 215711150. Let k = g - -9. Round k to five decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 22\/1935 and -133\/540?\nAnswer: 23220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (16 - 19) + -2 + (1 - 1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -i**3 + 7*i**2 + i + 2. Let y be q(6). Suppose y*h - 35*h - 2502 = 0. What is the tens digit of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -2*c**2 - 4. Let n(v) = -v**2 - v - 1. Let s(t) = -n(t) + q(t). Suppose -197*u - 38*u = -357 - 818. Determine s(u).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-7)\/((-7)\/2))\/(-8).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -11343 + 11342.90111. Let v = j - -0.098. What is v rounded to 4 decimal places?\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/(-8)*(-128)\/168*-7.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-66)\/(-110))\/((68\/360)\/17). Let o = -2 - -4. What is the greatest common factor of o and w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2\/3*(-15)\/10\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3843059 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1)\/(-2) + 2871\/(-22). Let n be (-2)\/7 - p\/14. Suppose 5*b + l - 41 = 0, 42 = 5*b - 5*l - 23. What is the highest common factor of n and b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -88, -49, 14, 101, 212, 347, 506?\n\"Answer: 12*u**2 + 3*u - 103","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 611 minutes before 4:31 AM?\nAnswer: 6:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 229709 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - 6*z - 4 + 217*z.\nAnswer: 211*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1044?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -128 + 165. Find the common denominator of 65\/6 and 1\/10*c\/(-2).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (39\/21)\/(((-5)\/20)\/(42\/(-24)))\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = -3*s - 34, -3*s - s + 3*w = 47. Let a = 183 + -179. Suppose 2*b = -h - 1, 0 = 3*h - a*b - 7. Sort s, h, 3.\nAnswer: s, h, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3090927?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 4546, 9223, 13886, 18541, 23194?\n\"Answer: f**3 - 13*f**2 + 4709*f - 151","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-6)\/((231456\/38577 - 2) + -4). Let d = m - 1620079\/42. Calculate the common denominator of -9\/77 and d.\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 22 - 20002?\nAnswer: -12210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -3*h**3 + 3*h**2 - 4. Let y be (52\/169)\/(20\/130). Let i(w) = -2*w**3 + w**2 - 2. What is y*m(k) - 5*i(k)?\nAnswer: 4*k**3 + k**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 57 + -57. Suppose m = -9*v + 539 + 829. What is the highest common divisor of v and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 9\/15*(-5)\/(-1). Let f be 146 - 27\/12*(-32)\/(-12). Suppose 0 = 5*r - 2*h - f - q, -4*r + 112 = -4*h. List the prime factors of r.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 1 - 4)*(17*m - 44*m + 11*m).\nAnswer: 16*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) be the first derivative of 7*v**3\/3 + 70. Let r(n) = 6*n**2. Determine r(w(p)).\nAnswer: 294*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 7344 - 7344 + 153*q**2 + 225*q**2 + (3 + 1 - 2)*(-4*q**2 + q**2 + 5*q**2) in the form t + b*q**2 + c*q and give b.\nAnswer: 382","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 582369 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -416.889952 + 416.49. Let o = 0.4 + d. What is o rounded to five decimal places?\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 68 and 12?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 88.12425 + 12.875956. Let z = -101 + p. Round z to five dps.\nAnswer: 0.00021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5 - 5. Let q be 18*(-1 + (f - -2)). Suppose 4*n - 4*u - 12 = 0, -5*u + 63 - q = 5*n. List the prime factors of n.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*u - 15*u = -20. What is the nearest to 4 in 2, 1\/6, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11 (base 3) to base 5.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9738, 38668, 86732, 153930?\nAnswer: 240262","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4816, -4818, -4822, -4828?\nAnswer: -4836","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p**(2\/9))**(1\/31)*((p*p\/((p\/(((p*p*p\/(p*(p*p**(-13))\/p*p))\/p)\/p))\/p)*p)\/p)\/p*p*p\/((p\/p**9)\/p) assuming p is positive.\nAnswer: p**(6707\/279)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -278 < -0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.2 + -0.18. Let o = q + -0.42. Let j = 632 + -632.5. Put j, o, 1 in decreasing order.\nAnswer: 1, o, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 115070000 rounded to the nearest one million?\nAnswer: 115000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m + 8 = -0*j - 2*j, 5*m + 4 = -j for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 506701, 506698, 506695, 506692, 506689?\nAnswer: 506686","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -52*w = -113*w - 488 for w.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22011102110 (base 3) to base 7.\nAnswer: 1236324","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 965104?\nAnswer: 2, 7, 1231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3279 - 3184. Solve 0 = 16*j - n + 15 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -28*w**2. Let y(l) = -4885*l**2. Determine y(n(r)).\nAnswer: -3829840*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - m + 5*a - 953 = 0, a = -5*m + 4837. List the prime factors of m.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 2 + 1)*(-4*r**2 + 6*r**2 - 4*r**2 + (-r + 3*r - 3*r)*(19 - 19 - 6*r)).\nAnswer: -12*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*o - 6*o - 3*o + (0 + 0 + 1)*(3*o + 0*o - 5*o))*(-3 + 3 - 4) in the form s*o + u and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 1*(-14)\/(-7).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 20 - (17 - (16 - -12))\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 3864, 3843, 3786, 3675, 3492, 3219, 2838?\n\"Answer: -3*m**3 + 3867","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1 - -111111100?\nAnswer: 111111011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -2*u + 1. Determine h(5).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 97 divide 324824870?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + 4*(0 + -5*(5 + 0 + sqrt(2299) - 4*(1 + sqrt(2299))))**2 + -2.\nAnswer: -6600*sqrt(19) + 2069193","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 103\/11625094 and -81\/16?\nAnswer: 93000752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 646 to the power of 1\/8, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -67 (b) 286 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 + (-7 - -1) + (-7 - -4) + -2?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.049 + -29.951. Let j = 18 + b. Let g = -10 - j. What is the nearest to 2\/5 in 1\/2, 1, g?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -122 + 374\/3. Calculate the common denominator of n and (-669)\/(-54) + -5 - 9\/27.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 5 + 0)*(12506 - 12506 + 39*i)*(3*i - 2*i + 2*i).\nAnswer: 234*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -r**3 - 8*r**2 + 6*r + 65. Let k be p(-8). Solve -2*w + 15 = -k*w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -137517 + -11?\nAnswer: -137530","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by 2834977.\nAnswer: 5\/2834977","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/71 in 0.1, -6, 153, 5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*o**4 - o - o**4 + o**4 + 0*o**3 + o**3 to f*o**4 + z*o + q + u*o**2 + w*o**3 and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 34 and 10317300?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -22, 3184 in descending order.\nAnswer: 3184, -2, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1 - -1. What is the common denominator of (14\/(-378))\/(2\/15) and (p - 1) + (-98)\/(-16)?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 116*j - 2 + 54 - 769*j**3 + 76*j**2 + 781*j**3 = 0. What is j?\nAnswer: -13\/3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000928952474 to five decimal places.\nAnswer: -0.00093","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) be the first derivative of -5*w**5\/4 + 5855*w**4\/16 - 577*w**3\/6 - 935*w**2\/2 - 234*w + 2493. Let r(q) = 0. Calculate q.\nAnswer: -2\/5, 1, 234","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 293 minutes before 11:10 AM?\nAnswer: 6:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 84.941 + -85. What is v rounded to 2 decimal places?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven thirds of a millennium in months?\nAnswer: 28000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from slsshsssuhshshs. Give prob of picking 2 s and 1 h.\nAnswer: 144\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(832)*-1 + -2 + 0) + (((sqrt(832) - (sqrt(832) - (sqrt(832) - -4*(sqrt(832) - (-1 + sqrt(832)) - sqrt(832))))) + sqrt(832))*2*6)**2.\nAnswer: -18480*sqrt(13) + 481524","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6282 is divided by 87.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -2*t**3 + 11*t**2 - 9. Suppose 3 = 3*b - 6. Let h(u) = u**3 - 5*u**2 + 4. Give b*c(d) + 7*h(d).\nAnswer: d**3 - 2*d**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -0.23 times 0.12\nAnswer: -0.0276","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 4*n = 3041, -n = 311*q - 307*q + 12249. Which is bigger: q or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 at most as big as -313\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*j**2\/7 + 328*j\/7 - 330\/7.\nAnswer: 2*(j - 1)*(j + 165)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n = -3*n. Let u be (9\/(3 + n))\/1. Suppose u*g - 900 = -2*g. Round g to the nearest 100.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -26, -29, -42, -71, -122, -201, -314, -467?\n\"Answer: -m**3 + m**2 + m - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-26)\/(-130))\/(134\/28810)?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 9*a**3 + 35*a**2 - 50*a + 4. Let t be x(-5). Let j(h) = -h**2 - 4*h - 1. Let l(p) = 4*p**2 + 17*p + 5. Give t*l(w) + 18*j(w).\nAnswer: -2*w**2 - 4*w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 11*v**2 + 8115*v + 7. Let b(r) = -5*r**2 - 4069*r - 3. Calculate 7*b(j) + 3*y(j).\nAnswer: -2*j**2 - 4138*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -2*x - 4. Let y(d) be the second derivative of -5\/2*d**2 + 0 - 1\/3*d**3 + 44*d. Calculate 6*o(a) - 5*y(a).\nAnswer: -2*a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 46288738.99 rounded to the nearest one hundred thousand?\nAnswer: 46300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2897 - -4510. Is p a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 104934 is divided by 1177?\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1680 and 14336?\nAnswer: 215040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(3) - (-4 + sqrt(147))).\nAnswer: -6*sqrt(3) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -l**3 + 13*l**2 + 7*l - 22. Calculate f(13).\nAnswer: 69","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 66 and -1 + -3 + 1819 + -2 + -2 + 1?\nAnswer: 19932","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 2, y: 3, j: 6, n: 5, e: 2}. Give prob of picking 1 j and 1 y.\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3521*q**2 + 16699026*q - 16699026*q)*(-3*q - 1 + 0*q + q) to the form t*q**3 + g*q + h*q**2 + z and give h.\nAnswer: 3521","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 4, q: 3}. Give prob of sequence qq.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = c**2 - 1. Let j be p(1). Suppose j = z + 2*z - 54. Suppose o = z - 12. Let v(n) = -n - 7. Determine v(o).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 3*f**2 + 56*f - 17. Let r be m(-19). Solve -5*u + 5 = -2*j - 1, 0 = -4*u - r*j + 12 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4\/(-2) + (2 - -4). Let d = 22 - t. Suppose 4*k - 9*k = 5*r, -2*k + d = -4*r. Are 1 and k nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 72455 divided by 5.\nAnswer: 14491","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g - v + 12 = 0, -5*v = -3785*g + 3787*g - 9 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -80\/9, -2003, -0.3 in decreasing order.\nAnswer: -0.3, -80\/9, -2003","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 7896 and 4224.\nAnswer: 1389696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(1 + sqrt(192) + -2)*5)**2.\nAnswer: -14400*sqrt(3) + 173700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -684 - -658 - (7 - (-2 - -47)).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 53\/24190 and -23\/413.\nAnswer: 169330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 373464 and 67716?\nAnswer: 12324312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -0.1 (b) -9 (c) -2\/3 (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 44*n - 52. Let a be x(3). Let c = 105 - a. Does 12 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = b**2 - 7*b - 3. Let t be i(8). Let m = -15 + 23. What is the lowest common multiple of m and t\/2 - 13\/(-26)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 39 + -37. Let r = 9.9 + -24.3. Let l = r - -14. What is the second smallest value in l, s, -0.06?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2395?\nAnswer: 5, 479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) be the first derivative of -16\/27*s**3 + 1\/9*s**4 + 7 + 7\/9*s**2 - 1\/27*s**6 - 4\/9*s + 4\/45*s**5. Factor h(a).\nAnswer: -2*(a - 1)**4*(a + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ddtttdbb. What is prob of sequence tbt?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**0)**4\/(n**(-4)*n\/(n\/((n\/n**(1\/5)*n)\/n))*n))\/(n**(-6)*n**(2\/3)\/n*n*(n*n*n**(-6))\/(n\/(n\/n**(-2\/15)))) assuming n is positive.\nAnswer: n**(57\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -i**2 + 3*i + 4. Let u be p(0). Let o be (u\/(-20))\/(7\/(-995)). Let k = -1840\/63 + o. Is -2 greater than or equal to k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 168 and 1053456.\nAnswer: 7374192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11291 is divided by 343.\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 163.2 + -163. Is u greater than or equal to -12?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 108 and 141408?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(140)*1)\/sqrt(4))\/((sqrt(150)\/sqrt(3))\/sqrt(10)))**2.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 4, -647, -5 in ascending order.\nAnswer: -647, -5, -3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -35*z**2 - 2519*z - 23427. Give b(-61).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-32096)\/2444 - -13) + (-36)\/(-234).\nAnswer: 1\/47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 167\/91 + -61\/182. Let u(d) be the third derivative of 0 + 8*d**2 + 1\/12*d**5 + 0*d - y*d**3 + 5\/24*d**4 - 1\/120*d**6. Determine u(6).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/12)\/(22\/(-4) + 6)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 18*f + 20*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 482487.\nAnswer: 3, 160829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 190446.\nAnswer: 2, 3, 31741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -302493 - -302498. Let i(g) = -g + 5. Let q be i(4). Which is the nearest to -2? (a) -2\/43 (b) -0.4 (c) q (d) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1815935?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14643 is divided by 7290?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 21764715 and 2915.\nAnswer: 239411865","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20823508 is divided by 336?\nAnswer: 244","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -127*q + 628 = 194*q + 1615 + 1581 for q.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-1)*i\/(i*i**(1\/2))*i\/((((i**0*i*i*i*i)\/i)\/i)\/i)*i*i**(-6)*i)**29)**9 assuming i is positive.\nAnswer: i**(-2871\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 154200 and 4200?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -376 + 114. Are l and -1307\/5 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -6\/96653?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -490*f**4 + 105*f + 3 wrt f?\nAnswer: -5880*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kjkjmkkkkmkjmkkj. Give prob of picking 2 j and 2 m.\nAnswer: 9\/910","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 11843621 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -45, -4, -3, -7?\nAnswer: -45","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = z + 17. Let x(h) = 2. Let t be 0 - 4\/(-18) - 21\/(-27). Let v(j) = t*r(j) + x(j). Calculate v(-14).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - 4*l - 32 = 0, 5*k - 2*l - 3*l = -30. Suppose 2*c = -28 + 18. Sort 2, k, c, -1 in ascending order.\nAnswer: k, c, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*x**3 - 42*x**3 - 18*x**3.\nAnswer: -44*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-seven quarters of a hour in seconds?\nAnswer: 42300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1 + -3. Let u(p) = -p - 4. What is u(j)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*m**2 + 13*m**2 + m**2)*(-3*m**2 + m**2 + 5*m**2) - m**4 - 2*m**4 + m**4.\nAnswer: 19*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = x**3 + 17*x**2 - 66. Does 6 divide u(-15)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.025 + -0.325. Put 0.08, 2\/15, j in increasing order.\nAnswer: j, 0.08, 2\/15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - m = 1340, 12*k - 2204 - 1012 = -2*m. What is the smallest common multiple of k and 1340?\nAnswer: 1340","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00003190958 to seven decimal places.\nAnswer: -0.0000319","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -j - 12. Suppose 4*p = p - 27. Let k be q(p). Let r = -12 + 8. Put 4, k, r in decreasing order.\nAnswer: 4, k, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence od when two letters picked without replacement from qqqlomdq.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (1 - -16) + (-34 - (-2 + -17))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 146943270949 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 246995?\nAnswer: 5, 7, 7057","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (12 + 2 - 4) + -2\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -935.999995863 + 936. Round i to 7 dps.\nAnswer: 0.0000041","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, m: 1, o: 1, i: 2}. What is prob of picking 1 j and 1 m?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + 2*sqrt(931) - (2 + sqrt(931) + -5)**2) + (2 + (sqrt(931) - (-1*sqrt(931) - sqrt(931))*2))**2 + 2.\nAnswer: 196*sqrt(19) + 22339","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3050 and 353190.\nAnswer: 1765950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 1151856 and -5?\nAnswer: 1151861","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 4841 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -12 + -1 + (-2 - 14) + -986 + 983?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -230 + 399. Let q = z - 160. Solve -j - 5*k = 26 - q, j - 19 = 4*k for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 11*p - 44. Let i = -30159 + 30175. Determine b(i).\nAnswer: 132","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 2 k when three letters picked without replacement from lldllllllgdgkglkgd.\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -663 + 797. Is b a multiple of 67?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 14 divided by 28\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out -29 * -77370.\nAnswer: 2243730","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*p - 609 = -22*p. What is the remainder when p is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -103\/1410 and -7\/135546.\nAnswer: 31853310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(-5)*11\/22*-5?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -8*t. Is j(-2) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -252 - 3?\nAnswer: -255","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/((-24)\/(-96))*2\/(-2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:24 AM and 1:13 AM?\nAnswer: 49","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) be the second derivative of 7*a**3 - 2*a**2 - a. Let s be n(4). Let k = 277 - s. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 121?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/(1*(-3)\/(-6)). Suppose -4*c = -2*q - 2*c - 2, z*c - 10 = 2*q. What is the tens digit of (-2)\/6 + 31\/q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 2*l - 1. Suppose -4 = 5*p + 16. Let o = 2 - p. Let i(y) be the second derivative of -y**3\/3 + y**2\/2 - y. Determine o*q(m) + 5*i(m).\nAnswer: 2*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (3 - 2) + (-1917)\/(-9). Suppose -4*z = -4*u - 464, -u - c = -5*z + 382. What is the hundreds digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10993 to the power of 1\/4, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 5 and 91754.\nAnswer: 458770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -452, -962, -1466, -1964, -2456, -2942, -3422?\nAnswer: -3896","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 110 to the power of 1\/8, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 10 - 0*(-3)\/6. Let d(i) = 0 - 2*i + 0*i - p. Determine d(-7).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*i**2\/2 - 626165*i + 1252335\/2 = 0. What is i?\nAnswer: -250467, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lslbt. What is prob of sequence bsss?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -0.19 - 503\nAnswer: -503.19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:50 AM and 8:14 PM?\nAnswer: 624","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(11) + (sqrt(11) - (-1 + sqrt(33)\/sqrt(3))) + (sqrt(11) - (-1 + sqrt(33)\/sqrt(3))) + 3.\nAnswer: sqrt(11) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = u**2 + 70*u + 198. What is r(-67)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 1\/80 of a kilometer?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 185368194.\nAnswer: 2, 3, 11, 936203","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 4336 = -4*z, -17*z + 5410 = -12*z + 5*h. Is z a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -s - 1. Let n be u(-7). Let z = n + -1. Let o be (1\/(-2))\/(2\/(-20)). Solve 5*v = 2*b + 6 - z, 0 = o*v - b + 2 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2171061 + -10?\nAnswer: -2171071","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 19596738 by 160629.\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 99944346 - 29362711 + 21162781 = 288*i. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -81\/20 and 1\/163506?\nAnswer: 1635060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7925?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -15 + 13. Let r = 4 - f. Suppose 4*s - 238 + r = 0. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -415, -837, -1259?\n\"Answer: -422*s + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:50 PM and 6:49 AM?\nAnswer: 599","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) be the second derivative of p**6\/120 - p**5\/60 + p**3\/2 + p**2\/2 - 2*p. Let j(w) be the first derivative of d(w). What is the units digit of j(0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1634?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1, 0.12, 967, 4, -4\/7, -3?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 3 + 0 = 3*w, -d - 12 = 2*w. Let o(j) be the first derivative of -j**2 + 4*j + 1. Is 6 a factor of o(d)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -x - 2*x. Let k be (x\/(-6))\/((-2)\/(-4)). Let q(j) = -j**3 + 5*j**2 - 4*j + 1. Let y be q(4). Which is smaller: k or y?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 7565, 15060, 22537, 30002, 37461, 44920, 52385, 59862?\n\"Answer: m**3 - 15*m**2 + 7533*m + 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -753932, -1507811, -2261690, -3015569?\nAnswer: -3769448","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -59 - -64. Let s be 3\/z + (-3)\/(15\/(-17)). Suppose s*n - 10 = 2*t, n = 6*n - t - 17. Calculate the greatest common divisor of 4 and n.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = -28 - 12. Let j(o) = -o**2 + 16*o - 20. Let w be j(b). Let d = -23 + w. Is d a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that -a**4 + 166405*a**3 - 9230263476*a**2 + 170667571560304*a - 170658341463232 = 0.\nAnswer: 1, 55468","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -1.5 and 0.16218578?\nAnswer: 1.66218578","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3200 and 734080.\nAnswer: 640","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j**(-28))\/j*j*j)**(1\/78)\/(j*j**(-4\/11))**(6\/13) assuming j is positive.\nAnswer: j**(-269\/429)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2202*t - 3186 = 2229*t for t.\nAnswer: -118","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 728130*f + 4290 = 728260*f for f.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m - m = -2. What is the remainder when 3 is divided by m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*j + 1 - 2 + 0)*(-4 - j**4 + 4 + 1 - 1 - 2*j**4 + (-1 + 1 - 2*j**2)*(-4*j**2 + 5*j**2 + 0*j**2)).\nAnswer: 15*j**5 + 5*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide 747082766 by 1.\nAnswer: 747082766","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -2*l**2. Suppose -n = 0, 7 + 1 = 2*c + 2*n. Let f(r) = 10*r - 5*r - 19 + c*r + 20. What is f(y(t))?\nAnswer: -18*t**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 4 - k - 4 - 1. Let a be c(-5). Let i be 333\/12 + (-3)\/(-12). What is the highest common factor of i and a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -23, 55 in descending order.\nAnswer: 55, 2, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 195 - 1367\/7. Let m = 15 - 15.1. What is the nearest to 2 in 0.3, b, m?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -5*m + 35. Let g be w(7). Suppose -8*q - 100 = -5*o - 5*q, g = 2*o + 5*q - 71. Does 2 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 59*f - 47*f = 132. Let a = -11 + f. Solve 0*t + a*t = -3*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6310?\nAnswer: 2, 5, 631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2594\/43 - 210401\/3440. Calculate the common denominator of -99\/128 and a.\nAnswer: 640","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1329*k + 2853*k - 458*k + (3*k - 2*k - 2*k)*(-7 + 3 + 3))*(2*k + 2 - 2 + k - k - 2*k - 3*k + 2*k + 3*k + (-3*k + 0*k + 2*k)*(-3 + 1 + 0)).\nAnswer: 4268*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*n**2 - 4*n**2 + 66*n**2.\nAnswer: 66*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.038335 millimeters to micrometers.\nAnswer: 38.335","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) be the first derivative of -z**4\/16 - 39*z**3\/4 - 405*z**2 + 2700*z - 565. Suppose x(o) = 0. What is o?\nAnswer: -60, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = w + 30*b - 27*b + 6, 4*w - 9 = -b. Let a(q) = q**2 - 2. Give a(w).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + x - 46 = -2*c, 26 = c + 3*x. Solve -3*d + c = 2*d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 16, -0.4, -2.\nAnswer: -2, -0.4, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11*z + 8*z - 8*z + (z + 2 - 2)*(-2 + 1 + 3))*(-94 - 77 + 55).\nAnswer: -1508*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 1 - 15 = 0. Suppose q - 4*q + 5*u - m = 0, -4*q + 4*u - 8 = 0. Let a = -0.09 - -2.09. What is the smallest value in q, 1\/7, a?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 337423 is divided by 5112.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Add -2183 and 4866807.7.\nAnswer: 4864624.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.2037354 millilitres?\nAnswer: 0.0002037354","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 184044788 is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -3*h**3 - 2*h**2 - 3*h + 3. Suppose -2*x + 2 = o, 4*o = 5*x + 12 - 4. Let r be (0 - o) + 4\/(-4). What are the prime factors of z(r)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 54754433 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 109*a = 93*a - 13568. Let n = 2540\/3 + a. Sort n, 2\/3, -0.05.\nAnswer: n, -0.05, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 5*m**3 + 20*m**2 + 18*m + 4. Let u(r) = -r**3 - r**2 + 1. Let x(c) = n(c) + 6*u(c). Let k be x(15). Calculate the highest common divisor of k and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6286 - 4604. What is the least common multiple of 8 and j?\nAnswer: 6728","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 7 and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/(-90)*50\/(-2)?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.49 from 0.6646139.\nAnswer: 0.1746139","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 267774*a. Let i(r) = -128*r**2. Give o(i(x)).\nAnswer: -34275072*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (1*-2)\/(4 - 2). Let m be g - (-6 + 0 + 1). Find the third derivative of m*b**5 - 5*b**5 - b**5 + 7*b**2 - 4*b**2 wrt b.\nAnswer: -120*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -88 times 0.1\nAnswer: -8.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pg when two letters picked without replacement from {v: 1, g: 2, p: 14}?\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.28 (b) 0.4 (c) -185 (d) 2\/9 (e) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 159 minutes after 5:51 PM?\nAnswer: 8:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 67 - 289 = 0. Let o = n + 91. Let b = o - 214. Is 21 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 6, p: 2, h: 1, q: 9}. What is prob of sequence pl?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 62122503 is divided by 1515183?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.52981 (b) 4 (c) 1.65\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 15748019 by 139363.\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3 - 3. Suppose -4*n - 19 = -33 - 22, 2*o + 51 = 3*n. Put o, q, 2 in descending order.\nAnswer: 2, q, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-4))**(-2\/71)*(x\/((x*x**(1\/7))\/x)*x*x)\/(x**(-3\/4)\/x) assuming x is positive.\nAnswer: x**(9383\/1988)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -18538*f**3*x**2 - 11081947*f**3 + 407*x**2 wrt x?\nAnswer: -37076*f**3*x + 814*x","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3*l**2 + l*r + 6173*l - 17839*r wrt l?\nAnswer: -6*l + r + 6173","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 453 - 17585 = -4*l. Suppose 22*x - 26*x + 44 = 0. Suppose x = -2*w + 5, 5*w = 4*c - l. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1117 - -1777. Calculate the least common multiple of d and 21.\nAnswer: 4620","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = s**2 + 8*s - 55. Let j be k(-15). Solve 30 = 5*v + j for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 3*c**3 + 7*c**2 + 2*c + 4. Determine d(-3).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 557, 726, 1181, 2066, 3525, 5702?\nAnswer: 8741","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 557365?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 100374, 100373, 100372, 100371, 100370?\n\"Answer: -f + 100375","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -14210002 + 4?\nAnswer: -14205554","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 274b (base 14) in base 6?\nAnswer: 52023","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kpkhkypkkyykypy. Give prob of picking 2 y.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 150697?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p**(-23)*p)**(-21)*p**(-5\/4)*(p*p**(1\/2))\/p assuming p is positive.\nAnswer: p**(1761\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -49\/572 and 73\/2956?\nAnswer: 422708","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 192 - 82?\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:23 PM and 7:20 AM?\nAnswer: 597","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 803867 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 125731 to the nearest integer?\nAnswer: 355","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 204667654?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -y - 2. Let h(t) = t**2 + 5*t + 10. Let x(q) = -5*b(q) - h(q). Let v(s) = 4*s**2. What is x(v(f))?\nAnswer: -16*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/4*j**2 + 7\/4*j + 3.\nAnswer: (j + 3)*(j + 4)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 25254, 25252, 25250, 25248?\nAnswer: 25246","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-3)\/5 + (-2)\/5. Suppose 5*p = 6*n - 2*n - 41, -n = -3*p - 19. Let l be 3\/9*p*3. Sort o, l, -2 in ascending order.\nAnswer: l, -2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*m**4*y - 155*m**4 - 4*m**3 + 2*m - 13591*y wrt m.\nAnswer: -24*m**2*y - 1860*m**2 - 24*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 238 and 12610430?\nAnswer: 12610430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -8\/5? (a) -53 (b) 1 (c) 30 (d) -0.3 (e) -25\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -7 - -5. Suppose 3*p + u = 11, -2*p = 3*u - 30 + 11. Let x = m + p. Solve x*q - 10 = 2*q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-1\/21))**(1\/26)\/(h**(-2\/41))**(-9\/8))**(5\/6) assuming h is positive.\nAnswer: h**(-12695\/268632)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve d + 12 = -3*d - 4*b, 0 = -d - 3*b - 13 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -2*n**2. Let j(g) = g**2 - 37 + 0*g**2 + 37. What is j(b(h))?\nAnswer: 4*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -560656*f**2*m**4 + 106*f**2*m + 307*f**2 - 10*f + 300 wrt m?\nAnswer: -2242624*f**2*m**3 + 106*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1*-7 + 24\/20*22330\/44 is divided by 65.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = o + 2. Let v be k(-1). Let w(t) = -10*t**2 - t. Calculate w(v).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 46 - 37. What is the first derivative of 5 + 41*k + v + 12 wrt k?\nAnswer: 41","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 13 (b) 341 (c) -0.4 (d) -4.67\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 5*h**2 + 41*h + 252. Let k be v(-7). Calculate the highest common divisor of 540 and k.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -6878442 and -6878447 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) be the first derivative of -a**3\/3 - 1. Let t(k) = 4*k - 68*k + 24*k + 17*k. Give t(m(p)).\nAnswer: 23*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(-2)*-75*(-2)\/(-5).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -9.1 - -0.1. Let b = o - -4. What is the second biggest value in 1, -4\/7, b?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j - 2*t + 11 = 0, -7*t - 10*t = 40*j + 52*j - 2*t - 13*t + 262 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 205 and 1215.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -716 + 1c530?\nAnswer: 1bb17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 865*h - 420*h - 512408 - 294256 = 7057*h for h.\nAnswer: -122","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 14, 34, -2 in descending order.\nAnswer: 34, 14, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7063 (base 11) to base 5.\nAnswer: -300021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -25004.979 less than 174?\nAnswer: 25178.979","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -10 + 6. Let x = 152164\/3 + -50722. Which is the smallest value? (a) x (b) -15 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -384.8545 + 385. Let q = -0.0545 - w. Sort 41\/3, q, -2.\nAnswer: -2, q, 41\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aaaaddaawaoalaao. Give prob of picking 1 l, 1 o, and 1 d.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 333285 (base 9) in base 10?\nAnswer: 199256","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*m - 42*m = -180. What is the tens digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5817945248 to the power of 1\/5, to the nearest integer?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/5, 10, 2, -2\/6829, 3 in descending order.\nAnswer: 10, 3, 2, 1\/5, -2\/6829","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 266944781 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dpid when four letters picked without replacement from {i: 1, p: 1, n: 1, d: 2}.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-28)\/1680*-5 + 2186\/(-24) + 19.\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4697*d**6 + 2*d**5 - 159*d**2 wrt d?\nAnswer: 563640*d**3 + 120*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t + 4 = -s, t - 3*s + 1 - 3 = 0 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 29*f - 45145 + 46102 for f.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 3 (b) 1\/3 (c) -3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r**2\/6 + 6623*r\/3 = 0. Calculate r.\nAnswer: -13246, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + x + 4)*(7 - 17 - 34).\nAnswer: -44*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*g + 5181*g**2 - 9722*g**2 + 4538*g**2.\nAnswer: -3*g**2 - 2*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 8, r: 3}. What is prob of sequence oro?\nAnswer: 28\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 333*c**2*g - 297*c**2 + 6*c*g + 3*c + 7293890*g wrt c?\nAnswer: 666*c*g - 594*c + 6*g + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 616*s**2*z**2 + s**2*z - 3*s**2 + 4803*s*z**2 + 4*z**2 wrt s.\nAnswer: 1232*z**2 + 2*z - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -396868*s**3 - 44*s**2 - 36372064.\nAnswer: -1190604*s**2 - 88*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*m + 3*m + 8*m**3 - 29*m**3.\nAnswer: -21*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -a**3 + 9*a**2 + a - 4. Let v be g(9). Suppose 0 = 5*h - h - 4*c, 0 = 3*h - v*c. Suppose 5*u - 3 - 17 = h. What are the prime factors of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2\/109 - -192\/1417. Is m at most 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 1554, 3143, 4764, 6417, 8102?\n\"Answer: 16*c**2 + 1541*c - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 29479122341 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 73592*o**3 + 40839*o**3 - 147488*o**3.\nAnswer: -33057*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (-14 - (-34 + 18)) + 6\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6.1 - -1.9. Let p = -2006252 - -2006259.999912. Let q = u - p. What is q rounded to five dps?\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.33 in 0.6, -1\/2, 524, 0.03?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lllmmlmlll. What is prob of picking 3 m?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -6.8 - -7. Let p = 0.3 + -0.5. Let s = -0.3 - p. Is s bigger than b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 107301*i**2*t**4 + 298*i**2 - 7*i*t**4 + 595*i wrt t?\nAnswer: 429204*i**2*t**3 - 28*i*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 369141786.\nAnswer: 2, 3, 13, 58427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.11, 179, -2\/3, -3\/5 in increasing order.\nAnswer: -2\/3, -3\/5, 0.11, 179","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1101111001 - 100101100111?\nAnswer: -110011100000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = -5*k + 2*j - 23, -4*k - 5*j = 60. Let b be 279\/(-12) + (-2)\/(-2). Let i = b - -22. Is k at most as big as i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*c = 331 - 221. Are -17 and c unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-3 + 4 + 5)*(-3 + 2 + 4)*(3*d - 5*d + 5*d) + (0 + 0 - 2*d)*(-3 + 2 + 2))*(1 - 2*d**2 - 1) to h*d**2 + g + r*d + s*d**3 and give s.\nAnswer: -104","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1 - -24 - 0 - -4. Let o = 29 - d. Suppose 0 = -o*q + 5*q - 290. What is the units digit of q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 206094 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(75)\/(sqrt(40)\/sqrt(8)))\/(2*sqrt(12))*-4)**2.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 1 - m**2 + 2 - m**3 - 3*m**2 + 2*m**3 - 6*m. Let p be i(5). Let u be 0*3*p\/(-6). Solve 4*h + u = 16 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12790874.\nAnswer: 2, 6395437","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -12*u - 83. Let f be (2\/(-6))\/(1\/39). What is the units digit of x(f)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vvdvmywywv. What is prob of picking 3 v and 1 d?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -48460*r**3*u - 620*r**3 - 2*r - 2 wrt u?\nAnswer: -48460*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 4*p - 13. Determine y(6).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sum -1660 and 8920.6.\nAnswer: 7260.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand -72*b**4 + 62*b**4 - b**2 + 0*b**4 + (0*b + 0*b + b)*(0*b**3 - b**3 + 2*b**3).\nAnswer: -9*b**4 - b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 601.4829 millimeters in centimeters?\nAnswer: 60.14829","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 439091376 to the nearest integer?\nAnswer: 760","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -449\/6 at most -76?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 191 minutes before 2:49 PM?\nAnswer: 11:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4671799064.\nAnswer: 2, 1721, 339323","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -414*r**2. Let n(y) = -y. What is k(n(w))?\nAnswer: -414*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 133487850?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-14)\/4)\/(1\/2). Let q(p) = p - 2. Suppose 4*n - 53 = r, 3*r - 12 + 54 = 3*n. Let h(s) = 9*s - 2 + 5*s - n*s. Calculate v*q(u) + 6*h(u).\nAnswer: -u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3\/20 + -2\/5. Let m = 0.023 - 2.723. Let g = 1.3 - m. Which is the nearest to 0? (a) 1 (b) g (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2636880 - 17036880 = 4*p. Round p to the nearest one hundred thousand.\nAnswer: -3600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -0.13 (b) 2 (c) -58.8 (d) -9 (e) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is (-39)\/2*(-48)\/18 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1 - -59?\nAnswer: 5a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 975?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of j**2*m + 703*j**2 - 59*j*m - 2 wrt m?\nAnswer: j**2 - 59*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2998)\/(-230846))\/(6\/63).\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r, 2 e, and 1 i when four letters picked without replacement from rrrerieirreeirire.\nAnswer: 16\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 45? (a) -2\/3 (b) -5 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -33\/1400 and 129\/2128600.\nAnswer: 14900200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -z**2 - 6*z + 15. Suppose 288 = -28*f - 8*f. Calculate j(f).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + 5 + 9 + 1?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3 + b20b9?\nAnswer: b20b6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a litre in millilitres?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 22*j**2 + j**3 - 20*j**2 + 24*j**2 + (-4*j**2 + 3*j**2 + 5*j**2)*(j - 2*j - j).\nAnswer: -7*j**3 + 26*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -145, -174, -231, -322, -453, -630?\nAnswer: -859","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -191705 by -38341.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -5215, -5232, -5249, -5266?\n\"Answer: -17*y - 5198","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (6 - 6\/3) + -2*2\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 314\/12 - (-3)\/(-18). Suppose 67 + k = 3*u. Solve 5*y = 6 - u for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 431 + 75. Suppose 3*m - 3*a - 46 = z, -196 = -m + 4*a. What are the prime factors of m?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -356545.879 to the nearest 10.\nAnswer: -356550","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 68270097 is divided by 1853?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide -418263114 by -69710519.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -8\/39 in -2\/5, 2.405, 0.5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1130221 - 10?\nAnswer: 1130211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1014445 + 1532?\nAnswer: -1012513","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -l**3 + 3*l**2 + 5*l + 5. Let b = -34 - -39. Give d(b).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2 - -294.65.\nAnswer: 294.85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -938029*o**3 - 3*o**2 + 2*o + 7. Let l be f(-3). Suppose -6726757 = -2*h - l. Round h to the nearest 1000000.\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) be the first derivative of -n**2 + 5*n - 4. Let p(u) = u. Let d(q) = -p(q) + s(q). Let m(t) = -7*t + 11. Let c(r) = -9*d(r) + 4*m(r). What is c(6)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) be the first derivative of -h**2 - 9*h + 2. Let d(m) = m + 4. Suppose -12 - 15 = -3*x. What is x*d(j) + 4*s(j)?\nAnswer: j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48*d = 34*d - 12880. Calculate the common denominator of -28\/9 and (-340)\/d*4\/6.\nAnswer: 207","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k = 3*h - 10, 2*k - 815*h = -812*h - 26 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2 + (-3 - -5) + -3. Let w(m) = m**3 + 2*m**2 - 5*m - 2. Let a be w(-3). Let r = a - b. List the prime factors of r.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.5 (b) -0.3 (c) 33 (d) -5 (e) -9 (f) -0.21\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -23*v**2 + 4*v - 3. Let h be z(-2). Let k = h + 107. Suppose 0 = -2*c + k*c + 4*s + 4, 4*c - 42 = 2*s. Is 9 != c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) be the second derivative of -27*i + 1\/140*i**5 + 0*i**2 - 2\/21*i**3 + 1\/28*i**4 + 0. Determine t so that r(t) = 0.\nAnswer: -4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -17\/956 and -17\/3498?\nAnswer: 1672044","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 25845 = -5*t, -23*t - 2*k + 25850 = -18*t. Is t a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 14 + -9. Let t(m) = 5*m**2 - 2*m - 7. Let p(c) = 6*c**2 - 2*c - 7. Let q(y) = -2*p(y) + 3*t(y). What are the prime factors of q(l)?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = 24 - 120. Let b = g - 24. Let s(j) = j**3 + j**2 + j - 5. Determine s(b).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -34 + (-39 + 40 - (21 + -2)).\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 178*q**2 - 20*q - 5 wrt q.\nAnswer: 356","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.1, -2, 273, 0.4, 0?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3 + -2. Let p = -245 + 247. Which is the biggest value? (a) -0.5 (b) t (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -95667*h - 10. Let d be a(-30). Round d to the nearest one hundred thousand.\nAnswer: 2900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1485 = q - 4*q. Suppose -354 = -m - 3*k, -2*k + 588 = 3*m - q. Is m a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 616 and 420?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 14 + 29*q - 18 + 20*q + 41. Is 25 a factor of u(3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -25251 or -30264?\nAnswer: -25251","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 831041441 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a microgram in nanograms?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 4*v**3 + 3*v**2 + 3*v + 1. Determine r(-2).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -5*p - 18. Give m(-5).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 285, 5, 159, -1, 8 in decreasing order.\nAnswer: 285, 159, 8, 5, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*(1 + 3 - 3)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 38811?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) be the second derivative of 0*b**3 + 5\/12*b**4 + 1\/5*b**5 + 0 + 0*b**2 - 4*b. What is the third derivative of o(h) wrt h?\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -2*b - 16. Let n(r) = 2747*r. Determine n(s(g)).\nAnswer: -5494*g - 43952","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 130763.7915 minus -1.5?\nAnswer: 130765.2915","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -0.4, -4\/23, 3 in ascending order.\nAnswer: -2, -0.4, -4\/23, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 266 = 338. Put l, 4, 1 in increasing order.\nAnswer: l, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -328, -1286, -2868, -5062, -7856?\nAnswer: -11238","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 499, 2051, 4639, 8263, 12923, 18619?\nAnswer: 25351","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26021*k = 139092 + 433370 for k.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -27637, -55438, -83231, -111016, -138793, -166562?\nAnswer: -194323","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -45, -1071, -3841, -9219, -18069, -31255, -49641?\n\"Answer: -144*h**3 - 8*h**2 + 6*h + 101","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -114*g**2 + 146*g - 20. Let h(o) = 38*o**2 - 49*o + 7. Let c(m) = -17*h(m) - 6*x(m). Is c(-8) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 660 minutes after 3:54 PM?\nAnswer: 2:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does -14\/2477 = 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/4 >= 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5*-1827.01.\nAnswer: 9135.05","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ww when two letters picked without replacement from {w: 4, p: 3}?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 1464*z - 27898. Calculate l(19).\nAnswer: -82","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 404420131 (base 5) in base 7?\nAnswer: 16633550","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24 + 111 = 188*p - 101 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 5\/3523?\nAnswer: 5\/3523","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 702 minutes after 4:35 AM?\nAnswer: 4:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -126 divided by 42\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -37 + 17 + 20 - 4900*j**3.\nAnswer: -4900*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6705, -6776, -6847, -6918?\nAnswer: -6989","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w**3 - 425*w**2 - 7430*w - 18600 = 0.\nAnswer: -62, -20, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 470 is divided by 119.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3.6 and 19.32768.\nAnswer: -69.579648","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 47\/3198 and 42\/169?\nAnswer: 41574","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 172 a factor of 75379?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*l**3 - 605*l**2 - 10775*l + 11385.\nAnswer: -5*(l - 1)*(l + 23)*(l + 99)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, 13, 5, 750\/43.\nAnswer: -0.2, 5, 13, 750\/43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*c**2 + c**2 - 2*c**2)*(1 + 3 - 3) - 21*c**2 - 34*c**2 + 54*c**2 - 280*c as u + h*c**2 + l*c and give h.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000011293198 rounded to seven decimal places?\nAnswer: -0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 d when three letters picked without replacement from vidddwppddddddpwdnd?\nAnswer: 55\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2579\/40 + -313\/5. Let d(w) be the first derivative of 4 + 5\/4*w - 5\/16*w**4 + 5\/4*w**3 - c*w**2. Find o, given that d(o) = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*p = 9*p - 21. Let b = -6 + 4. Sort p, -1, b in decreasing order.\nAnswer: -1, b, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = -3*w + 20, 26*q = 23*q + 3*w - 6. Let l(r) = r - 1. Let c be l(3). Solve -2*m + 0 - 2 = 0, -4 = -q*k + c*m for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 42354 divided by 6\nAnswer: 7059","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 b when two letters picked without replacement from ebuiib.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6318*l**5*o**2 - 14003*l**3*o**3 + 3*l**2*o**3 + 8600104*l**2*o**2 wrt l.\nAnswer: 379080*l**2*o**2 - 84018*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*g - 4*g + 3*g)*(-2 - g**3 + 2) - 6*g**4 - 2*g**4 - 19*g**4 as j + l*g**4 + i*g + h*g**2 + r*g**3 and give l.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 93144585?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -21 + 20. What is the closest to -1\/2 in 5, -5, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 89996 less than 0.297?\nAnswer: -89995.703","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 - -16524426099?\nAnswer: 16524426104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -1\/5, 16\/3, 209.9, 0.1?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -8224, -8223, -8222?\n\"Answer: v - 8225","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8629.\nAnswer: 8629","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -209.6369 to the nearest integer.\nAnswer: -210","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 127803 and -0.43?\nAnswer: -54955.29","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 1, c: 2, q: 1, n: 6, x: 2}. Give prob of picking 2 n and 2 x.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 0.95 (b) 4 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3132718?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) be the second derivative of -3*m**5\/40 + 91*m**4\/8 - 45*m**3\/2 + 7068*m. Solve q(u) = 0 for u.\nAnswer: 0, 1, 90","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 81 = -4*t - 95. Let m be (2\/4)\/(55\/t). Which is smaller: -1 or m?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -93 + 158. Let f = 96 - w. Let s = f - 15. Solve s - 6 = 5*u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14679363 to the power of 1\/3, to the nearest integer?\nAnswer: 245","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*w + w + 2*w)*(2 + 3*w - 2) + (-1 + w + 1)*(-2*w - 2*w + w).\nAnswer: -9*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 7) in base 14?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-3\/23)*p**(-2\/3))**(-1\/9))**(-23) assuming p is positive.\nAnswer: p**(-55\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -258607 to the nearest ten thousand.\nAnswer: -260000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.821701g in milligrams?\nAnswer: 8821.701","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 180 and 23475?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*k + 5*k - 3*k + 2*k**3.\nAnswer: 2*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 17800144?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1d + -1?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 2*k - 292 = 0, u - 8*k - 64 = -9*k. Is u a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -4 + -171?\nAnswer: -175","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 178*r - 95*r - 81*r.\nAnswer: 2*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 36\/297*(-27)\/(-4). What is the nearest to -8 in -1, -2\/5, g?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -21 + 256. Let c = j - 150. What is the tens digit of c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-82)\/24)\/(1315\/60 + 594\/(-27)).\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 3, v: 2, z: 3}. What is prob of picking 1 z and 1 f?\nAnswer: 9\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -33.9, -2\/37995, -0.2?\nAnswer: -2\/37995","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -706580 + -2007\nAnswer: -708587","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s + 53 = -3*w, -7*s - 5*w = -8*s + 15 for s.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4\/965 + -283\/3088. Let k = -877\/880 - q. Which is smaller: 0 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -4*f**3 - 8*f**2 + 5*f - 8. Let c(y) = -2*y**3 - 3*y**2 + 2*y - 3. Let o(b) = -11*c(b) + 4*t(b). Determine o(1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1022210120121 (base 3) to base 8.\nAnswer: -2540173","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 61*j + 71719 - 914312. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2258 - -1?\nAnswer: 2259","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that 0*t**4 - 8*t**4 - t**5 + 4*t - 2*t**5 - t**5 + 8*t**2 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 938.0297um?\nAnswer: 0.0009380297","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -88, -182, -276, -370, -464?\nAnswer: -558","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -7*z**2 - 9*z + 3. Let f(b) = b**2 + 8*b - 4. Let p be f(-8). Let g be 8\/((-1)\/4*p). Let x(j) = -11*j**2 - 14*j + 5. Determine g*t(r) - 5*x(r).\nAnswer: -r**2 - 2*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 30 and 911300?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-68)\/(-680) - 11558\/(-20). Let p = z + -532. Solve -11*x + 9 = -p for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in 1.9, 517, 33?\nAnswer: 1.9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 255663.\nAnswer: 3, 17, 557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 14 = 10. Suppose 0*q + a*q - 10096 = 0. Suppose 8*g = -46 + q. List the prime factors of g.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a tonne in kilograms?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a gram in milligrams?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 3, z: 3}. Give prob of picking 3 z and 1 k.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 4068 divided by 4\nAnswer: 1017","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = -3*b - 5*f, b - 1 = -f + 3 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 17392*g**4 + 2*g**2 + 10*g + 104 wrt g.\nAnswer: 417408*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*r + 1671*r + 20316 = 0 for r.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.2 - 315112.7?\nAnswer: -315106.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -177*g + 13*g - 194 - 626 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 2, q: 1, e: 3, s: 2, c: 9}. Give prob of sequence dce.\nAnswer: 9\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 2483*w + 7447. Calculate t(-3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 31\/1757 and -4\/5?\nAnswer: 8785","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + 2 + (59 + -29 + -117 - (0 - -7))?\nAnswer: -88","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 171210.522079 - 171337.522. Let a = -126.835 - 0.165. Let x = m - a. What is x rounded to five decimal places?\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*j**3 - 3*j**3 + 0*j**3)*(-1 + 2 - 4) + (3*j**3 - 5*j**3 + 3*j**3)*(-6 + 1 + 3)*(15 - 22 - 32).\nAnswer: 72*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -38*y**2. Let g(k) = 1206*k**2. Calculate c(g(s)).\nAnswer: -55268568*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -24024 - 1?\nAnswer: -24025","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:19 AM and 4:51 PM?\nAnswer: 332","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 33 - 237 = 3*y, -4*y + 349 = 5*b. Let q = -40 + b. What is the units digit of q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 25\/(-10)*96\/315. Is a at most -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-56)\/(-30) + 4\/30. Suppose 3*o - 3*v - 18 = -r*v, 24 = 4*o - v. Calculate the remainder when 15 is divided by o.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 112 = 4*m + 8*w, 0 = -m + 4*w - 7. Let l = 44 - m. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8 - 3084*t**2 + 6170*t**2 - 3090*t**2.\nAnswer: -4*t**2 - 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 27087675?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -52*s + 354. Let u be k(7). Sort u, -8, -4, -0.3.\nAnswer: u, -8, -4, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2941.585 - -2811.6059. Let o = q + 130. What is o rounded to three dps?\nAnswer: 0.021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -562, 0, -3 in decreasing order.\nAnswer: 0, -3, -562","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 21825, 21828, 21833, 21840, 21849, 21860, 21873?\nAnswer: 21888","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) be the second derivative of 26*d + 10\/3*d**3 - 5\/2*d**4 + 0 + 0*d**2. Find the second derivative of k(y) wrt y.\nAnswer: -60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:25 PM and 10:14 PM?\nAnswer: 589","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11*m**3 - 9*m**5 + 11*m**3)*(109 - 79 + 95)*(1 + 1 - 3).\nAnswer: 1125*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 157\/60 and 107\/44.\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -134 + 134 + 2*b.\nAnswer: 2*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (2 - -1)\/(1 + 0). Suppose -765 = -f*g + x - 0*x, 5*x + 1285 = 5*g. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -1614*w**2. Let y(x) = -6*x. Calculate y(g(u)).\nAnswer: 9684*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ddvvvdddvv. What is prob of sequence dv?\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 44505271 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2312040 is divided by 22228?\nAnswer: 328","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 6, r: 1, j: 2, d: 2, w: 6}. Give prob of picking 2 v and 1 r.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4)\/6 - 77\/(-3). Suppose -3*k + 5*p = -9, -191*k - 3*p = -195*k + 12. Suppose -k*g = -8*g + n. Calculate the remainder when 18 is divided by g.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -195 divided by -3?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 107764217?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 118236250?\nAnswer: 2, 5, 11, 8599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) be the first derivative of w**3\/7 + 3879*w**2\/7 + 5015547*w\/7 + 4320. Let h(b) = 0. What is b?\nAnswer: -1293","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 90 is divided by 41?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -1472 at most -2028?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put together 1774987652.766 and -58.\nAnswer: 1774987594.766","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 6 - o + o**2 + 1 - 3*o. What are the prime factors of y(5)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -160.00001792 - -160. Round u to 6 decimal places.\nAnswer: -0.000018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -15*r**2 - 540*r - 3041. Let z be h(-7). Let i = -34 + 48. Solve 0 = 4*s + 3*d - 11, 0 = z*s - 2*d + i for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 3 + 4)*(81*v + 88685 - 88685 + (-2 + 0 + 1)*(2*v - 2*v - 2*v)).\nAnswer: 166*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 4*r = -7*t + 76, 5*t - r - 107 = 0. Let q = 16 + t. Suppose -q = -2*u - 2. Is 5 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20118 is divided by 523?\nAnswer: 244","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3854307908?\nAnswer: 2, 11, 37, 2367511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1.656 - -0.056. Let c = -1.652 - d. What is c rounded to 2 dps?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 682566237?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -41, -100, -171, -260, -373, -516, -695, -916?\nAnswer: -1185","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3240*g - 3144*g - 243 + 1395 for g.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2040992787 to the power of 1\/3, to the nearest integer?\nAnswer: 1268","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33*f**2 + 14919*f - 14919*f.\nAnswer: -33*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3556\/61341)\/((-2)\/1).\nAnswer: -2\/69","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*a + 0*a + a)*(42*a + 52*a - 10*a)*(-7*a**2 - 6*a**3 + 7*a**2).\nAnswer: 504*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 80771.\nAnswer: 37, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 28.62723 to two decimal places.\nAnswer: 28.63","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 a and 1 v when four letters picked without replacement from {c: 1, v: 6, a: 9, s: 1, z: 1, o: 2}?\nAnswer: 168\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 248 divide 82735?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:53 PM and 5:10 AM?\nAnswer: 677","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2250718*o + 18*o**2 - 2250718*o.\nAnswer: 18*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 55\/127 bigger than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -6 - -6. Suppose -2*u = -2*v + 3*u + 15, b = v + 5*u. Put v, 4, 2 in descending order.\nAnswer: v, 4, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 186?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 11846 + 2846 = 0. What is i rounded to the nearest 1000?\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4416 and 89\/(3026\/(-204)) - (-741 + -1).\nAnswer: 4416","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 72 + -92. Let w be 2025\/l + 4 - 1\/(-4). Let d = w + 166. What is the units digit of d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*sqrt(175) + 5 + 1 + -2*sqrt(175) + -2*((sqrt(175) - (sqrt(175) + 2))**2 - sqrt(175)) + sqrt(175) + (-4 + -2 + sqrt(175) + sqrt(175))**2.\nAnswer: -110*sqrt(7) + 734","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*w**2\/9 - 798524*w\/9 - 233339536\/9.\nAnswer: 2*(w - 399554)*(w + 292)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 29cc65 (base 13) in base 6?\nAnswer: 34011434","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -z**3 + 4*z**2 + 6*z + 1. Calculate l(5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 669 is divided by 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7\/8 - -59\/24. Suppose -6 = -2*m + 2. Is m smaller than n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3 + -1d09b?\nAnswer: -1d098","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 142013?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 65, 137, 209, 281, 353, 425?\nAnswer: 497","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 42 = -2*t. Let v(y) = -3*y**2 - 3*y - 7. Let m be v(t). What are the prime factors of m\/(-5) - (-60)\/(-100)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -3*v**2. Suppose 45 = 4*t - u, 5*u + 6 = -19. Let x = t + -7. Let h(p) = p**2 - x*p**2 + 0*p**2. Calculate h(j(c)).\nAnswer: -18*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) be the third derivative of 0*a**4 + 1\/90*a**6 - a**2 + 0*a + 1\/315*a**7 + 0*a**5 + 0*a**3 - 1\/168*a**8 + 0. Factor o(b).\nAnswer: -2*b**3*(b - 1)*(3*b + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7716427?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -6830 - 2?\nAnswer: -6832","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 60 and 27?\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 5*l, 0 = 3*n - 2*n - 2*l + 9. Let j be (-45)\/(-10) - n\/(-2). Suppose j*q = 3*q + 205. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18598727 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -602, -628, -670, -734, -826?\n\"Answer: -t**3 - 2*t**2 - 13*t - 586","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 7494, 8444, 9494, 10644?\n\"Answer: 50*u**2 + 800*u + 6644","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 71402385*m**3 + 817846*m - 2 wrt m.\nAnswer: 428414310*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1127*k + 29272 + 60991 - 25535 + 26559 for k.\nAnswer: -81","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (6\/(-24))\/(-4*9\/18). What is the closest to -0.3 in 2\/21, j, 5?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -110 + 174. Let j be (-2)\/3*(-7 + 1). Suppose -3*r + i = -j*i - 455, -r + 135 = -5*i. What is the highest common divisor of g and r?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (2\/(-4))\/((-98)\/126 + 16\/(-72)). What is the closest to 2\/57 in j, -1\/6, -4?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -5 and -4.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 40.0145 - -0.0855. Let g = -5.1 + v. Let d = g - 41.8. What is d rounded to the nearest integer?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 119 + 90. Let a = 414 - v. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 2*c = 589, 0*c - 762 = -4*u + 2*c. Suppose -3*j + u = 67. What is the units digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 43085590?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10770 is divided by 469?\nAnswer: 452","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16821 is divided by 3938.\nAnswer: 1069","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 394 minutes after 11:08 AM?\nAnswer: 5:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 3.311837 hours?\nAnswer: 11922613200000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.03 and -13.\nAnswer: -13.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -457\/19 or -23?\nAnswer: -457\/19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 38 and 12806?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-2*sqrt(896) - sqrt(896)) + sqrt(896))*-6)\/(sqrt(12)\/((sqrt(168)\/sqrt(4) + sqrt(42) + sqrt(42))\/sqrt(7))).\nAnswer: 288*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 10 - 16 - (-1 - -4)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -2*n**3 + 38*n**2 + 694*n - 578. What is h(-12)?\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -8 and -601837.\nAnswer: 4814696","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -269*c**2 - 10293*c - 21932. Determine r(-36).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 2 a when three letters picked without replacement from ollllollooaalllall?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -1206*p - 3607. Determine g(-3).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2021 - -1010?\nAnswer: 10101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 2032 a factor of 477944688?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1869 and 2136?\nAnswer: 14952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 18*c**2 - 3*c + 7. Let b(a) = -6*a**2 + a - 2. Let q(k) = -7*b(k) - 2*w(k). What are the prime factors of q(-2)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0 (b) 101 (c) 4\/3 (d) -2\/5 (e) -5\/6 (f) -58\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 955, -3, -6.2?\nAnswer: 955","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1 + 5. Let s = w - 6. Sort -4, s, -2 in descending order.\nAnswer: s, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 21 - 9. Let t(y) = -17*y**2 - 19*y**2 + 6 + 55*y**2 - y**3 - 6*y - x*y**2. Calculate t(6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 5\/4, 2\/19, 1\/5, -2\/31, -4, 1?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4*(-2)\/(-42)*(-336)\/288?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = k**3 - 4*k**2 - 55*k + 52. Determine p(9).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((4 - 4 - 1)*(3 - 2*a - 3) + 7*a - 2*a - 3*a)*(2 - 2 + 2*a**3)*(-a + a - a).\nAnswer: -8*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = v**2 + 11*v + 4. Let y be k(-11). Solve y*g - 3*i - 14 = 0, 3*g - 5*i = -2*g + 15 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5.9 + 5.898. Let s = f + -0.019. Round s to two dps.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 396 + -282. Let d = 108.7 - m. What is d rounded to 0 dps?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:23 AM and 7:22 AM?\nAnswer: 419","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*sqrt(1100) + 3*sqrt(99)\/sqrt(9).\nAnswer: 23*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fzqqfoffzqcc. What is prob of sequence cq?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-90)\/(-21))\/(6\/21). Suppose -n = -2*o - 82800002, 5*n = -5 + m. Round o to the nearest one million.\nAnswer: -41000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -2*p**3 - 5*p**2 + p - 7. Let l(n) = -2481 + 4*n**2 + 2488 - 243*n**3 + 0*n**2 + 245*n**3. Calculate -2*c(m) - 3*l(m).\nAnswer: -2*m**3 - 2*m**2 - 2*m - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 14\/(-3)*-14*405\/756\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (h**3 - h**3 + 3*h**3)*(0 + 2 + 1) + 38*h**3 - 14*h**3 + 28*h**3.\nAnswer: 61*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*d**3 + d**3 + 2*d**3 + 1 - 1 - d**3 + (2*d + 0 + 0)*(2*d**2 + 1 - 1) + 2*d**3 - 2*d**2 + 2*d**2 + 5*d**3 + 0*d**3 - 3*d**3.\nAnswer: 6*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.7 + -4.3. Let x = -12128 + 12172. Let j = 3 - 1. What is the biggest value in j, l, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/((-1)\/(-1))*(-117 - -115)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -271 - 8?\nAnswer: -279","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 35030?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1919 is divided by 242?\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 59\/2 at most as big as 6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 140, -4, 23, 2, 54 in descending order.\nAnswer: 140, 54, 23, 2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(2\/9))**(-33) assuming x is positive.\nAnswer: x**(-22\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -583 divided by 829.\nAnswer: -583\/829","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 247\/6 - 41. Let n(j) = -j**2 - j + 1. Let r be n(2). Which is the third smallest value? (a) f (b) r (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -532 less than -4786\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (123\/2)\/(120\/(-100)). Let v(k) = -k**3 + 8*k**2 - 3*k - 9. Let a be v(5). Let r = a + g. What is the nearest to 0.1 in 0.07, r, -2?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = n + 2. Let o be r(-4). Let y(m) = m**3 + 3*m**2 - m - 1. Let c be y(o). Sort c, 2, -5 in descending order.\nAnswer: c, 2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*k + 2*k - 5*m + 89, -k = -m - 27. What is the units digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3666\/77 - -332\/7. What is the smallest value in r, 1\/2, 3, 0.07?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*(u\/u**1)\/u*u)**(-17)*u**7*u**(-3) assuming u is positive.\nAnswer: u**(-13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7 - 7) + -8 + 14.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -8, -17554, 5 in increasing order.\nAnswer: -17554, -8, -3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -c**2*p**3*t + 16*c**2*p**2*t**2 - 68387*c*p**3*t**3 - 11497*c*p**2*t**2 - t**3 wrt p.\nAnswer: -6*c**2*t - 410322*c*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 685 minutes after 4:59 PM?\nAnswer: 4:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = -2*j + 20, -1 + 17 = 2*f + j. Solve -s + f = s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 13, 46, 103, 196, 337, 538?\nAnswer: 811","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 381*m**4 - 63*m**4 + 575*m**4 + (0 + 2*m + 0)*(2 - 2*m**3 - 2).\nAnswer: 889*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vbhnephv. What is prob of picking 1 p and 2 h?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2 - -3)*-1*4. Suppose 3*q - 7*q + 4 = 0. Let t be 1\/((100\/(-15))\/(-10))*-2. Sort q, t, s, -7.\nAnswer: -7, s, t, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 28 and 74968?\nAnswer: 524776","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -y**3 - 10*y**2 - 9*y - 1. Let t be c(-9). Let j be (t - 6\/(-2)) + 27\/3. What is the first derivative of 10*o**3 + 6 - 13 + j*o**3 wrt o?\nAnswer: 63*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -32 + 55. What is the units digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:52 PM and 7:04 PM?\nAnswer: 372","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 305 and 35.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -6448 and -0.335?\nAnswer: 6447.665","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0, 2\/3, 102, 56?\nAnswer: 56","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1471)\/(2 - -1 - (3 + 1)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1b (base 12) to base 8.\nAnswer: -27","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/19, 3\/7, -0.36, 3 in ascending order.\nAnswer: -0.36, 2\/19, 3\/7, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vyvvvvvvyvvvyvyvvv. What is prob of picking 2 v and 2 y?\nAnswer: 91\/510","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5\/(-4)*(-47)\/(1927\/(-1640)) + -13.\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -190.043432 to two decimal places.\nAnswer: -190.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*j**2 - 9*j**2 - j**2 + (-4*j**2 - 2*j**2 + 4*j**2)*(-1468 - 262 - 742) + j**2 - 1 + 1 to a + f*j + k*j**2 and give k.\nAnswer: 4937","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/q**(-3\/7))\/q*q**(2\/7))\/(q*((q\/((q\/(q**0*q))\/q))\/q)\/q)**(4\/11) assuming q is positive.\nAnswer: q**(27\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -8 - -5. Suppose -3*i + 69 = -3*z, -3*z = 12 - 0. What is the tens digit of i\/(-2)*(v + 1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 7*p**2 + 5*p + 1. Let u(b) = 108*b**2 + 27*b - 38. Let k(v) = -38*v**2 - 9*v + 14. Let h(j) = 11*k(j) + 4*u(j). Give 3*h(q) - 5*i(q).\nAnswer: 7*q**2 + 2*q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-66)\/4*(900\/(-27))\/5. Solve -97*g + a*g = -13 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3423464?\nAnswer: 2, 11, 38903","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z + 5*o = 62 - 50, -4*z + 32 = 4*o for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 436 = 3*j + 318, 988 = -4*j + 3*n. Let m = j - -374. Calculate the remainder when m is divided by 25.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(875) + -1*sqrt(875) + sqrt(875))\/(sqrt(20)*2).\nAnswer: 5*sqrt(7)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4656*a**3 - 443*a**2 - 19*a - 765471 wrt a.\nAnswer: -27936*a - 886","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 3*v - 2. Let q(r) = 38*r + 90. What is -12*b(n) + q(n)?\nAnswer: 2*n + 114","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = k - 6. Let j(t) = -6*t - 8. Let r be j(-5). Suppose 0 = -u - 4*c + r, 2*u + 4*c - 7 = 25. Let y be ((-2)\/4)\/((-1)\/u). What is v(y)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1092 = 21*q - 9*q. Let x be (q\/182)\/((-10)\/4). Which is the nearest to -8\/5? (a) 0.1 (b) x (c) -4 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 151 + -146. Which is the nearest to 2\/7? (a) u (b) 16 (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -45, 4, -4, 0.5, -0.03, 29 in decreasing order.\nAnswer: 29, 4, 0.5, -0.03, -4, -45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 1240106 divided by -566\nAnswer: -2191","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (8\/6)\/((-140)\/735) + 208. What is the highest common factor of 603 and m?\nAnswer: 201","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/(-8)*2880\/(-90)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) be the second derivative of 0*g**3 - 1\/4*g**4 - 35*g - 2 + 0*g**2. Let u(w) = -30*w. What is r(u(y))?\nAnswer: -2700*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 12 = -u. Suppose -u = -r - 1. Suppose -s - 2*s - 8 = -z, r*z + 2*s - 6 = 0. What are the prime factors of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 2 = -2*l, -5*y - l = -8. Differentiate 9 + 43 - 70*k**2 - 90*k**2 + 88*k**y with respect to k.\nAnswer: -144*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 28 (base 13) to base 14\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -7*f**2 - 11. Let p(z) = 1395*z**2. What is x(p(o))?\nAnswer: -13622175*o**4 - 11","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 2833 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 3, c: 2}. Give prob of picking 1 n and 2 c.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 669 minutes after 3:38 PM?\nAnswer: 2:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = -6*z + 18. Let b be 96\/(-20)*(-20)\/z. Factor -17*l - 17*l - 16 - 2*l**3 - b*l**2 + 10*l + 4*l**2.\nAnswer: -2*(l + 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -1. Let i = -1385 + 1381. Let a(k) = k**2 - 4*k + 5. Give i*y(b) - a(b).\nAnswer: -b**2 + 4*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -3230 - -9772?\nAnswer: 6542","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -160*f + 1757. Give p(11).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5 - 2. Suppose -n + 2*s = -4, s - 2 = z*s. Suppose -3*y - 4*g = 2*y - 175, -42 = -n*y + 4*g. Is y a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that 2*o**2\/3 + 352*o\/3 - 358 = 0.\nAnswer: -179, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -13 + 13. Suppose h = 4*b - a - 59, 5*b + 3*a = -44 + 105. Suppose 37 = 3*j - b. What is the remainder when j is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -m**2 + 1. Let r(z) be the third derivative of z**5\/6 + z**4\/12 - 7*z**3\/6 + 2130*z**2. Calculate -6*l(j) - r(j).\nAnswer: -4*j**2 - 2*j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 6 + 7)*(0*l + 3*l - l) + (-4*l - 46 + 46)*(1 + 0 + 1) to the form f*l + q and give f.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 304 = -319. Let o = 18 + -15. Put o, -3, -1, k in descending order.\nAnswer: o, -1, -3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = 2*j + j. Let y be j\/25 + 17\/5. Which is the third smallest value? (a) -0.1 (b) y (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -807 - -827 - (7 + -2 + -1).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = c**2. Let q(n) = 5*n**2 - 2*n + 1. Let z(i) = -4*l(i) + q(i). Suppose 31 = 4*x - 5*h, 5*x = -8*h + 10*h + 26. Calculate z(x).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 76*b**2 + 13*b + 109. What is the hundreds digit of v(11)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -58*r**3 + 34080*r - 17 - 34080*r - 1 + r**3 + 1 + (2*r**2 + 0 + 0)*(-5*r - r + 4*r).\nAnswer: -61*r**3 - 17","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -2*u**2 - 19*u + 8. Let k(r) = 3*r**2 + 37*r - 15. Let q(o) = 3*k(o) + 5*n(o). Does 8 divide q(10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is o in o**3 - 11*o**2\/4 - 148*o + 848 = 0?\nAnswer: -53\/4, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 452005053?\nAnswer: 3, 283, 359, 1483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 324 + -5?\nAnswer: 31c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 160 times -1992077\nAnswer: -318732320","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) be the first derivative of -t**9\/168 + t**5\/60 + 3*t**2\/2 + 2. Let a(m) be the second derivative of x(m). Find the third derivative of a(g) wrt g.\nAnswer: -360*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(143) + sqrt(143))*3)\/(sqrt(1331)*2 + sqrt(1331)).\nAnswer: -sqrt(13)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-90)\/(-12))\/((-9)\/12).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 54 + 0?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 3*j**2 - 268*j - 6811. Determine x(110).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/12319 or -304?\nAnswer: -304","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 2, 15, 32, 53, 78, 107?\n\"Answer: 2*j**2 + 7*j - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 not equal to -0.045615?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -175.9 - -180.9. Sort -5, b, 0.0189 in ascending order.\nAnswer: -5, 0.0189, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.37 - 0.17. Sort 3, 0.01, g in decreasing order.\nAnswer: 3, g, 0.01","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-2))**47 assuming c is positive.\nAnswer: c**(-94)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*v**3 - 2877*v**2 - 1419*v + 8622 = 0 for v.\nAnswer: -479, -2, 3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3167 - 3167 - 4*t.\nAnswer: -4*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 4*u**2 - 7*u - 1. Let k(g) = -1 - 8*g - 2 + 4*g**2 + 2 + g**2. Determine 5*k(y) - 6*w(y).\nAnswer: y**2 + 2*y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/4 of a litre in millilitres?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 676*f**2 - 2357*f**2 + 872*f**2.\nAnswer: -809*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 1\/7 (b) -3 (c) -0.4 (d) 3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -2*k. Suppose 3*f - 5 = 2*b - 0, -30 = -b - 5*f. Let a(l) = -7*l**2 - b*l + 9*l - 4*l. Give a(y(h)).\nAnswer: -28*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -142504929.71 plus -27771?\nAnswer: -142532700.71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 31518602?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(17) + 5 + 4 + (sqrt(1700))**2*1.\nAnswer: sqrt(17) + 1709","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8065355 milligrams in tonnes?\nAnswer: 0.0000000008065355","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 19 + -17. What is the second biggest value in 1, c, -2\/13?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of ((2 - -3) + -3)*1 and 7?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in fourty-one halves of a microgram?\nAnswer: 20500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.4 and 49.\nAnswer: 19.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -8? (a) -2\/7 (b) 73 (c) -21\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -254, 3\/38, -0.1 in descending order.\nAnswer: 3\/38, -0.1, -254","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 5 - 3)*(-2*h**4 + h**4 - 4*h**4) + 26*h**4 - 244*h**3 + 244*h**3.\nAnswer: 11*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -67\/1164 and 49\/970?\nAnswer: 5820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -20, -9, 10, 37, 72, 115, 166?\n\"Answer: 4*j**2 - j - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3866 is divided by 117?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 239*n. Let f(d) = 34*d**2. Determine f(r(q)).\nAnswer: 1942114*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6 - 2. Suppose -t - g*y = 12, -2*t + 3*y = t - 24. Calculate the remainder when 15 is divided by t.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 4*j**2 + 6*j + 6. Calculate h(-3).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in sixty-two fifths of a meter?\nAnswer: 12400","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1 (b) 4 (c) 0.4 (d) 5 (e) -3348\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -60.285195, 4, 1\/6 in increasing order.\nAnswer: -60.285195, 1\/6, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -46792*g. Let j(m) = -m**2. What is j(t(k))?\nAnswer: -2189491264*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 6*b + 25 = -b, 2*u = -4*b - 6. Let a = u - -5. Solve y = -a*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11*o**2 + 0*o**2 + 12*o**2 + 50)*(3*o - 3*o + o).\nAnswer: o**3 + 50*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -214*k**2*r + 5802*k**2 - 24*k*r + 4*k - 81*r - 1 wrt r?\nAnswer: -214*k**2 - 24*k - 81","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = 3*z + 2*w - 33, 0 = 2*z + w - 19. Suppose 4*r - 2*r = z. Solve -5 = r*q - 0*q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7360 by -9.\nAnswer: 7360\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1 (b) 4 (c) -73\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 409*g - 207*g - 204*g.\nAnswer: -2*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j + 2*v = 10*v + 37, 4*v = j - 15 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + (-5 - -11 - 1).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - t = 20, 0*t - 25 = 5*t. Suppose 4*k - g*z + 4*z = 156, -5*z - 117 = -3*k. Let i = k + -28. What is the least common multiple of 2 and i?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 917\/614 - -2\/307. Factor 3\/4*h - c*h**2 - 3\/4*h**3 + 3\/2.\nAnswer: -3*(h - 1)*(h + 1)*(h + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 142 (base 8) in base 16?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = v**2 - 6*v - 8. What is d(6)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -2*(-4)\/(4\/(-1)). Is 5 a factor of (p - 5\/(-2))*36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 15) to base 3\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4466\/870 - 4\/30.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7300407 by 10239.\nAnswer: -713","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 1, d: 2, z: 1, s: 6, q: 3}. What is prob of picking 1 x and 2 d?\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 286305?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/13? (a) 0.1 (b) 1 (c) 0.2 (d) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fff when three letters picked without replacement from fff.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) be the second derivative of -3*i**5\/20 - 3*i**4\/2 + 7*i**3\/2 - 15*i. Factor b(t).\nAnswer: -3*t*(t - 1)*(t + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-51*g**2 - 44*g**2 + 75*g**2)*(g**3 + 0*g**3 + g**3) + (83*g**2 - 83*g**2 - g**4)*(2*g + 0*g - g).\nAnswer: -41*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 484?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of i*k*y**2 + 439*i*y**2 + 335*i*y - 2*i + k*y - 73414*k - y**2 - 1 wrt i.\nAnswer: k*y**2 + 439*y**2 + 335*y - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/(-5)*8\/(-12)*(-625)\/25.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -61*i + 7967 - 13701 for i.\nAnswer: -94","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 39.207kg to micrograms.\nAnswer: 39207000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1242 is divided by 42?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -65\/80617536 and -89\/240.\nAnswer: 403087680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 less than -1\/5387?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 63 + -43. Suppose l = 5*u + 5*f, 4*u - 4*f + 6*f - 18 = 0. Suppose 0 = -13*n + u*n + 144. What is the least common multiple of n and 20?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 + 26 = 4*f. Calculate the smallest common multiple of 1 and f.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = n + 2*t - 5*t + 71, -3*t = -4*n - 284. Let g = 36 + n. Let v be (g\/63*-12)\/(4\/(-390)). What is v rounded to the nearest 100?\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 - 3 = -m - 4*m + 3*p, 32*m + 11*p - 21 = 36*m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 + 50 = -2*d. Let x = d + 46. What is the units digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.505574 years in decades?\nAnswer: 0.8505574","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -789554*k**4 - 938743 wrt k?\nAnswer: -3158216*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 143917 a multiple of 473?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2816 - 475902\/169. Let d be ((-5)\/10)\/(-1*(-2)\/4). Which is smaller: l or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17063 to the power of 1\/2, to the nearest integer?\nAnswer: 131","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 4220 to the nearest 1000.\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1224 and 306.\nAnswer: 1224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(1216)*-2 + -2).\nAnswer: -48*sqrt(19) - 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1806 + 5944. What are the prime factors of w?\nAnswer: 2, 2069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1695544052?\nAnswer: 2, 423886013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1461?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 190348210 by 10.\nAnswer: 19034821","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -28002.5 - -28001. Let h = -0.3 - -0.8. Which is the closest to -1? (a) h (b) n (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = s**2. Let a(n) be the third derivative of n**8\/4032 + n**5\/20 - 16*n**2. Let b(f) be the third derivative of a(f). What is z(b(h))?\nAnswer: 25*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -4*w - 44. Let o be d(-15). Solve 28 = -o*c - 36 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(-4*(sqrt(121) + -1*sqrt(121)*1 - sqrt(121)))\/(-2*(1*sqrt(176) + sqrt(176))))**2.\nAnswer: 11\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -j**3 - 16*j**2 - 19*j + 27. Let o be y(-16). Let z = o + -288. Let c(i) = 3*i + 6. What is the remainder when z is divided by c(6)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kbr when three letters picked without replacement from bbkblrrbbbrrrbbbr?\nAnswer: 9\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 5\/(-2) + 25929\/6 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -2*m - 8. Let j be g(-6). Suppose -50 = -j*o + 2. What is the remainder when 49 is divided by o?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(648) - sqrt(648))\/sqrt(216) - sqrt(24)\/(sqrt(8) + sqrt(32)\/sqrt(36))*-3.\nAnswer: 9*sqrt(3)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 80130 is divided by 11379?\nAnswer: 477","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -0.4, 3, -5, -1 in descending order.\nAnswer: 3, 0, -0.4, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -3*x + 15. Let g = 7 - x. Solve -6 = -g*k - 18 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (252\/63)\/((-4)\/(-6)). Let h(d) = -d**2 - 7*d. Let s be h(-7). Suppose s = 5*u - u - 20. Solve 2*t - 1 = o + 5, 4*t - u*o = w for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.07, -5, 0.3, 1517, 3, 7\/2?\nAnswer: 1517","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 18, 9, 2, 3, 18, 53?\nAnswer: 114","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -d**2\/2 + 2*d + 16.\nAnswer: -(d - 8)*(d + 4)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 5*n = 0. Let u be (-1 - n)*1 + 2. Let z be u*8 + (2 - -1). Solve 5*f - 2*f - 2*p = z, -p + 22 = 4*f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 1\/33 (b) 0.5 (c) -4 (d) -16\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 20, -3\/5, 0.1, -1237036 in descending order.\nAnswer: 20, 0.1, -3\/5, -1, -1237036","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w - 12 = -w. Suppose 2 = -k + 12. Calculate the smallest common multiple of k and w.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -8 - 23141?\nAnswer: -23149","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = r**3 + 12*r**2 + 8*r + 13. Calculate o(-7).\nAnswer: 202","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**2*r*r**(-8)*r*r**(5\/13)*r*r**(22\/9) assuming r is positive.\nAnswer: r**(-20\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 629 is divided by 40?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -95 = 4*p - 23*p. Solve 22 = -p*x - 3 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-16)\/(-72)*(-1053)\/1443?\nAnswer: -6\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u, 1 p, and 1 l when three letters picked without replacement from wlswwsqppswlsqu?\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2331, -1, -3, -2, 6, -4 in descending order.\nAnswer: 6, -1, -2, -3, -4, -2331","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 7*z = -405. Calculate the highest common factor of z and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-41 - 11)*(7 + 87\/(-12))?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 4 + -2 - (12 - 11)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37884*j + 31104 = 37398*j for j.\nAnswer: -64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 33032230010 (base 4) to base 11\nAnswer: 2287546","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 981*r**3 - 2 - 428*r**3 - 541*r**3 - 159*r**2 in the form t*r + x*r**2 + m + z*r**3 and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 2619253565 to the power of 1\/3, to the nearest integer?\nAnswer: 1378","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*r**4 + 269225*r**3 - 3624508835*r**2 + 10871103615*r.\nAnswer: -5*r*(r - 26921)**2*(r - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 137 minutes before 2:34 PM?\nAnswer: 12:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*p**5 - 6*p**5 + 8*p**5 + p**4 + (-2*p**3 - p**3 + 6*p**3)*(5*p + 0*p - 29*p**2 - 1 - 7*p).\nAnswer: -89*p**5 - 5*p**4 - 3*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*v - 20 = 15*v, 5*l - 3*v - 17 = 0 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -4*t**2 + 7*t - 8. Let y = 2 + -4. Let c(r) = 20*r**2 - 34*r + 39. Let z(b) = y*c(b) - 11*f(b). Is z(9) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x - 2*b - 20 = 0, -45*x + 2*b = -48*x + 45 for x.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 7307140 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*k**3 - 5*k**3 - 2*k**3 + (k**2 + 3*k - 3*k)*(2 - 2 + 2*k) + 123*k**2 + 67*k**3 - 66*k**2 - 66*k**2.\nAnswer: 64*k**3 - 9*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((y\/y**(-2\/17))\/y)\/(y\/(y*y**(-3))))\/((y*y**1*y*y)\/y)**(-2\/71))\/((y*y\/y**5)\/y**(1\/7)*((y*y**0)\/y)**(-1\/5)) assuming y is positive.\nAnswer: y**(2915\/8449)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-7)\/(35\/6)*30\/(-12). Suppose -u*p = -3*x + 3, 2*p = -3*x + 2*x - 2. Suppose x*a = -3*a + 12. Solve 3*w + t = 10, a*w - 3 = 3*t + 32 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 148 divide 120768?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-7)\/(98\/(-35))*536\/10. Let i = s - 133. Solve -2*r = 3*k + 2, 5*r + 4 + i = 3*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uhq when three letters picked without replacement from {h: 12, u: 4, q: 4}?\nAnswer: 8\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*(sqrt(225) - sqrt(25)))\/(sqrt(125)*-2))**2 + -3 - (((sqrt(720) - (1 + 1*sqrt(720))) + sqrt(720) - sqrt(720)) + 1 + -5)**2.\nAnswer: -136\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 3 j when four letters picked without replacement from jjjjjjjjfjjjjjj?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v**2 + 31*v + 222 = 0.\nAnswer: -6, 37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 53\/2 and -35\/34.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 5, 174 in decreasing order.\nAnswer: 174, 5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 294584?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = p + 2. Let q be 0\/((-5 - -2) + p). Suppose 3*j - 58 = 4*o, q*o - 2 = 2*o. List the prime factors of j.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -5, -2352, 3, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1021 + 1?\nAnswer: -1020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 124 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20 = -5*l + 5*y, 4*l + 2*y = 2 - 6 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/(d*d**(1\/6)*d))\/d**8*(d**(-1))**(6\/37)*(d*d**0)\/d*d**(-2\/3)*(d**(-1\/4)*d)**(5\/3) assuming d is positive.\nAnswer: d**(-3883\/444)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = c + 36. Let d be l(-22). Suppose -13*x - 3 = -d*x. Solve 5*h = x*h - 8 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3 + 7. Suppose z*f - 6 = -j + 2*f, -3*j - 2*f = -10. Let r = 4.28 + -0.28. Which is the second smallest value? (a) j (b) r (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3271, -3008, -2561, -1924, -1091, -56?\nAnswer: 1187","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -8*p + 2 + 2*p + 3*p + (4*p + 3*p - 4*p)*(-3 + 1 + 0).\nAnswer: -9*p + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 = 7*t - 5*t. Suppose 3*k = 2*k + t. Let f be (-4)\/(-14) + (-89)\/(-7). Calculate the highest common divisor of f and k.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let n(q) be the second derivative of -q**5\/20 + 5*q**4\/3 - 39*q**3\/2 + 81*q**2 - 335*q. Factor n(h).\nAnswer: -(h - 9)**2*(h - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 11*o + 59 - 59 as t*o + n and give t.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 340 and 32640?\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -49*y**2 - 3*y + 2*y - 155*y**2 + 2*y.\nAnswer: -204*y**2 + y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t**(-1\/3))\/(t**(-3\/5)\/t))**(-42) assuming t is positive.\nAnswer: t**(-476\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3066 + -3030. Calculate the highest common factor of q and 264.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 20 = 4*o, 0 = 5*p - 2*o - 15 + 4. Differentiate -4 + 0*n**p + 5*n**3 - 2 + 0*n**3 wrt n.\nAnswer: 15*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qhzw when four letters picked without replacement from zwqqzqhzyhhzyqhwqhz?\nAnswer: 125\/46512","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v**3\/3 + 8*v**2\/5 - 2*v\/15 - 4\/5 = 0. Calculate v.\nAnswer: -3\/5, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -11.909 - -10.83. Round b to 1 dp.\nAnswer: -1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 4875?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 50207 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 77782.\nAnswer: 2, 38891","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/(r*r**1)*r)**22)**(-1\/6) assuming r is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + (-2 - -7 - 3).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -b**2 + 8*b - 4. Let z be w(7). Let y(u) = 2*u + 0 - u**2 - 5 - 4*u - z*u. Give y(-6).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10349*u + 5985*u + 7724*u + 2.\nAnswer: 3360*u + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -107*u + 1 = -106*u. Is u + 8 + -8 - -12036 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 9558 - 76605\/8. Let y = n + 481\/8. Let c = 771 - 1633\/2. Find the common denominator of y and c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1*(-1 - -2)*(41 + -41). Factor -8\/9*r**3 + 2\/9*r**4 + 4\/3*r + 2\/9*r**2 + h.\nAnswer: 2*r*(r - 3)*(r - 2)*(r + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = k**3 + 3*k**2 - 3*k + 4. Let j be w(-4). Solve -4*u - 3*c + 5 = j, u - 2*u - 10 = 3*c for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 38*w - 5 + 309 for w.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 2*s. Let b(w) = 1820*w - 392. Let j(c) = -7*c + 2. Let a(n) = -3*b(n) - 588*j(n). What is a(y(o))?\nAnswer: -2688*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -3\/2 (b) 13 (c) 1\/5 (d) 5 (e) -2\/5 (f) 9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2044 (base 9) in base 3?\nAnswer: 2001111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 8290 - -1.57863\nAnswer: 8291.57863","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 take away -27178.6?\nAnswer: 27179.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 44\/5 of a microsecond?\nAnswer: 8800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 46*p**3*x**3 + 2*p**3*x**2 + 21*p**2*x**2 - 2*x**3 wrt x?\nAnswer: 276*p**3 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*i - 207 - 873. What are the prime factors of i\/(-14) + (-4)\/14?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xpxjj. Give prob of picking 2 x.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -498*x. Let k(n) = 2*n**2 - 33*n. What is k(s(q))?\nAnswer: 496008*q**2 + 16434*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that 3*u**3\/7 - 22116*u**2\/7 + 44223*u\/7 - 22110\/7 = 0.\nAnswer: 1, 7370","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 337419620?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 12*r**4 - 15*r**4 - 31*r**4 + (3*r**3 - 7*r**3 + 2*r**3)*(-1 + r + 1) - 2 + 2 + r**4 to l + j*r**3 + x*r**4 + b*r + f*r**2 and give x.\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) be the third derivative of 5*n**2 + 1\/20*n**6 - 1\/20*n**5 - 1\/4*n**4 + 0*n + 0*n**3 + 1\/70*n**7 + 0. Determine w so that r(w) = 0.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 38063.\nAnswer: 17, 2239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 24 (base 10) in base 7?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10692\/1386)\/(260\/(-91)).\nAnswer: -27\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 41*d + 34*d - 62*d - 3*d - d + 3*d + (-5 + 2 + 5)*(2*d + 2*d - 2*d))*(3*d**2 + 3*d**2 - 5*d**2).\nAnswer: 16*d**3 + 2*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*i = 11*i - 81. Let c be (-6)\/(-27) + (-60)\/i. Sort 2, 3, c.\nAnswer: c, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2347 + -2352. Which is the closest to n? (a) 43\/3 (b) -0.2 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v**4\/11 + 786*v**3\/11 - 53788*v**2\/11 - 227856*v\/11 = 0. Calculate v.\nAnswer: -4, 0, 94, 303","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2.2583 + 1097.6417. Is -1 bigger than j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 611, 1291, 2045, 2873, 3775, 4751, 5801?\n\"Answer: 37*t**2 + 569*t + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2 - -5b?\nAnswer: 5d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -33 - 26086?\nAnswer: -260b9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 108 + -115. Let q(t) = 3*t**3 + 26*t**2 - 6*t + 7. Is 14 a factor of q(f)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7598*v - 7603*v + 2660 = 0. What is the greatest common divisor of v and 608?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20*u + 0 + 44*u**3 + 1 + 23*u - 156*u**2 - 124*u**3.\nAnswer: -80*u**3 - 156*u**2 + 3*u + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 50741 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1675003 (base 11) to base 12.\nAnswer: -b536b0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 10 = -0*p. What is the units digit of 0 - (p - 0) - 1?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = -4*w + 16, -w + 6*w + 2*o - 8 = 0. Let c(r) = -r**3 + r + 40. Calculate the remainder when c(w) is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*2*sqrt(76)*-6)**2*-5.\nAnswer: -1969920","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = k + 52. Let v(m) = 8*m - 322. Let c be v(36). Let n be h(c). Suppose -158 = 4*l - 410. What is the greatest common divisor of l and n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 335481.75 minutes?\nAnswer: 232.9734375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dd when two letters picked without replacement from {d: 5}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 43*a - 9. Let y(n) = 54*n - 10. Let p(t) = -5*f(t) + 4*y(t). What is p(1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 3*z + 64. Calculate m(-19).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 51 + -101. Is 10 a factor of (-660)\/a*15\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3\/7 in 299, 3, -0.3, 3\/5, 5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6*h**3*o**3 + 25*h**3*o**2 + 3*h**2*o**3 + 3*h**2 + 6*o**3 wrt h?\nAnswer: -36*o**3 + 150*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -21760*h**2. Let l(m) = -m**2. Calculate r(l(a)).\nAnswer: -21760*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/2 of a microgram in nanograms?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/12)\/(-1*(-1)\/(-15))?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -171*c - 12506 - 168 = 197*c - 898 for c.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(2\/5)*o*o*(o*(o**7*o)\/o*o)\/o)\/(o\/(o\/(o\/(o*o*o**0))*o))**42)**(-8) assuming o is positive.\nAnswer: o**(-3776\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Do 57 and 24109\/425 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 14.7268 rounded to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3582373933?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that y**5\/2 - 190130*y**4 + 18074138052*y**3 + 108449581607*y**2 + 397653852983*y\/2 + 108451673067 = 0.\nAnswer: -3, -2, -1, 190133","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*j**4 + 0*j**3 + 3*j**2 + 4*j**3 - j**3 + 2*j**3 in the form c*j + k*j**3 + n*j**4 + z*j**2 + r and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3 and 42.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 - 6 - 5)*(-4*t + 4*t + 2*t) + (t - 10*t - 2*t)*(-2 - 3 + 4).\nAnswer: 3*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 316?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0029167806 to four dps.\nAnswer: 0.0029","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -17068332, -34136667, -51205002, -68273337?\n\"Answer: -17068335*r + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 c when two letters picked without replacement from {x: 1, r: 3, c: 2, w: 1}.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - 8 = -24. Suppose 2*b - x = 8. Let w(u) = 33*u - 158. Calculate the least common multiple of b and w(5).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6782517523 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -2331042011 (base 5) to base 13\nAnswer: -114858a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 7015 or 14027\/2?\nAnswer: 7015","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Add -4392 and 1.1.\nAnswer: -4390.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -1*1*6\/(-14). Let f(y) = y**2 + 7*y + 8. Let o be f(-7). Suppose 0 = 8*n - 4*n + o. Which is the closest to n? (a) 1\/6 (b) q (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 5*x**2 - 5*x - 5. Let b be t(-1). Let v(d) be the first derivative of 1\/4*d**4 - b - d**3 + d - 2*d**2. What is v(4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 22 and 1984334.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 2*k + 20. Let q(v) = -v - 10. Let h(m) = -6*g(m) - 11*q(m). Let c be h(-6). What are the prime factors of 6*5 - (c + 5)?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m - 7 = v, -45*m + 41*m = -4*v + 20 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:21 PM and 9:33 PM?\nAnswer: 132","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/14, 2\/5, 0.2, -410.\nAnswer: -410, 1\/14, 0.2, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 45952 and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -747884, -747756, -747622, -747482, -747336, -747184?\nAnswer: -747026","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 568.1525nm?\nAnswer: 0.00005681525","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -7*a**2 - 1. Let c(u) = -1367*u**2. Determine q(c(m)).\nAnswer: -13080823*m**4 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = t + 2*r + 22, -34 = -2*t + 2*r. Let a = -9 - t. Is 6 a factor of (-258)\/a + (-2)\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 20, 2, 118 in ascending order.\nAnswer: 0, 2, 20, 118","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4882079.\nAnswer: 587, 8317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4 (b) -0.2 (c) -44011 (d) -2\/5 (e) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -79 by 4.\nAnswer: -79\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 j when three letters picked without replacement from {j: 9, z: 1, k: 1}.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -11*i**3 - 17*i**2 + 9*i - 17. Let h(l) = -4*l**3 - 6*l**2 + 3*l - 6. Determine -6*a(d) + 17*h(d).\nAnswer: -2*d**3 - 3*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.29 - -0.43. Let q(n) = -n**2 - 4*n + 7. Let u(o) = -o**3 - 5*o**2 + 6*o - 5. Let i be u(-6). Let b be q(i). What is the smallest value in -3\/5, b, d?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -b**3 - 17*b**2 - 5*b + 5. Let s(p) = -2*p**2 - p. Let i(n) = 5*m(n) - 30*s(n). Find y such that i(y) = 0.\nAnswer: -5, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve t + 3 = -1 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c and 1 f when three letters picked without replacement from {c: 6, f: 4}?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -606*n**6 + 284*n**5 + 2*n**2 + 1017*n - 4 wrt n.\nAnswer: -72720*n**3 + 17040*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-8)\/(-4) + (-3 - (1 + -2)). Suppose 0 = -2*t + 4, 5*m + 4*t + g*t - 18 = 0. Solve 0 = -m*i - 2 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 15*t + 10. Let i(b) = -8*b - 5. Give -5*i(v) - 3*m(v).\nAnswer: -5*v - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12727 is divided by 12692.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -28, -48, -92, -166, -276, -428, -628, -882?\n\"Answer: -p**3 - 6*p**2 + 5*p - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1435875 is divided by 75572?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 2774800345.8 rounded to the nearest 100000?\nAnswer: 2774800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -129*b - 34*b - 188*b + 44928 = 0. Calculate the remainder when 637 is divided by b.\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 162361096 is divided by 19?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-443 + 3)*4\/(-8). Suppose 8*j - k = 3*j. What is the smallest common multiple of j and 18?\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-9) + (-954)\/(-81)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 6*h**2 - 3*h**3 - 7*h - 5*h**3 + 5*h**3 + 4*h**3 + 5. Let d be i(-7). Solve 0*p = d*p - 5 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 32.59 - 26.969. What is b rounded to one decimal place?\nAnswer: 5.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2172 divided by 8\nAnswer: -543\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.09 - 0.1. Let c = 27.69 - 28. Let y = i - c. What is y rounded to 1 decimal place?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 3 i when four letters picked without replacement from {d: 2, i: 3, n: 1, x: 1, p: 4}.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 538872*n - 3049266*n - 149736*n - 1827770*n.\nAnswer: -4487900*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 100256*x - 301019. What is r(3)?\nAnswer: -251","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -i**4*m*x + 167*i**4 - 15*i**3*m*x**3 + 2*i**2 + 4081*i*m*x**3 + i - m*x**3 - 2*m*x wrt i.\nAnswer: -24*i*m*x + 4008*i - 90*m*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 1018, -4\/7, -1\/3.\nAnswer: -4\/7, -1\/3, 1, 1018","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-16767)\/36)\/3 - (-1)\/4. Let w = 282 + d. List the prime factors of w.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*u = 13 - 20 - 21 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve q**2\/7 + 16400*q - 229604\/7 = 0 for q.\nAnswer: -114802, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 4 + 583?\nAnswer: 587","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 127 - 85. What is the highest common divisor of 63 and c?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (174\/20)\/(-3) - -3. Let l(n) be the third derivative of 0*n + 5\/24*n**4 + 1\/120*n**6 + 0 + 2\/3*n**3 - u*n**5 + 3*n**2. What is l(5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -52 * -134.2167.\nAnswer: 6979.2684","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 4*w + w = 4, 0 = 2*n - 3*w - 1. Let t be n\/(4 - (-12)\/(-40)*14). Solve -t*f = 5*j - 40, -4*f + 13 = 5*j - 23 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 7*j**2 - 14*j - 1. Let k be f(2). Let n = k + 2. Solve 0 = -v - 2*m + 3, -4*v + 3*m - 33 = -n for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 487281 + -287758. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 39 - (33 - 15 - -20)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 483 - 483.11. Which is the second biggest value? (a) -2\/15 (b) -0.4 (c) -2 (d) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1155\/1540*(-8)\/6\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that 375*a**5\/2 + 600*a**4 + 540*a**3 + 192*a**2 + 24*a = 0.\nAnswer: -2, -2\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*l - 5*l + 3*l**4 + (223*l**2 + 116*l**2 - 95*l**2)*(10*l**2 - 20*l**2 + 15*l**2 + 2*l) to the form g*l**2 + w*l**4 + z*l + h + d*l**3 and give w.\nAnswer: 1223","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k**2 + 8136*k - 9449440 = 0 for k.\nAnswer: -2860, 826","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 221, 520, 835, 1172, 1537, 1936, 2375?\nAnswer: 2860","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5002395 to the nearest integer?\nAnswer: 171","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*h*s - 9*h + 1831*s with respect to h.\nAnswer: -2*s - 9","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 3*v**2 - 9*v + 4. Let c(k) = k**2 - k + 1. Let t(m) = -4*c(m) + h(m). Let a = -3 + -2. Let b be t(a). Solve -3*p + 19 - 7 = b for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 69 and 0.20587.\nAnswer: 14.20503","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*r - 3*r = 2*c - 1082, -r + 1082 = 2*c. Suppose 0 = 3*i - c + 34. Does 27 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -14*c + 10010*c**3 - 5100*c**3 + 3*c - 5011*c**3 - 9*c to p + d*c**2 + k*c**3 + y*c and give k.\nAnswer: -101","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 20080592 to the nearest integer?\nAnswer: 4481","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) be the first derivative of 5*t**6\/6 + 8*t**5 - 60*t**4 + 80*t**3\/3 + 440*t**2 - 960*t - 8218. Let z(h) = 0. What is h?\nAnswer: -12, -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 14 = 5*f - 15, 3*v + 3*f - 3 = 0. Suppose -2*o - n = -3, v*o + n = -n + 6. Solve 2*g + o*g = 6 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 270\/42 + ((-18)\/21)\/2. Let d be 5\/10*(u - -2). Suppose d*j = 9*j - 5, -5*z + 19 = 4*j. Solve z = -5*r + 23 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2.01 + -3.01. Put 0.1, 0.3, i in increasing order.\nAnswer: i, 0.1, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = w**3 - 20*w**2 + w + 69. What is j(19)?\nAnswer: -273","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (1 + (2*(sqrt(242) + sqrt(242)*2) - ((sqrt(242) - (1 + sqrt(242))) + -1)) + -2 + 0)**2.\nAnswer: 132*sqrt(2) + 8712","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -s - 0*o - 5*o + 17, 5*o - 11 = 2*s. Let w(z) = s + 2 - 4 - 5*z. Let g(d) = -4*d**2 + 3*d**2 + 0*d**2. Determine w(g(j)).\nAnswer: 5*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -s**2 + 147381 - 46*s - 147381.\nAnswer: -s**2 - 46*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1232043 + 0?\nAnswer: -1232043","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = j**2 - 14*j + 24. Calculate d(9).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40*s + 10839 = 24896 - 11817 for s.\nAnswer: 56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*n - 2*n + 0*n)*(-5 - 18220*n**3 + 18203*n**3 + 2*n + 1).\nAnswer: 34*n**4 - 4*n**2 + 8*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -95\/164, 2\/5, 2\/9, -1\/4, 93, 4 in ascending order.\nAnswer: -95\/164, -1\/4, 2\/9, 2\/5, 4, 93","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 869980261 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 13*q**3 - q**2 - q - 2. Let v be i(2). Let u = -93 + v. Let k = 8 - 4. Solve g = 6*g, -k*c = u*g for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4974279?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 85169.\nAnswer: 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ytc when three letters picked without replacement from {c: 2, t: 2, y: 1, b: 7, d: 6}.\nAnswer: 1\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -7556*k**3 + 325268*k**2 wrt k.\nAnswer: -45336","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1\/6 - 26\/12. Let l = 2 + a. Let m(b) = 9*b**3 - b**2 - b + 11. Let x(n) = 29*n**3 - 3*n**2 - 3*n + 34. Let c(u) = 13*m(u) - 4*x(u). Calculate c(l).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-3 + 0)\/((-6)\/4). Factor -10\/11*v + 2\/11 + 16\/11*v**t - 8\/11*v**3.\nAnswer: -2*(v - 1)*(2*v - 1)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 2*m + 3. Let z be l(9). Let d = z + -6. Suppose -50*q - 98 = -64*q. What is the remainder when d is divided by q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 707 minutes before 4:49 PM?\nAnswer: 5:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 times 7.4?\nAnswer: -3.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = c**2 - 11*c + 12. Let r be i(9). Put r, 2\/13, -0.2 in increasing order.\nAnswer: r, -0.2, 2\/13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -a + 9. Let v(q) = -q + 19. Let p(f) = 5*u(f) - 3*v(f). Let z be p(-12). What is the third derivative of -9*d**2 - 103 - z*d**5 + 103 wrt d?\nAnswer: -720*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 2, y: 3, n: 2, p: 2}. Give prob of picking 3 y.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -62 + 492. Let k = i + -429.563. Let c = k + 0.063. What is the second biggest value in c, 1\/4, 3, -2?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 534414 and 522?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:28 PM and 7:51 PM?\nAnswer: 443","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 45 = 5*r, -3*n + 5*n = 3*r - 8. Suppose a + 10 = -0*a. Let w = -4 - a. What is the highest common divisor of w and r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5850 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 3 + 0)*(3*v**4 - 12*v**2 + 12*v**2).\nAnswer: 9*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(420)\/sqrt(1200))\/sqrt(7)*-3.\nAnswer: 6*sqrt(5)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -q**3 + 6*q**2 + 4. Let p be b(6). Suppose -p*c = -8*c + 48. Let z = -134 - -149. What is the lowest common multiple of z and c?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*j**3 + j**2 - 50*j - 94 - 6*j**3 + 0*j**3 + 98 + 8*j**3 to q*j**3 + k*j + z + b*j**2 and give z.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 355 and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 13\/12 - 4\/3. Let v = -0.203 - 0.197. What is the biggest value in l, v, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 50049?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 34273 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 64143?\nAnswer: 3, 7127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a milligram in micrograms?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*l + 10*l + 6 - 26 + 4*l + 0 as q + c*l and give c.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 23, 31, 41, 53?\nAnswer: 67","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(91) - sqrt(91)*2*-4 - sqrt(91))\/(sqrt(42)\/sqrt(294)).\nAnswer: 224*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -20 + 9. Let r = d - -15. Suppose 0 = o + r*o - 20. What are the prime factors of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1512.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (1680\/(-448))\/((-210)\/(-28))*(2 - 32\/(-5))\nAnswer: -21\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 43846 + -5?\nAnswer: 43841","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2779 - 1583. Suppose -3*a = -g - k, -g - g + 1598 = 4*a. Suppose a = 5*f - 4*b, -2*b - 34 = -f + 47. What is the units digit of f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -3 + -1 + 1 + (-100)\/(-36). What is the nearest to 0 in -2\/3, i, 0.2, 3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10002 - -103233?\nAnswer: 33231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -93, -188, -283?\n\"Answer: -95*k + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -7? (a) -1\/2 (b) -2 (c) -1 (d) 2\/5 (e) -99\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 2*q - 7 = 0, 3*d - 7*q = -2*q - 1. Let b = 3 - 2.8. Let l = -0.3 - b. Sort l, d, -2\/7 in increasing order.\nAnswer: l, -2\/7, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1 + (-1 - 0\/2). Suppose 2*c = 3*r + 49, 5*c + 3*r - 150 = 5*r. Suppose z = -2*y + 2*t + 14, -2*t - 3*t = -4*y + c. Solve l + 8 = -y*l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-129*w - 39*w - 27*w)*(3*w**2 - 3*w**2 + w**2).\nAnswer: -195*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 12533, 12813, 13535, 14921, 17193, 20573?\n\"Answer: 37*g**3 - g**2 + 24*g + 12473","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 1482975, 1482917, 1482821, 1482687?\n\"Answer: -19*w**2 - w + 1482995","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -895*-0.2\nAnswer: 179","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = w**2 + 1002*w + 238237. Determine d(-614).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 44966 divided by 607.\nAnswer: 44966\/607","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 940 is divided by 23.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -45 - -67. Let l = c - 16. Is l a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -41 - -42. Let v(z) = 55*z**3 + 2*z**2 - 1. Does 9 divide v(x)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 8432441556 to the nearest integer?\nAnswer: 2035","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 10 + 11*y - 6 - 29. What is the lowest common multiple of 3\/2*16\/6 and n(3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 1066 - 2131 + 1061 - 3*h - 2*h**2. Let v(w) = w**3 + 5*w**2 + 5*w - 3. Let x be v(-4). Let i(q) = -4*q**2 - 7*q - 9. Determine x*u(o) + 3*i(o).\nAnswer: 2*o**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -587, -806, -1211, -1808, -2603, -3602?\n\"Answer: -j**3 - 87*j**2 + 49*j - 548","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.2559947707 to five dps.\nAnswer: 0.25599","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 minutes after 2:58 AM?\nAnswer: 3:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -66*r**2 + 6*r - 27. Calculate g(3).\nAnswer: -603","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1185330.51 rounded to the nearest ten thousand?\nAnswer: 1190000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/((t**(-2\/47)*t)\/t))\/(t*t**(-22)*t) assuming t is positive.\nAnswer: t**(989\/47)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -16*g + 3*g + 65. What are the prime factors of -6 + (951 - (g + 0)) + 5?\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 64 and 66 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 10402 and 714?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 2095, 8520, 19227, 34216, 53487?\n\"Answer: 2141*f**2 + 2*f - 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.3 (b) 3\/5 (c) 10\/141 (d) 1 (e) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1512 to the power of 1\/2, to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 6\/5 of a centimeter?\nAnswer: 12000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1.5 (b) 0.1 (c) 2\/9 (d) 1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16 + 18 - ((7 - 2) + 2).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = j**3 - 9*j**2 - 6*j + 6. Let o be s(10). Let t = 31 + o. Suppose -3 = -2*q + 11. Calculate the highest common factor of t and q.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5eb0 (base 16) to base 13.\nAnswer: -b058","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46*d = -88*d - 117*d + 2067. Suppose 0 = -4*n - 6*p + p + 1602, -405 = -n + p. What is the highest common factor of d and n?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2 + 2. What is the derivative of 4*b + 16 + 2*b + v*b wrt b?\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1392331 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/21*(-294)\/126.\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mvv when three letters picked without replacement from {v: 4, y: 4, m: 1, e: 3, g: 1}.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out -424.947 - -417.1.\nAnswer: -7.847","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.28? (a) -3 (b) 0.3 (c) 2\/9 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 8811\/10987 bigger than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 91 minutes before 5:36 AM?\nAnswer: 4:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 2\/115?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*u + 4*u - 3*u)*(-4*u**2 - u**2 + 6*u**2) + (14*u + 6*u - 12*u)*(-6 + 6 + 8*u**2).\nAnswer: 63*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 10*l - 1. Let m be x(2). Let k = m - -29. Calculate the greatest common divisor of 12 and k.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 times 29.21887?\nAnswer: -5.843774","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1619 a factor of 41723085?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1287.496 milligrams to tonnes.\nAnswer: 0.000001287496","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 326*u**2*y**2 - 70*u**2*y - 4*u*y + 2*y**2 wrt y?\nAnswer: 652*u**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -24*7\/(-28)*(-12)\/9*-1. Solve -16 = -2*w + 5*m, -3*m + y = -w + 17 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1203 - 5?\nAnswer: -1212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -17.9 times 1\nAnswer: -17.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -5*l**2 - 6*l + 15. Let s(a) = 2*a**2 + 3*a - 7. Suppose 0 = -5*r - 2*i - 18, -4*r - 117*i - 12 = -115*i. Determine r*g(q) - 13*s(q).\nAnswer: 4*q**2 - 3*q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*m + 20 = m. Let o(d) = 5*d**2. Suppose 2*b + 5*i = -39, 5*i - 3 = -5*b - 108. Let q(p) = -26*p**2. Determine b*o(t) + m*q(t).\nAnswer: -6*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 7 - 4 = 0. Calculate the remainder when 11 is divided by v.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of (25 - 1) + (-32 + 0)\/(-8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 30231102 (base 4) in base 8?\nAnswer: 145522","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -313 at least -310?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + 2*sqrt(25)\/(sqrt(20)\/sqrt(4)) - ((sqrt(75)*1 + sqrt(75))\/sqrt(3))\/(sqrt(5) + sqrt(500)*-2 + sqrt(5)))**2.\nAnswer: 190*sqrt(5)\/9 + 3830\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -24 - -31. Suppose -y - 29 = -5*i, 5 = -3*y - p. Solve -i*s + 4*l - 30 = -l, s - 2*l = -7 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*n + b = -3*n - 45, 2*n + 2*b = 22. What is the lowest common multiple of n and 4?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 0\/(-2 - (-3)\/3). Let w be (c - -4)*7\/(-4). Which is smaller: -6 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 3*w = 5*w + 191815, 0 = 2*h + 5*w - 383684. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, -515, 2076\/7 in increasing order.\nAnswer: -515, -9, 2076\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.0277 (b) 0.3 (c) 3 (d) 2\/85\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (1056\/(-64))\/33 - (1358\/(-4) - -2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -335.627 and 0.1702.\nAnswer: -57.1237154","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4 + 4. Suppose d - 3 = -c, -3*d = 5*q - 404. What is the tens digit of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 5, x: 15}. Give prob of picking 2 x and 1 h.\nAnswer: 35\/76","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 64044 to the power of 1\/4, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2262612 or -2262627?\nAnswer: -2262627","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rbkrrkkririyrykri. Give prob of sequence bk.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.04 and 574774?\nAnswer: -22990.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 503*x - 508*x + 160 = v, 7*x - 224 = 2*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 46 or -17122\/95?\nAnswer: -17122\/95","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -53435817 - -2?\nAnswer: -53435815","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 782*o**2 + 3253*o**2 - 7426*o**2.\nAnswer: -3391*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 - (23 - 2) - 1.\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8309803.\nAnswer: 8309803","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Let b = 8 - 21. Let f = b - -10. Is ((-1)\/f)\/((-3)\/(-738)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 67816765.\nAnswer: 5, 23, 589711","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is l in -3*l**4\/7 - 2970*l**3\/7 - 490983*l**2\/7 - 20596860*l\/7 = 0?\nAnswer: -795, -127, -68, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that -692*x**3 - 4567092*x**2 - 7535167200*x + 1176120000 = 0.\nAnswer: -3300, 27\/173","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -182 in 0.2, -3, 1.8, 2\/3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2662, 10773, 24296, 43225, 67554, 97277?\nAnswer: 132388","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c - 31*h + 29*h = -32, 28 = 4*c + 4*h for c.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) be the third derivative of i**4\/6 + 35*i**3\/6 + 25*i**2 - 2. Let q be a(-10). Let o = 0.2 + -0.6. Sort q, o, 5.\nAnswer: q, o, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 + -2 + -1 + 115 + -126?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 - (-29 - -2 - -52)?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 24 divided by 2\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1554 is divided by 1528.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2832 - -1969. What is f rounded to the nearest one hundred?\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 113, 124, 135, 146, 157?\n\"Answer: 11*l + 102","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 888 + -816. What is the greatest common divisor of 4 and q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -87*h**3 + 4*h**2 + 21*h + 20. What is the remainder when 20877 is divided by z(-1)?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:09 AM and 9:10 AM?\nAnswer: 481","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(50)\/((2*sqrt(640) + sqrt(640) - sqrt(640)) + sqrt(640) + sqrt(640)).\nAnswer: sqrt(5)\/32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 333\/2 + -166. What is the third biggest value in -4, b, 5, 0.27?\nAnswer: 0.27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -j**2 - 6*j - 2. Let h be a(-6). What is the closest to 2 in 2, 0, h?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(-1\/4)*i*i\/i**(-1\/2)*(i*i**(-2\/3)\/i)**(2\/39)*(i**(-6)\/(i\/i**(1\/9)))\/(i**(3\/7)\/i**(-7)) assuming i is positive.\nAnswer: i**(-4405\/364)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1452, 2907, 4354, 5787, 7200?\nAnswer: 8587","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15716 = 16*g + 13556. Let a = 34 + -14. Calculate the remainder when g is divided by a.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -8*x**2 - 1. Let s be k(-1). Let j = s - -25. 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 the closest to -0.1 in -4\/5, 0.5, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -837 + 837.1. Let c be (2\/(-24))\/((-3)\/8). What is the second smallest value in c, i, 1?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 4 + 41024?\nAnswer: 41032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/(s**(-1\/5)*s))\/(s\/(s*s**(-2\/7)\/s)) assuming s is positive.\nAnswer: s**(-38\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that 5*u**4 - 160*u**3 + 1650*u**2 - 4840*u - 6655 = 0.\nAnswer: -1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -731.18 to the nearest 100.\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) be the second derivative of -c**5\/20 - c**4\/2 + 7*c**3\/6 - 5*c**2\/2 + 67*c. Calculate w(-7).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/10*10*(-90)\/36?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1486493, -5946014, -13378559, -23784128?\nAnswer: -37162721","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 32 and 64?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*t**3 - 4*t**3 + 4*t**3)*(173 + 675*t + 677*t - 1356*t).\nAnswer: -12*t**4 + 519*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:53 PM and 1:38 AM?\nAnswer: 525","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1392 and 15069792?\nAnswer: 15069792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -10\/581783141?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 1323765?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 12\/157 - -2598\/2983. Which is smaller: d or 1?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 144 = -7*r + 4*u, 3*u = -5*r + 140. Suppose 4*a - r + 7 = 0. Let c be a\/15 + 86\/10. Solve 0 = 3*s + 4*v + c, -10 + 1 = 3*v for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -o**3\/5 + 4858*o**2 - 146106748*o\/5 - 16973323656\/5.\nAnswer: -(o - 12202)**2*(o + 114)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((4 - 3 - 2)*(43 - 268 - 61) + 2 - 5 + 1)*(-m**3 + 4*m**3 - 2*m**3) to q*m**2 + p*m + n + d*m**3 and give d.\nAnswer: 284","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1 - 4. Let f(n) = -2*n - 6. Let v be f(l). Let x be (-328)\/82*(-2)\/8. Sort v, x, 5.\nAnswer: x, v, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 3*x**2 - x - 4. Let v(f) = -5*f**2 + 3*f + 7. Let r(l) = 4*v(l) + 7*w(l). Let q be r(-5). Let d(h) = -h**2 + 7. Calculate d(q).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 91 + -50. Let l = -40 + b. Suppose 5*f + l = 6. Solve -7 = 2*y - f for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -911287*d**2*s**2 - 22*d*s**2 + 15*d - 399*s**2 + s wrt d?\nAnswer: -1822574*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) be the third derivative of 0 - 209*y**2 + 0*y + 1\/6*y**3 - 1\/3*y**4. Let j(c) = -c. Calculate j(o(q)).\nAnswer: 8*q - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 42, -1, -14, 41, -5 in descending order.\nAnswer: 42, 41, -1, -5, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -280.705166 rounded to the nearest ten?\nAnswer: -280","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -44012603 (base 7) in base 6?\nAnswer: -212433052","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.5 (b) 5 (c) -1 (d) -35\/66 (e) -40\/19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 * -1480705\nAnswer: -296141","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 25 - 23. Let i(j) = -4 - b*j**2 - 7*j - j**2 + j**2 + j**2. Let h(q) = -q**2 - 6*q - 7. Let z be h(-6). Give i(z).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2331003 - -44?\nAnswer: -2330515","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*h**3\/15 + 74*h**2\/5 - 1008*h\/5 - 1568\/15.\nAnswer: -2*(h - 28)**2*(2*h + 1)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 134759161 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4.1 + 3.7. Let i = p - 0. What is the biggest value in i, 3\/8, -4?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4659, -4662, -4665, -4668, -4671, -4674?\nAnswer: -4677","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 17569.87 kilometers to centimeters.\nAnswer: 1756987000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = x**2 + 2*x + 2. Let j = -10 + 15. Suppose -j*b + 32 = 2. Let f be 3\/(-6) + (-15)\/b. Give v(f).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:39 PM and 10:31 PM?\nAnswer: 172","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3900 or -42910\/11?\nAnswer: -42910\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = 27 + 1. Let n be ((-3)\/9)\/(-1)*-73. Let y = n - -24. Is h greater than or equal to y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 24 + -11 - -26 - (13 - -1)?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 5*q - q = -3, -19 = r - 4*q. Let o be 1\/((55\/(-20))\/r). Solve -o*j + 8*j = 0 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -23 + (-2 - -21) + 26\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 511*b**2 - 511*b**2 + 83*b**5 + (-2*b**4 + 1 - 1)*(-3*b + 2*b + 2*b) + 2*b**2 - 6*b**5 - 2*b**2 + b + b**5 - b.\nAnswer: 76*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 35 - 34. Let r be s\/1 + 5\/(25\/5). Suppose -r*h = 5*f - 5*h - 613, 3*f - 369 = 3*h. Is 21 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -31054*j + 1086889. What is a(35)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -18.44835 times 0.4?\nAnswer: -7.37934","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = o**2 - 2*o. Let w(y) = y**3 - 6*y**2 + 3*y - 12. Suppose 10 = n - 4*x, 4*n + 3*x - 20 = -x. Let r be w(n). Let f be v(r). Which is greater: -1 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.6 - 0.4. Let f be (-11 - 3838\/(-76)) + 12\/3. Put f, 1\/5, 3, t in ascending order.\nAnswer: t, 1\/5, 3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -13\/57 - 2\/19. Let g be (40\/12)\/((-4)\/(-6)). Let f(w) = w**2 - 6*w + 4. Let s be f(g). Does y = s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 8*n**3 + 2 - 8*n**3 + 3 - n**3 as x*n**2 + i + z*n + s*n**3 and give i.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 135 is divided by 58?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29 = r - 5*p, r - 5*p + 9 = 2*r. Suppose 4*j - 99 = -r. Is j a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.14 - -0.14. Let q = -6.8 - -6.8. Is q != r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1)\/(1 + -2)*3. Let c = t - 7. Suppose 4*r = 5*d + 35, -2*d - 3*r - 48 = d. Let p(g) = 5*g**3 + 11. Let j(w) = -2*w**3 - 4. Calculate c*p(u) + d*j(u).\nAnswer: 2*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence socb when four letters picked without replacement from boosssccssbb.\nAnswer: 1\/198","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/17 - (-7)\/(952\/16). Solve b = 2*q + 4*r - 3*r + 5, r + 5 = -5*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4 + 5. What is the biggest value in -3\/4, 0.3, 4, g?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-53725)\/630 - (1 - (-1)\/(-2)). Let l = b + 86. Let x = -3 + 1. Put x, l, -3, 2\/3 in decreasing order.\nAnswer: 2\/3, l, x, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-2\/5))**(-2\/7)*(w\/(w*w**(-1\/4)\/w)*w)\/w**0)\/((w\/w**(2\/9)*w*w\/(w*w**1))\/(w**(1\/3)\/(w\/(w\/(w**(2\/17)*w*w))))) assuming w is positive.\nAnswer: w**(-4237\/21420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*y + 2 = -8*y - p, -2*y - 3*p + 4 = 0. Suppose y*v - 23 = 3*f, -2*f + 0*f - 28 = -2*v. Calculate the remainder when 93 is divided by v.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - u = 0, 0 = 3*d - 5*u + 54. Let l = 16 - d. What is the remainder when 203 is divided by l?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 2*o + 9. Let k = o - 0. Let j = k - -17\/4. Are -1 and j nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (1\/2)\/(1\/(-2)). Put 3, -2, o in ascending order.\nAnswer: -2, o, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that -2*t**3\/9 - 524*t**2\/9 - 1042*t\/9 - 520\/9 = 0.\nAnswer: -260, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 89 is divided by 28.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 35, -14, -75, -154, -257, -390?\n\"Answer: -l**3 - 42*l + 78","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-7)\/(-266)*19)\/((-32)\/(-60)*3).\nAnswer: 5\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 133790761?\nAnswer: 13, 19, 31, 101, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4163, 4166, 4169?\nAnswer: 4172","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 9, -1\/4, 0.04881?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = -4, 5*v + b - 17 - 4 = 0. Let x be 1 - -1 - 4\/v. Factor x*u**4 + 0 + 4\/5*u + 14\/5*u**2 + 16\/5*u**3.\nAnswer: 2*u*(u + 1)**2*(3*u + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -3.07373498 to 3 decimal places.\nAnswer: -3.074","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 108 and 648972?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40*a = 21*a - 20*a + 123 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (291798\/(-168345))\/((-52)\/(-3))?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 5*r**2 - 2*r + 3. Give s(4).\nAnswer: 75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 2, v: 5, w: 1, f: 1}. Give prob of picking 1 f and 1 v.\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*d + 61909 - 30891 - 31024.\nAnswer: 3*d - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:23 AM and 5:11 PM?\nAnswer: 468","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (-1880)\/893 + 6\/57\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lliyllhillhyhllyyll. What is prob of sequence hl?\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -51\/79 and 17\/723482.\nAnswer: 723482","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 less than -754?\nAnswer: -753.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + 9 + (-10 + (-86 + 1 - 4) - -6)?\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 41436 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 448 = 317*r - 261*r for r.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -w**3 + 7*w**2 + 18*w + 13. Let j be u(9). Suppose 0*g - 13 = -g. Do g and j have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 141427263 to the power of 1\/10, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5458432.\nAnswer: 2, 7, 1523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 548956.6 centimeters to micrometers.\nAnswer: 5489566000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*k - 63 = 13*k. Put -5, k, 4 in increasing order.\nAnswer: -5, k, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*j + j = -3846. What is the hundreds digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-398*o**2 + 57*o**2 - 5 + 13*o**2)*(3 - 3 - o**2) + o**2 - 2*o**4 - o**2.\nAnswer: 326*o**4 + 5*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 259680 and 21640?\nAnswer: 259680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -942 = 67*m - 69*m. List the prime factors of m.\nAnswer: 3, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*t = 37878 + 11118. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) be the first derivative of 5*f**5\/4 + 3*f**3\/2 - 17*f + 19. Let u(o) be the first derivative of y(o). What is the second derivative of u(i) wrt i?\nAnswer: 150*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/19 in 0.02, -3.8, 5, 0?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) be the second derivative of v**4\/12 + v**3\/6 + v**2\/2 + 8*v. Let t(h) = -h**3 - 2*h**2 - 2*h - 2. Let l(z) = o(z) - t(z). Calculate l(-2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -646984464 divided by 24.\nAnswer: -26957686","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3808 and 6832980?\nAnswer: 476","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yxxyyyyy. Give prob of picking 1 x and 2 y.\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1.7 + -1.3. Let g(f) = -f - 1. Let n be g(-3). Sort -5, t, n in ascending order.\nAnswer: -5, t, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/2*(-2052)\/15390?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 157, 70, -229, -710, -1343, -2098, -2945?\n\"Answer: 5*p**3 - 136*p**2 + 286*p + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w\/((((w\/(w*w*w**9\/w))\/w*w)\/w*w*w)\/w))**(-39)*w*w**(1\/8)*w\/w**(-5\/6))**50 assuming w is positive.\nAnswer: w**(-255625\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*c - 17997698 = -29*c - 968237. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 58193683?\nAnswer: 109, 533887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 153 divide 50643?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 163 + -162. Let x = 6 + -10. Put a, x, -0.03 in decreasing order.\nAnswer: a, -0.03, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.01 or 15779?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1247*r = -1273*r + 52. Let g(y) be the first derivative of -7\/3*y**3 + 0*y**r + 3\/4*y**4 + 13 + 0*y. Find the third derivative of g(d) wrt d.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.3399 - -0.4399. Sort -0.2, m, 2\/7, 5, -1\/4 in ascending order.\nAnswer: -1\/4, -0.2, m, 2\/7, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 3*a**2 + 2*a - 35. Let x be c(0). Let j = -7 + 6. Let r be -3 - (j\/(-2) + x\/14). Let s(z) = 10*z**2 + z. Calculate s(r).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 78 and 24414.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -m**2 + 940*m + 39206. Calculate l(-40).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3 - 281. Let x = 439 + y. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l + 43 + 24 = 6*s + 53, -3*l = s + 7 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22346?\nAnswer: 2, 11173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 19 + 17 + 3*f**2.\nAnswer: 3*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12486.\nAnswer: 2, 3, 2081","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 1001000101010101111 (base 2) to base 9\nAnswer: 503258","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -148, -337, -540, -763, -1012?\nAnswer: -1293","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 314 and 21460.\nAnswer: 3369220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 21544502?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 101453362, 202906724, 304360086, 405813448, 507266810?\nAnswer: 608720172","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 5, z: 9}. Give prob of sequence znnz.\nAnswer: 60\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7167 + 17467. Is 20 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 divided by -40?\nAnswer: -13\/40","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, t: 3, q: 3, c: 4}. What is prob of picking 2 q?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a - 2*u - 2 = 0, -2*a + 3*u - 7 = -0*u for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*y**2 - 4*y**2 + 3*y**2)*(4 - 2 - 3)*(0 + 4 - 2)*(y - 3*y + 0*y).\nAnswer: -24*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -u**2. Let y(j) = j**2 - 30953*j - 31. Determine y(c(w)).\nAnswer: w**4 + 30953*w**2 - 31","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4168612, 8337456, 12506300, 16675144?\nAnswer: 20843988","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 2 + 6*u - 2 - 3*u. Let w(c) = 2*c**2 + 5*c**2 - 6*c**2. Determine w(j(i)).\nAnswer: 9*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -5 (b) 0.5 (c) 123 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 v when four letters picked without replacement from gvggggvvgg.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = u - 1. Let a(p) = -4*p + 3. What is -a(i) - 5*k(i)?\nAnswer: -i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 9, -8, -43, -102, -191, -316?\nAnswer: -483","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2658857 to the power of 1\/4, to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -o**4 + 70*o**3*x - 8*o**3 - o*x - 881100*x wrt o.\nAnswer: -12*o**2 + 420*o*x - 48*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 432491 a multiple of 106?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a millennium in decades?\nAnswer: 24","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 17782, 17798, 17814?\n\"Answer: 16*j + 17766","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 90\/(-5)*2\/((-24)\/2)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = 4*f + 5. What is the remainder when 19 is divided by f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = 4*h + 7, h = 4*u - 22 - 1. Suppose -u*t - 4 = -t. What is the units digit of (2\/(-4))\/(t\/6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*sqrt(13)*2 + 1.\nAnswer: 1 + 4*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 390582.3 litres in millilitres?\nAnswer: 390582300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are -4547 and 3.9402 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -3*y + 10. Let a be w(3). Let i(q) = 6*q**3 + q - 2. Let n be i(a). Solve -23 = -g + 2*d - 7*d, -5 = -n*g - 3*d for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in one quarter of a micrometer?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1855 and 3339?\nAnswer: 16695","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 u and 1 f when four letters picked without replacement from {u: 3, j: 16, f: 1}.\nAnswer: 1\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*v = -u - 6*v + 1568, 3*u + v - 4704 = 0. Is 14 a factor of (6\/7)\/(8\/u)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 398e - 5?\nAnswer: 3989","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18113052 = 183*g - 344*g - 187*g. Is g a multiple of 119?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27 = 15*m + 33 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -37, 3, -5\/4?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/(m**(-1\/6)\/m*m))\/(((m*m**(4\/7))\/m)\/m))**22\/(((m**0\/m)\/((m**(4\/7)\/m)\/m*m))\/(m**(-3\/2)*m*m\/(m*m**5*m))) assuming m is positive.\nAnswer: m**(175\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 12*d**2 + 22*d - 59. Let i(p) = 2*p**2 - 14. Give 5*i(g) - k(g).\nAnswer: -2*g**2 - 22*g - 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -36592 to the nearest 10000.\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((672\/(-40))\/7)\/(19\/((-855)\/234))?\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 496 divided by 4.\nAnswer: 124","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3 + 5. Suppose -k - l = -3*j, 0*k + 2 = 2*k. Calculate the common denominator of j - (0 + (-28)\/(-44)) and 2.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 35 = 3*n + 2*n, -f - 3 = n. Let q be (8 - f)\/(1 - -1). Suppose q*a = -h - 3*h + 51, 2*h = 0. Solve 4*u + 13 = -3*y, -y = -3*u - a + 4 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (18\/120)\/(3\/24)*1\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(68) - sqrt(68)*2*2) + sqrt(68))\/((1*sqrt(8))\/sqrt(2)).\nAnswer: -2*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 571\/4, -1\/31, 2\/9, -0.2?\nAnswer: 571\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence quq when three letters picked without replacement from {u: 16, q: 4}?\nAnswer: 8\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 144\/(-3520)*135\/225*80\/(-18).\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 3 (b) -686 (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-23)\/(-7) + 4\/(-14). Let f be 4*(-3)\/6 + h. What is the remainder when (-20)\/(-3 - -2 - f) is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -49\/6024 and 97\/726.\nAnswer: 728904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 330 - 327. Which is smaller: t or 19\/9?\nAnswer: 19\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 0.3385248um?\nAnswer: 338.5248","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -o - 7. Let k be z(-13). Suppose -k - 54 = 12*s. Let x = 0 - 2. What is the third biggest value in s, 0.8, x?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -221 = -11*m + 7864. Let d be ((-3)\/1)\/(-9)*m\/20. Which is smaller: d or 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h**5 - 70*h**4 - 120*h**3 + 730*h**2 - 845*h + 300 = 0 for h.\nAnswer: -4, 1, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0, -0.3, 0.024?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = x**3 - 3*x + 5. What is the least common multiple of (-10)\/(-3)*(3 - 0) and i(0)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 272 and 2074.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 79526418 to the power of 1\/6, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3138 = 5*w - 232. Suppose 0 = 4*y - 2*j - w, 2*y + 4*j - 341 = j. Let f = 237 - y. Is 24 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -30*m + 37*m**2 - 44*m**2 + 42*m**2 + 21. What is the units digit of a(5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 371 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate i*t + 1371*i - 2*t**3 + 361*t**2 with respect to t.\nAnswer: i - 6*t**2 + 722*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 0*v - 12 = -2*m, 2*v - 12 = -2*m. Is -2\/5163 equal to v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in fifteen quarters of a centimeter?\nAnswer: 37500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 223503*a - 223503*a + 2*a**3.\nAnswer: 2*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 601569.3ug to tonnes.\nAnswer: 0.0000006015693","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1595 is divided by 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 15 + -17. Let t(d) = -3*d**2 + 10*d + 3. Let l(x) = x**2 - 3*x - 1. Let y(o) = 7*l(o) + 2*t(o). Let z be y(p). Solve -12 = z*i + 8 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -18 + -18558416748.\nAnswer: -18558416766","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 107134044 is divided by 185353.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -f**2 + 10*f - 9. Suppose 2*d + 5*v + 4 = 32, 2*d = 4*v + 10. Let s be z(d). Which is smaller: s or -2\/43?\nAnswer: -2\/43","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 8*t**2 - 2*t - 9 + 0*t - 2*t + 3*t**2 + 2*t**3. Let i = -19 + 10. Let p be q(i). What is p rounded to the nearest 100?\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*h**2\/11 - 1042*h\/11 - 43364.\nAnswer: 2*(h - 814)*(h + 293)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -19\/14 and -107\/1038.\nAnswer: 7266","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2.8 - -2.2. Put -5, -1\/3, y in increasing order.\nAnswer: -5, -1\/3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 4\/3479 or 0?\nAnswer: 4\/3479","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -4 + 138\/8 + 1\/(-5). Let q = -59\/5 + w. Let j = 57.5 - 58. What is the third smallest value in q, j, -0.2, -2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 - (-5 + (-5)\/3*3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3127 + 3121 = x for x.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -2322065118 divided by -6\nAnswer: 387010853","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 1 + -4 + 1 + 23 + -22 - -10\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1 (b) 0.1483 (c) -8\/33\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -246 - a?\nAnswer: -253","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -70*z - i = -73*z - 53848, -z - 17932 = 4*i. Is z >= -17948?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = s - 2*l - 9, 5*l = 5*s - 20. Let p = 1943 - 1939. Calculate the greatest common divisor of p and s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 144*j**2 + 60*j?\nAnswer: 288","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 222 by -7531.\nAnswer: -222\/7531","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t = -3*o, -2*t - 5*o = -0*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0*(-3)\/(12\/2). Suppose 6 = -3*l, -4*g + 2 = -u*g + 3*l. Solve 5*b - g = 4*b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0 - 1. Let r = -1.5 - c. Let a = 399 - 400. What is the nearest to a in r, 5, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 269114 and 50670?\nAnswer: 1126","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13111001003 (base 4) to base 7.\nAnswer: 22220564","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -599 + 697. What is the least common multiple of 14 and c?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -39*s + 4. Let z be y(-7). Let v = 576 - z. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = -x - 0*l + 12, 2*l = -5*x - 8. Solve 13 = -x*h - 2*h + o, 3*h - 2*o + 21 = 0 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 2*z**3 - 18. Let t(d) = -d**3 + 9. Let h(o) = -2*m(o) - 5*t(o). Let a(q) be the first derivative of h(q). Let x(b) = 2*b. Determine a(x(k)).\nAnswer: 12*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 257 + 1 = 0. Let n(p) = -46*p**2 + 280*p - 15. Let w be n(6). What is the remainder when (-3)\/(-1)*(y\/w - 5) is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 6*f**3 - 6*f**2 - 6*f. Let c(i) = 5*i**3 - 5*i**2 - 6*i. Let z be 9\/12 + (-18)\/(-8). Let j(m) = z*c(m) - 2*d(m). Solve j(r) = 0 for r.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 7*j - 5. Let q(u) = 4*u - 3. Let m(b) = 5*q(b) - 3*z(b). Let i(d) = 8*d. What is i(m(w))?\nAnswer: -8*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = 5*y. Suppose -4*f - 66 = -3*p - f, y = -4*p + 2*f + 78. Does 7 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-19)\/5 - -1) + (-108)\/(-36). Let w = -1.4 + 0.4. What is the closest to -1 in v, -1\/10, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 41, -2, -393, -3115 in increasing order.\nAnswer: -3115, -393, -2, 41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 2926532130 to the power of 1\/6, to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*z**3 - 27*z**3 + 8*z**3.\nAnswer: -4*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 11202 (base 6) to base 4\nAnswer: 120302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5232157118?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = t - 20. Give z(29).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10 + -6 - (8 + -6 + -8 + 10)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ooo when three letters picked without replacement from {y: 6, o: 7}.\nAnswer: 35\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 29, 37, 17, -43, -155?\nAnswer: -331","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 535 minutes after 5:56 PM?\nAnswer: 2:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3 (b) 3 (c) 0.05 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 248 and 31?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 32 (b) 6 (c) -17 (d) 14\/5 (e) -3 (f) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (a**2 - 2 + 2)*(1082*a + 596*a + 1004*a)*(-3*a + 0*a + 5*a).\nAnswer: 5364*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 72*g**4 - 2544*g**3 - 1750*g**2 + 794*g - 72 = 0. What is g?\nAnswer: -1, 1\/6, 36","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-603)\/(-21) + 2\/7. Suppose 4*s + 5*u = -f, -14 = -4*s + 5*u + 7. Let l = -460\/7 + 66. Which is the nearest to s? (a) l (b) -2 (c) -3\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 28 or -87?\nAnswer: 28","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -386?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 2 - 19 - 1 - 4 - (-37 - -38)\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4828707*q + 142 - 142 - 4831531*q.\nAnswer: -2824*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 - 2 - (-32 + 18).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 16 = -3*s. Suppose s = 3*q - 5. Suppose -3*o + 52 = 2*d, 4*o - 2*o = q*d + 13. Calculate the remainder when 41 is divided by o.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = m**3 + 4*m**2 - 10*m - 25. Let w be k(-5). Suppose -2*u + 0*p + 696 = -4*p, w = 2*u - 3*p - 698. What is the highest common factor of u and 44?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.1697 - 0.0303. Sort 0.1, -10, -2\/7, -3, o in decreasing order.\nAnswer: 0.1, o, -2\/7, -3, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.001155 rounded to four dps?\nAnswer: 0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 1\/4 (b) 1 (c) 203.4 (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (42\/168)\/((-2)\/(-24)). Let t(f) = 771*f - 76. Is t(i) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1383*w = 5*d - 1381*w - 78, -w = -d + 10 for d.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1 - -2. Let z(x) = -4*x - 29. Let n(o) = 2*o**2 - 12*o + 18. Let d be n(5). Let k(j) = -j - 11. Let g(r) = d*k(r) - 3*z(r). What is g(s)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1470125.7 to the nearest 10000.\nAnswer: -1470000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by -68009578\nAnswer: 5\/68009578","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.1 times 9?\nAnswer: 36.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 8648 - 8647.4. What is the closest to 10 in r, 8, 2?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -18, -55, -114, -201, -322?\nAnswer: -483","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-32*r**3 + 18*r**3 - 7*r**3)*((-1 + 4 - 1)*(0 + 1 + 1) + 8 + 2 + 7)*(2*r**2 - 5*r**2 + 2*r**2).\nAnswer: 441*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -4, -14\/2013469 in ascending order.\nAnswer: -4, -1, -14\/2013469","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 3, k: 1, g: 3}. Give prob of picking 2 z.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 <= -4\/241755?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand 37*x + 2*x**3 - 37*x - 19*x**5 + (0 - x + 0)*(x**4 + x**2 - x**2) + x**3 + 0*x**3 - 102*x**5 + 107*x**5.\nAnswer: -15*x**5 + 3*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -22.1985 rounded to 1 decimal place?\nAnswer: -22.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*f**3 + 5*f + 6*f**3 - 12*f**3 as b + s*f**2 + z*f**3 + q*f and give q.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 5*m = -825, u - 890 = 2*m - 51. Calculate the common denominator of 10 - 3 - 3 - u\/200 and -39\/8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -1\/5, 3\/2, 2357845.\nAnswer: -1\/5, 3\/2, 5, 2357845","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Are 15587532 and 15587526 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 14270294*x**5 - 21217083*x**2.\nAnswer: 856217640*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 609.5 - 609. What is the second smallest value in 7, -1, -1\/16, q?\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-10)\/10)\/((1\/3)\/((-2)\/(-6)))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -18 - -23. Suppose 3*h + 234 - 12 = 3*f, 2*f - 3*h = 148. Suppose j*c + 24 = f. What is the tens digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 74 = 2*a - 2*q, 90 = 4*a + q - 63. Calculate the remainder when 120 is divided by a.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n + 8 - 6 = -2*f, -6 = 5*n + 4*f for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1688745 to the power of 1\/3, to the nearest integer?\nAnswer: 119","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1, 2, 9, 20, 35, 54, 77?\nAnswer: 104","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = 5 - 17. Let q(t) = t**3 + 5*t**2 + 7. Let i be q(z). Let w = i + 95. What are the prime factors of w?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 18*d**3 - 12*d**2 - 5*d - 5. Let h(x) = -45*x**3 + 30*x**2 + 12*x + 12. Let a(z) = -12*g(z) - 5*h(z). What is the third derivative of a(n) wrt n?\nAnswer: 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 2*d**3 + 21*d**2 + 86*d + 245. Calculate s(-6).\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s - 1197*h + 1196*h - 7 = 0, -11*s - 27*s + 9*h + 2 + 67 = 0 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 2*d - j + 6 = 0, -4*j = 5*d - 35. Calculate the greatest common divisor of d and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -155*f**2*x + 4838*f**2 - 29458*f*x wrt f?\nAnswer: -310*x + 9676","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 105 - 0. Suppose -4*i + 5*m = -231, -2*i + 0*i - m = -n. Let s be ((-6)\/9)\/((-4)\/i). Solve s = -h - 2*h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3654 divided by 261.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -11566*c**2 - 46215*c + 196.\nAnswer: -(c + 4)*(11566*c - 49)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (-1 + 1*(sqrt(19) - (sqrt(19) - (sqrt(38)\/sqrt(2) + 2))))**2 + -2.\nAnswer: 2*sqrt(19) + 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 15 = -0*w. Suppose 0 = 2*v + 5*f + 16, 10*v - 5*v + w*f + 2 = 0. Let x be 3\/(-15) - (1 - 1). Which is the closest to x? (a) -4 (b) v (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 216996?\nAnswer: 2, 3, 13, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-308)\/(-88))\/(-7)*8*(-4)\/376?\nAnswer: 2\/47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (1462*t**2 + 1478 - 738 - 740)*(-1 - 4 + 4) in the form r*t + g*t**2 + l and give g.\nAnswer: -1462","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 316?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 2260.13649 rounded to the nearest integer?\nAnswer: 2260","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -9 - -16. Let s be (-4)\/(-14) + 26\/f. Suppose -s*m - 4 = -5*x, 0 = -4*x - x + 20. Solve -4 - 4 = m*o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 318828024?\nAnswer: 2, 3, 23, 192529","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) be the second derivative of d**4\/6 - d. Let q(j) = -15. Let z(r) = r + 18. Let s(b) = 6*q(b) + 5*z(b). Give s(p(t)).\nAnswer: 10*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = 5*b - 11, -3*v - 2*b = -2 - 7. Let o = 4 - v. Let g be (-4)\/o*(-1)\/(-8). What is the nearest to -0.1 in -1\/4, g, 0.3?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7774811 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -42340, -84218, -126108, -168016, -209948?\n\"Answer: -i**3 - 41871*i - 468","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -20\/11 (b) 8 (c) -0.07 (d) -21\/2 (e) 0.5 (f) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gbbbbgbbbbgbbgbb. What is prob of sequence gbgg?\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 99 = y + 26, 0 = -3*p + 15. Calculate the remainder when y is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 6089\/4 - 55\/44. What is the common denominator of p\/(-260) - (-1)\/5 and (284\/42)\/((-4)\/(-3))?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 39\/(-6)*(-1054)\/(-221).\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33980029 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -3 + (2 - 1) - (67 - (-90 - -152))\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 177, 2, -7, -6, 0.\nAnswer: -7, -6, 0, 2, 177","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1033*x - 287026 = 1029*x + 5*t, -x + t + 71755 = 0. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-2\/13)*m**(1\/9)\/m)\/(m*m*m*m*m**0*m)**28 assuming m is positive.\nAnswer: m**(-16502\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z\/((((z\/z**(-3\/7)*z)\/z*z*z)\/z)\/z)*z*z**(1\/11)\/z*z)**(2\/11))**10 assuming z is positive.\nAnswer: z**(2560\/847)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u - 11*u = -u - 33 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1347 is divided by 56.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 237077239\/1430 + -828869\/5. Let p = -3\/143 - h. Let x = 15 + p. What is the nearest to 0 in x, 4, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*y - 6 = 9*y - 2*j, -8 = 4*y + j for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 3 - a48?\nAnswer: -a45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out 124.646 - 0.1.\nAnswer: 124.546","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is p in 3*p**5\/2 - 57*p**4 + 42*p**3 + 513*p**2 - 999*p\/2 = 0?\nAnswer: -3, 0, 1, 3, 37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -501 + 409. List the prime factors of w\/115 - (-1228)\/10.\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/5, 3988, 4 in increasing order.\nAnswer: 2\/5, 4, 3988","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-3\/7)\/(b\/(((((b\/b**(2\/5))\/b*b)\/b)\/b)\/b)*b))**(2\/29) assuming b is positive.\nAnswer: b**(-338\/1015)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1027*j**2*r**2 - 15*j*r**2 - 3*r**2 wrt j?\nAnswer: -2054*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zz when two letters picked without replacement from zkzv?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -112*i**4*j*m**3 + i*j**2*m + 2*j**2 + 4*j*m**2 - 59*m**3 wrt i?\nAnswer: -448*i**3*j*m**3 + j**2*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 + (1 - (18 - 8)) - -5?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 413410527 is divided by 19.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 at most as big as 1072262?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-13)\/(-5) + 8\/20. Suppose 0*u - 8 = -2*u + 5*d, -8 = -2*u + 2*d. Suppose 3*q - 3*o = 0, u*o - 15 = o. Solve q*j - f = 2 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -59*t - 87*t - 32*t.\nAnswer: -178*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -9*q**2 + 2*q + 5. Let d be w(5). Let t = d - -327. Calculate the highest common divisor of t and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*w + 19 - 39 = 0. Let q(f) = 40*f + 50. Let b(u) = -u - 1. Give w*q(v) - 50*b(v).\nAnswer: 10*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 333056930?\nAnswer: 2, 5, 43, 774551","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*n**2 - 56*n + 4*n**3 + 56*n as z*n**2 + o*n**3 + l + c*n and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 6) to base 13.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 3*g**2. Let s(k) = 4*k**2. Let u(a) = -6*r(a) + 5*s(a). Let v(f) = -43*f**2. Calculate u(v(c)).\nAnswer: 3698*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -156740\/39 + 4019. Let y(f) be the second derivative of 1\/78*f**4 + 9*f + 1\/65*f**5 - a*f**3 + 0*f**2 + 0. Factor y(m).\nAnswer: 2*m*(m + 1)*(2*m - 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/7, -0.3, 5, -1, 42, -0.101 in ascending order.\nAnswer: -1, -0.3, -0.101, 2\/7, 5, 42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2352245 is divided by 14520.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3 + 31645?\nAnswer: 31651","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -8*k + 3. Let w(r) = -r**2 - 1. Let b(s) = d(s) + w(s). Let h be b(-8). Is (20\/(-2))\/((-1)\/h) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27 = -t - 4*z, -4*t - 8*z = -11*z + 6 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 1, o: 3, p: 4}. Give prob of sequence ppp.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - w = -3, -5*t + 3*w - 15 = -2*w. Let v be 1\/(-9) + 370\/90. Suppose -12 = v*c - 6*c. Solve 5*d - 3*d - c = t for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -3 + 30\/5 - 1. Suppose z*r + 106 = -3*y, 3*y + 224 = -0*r - 4*r. Let p = r + 103. Calculate the remainder when p is divided by 16.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 429 + 461 = 5*n. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 9*n**2 + 2*n - 1. Let v be b(1). What is the greatest common factor of v and 110?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 5\/(15\/2)*27. Suppose 0*q - 2*q + 4*i = -g, 3*q = -5*i + 60. Does 4 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*v = 10*v + 48. Is (-11 + 1)*(-2076)\/v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k when two letters picked without replacement from {z: 9, q: 4, m: 2, k: 4}?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2507 - -2507.01. Sort 0.1, 9, d, -1\/4 in descending order.\nAnswer: 9, 0.1, d, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1812228 to the power of 1\/3, to the nearest integer?\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -362b2b (base 12) to base 3\nAnswer: -1122111121222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = v**2 + 6*v + 1. Let q be i(-6). Let d be (q\/15)\/((-4)\/10). Which is bigger: d or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 45793 - 95711. Let p = c + 300515\/6. Let z = p + -2651\/15. Find the common denominator of -49\/12 and z.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3 + 6. Let n(s) = s**2 + 8*s - 15. Let b be n(2). Find the third derivative of 6 - 3*y**2 - 11 - 7*y**l + b wrt y.\nAnswer: -42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1*1\/(1 + 0). Let f be v + 8\/2 + -3. Factor -9*l**3 - 2*l + 11*l**3 + 0*l**2 - f*l**4 + 2*l**2.\nAnswer: -2*l*(l - 1)**2*(l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 13*x**2 - 8*x - 40. Let r be 2\/((-4)\/(-40) - 0\/(-1)). Let k be c(r). Round k to the nearest one thousand.\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(((sqrt(208) + 2*sqrt(208))*-3 - ((-1*sqrt(208) - sqrt(208)) + -2))*1*-5)**2.\nAnswer: -2800*sqrt(13) + 254900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.005 in 2\/7, -127\/2, 4?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 100738549.\nAnswer: 17, 5925797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 76 - 5. Let u = 76 - v. Solve 2*n - u*c + 0*c = 0, -4*c = 3*n - 23 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27*v + 14*v - 15*v.\nAnswer: 26*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 155 + -152. What is the units digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -20.8626 + 0.1926. What is s rounded to 0 decimal places?\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 q when two letters picked without replacement from zdzqqkkkzzkd.\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4.23 - 2.23. Suppose -l + 0 - 6 = -3*j, 4*j = 4. Put 2\/7, s, l, -1 in ascending order.\nAnswer: l, -1, 2\/7, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 6, k: 3, m: 1, o: 2, y: 4, c: 2}. Give prob of sequence ooyy.\nAnswer: 1\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o**2\/6 - 168448*o\/3 + 336895\/6 = 0. Calculate o.\nAnswer: 1, 336895","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 1 (b) -8.71 (c) -4\/7 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -5\/21664 and -25\/159772.\nAnswer: 1278176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-5)\/50*-5)\/((-1)\/10). Is -30\/7 at most as big as a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -71*d - 70*d = 41*d - 4186 for d.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2373 is divided by 141?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 12 = 5*l. Let y(r) = -r**3 + r + 2. Let b be y(l). Is 10 a factor of (b\/12)\/((-147)\/(-144) + -1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((1\/(-2))\/((-1)\/(36\/81)))\/((-1339)\/309).\nAnswer: -2\/39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 4*p - 6. Let a(c) = c**3 + c**2 + 37*c + 37. Let m be a(-1). Determine r(m).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 306 by 39595.\nAnswer: 306\/39595","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -c - 2. Suppose 3*l = 2*j + 82, -c*l = -2*j + j - 86. Does 15 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 2 = 4*i, -5*i = y + 16. Let z = y - -26. Suppose -95 = -8*x + 3*x. Do x and z have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24168.\nAnswer: 2, 3, 19, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = y**2 + 6*y - 6. Suppose 21*z = 975 - 1227. Give m(z).\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that 5*x**2 - 1759040*x + 1759035 = 0.\nAnswer: 1, 351807","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -157 + -40. Let l = 199 + r. Put 4, 5, -2, l in decreasing order.\nAnswer: 5, 4, l, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 302 minutes after 9:22 PM?\nAnswer: 2:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4\/10 - (-1944)\/40?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 34822842815 + 0.11.\nAnswer: 34822842815.11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -29 - -24. Let o(z) = -z**3 - 4*z**2 + 6*z + 2. Determine o(v).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen fifths of a millennium in decades?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-41 - -23) + 31 - 24) + (1 - -44).\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 70086945?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-396)\/(43956\/(-555))*(-66)\/10?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.9 + 0.7. Let t = p - -3.2. Let d = t - 4. What is the second biggest value in 2, 5, d?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5971552329 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -j. Let z(f) = -f + 0*f**2 + 1 - 4*f**2 + f**2 + f**2. Let t(m) = -2*r(m) + z(m). Let b(l) = 6*l**2 - 4*l - 4. Determine 2*b(k) + 7*t(k).\nAnswer: -2*k**2 - k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -30663105 + 5?\nAnswer: -30663100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3111?\nAnswer: 3, 17, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -313 - -2243\/7. Calculate the common denominator of 3 + 244\/(-36) + 4 and p.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4586?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*d - 4*d + 0*d**4 + d**3 + d**4 - d in the form q*d**2 + z*d**3 + n*d**4 + r + x*d and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 16613?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -1. Suppose -h + 4 = 0, 4*l + 2*h - 36 = -3*h. Let a(r) = -l - r + 7 + 0*r. Suppose 5 = -7*x - 9. What is x*a(u) - 5*q(u)?\nAnswer: 2*u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 29 = 3*u. Suppose -5*w = 4 - u. Solve 7 = -w*s - 18 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 - ((-2 - -2) + (-8 - -5))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -471*o**2 - 275 wrt o.\nAnswer: -942*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 245106 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -684270 to the nearest 10000.\nAnswer: -680000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange l**3 - l**3 + l**3 + (-3*l**2 + 9*l**2 + 2*l**2)*(-23*l + 11*l + 57*l) to the form f + v*l + z*l**2 + y*l**3 and give y.\nAnswer: 361","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-9)\/6*80\/(-6). Let v(w) = -5*w - 10. Let z be v(-6). Calculate the greatest common factor of c and z.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 495 and 77.\nAnswer: 3465","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -1062*s + 33982. Calculate n(32).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 679382.\nAnswer: 2, 11, 30881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -115*c**2 - 3346*c - 203. What is g(-29)?\nAnswer: 116","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -332*k - 20149. Calculate y(-61).\nAnswer: 103","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 374376776 to the nearest integer?\nAnswer: 19349","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 20 = m, m + 2*m = -5*d. Suppose 0 = 3*a + a. Solve o - d*o = a for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/56? (a) 1\/12 (b) 1\/2 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -99, -237, -375, -513, -651?\nAnswer: -789","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 2*m + 2*m. Let g = 22 + -16. Solve -l - g - m = 4*x, l = -x - 1 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 36.5964 rounded to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 10*k**2 - 4 + k**3 - 2 + 9*k + 4. Let y be q(-9). Let i(b) = -5*b**3 - b**2 + 1. Let w be i(-1). Sort w, -4, y.\nAnswer: -4, y, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c, 1 x, and 1 a when four letters picked without replacement from {x: 12, a: 1, c: 2, s: 3, h: 2}?\nAnswer: 4\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) 2 (b) -1 (c) 3 (d) -8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x = 4*q + 1, -q + 2*x = 3 - 9 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 418077 to the nearest integer?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 579 is divided by 8?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is z in 4*z**2\/5 - 37104*z\/5 + 1209808 = 0?\nAnswer: 166, 9110","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -21162*d**5 + 1266*d**2 wrt d.\nAnswer: -1269720*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*g + 4*g + 2198 = 0. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 24*l - 26. Let g be b(5). Let a = 139 - g. Suppose -43*o = -a*o + 140. Calculate the highest common factor of 42 and o.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/15*125\/(-75)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3*(-2)\/(-14)*196\/224.\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) be the first derivative of -2*v**3\/3 + 4. Let o(k) = k**2 + 5*k - 4. Let z be o(-6). Let a(f) = -37*f**2 + 19*f**2 + 11*f**z. Give a(n(m)).\nAnswer: -28*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 148618541 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -30334 (base 5) to base 10\nAnswer: -1969","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) be the first derivative of r**3\/3 + r**2\/2 + r - 1. Suppose 7 = 5*n - 8*b + 9*b, -4*n - 4*b = -12. Let q(m) = 4*m**2 + 3*m + 3. Give n*q(k) - 3*j(k).\nAnswer: k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -1326*m + 5573. Give g(4).\nAnswer: 269","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1564307 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 7607 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -q**2 + 5*q + 1. Let c be (-15)\/3*(1 + -5). Let g = -14 + c. Let k be u(g). Put k, 3, -2\/13 in descending order.\nAnswer: 3, -2\/13, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (18*w - 10*w + 10*w)*(-10*w - 4*w + 9*w).\nAnswer: -90*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.03 and -0.128.\nAnswer: -0.098","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 1. Let n(p) = -2*p - 1. Let r be n(-1). Let q(m) = -2*m + 3. Let j(a) = -4*a. Let f be j(1). Calculate f*v(d) + r*q(d).\nAnswer: -2*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -222, -289, -356, -423, -490?\nAnswer: -557","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 398982 and 522.\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = j**2 - 1. Let l be h(-1). Let n be 24 - (-7 + (7 + -4)\/3). Let c be n\/(-6) - 70\/(-5). Solve 6 = -t + 2*o - l*o, c = t + 3*o for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -12034332 + -2?\nAnswer: -12034334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -2.66*-4\nAnswer: 10.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x - 4*o - 22 = -14, 0 = -x + 4*o + 8 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) be the second derivative of m**4\/6 - 3*m. Let o(j) = -18*j**2. Give o(i(d)).\nAnswer: -72*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -14 + 14. Let z(w) be the first derivative of w**3\/3 - w**2\/2 - 3900000*w - 2. Let k be z(m). What is k rounded to the nearest one million?\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/11, 3, 1\/13, -16, 0.1, -5, 6?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 7*i + 17. Let f be a(7). Let z = 3 + f. What are the prime factors of z?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -k - 5. Let l be 32\/(-6) + (-4)\/6. Let j be a(l). Let i be (-34)\/85 + (-34)\/(-10). Put -1, j, i in decreasing order.\nAnswer: i, j, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -2*y + 2. Let g(a) = -a**2 - 5*a + 5. Let l(w) = -2*g(w) + 5*s(w). Let i(j) = 6*j**2. Calculate l(i(c)).\nAnswer: 72*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 106\/3 - 335\/(-402)*24\/(-15). Solve 20 = 14*f + n for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 3*k**2 + 8*k - 8. Let s(w) = -2*w**2 - 5*w + 5. Let o(g) = -5*l(g) - 8*s(g). Let p(m) = 3*m**2. Give o(p(n)).\nAnswer: 9*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) -2\/5 (b) -0.3 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -159*t - 2196 = -708*t. Find l such that 0 + 27\/5*l**3 + 6\/5*l + 3*l**t + 21\/5*l**2 + 3\/5*l**5 = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**1\/l**2)**(-45)\/(l**(-1\/7)*l**(3\/2))**(-26\/7) assuming l is positive.\nAnswer: l**(2452\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -28415281.47 rounded to the nearest one million?\nAnswer: -28000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 3*t**2 - t + 1. Let y(w) = 3*w**2 - w + 1. Let i(h) = 5*o(h) - 4*y(h). Let b = -47 + 48. Determine i(b).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2 + -7. Let i = x + 47. Let k = i + -38.00033. What is k rounded to four dps?\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00479 to 3 dps.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -14a3 (base 13) in base 2?\nAnswer: -101110111110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 224 + 56525*m + 214 - 438 + 56564*m - 113090*m.\nAnswer: -m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0\/(6\/(-3))*1. Suppose 4*i - 57 = 5*z, -2*i - 3*z + 5*z + 26 = f. What are the prime factors of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.75 to 1 decimal place.\nAnswer: -2.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 743013075*b**2*t - 731816082*b**2 wrt t?\nAnswer: 743013075*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(171))**2 - ((sqrt(19) - sqrt(38)\/sqrt(2))*1)**2 - (((sqrt(76) - (sqrt(76) - (1 + sqrt(76) + -1))) + sqrt(76))**2 + -4).\nAnswer: -125 + 12*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3 + 5. What is the third derivative of 2*j**2 + 0*j**r - 3*j**5 + j**2 - j**2 wrt j?\nAnswer: -180*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 25\/100362 and -11\/4206.\nAnswer: 70353762","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) be the first derivative of -c**5\/4 + c**3\/2 - 28*c + 15. Let j(p) be the first derivative of a(p). Find the second derivative of j(f) wrt f.\nAnswer: -30*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 2, v: 1, s: 1, k: 2, b: 5, q: 2}. Give prob of picking 1 b and 1 j.\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3681924.\nAnswer: 2, 3, 306827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 959919?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = r**2 - 8*r + 12. Let g be y(6). Suppose 0 = -g*i + 3*i + l + 193, 4*l = 3*i + 188. Let m = i + 90. What is the units digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 65066.33 nanoseconds?\nAnswer: 65.06633","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*b**6 - 26*b**5*k**3 - 2*b**2*k**3 + 15*b*k**2 wrt b.\nAnswer: 240*b**3 - 1560*b**2*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is (0 + -4)\/(26\/(-1079)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -u**3 + 4*u**2 + 6*u. Let b be m(5). Suppose 4 + 6 = -b*z. Let y = z + 2. Solve -3*o - 5*p - 2 = y, 5*o - 17 + 7 = 5*p for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/5 of a meter in centimeters?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 649 and 590?\nAnswer: 6490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 776714387 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 4, 43, -5, 0.2, 0.1, -0.4?\nAnswer: 43","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = z**3 + 16*z**2 + 12*z - 17. Let y be g(-15). Suppose i = -s + y, -3*s - 3*i = 2*s - 148. Does 10 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (12\/(-10))\/(6\/(-40)). Let c(o) = -o**2 + 8*o - 1. Let h be c(d). Let f = h - -2. What is the units digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*x - 4*x - 3*x + 4)*(-24 + 0 - 5) - 2 - 2*x + 2.\nAnswer: -60*x - 116","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*r - 11 + 8, k - 3*r - 17 = 0. Calculate the remainder when 438 is divided by k.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-9)\/3 + 4)*0. Let p be (-9*1)\/(0 + v + 1). Let c be ((-2)\/(-24))\/((81\/(-60))\/p). Is 1 less than c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 178225 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 268 is divided by 83.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((x**(-36)\/x*x)\/x)\/x)\/(x*x\/(x\/(x*x*(x**(3\/14)\/x)\/x))))**(4\/9) assuming x is positive.\nAnswer: x**(-122\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 25896816271 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 7 - 4 - 1 + m + 7. Let c be z(-7). Solve -26 = -4*l - c*a, -2*l - 8 = l - 4*a for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 3, h: 8}. What is prob of sequence kk?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*j**2 + 2*j**2 + 0*j**2 + 3*j**2 in the form y + k*j**2 + r*j and give k.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2.3 (b) 19 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -5, 25846, -4 in descending order.\nAnswer: 25846, 3, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 41 times 0.5?\nAnswer: 20.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 1, x: 5, i: 5, f: 5}. Give prob of sequence fiix.\nAnswer: 25\/2184","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9704, 47, -5.\nAnswer: -5, 47, 9704","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -51 + -66. Let c = p + 158. Is c a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in ten thirds of a century?\nAnswer: 4000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 610*j**5\/3 + 2042*j**4\/3 - 1804*j**3\/3 - 8168*j**2\/3 - 848*j = 0.\nAnswer: -3, -2, -106\/305, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36688 - 24799 + 18315 = -43*v. Calculate the remainder when v is divided by 253.\nAnswer: 245","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 802*k - 18453. What is t(23)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -280*q - 73. Determine d(1).\nAnswer: -353","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3\/7 (b) -2 (c) -0.1 (d) -0.3 (e) -291\/2 (f) -3\/8\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 13553766 and 15651.\nAnswer: 13553766","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 4*f**2 - 5*f + 14. Let p(u) = u**2 + u + 1. Let j(i) = 6*p(i) - w(i). Is 11 a factor of j(-8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 19 + -18 + 131*-1. Let t = u - -196. Calculate the remainder when t is divided by 34.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g when two letters picked without replacement from gogolf.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = 2*t - 13, 0*t + 5*t + s = 7. Suppose p + t = 4. Suppose p*i - 6*i + 40 = 0. What is the remainder when i is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = -0*i. Suppose -f + 2 + i = 0. Let a(q) = q**3. Let w be a(1). Solve -5*p - 4*y = w, 2*p + 4*y + 4 = -f*p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 40.3 - 40. Which is the third smallest value? (a) -4 (b) f (c) -0.07 (d) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**1\/n)\/((n\/n**(-21))\/n) assuming n is positive.\nAnswer: n**(-21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.2 minus -0.4?\nAnswer: -2.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -1. Let h(v) = -v + 2. Let k(d) = h(d) + 2*t(d). Let m be k(-2). Is (-2 - -3)\/(m\/26) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(147) + (sqrt(147) - (2 + sqrt(147) + -1)) + (3*sqrt(147)*-2 + sqrt(147) - sqrt(147)) + -3)**2.\nAnswer: 280*sqrt(3) + 3689","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**0)**(5\/2)\/((z*z**(-2)\/z)\/z**(-3\/5)) assuming z is positive.\nAnswer: z**(7\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/21*1204\/129)\/(4\/6)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*k + 5*k + k + (-1 + 5 - 3)*(k - k + k) + 5*k + 1527 - 1527.\nAnswer: 8*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) be the third derivative of -1\/48*p**5 + 0*p + 14*p**2 + 0*p**3 + 0 - 1\/160*p**6 - 1\/96*p**4 + 3\/280*p**7. Factor h(k).\nAnswer: k*(k - 1)*(3*k + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3801\/(-8145))\/(7\/(-12)).\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 155\/1240*-2*26\nAnswer: -13\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 12 + -9. Let a = -184 - -188. Solve -a*v - 8 = -b, -v + 3*b = u*v + 8 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -250704, -3, -0.1?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0 + 1. Let x = 3.6 + -2.3. Let q = 0.3 - x. Do j and q have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5979 + -1371. Is w a multiple of 64?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 75 = -4*u - 2*z, -u + 15 = z. Suppose 2*y - 20 = 18. Solve -y*s = -u*s - 2 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/(9\/(-15)*(-10)\/4).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 27901565 to the nearest integer?\nAnswer: 303","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 14 and 259?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -6270, -12556, -18842, -25128, -31414?\n\"Answer: -6286*x + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 less than 0.139983500436?\nAnswer: -3.860016499564","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/(-60)*-1*(-15)\/(-30).\nAnswer: -1\/40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 61406860 by 646388.\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 11*d*k**3*u - 8*d*k**3 - 3*d*k**2 + d*k*u - 99*d - 2*k**3*u wrt k?\nAnswer: 66*d*u - 48*d - 12*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1813231?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -0.1, 0.2, -6\/7, -1.15.\nAnswer: -1.15, -1, -6\/7, -0.1, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -8*k + 565695*k**2 - 282843*k**2 - 282847*k**2 - 5*k**3 in the form c + b*k**3 + y*k**2 + q*k and give y.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 89 minutes before 8:03 AM?\nAnswer: 6:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 589868205 to the nearest integer?\nAnswer: 839","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) be the second derivative of 1077*t**5\/20 - 1187*t**4\/12 + t**2 + 2*t - 314. What is the third derivative of x(f) wrt f?\nAnswer: 6462","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a + 9*a + 1161 = -37*a for a.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -123db8 (base 14) to base 13\nAnswer: -18b99c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3721 to the power of 1\/2, to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 105 and (-48)\/(-22) + -2 - 583\/(-121).\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -0.048, 2, -0.3 in descending order.\nAnswer: 5, 2, -0.048, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 33*k**2 + 15*k. Let j(z) = -2*z**2 - z. Let u(c) = 15*j(c) + v(c). Let i(b) be the first derivative of b**2\/2 + 1. What is i(u(x))?\nAnswer: 3*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -71 - -67. Sort d, 2, 1, 8 in decreasing order.\nAnswer: 8, 2, 1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3.84 >= 2\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -41*k + 19*k + 22*k + 120 - 2*k**2 to n*k**2 + p*k + w and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:29 AM and 8:41 AM?\nAnswer: 132","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) be the third derivative of v**5\/30 - v**2. Suppose -3*r = -0*r - 6. Suppose -r*g = -6 + 4. What is h(g)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t**(2\/3))\/((t\/t**(-1\/7))\/t))**(12\/7) assuming t is positive.\nAnswer: t**(128\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 14*u - 23. Let w(h) = -13. Let q(m) = m + 14. Let l(g) = 5*q(g) + 6*w(g). What is -6*a(d) + 17*l(d)?\nAnswer: d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 6593051, 13186111, 19779185, 26372279, 32965399, 39558551, 46151741, 52744975?\n\"Answer: l**3 + l**2 + 6593050*l - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 32602 = 2*i, -4*i - i - 5*r = -81490. Suppose -1141 = 5*m - i. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 291 minutes after 3:34 PM?\nAnswer: 8:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*l - 96752 = 68256. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -237, -262, -311, -390, -505?\n\"Answer: -y**3 - 6*y**2 - 230","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 3*k - 12 = -0*y, 3*y + 25 = -2*k. Let h(b) = -b - 6. Let w be h(y). Calculate the highest common divisor of w and 15.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that -2*y**3 + 15200*y**2\/3 - 60776*y\/9 + 6752\/3 = 0.\nAnswer: 2\/3, 2532","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 759.4353 kilometers?\nAnswer: 759435300000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 264 minutes before 3:08 AM?\nAnswer: 10:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*u**2 + 2328*u - 4668.\nAnswer: 3*(u - 2)*(u + 778)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -44, -33, -8, 37, 108, 211, 352?\nAnswer: 537","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 4*s - 468 = -3*c, 2*c = -5*s + 312. Determine a, given that -6*a**5 - 68*a**4 + 80*a + 8*a**5 - 16 + 148*a**3 - c*a**2 + 5*a**5 + 5*a**5 = 0.\nAnswer: 2\/3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.04 - -0.24. What is the closest to -1 in 7, -2, c?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -28 - -39. What is the tens digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -196 + 0*(-2)\/(-20)*5. Let j be 28\/b*(-14)\/18. Find f such that 2\/9*f + 0 + 1\/9*f**4 + j*f**5 - 1\/3*f**3 - 1\/9*f**2 = 0.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 3*w + 0*w**3 - 4*w**3 - 7*w + 8*w**3. Let d(c) = c**5 + c**3 + c. Let u(i) = -4*d(i) + v(i). Find the second derivative of u(a) wrt a.\nAnswer: -80*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.27 - -28.73. Let m = 27.88 - x. Let r = -0.18 + m. Round r to the nearest integer.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 47 divide 987?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14 = -2*o - 5*d, 7*d - 4*d + 4 = 5*o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 17890.40855546 + -4?\nAnswer: 17886.40855546","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 960737 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in f**2 + f**2 + 10*f**2 - 10*f**2 + 5*f**2.\nAnswer: 7*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 4160 * 17\nAnswer: 70720","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1850?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4 - 6. Let x = 4.57 - 4.47. Which is the biggest value? (a) x (b) p (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -3\/7, 4\/3, 1\/5, -0.6, 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 2 + 1)*(-1 - 1 + 5)*(-d**3 + 9*d**3 - 2*d**3).\nAnswer: 36*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = x - 5 - 4. Let h(q) = -q**2 + 2*q**2 - 1 - 7 - 7*q. Is 5 a factor of h(x)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -3*b, -5*z + 2*b - 92 = 172. Let l = z - -47. Put -4, 4, -2, l in decreasing order.\nAnswer: 4, -2, -4, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-525*l**2 - 135 - 756*l**2 + 413*l**2 + 136)*(2*l**2 - l**2 + 0*l**2).\nAnswer: -868*l**4 + l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lps when three letters picked without replacement from {o: 5, s: 3, p: 6, l: 2, y: 1}.\nAnswer: 3\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve t - 2 = -26*k + 21*k, -t + 3 = 6*k for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 15*o**2 + 3*o - 1. Let f be d(3). Suppose -6 = -w - w. Suppose -n + w*n - 3*z = 14, -n - 5*z = -33. What is the greatest common factor of n and f?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v**(4\/5)*v**(-4\/7)*(v\/v**7)\/v**6)**(-2\/27) assuming v is positive.\nAnswer: v**(754\/945)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (6 - 1)\/(12\/36). Let h(o) = 2*o + 13. Let c be h(t). Let d = c - 38. Solve d*r = 20 - 0 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 31*u**2 - 5*u + 3. Determine m(-1).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 4*r + 1. Let u(c) = 3*c + 102. Let x(b) = 3*i(b) - u(b). Let h(w) = 11*w**2. Give h(x(s)).\nAnswer: 891*s**2 - 19602*s + 107811","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eee when three letters picked without replacement from eeeeee?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - 4*m = -0 + 1, 0 = 2*m + 8. Solve 3*u = -p*j + 8 + 13, -5*u - 5 = -3*j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -766*p - 530. List the prime factors of o(-7).\nAnswer: 2, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3096779 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = j**2 - j - 9. Let h be u(4). Let a(f) = 2900*f - 7 + 5*f**2 - 2900*f + f**3 + h. Give a(-5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -18 + 13. Let i(l) = -l**3 + 7*l**2 - 3*l - 8. Let h be i(6). Let z = b + h. Let q(f) = -f. Calculate q(z).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (1\/3)\/((-14)\/10). Let i = -4\/7 - h. Which is the third biggest value? (a) -0.3 (b) -5 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -4, -21, -64, -145, -276, -469?\n\"Answer: -2*u**3 - u**2 - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 23 + -24. Is 7 a factor of 7*k\/((-3)\/6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3451 and 121226?\nAnswer: 59764418","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 110011 - 11101?\nAnswer: 10110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 163*i + 146238 - 1064743. List the prime factors of i.\nAnswer: 5, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 2*g = 78, 5*g = -6*q + 3*q + 237. Let y = -83 + q. Which is the second smallest value? (a) 0.7 (b) y (c) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 254 is divided by (-54 + (-3 - 7))\/(-1)?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -11, 3, -1379, -3 in descending order.\nAnswer: 3, -3, -11, -1379","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - 656202.2?\nAnswer: -656202.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.4 and 0.20677?\nAnswer: -0.082708","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -666\/137 + 114548\/22605. What is the common denominator of -43\/418 and t?\nAnswer: 6270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5\/6 + 1\/2. Is z bigger than -0.16?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -7.57 - -8. Let l = c + -0.4233. Round l to three decimal places.\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 106*s**2 + 1697*s - 710777 wrt s.\nAnswer: 212*s + 1697","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x - 54 = 3*n, 4*x - n = 6*x + 21 for x.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -2*u**3 + 2*u**2 + 2*u - 2. Let v be (-4)\/(-2) - (2 + 2). Let q be i(v). Solve 0 = -y - 0*n - 3*n, 0 = -5*y + 3*n + q for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*g = -g + 4400. What is the common denominator of -93\/8 and (g\/72)\/((-2)\/(-3))?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -143 - -146. Suppose -12 - r = -3*z. Differentiate z*b**3 + 50 + 4*b**3 - 15*b**3 - 32*b + 4*b**3 wrt b.\nAnswer: -6*b**2 - 32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4727 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 l be (-182)\/(-5) + (152\/20 - 8). Suppose 47*z - 6303 = l*z. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.039764 to four decimal places.\nAnswer: 0.0398","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 29320?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 78 or 79?\nAnswer: 79","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.9 + 0.1. Let z = 14 + -14.4. Which is the biggest value? (a) 2 (b) z (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4413*g**3\/4 + 17661*g**2\/4 - 4422*g + 9.\nAnswer: -3*(g - 2)**2*(1471*g - 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2179767*f**3*h**4 + 9*f**3*h - 106273*f**3 wrt h.\nAnswer: 26157204*f**3*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 28\/10 + (-8)\/(-40). Let p be 24\/(3\/i - 0). Let o = -10 + p. Calculate the remainder when 26 is divided by o.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 - 58 = m + 4*t, 31*m + 121 = -36*m + 63*m - 7*t for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -8*o**2 + 81*o + 1. Let p(m) = -m**2 + 5*m + 1. Give c(b) - 6*p(b).\nAnswer: -2*b**2 + 51*b - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor n**4 + 314*n**3 - 4908*n**2 + 8870*n - 4277.\nAnswer: (n - 13)*(n - 1)**2*(n + 329)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5? (a) -0.4 (b) 4 (c) -55 (d) -0.03 (e) -3094 (f) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 7*(0 + -1 + 0). Let n = -11 - w. Let v(f) = -f**3 - 4*f**2 - 2*f - 5. Is v(n) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 60 a factor of 15360?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2 - 1.5. Let o = 25615\/21 - 4039\/3. Let n = o - -127. Which is the closest to 1? (a) w (b) n (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -8 - -8.3. Let d = 242 + -242. Sort y, -5, d.\nAnswer: -5, d, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -346.6802 take away -0.2?\nAnswer: -346.4802","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*x**2\/3 - 54076978*x\/3 - 54076984.\nAnswer: 2*(x - 27038492)*(x + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 7*x - 49. Determine i(7).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*h + h + 0*h)*(0 - 2 + 0) + (5 - 5 - 6*h)*(1 - 2 - 1) + 1 - 1 + 2*h.\nAnswer: 20*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*f**3*u - 20052753*f**3 + 259297901*u with respect to f.\nAnswer: 6*f**2*u - 60158259*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*b = 6*b - 84210. What are the prime factors of b?\nAnswer: 7, 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2448)*2 + 0)**2 + (sqrt(272) - (1*sqrt(272) + 4)**2).\nAnswer: -28*sqrt(17) + 9504","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -2, 14, 1099, 24 in increasing order.\nAnswer: -2, 2, 14, 24, 1099","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*s - 42 = -4*f, 3*f + 26 = 10979*s - 10983*s for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + sqrt(325) + 2*sqrt(325) + (sqrt(325) + -3 + -3)**2 + sqrt(325).\nAnswer: -40*sqrt(13) + 366","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(2\/7))**(-17)*u**(-2\/15)*u**(-1\/4)*(u**(-6)\/u*u\/(u*(u*u\/(u*(u*u**(-8)\/u)\/u*u)*u)\/u))\/((u\/u**0)\/(u**(-2\/3)*u)) assuming u is positive.\nAnswer: u**(-3067\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.005 and 100.1?\nAnswer: 100.095","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -37*j**3 - 11*j**2 - 14*j + 22. Let t(s) = -36*s**3 - 11*s**2 - 14*s + 21. Let x(v) = 5*i(v) - 6*t(v). Let q be x(16). Round q to the nearest 10000.\nAnswer: 130000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 790.6 + -791. What is the nearest to 0.6 in t, -3, -1?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -241 - -278. Suppose -123 - 45 = 3*h. Is 2 a factor of x\/7 + 16\/h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-10)\/(-14))\/((-9774)\/(-7602))?\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 6, h: 1, y: 1, v: 1, a: 1, u: 1}. What is prob of sequence ah?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9, 850, 2281, 4284, 6859, 10006, 13725?\nAnswer: 18016","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*m = -26*m + 2*m + 957420. List the prime factors of m.\nAnswer: 2, 3, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -796860039483.8 - -796859809496.67999939. Let i = -229987 - y. Let u = -0.12 + i. Round u to 7 decimal places.\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that -3*a**4 + 71*a**3 + 26*a**2 - 48*a = 0.\nAnswer: -1, 0, 2\/3, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 273983*y + 245677 with respect to y.\nAnswer: 273983","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = 4*m + 5. Solve 2*o = -m*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 13a + 13?\nAnswer: 152","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -22*w - 31*w + 6613 - 7832 for w.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -4 - 4964462?\nAnswer: -4964466","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1385504 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 26670 and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:52 PM and 10:17 PM?\nAnswer: 145","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*z + 3*z + z)*(z**3 + 1 - 1) - 7830*z**4 - 59*z + 7831*z**4 - 29*z to q + c*z**4 + j*z**3 + g*z**2 + a*z and give c.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) be the second derivative of t**3\/6 + 7*t**2 - 5*t + 10. What is g(-4)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4831*r**3 + 16 - 16.\nAnswer: -4831*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 48, 56, 76, 114, 176, 268, 396, 566?\n\"Answer: i**3 + i + 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 186 minutes after 7:16 AM?\nAnswer: 10:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -6 + -6. Is 5 a factor of (-2)\/((-4)\/a*-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 148224.9 milligrams in grams?\nAnswer: 148.2249","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 314493436?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 0*l - 3*h + 399 = 0, -4*l - 3*h + 318 = 0. Suppose -t = -2*x + l, -7*x = -2*x - 2*t - 205. Let g = 94 - x. Is g a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 15984 - 15984.09. Let z = 0.5 - 0. What is the biggest value in -3, u, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 89, 87, 81, 71, 57, 39?\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2290565 a multiple of 145?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1065998 + 1174006. Let p be (-24)\/(-84) - i\/14. What is p rounded to the nearest one hundred thousand?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 47927887739 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) be the second derivative of -f**5\/20 - f**4\/3 + f**2\/2 + 18*f. What is m(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 980 - 714. Solve -r*o + 271*o = 10 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) be the third derivative of -583*y**9\/72 - y**5\/3 - y**4\/4 - 1408*y**2. Find the third derivative of i(m) wrt m.\nAnswer: -489720*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = v + 4. Let p be y(-9). Let h(w) = 0 + 5*w + 1 + 2 + w**2 - 5. Give h(p).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -5453, -5457, -5463, -5471?\n\"Answer: -k**2 - k - 5451","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -360 - -248. Let g = x - -62. Calculate the common denominator of -35\/2 and g.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*o - 238 = 21*o - 62*o for o.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (0 + -10)*2\/((-40)\/30). Solve -12*g = -9*g + q for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in -349, -0.9, -33\/4, -3\/2, 1.3?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) be the first derivative of q**4\/6 + 8*q**3\/3 + 17*q**2\/2 - 3. Let l(i) be the second derivative of d(i). Let p be l(0). Solve -5*b = -b + p for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2 - 160\/(-3))\/((-1)\/51). What is the common denominator of (-4)\/(-34) + (-7903)\/l and 115\/18?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.1973 - 0.3027. Let q = 22.8 + -23. Sort -5, v, 0.06, q in increasing order.\nAnswer: -5, v, q, 0.06","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3562.1775 rounded to the nearest 100?\nAnswer: -3600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z + 30 = 16*v, 20*v - 11 + 23 = 24*v for z.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -91 + 103. What is the lowest common multiple of f and 8?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1*2)\/(-2) - -4. Suppose 106 = v - 3*h, 3*v - l*h - 394 = -88. Suppose 3*c - 58 = -4*p, 3*p + 37 - v = -3*c. Is c 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 5:54 PM and 3:01 AM?\nAnswer: 547","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*x**3 + x**3 - 3*x**3)*(-2*x**2 - x + x) + (-4*x**2 + x**2 + x**2)*(-2*x**2 + 0*x**2 - 2*x**2)*(6*x - 6*x + 19*x).\nAnswer: 160*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.9, -2\/5, 19, 67, 0 in decreasing order.\nAnswer: 67, 19, 0, -2\/5, -0.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.183 + -0.383. What is the nearest to 1\/3 in -2, x, 0.06?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 2325 = -i, 0*c - 4*i - 570 = -c. List the prime factors of c.\nAnswer: 2, 3, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -39*a - 112*a + 4829997 + 6628336. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 2*j = -3*s + 500, -s + 117 = -3*j. Find the third derivative of -45 + 43 - 10*v**2 - s*v**3 - 6*v**2 wrt v.\nAnswer: -612","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 933187\/248852 - -2\/62213. Suppose k*j - 7\/4*j**3 - 1\/2 - 3\/2*j**2 = 0. What is j?\nAnswer: -2, 1\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = 4*w + 20, 0 = -2*w - w + 2*i - 8. Suppose 0 = 2*d - 18 - w. What are the prime factors of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1.1 + 0.925. Let n = 0.17653 + s. What is n rounded to four decimal places?\nAnswer: 0.0015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7504 divided by 268\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.5999647 to 2 dps.\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of p*z**3 + 39*p*z - 25*z**4 - z**2 - 2*z wrt z?\nAnswer: 6*p*z - 300*z**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -7, -13, -10, -3, 72, 4 in decreasing order.\nAnswer: 72, 4, 0, -3, -7, -10, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o\/(o\/o**(16\/5)))\/o)\/o*o**(5\/9))\/((o*o**(2\/23)\/o)\/o**21) assuming o is positive.\nAnswer: o**(23462\/1035)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-33*f**2 + 47*f**2 + 162*f**2)*(11 - 18 - 90 + 8)*(-4 + 3 + 3) to the form o*f + p + j*f**2 and give j.\nAnswer: -31328","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + ((sqrt(2299) + -1 + (sqrt(2299) + 0 - sqrt(2299)))**2 - (-2 + sqrt(2299)*-3)**2).\nAnswer: -18398 - 154*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -60480 take away -0.33?\nAnswer: -60479.67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 77 and 18326?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -81674, -163371, -245092, -326843, -408630?\nAnswer: -490459","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 14.7 - 14. Let y = -0.6 + j. Which is the smallest value? (a) -0.4 (b) -1\/6 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - g + 4 + (3*g - 5*g + g)*(0 + 2 - 6) + g + 0*g + g)*(-3*g**2 + 4*g**2 + g**2)*(9 + 4*g - 9).\nAnswer: 40*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 72 and 195792.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 divided by -12451.\nAnswer: 6\/12451","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + k - 22 = -9, k = -2. Let u be ((-106)\/(-212))\/(1\/(-6)*-1). Let f = 1 + -2. Which is the second biggest value? (a) u (b) p (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2 - 3\/(-3 + 6). Let x = 5 - f. What is the second derivative of 3*q + x*q**2 + 2*q - q wrt q?\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 404034451 (base 6) to base 11\nAnswer: 399a662","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((-1 + -5 + -3*sqrt(7))**2*4 + (0 + (1*sqrt(7))**2 + 5*sqrt(28))*6).\nAnswer: 876 + 408*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 + 3 - 9*t - 1 - 7 + 54*t to b + y*t and give y.\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 189 and 243.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 79609.18ug to milligrams.\nAnswer: 79.60918","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-32 - 23 + 15)*(-8*x**2 - 15*x**2 - 8*x**2).\nAnswer: 1240*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -31044 (base 5) to base 4\nAnswer: -133220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 21520 + -10661. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1.5963 or 0.2?\nAnswer: 1.5963","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6592062 - 3295901 - 2*p - 3296161.\nAnswer: -2*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -347538*l**2. Let o(t) = 1330*t**2. What is o(g(n))?\nAnswer: 160640939720520*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 3 = 0, -3*w = -4*t + 58 + 83. Suppose 3*j + t = 2*v, -3*j = -4*v + 16 + 59. What is the units digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = -v - 4*s - 6, 3*v + 11*s = -34 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 29*c**2 - 3*c + 2. Give h(-1).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*o - s + 5 = 30*o, 0 = -5*o + 7077*s - 7076*s - 12 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jjjjjjjaajjjj. What is prob of picking 2 a and 1 j?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 370?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 10}. What is prob of sequence kkkk?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 4 (b) -3 (c) 27 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2711226020 to the power of 1\/3, to the nearest integer?\nAnswer: 1394","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/27? (a) -7 (b) 2\/9 (c) 2\/3 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*u - 6*u - 5 = 0. Suppose -u*i - 576 = -11*i. What is the tens digit of i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -337 smaller than -337?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 77091145 is divided by 483?\nAnswer: 481","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = n, 2*j + 2*j = 2*n - 18. Suppose -3*x - n = -8*x. Let u(t) = -2*t**2 + 3*t + 3. Give u(x).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v - 5 = 3*v, 8 = -c - 4*v for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 248184521 by 11357.\nAnswer: 21853","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 61525905 a multiple of 903?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 6*l**2 + 5*l - 2. Let k(o) = -96*o**2 - 81*o + 33. Let q be 2\/((-8)\/3) - 2970\/(-88). Let r(f) = q*y(f) + 2*k(f). Determine r(-2).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 10.27 - 5.27. Which is the nearest to -2? (a) 2\/3 (b) 1\/5 (c) 0.7 (d) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence llq when three letters picked without replacement from {n: 4, q: 5, l: 5}?\nAnswer: 25\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.1 - -0.05. Let q = -15.72 + -339.78. Let w = -356 - q. Which is the nearest to 0? (a) r (b) w (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 4 - 2b87848?\nAnswer: -2b87844","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s, 2 w, and 1 n when four letters picked without replacement from {s: 3, q: 1, w: 8, m: 4, n: 3}?\nAnswer: 21\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -3*l**2 - 54*l + 34. Let j(i) = -i**2 - 26*i + 15. Give -7*j(f) + 3*w(f).\nAnswer: -2*f**2 + 20*f - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -8.74436 to zero dps.\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 141414?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 17 + -4. Suppose 4*f - 7 = v. Suppose 4*q + 172 = -r + f*r, 19 = r + 5*q. List the prime factors of r.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -4*w + 15. Suppose -5*h - 4*f = -276, w*h = -0*h - 2*f + 268. Let g be (-6)\/(-8)*h\/(-12). Is -3 bigger than g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-144)\/2*5\/(-15).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -21*t + 19*t + 4 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-20)\/(3\/((-30)\/(-4))). Let t = 4335 - 3025. Suppose -t = 28*i + 118. Which is bigger: i or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -12 - -15. What is the lowest common multiple of i and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*k + 5*z + 62, -3*k = 2*k - 5*z + 225. Let q = -17 - k. What are the prime factors of q?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 481365335 and 6710.\nAnswer: 3355","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2004 + 10498. Suppose 4*h - s = -2*c, 4957 = 4*c + 4*h - 20055. Suppose 0 = 3*a + 1842 - c. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -162567\/11 or -3.2?\nAnswer: -3.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -138480370 to the nearest one hundred thousand.\nAnswer: -138500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (13 - 10) + 3 + -2 - 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 12.43 to the nearest integer.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 3*y. Let q(p) = 1826*p. Give d(q(v)).\nAnswer: 5478*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 25624218?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l**4\/5 + 6*l**3\/5 + 27*l**2\/5 - 6*l\/5 - 24\/5 = 0 for l.\nAnswer: -2, -1, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d when two letters picked without replacement from dduu?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 98650 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -4621a7 - -6?\nAnswer: -4621a1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/(d\/(d*d*d*(d*d**(1\/2)\/d)\/d*d*d))*d**(-6))\/(d**(-4\/3)*d*d**14))**(17\/3) assuming d is positive.\nAnswer: d**(-1547\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 29487?\nAnswer: 3, 9829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6820747621 - -14.1.\nAnswer: -6820747606.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 9.6, -297.12, 2\/5, 5?\nAnswer: 9.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 7.6455599 to 3 decimal places.\nAnswer: 7.646","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Product of -656 and -4.\nAnswer: 2624","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 78*u**5 - 40*u**5 - 3*u**3 + 65*u**2 - 4*u**3 - 27*u**5 wrt u.\nAnswer: 660*u**2 - 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -4*2\/6*-6 + -16172. What is d rounded to the nearest 1000?\nAnswer: -16000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 231, 279, 337, 411, 507?\nAnswer: 631","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -4907 divided by 74339\nAnswer: -4907\/74339","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:24 AM and 7:15 AM?\nAnswer: 111","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1044180.\nAnswer: 2, 3, 5, 5801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 382, 927, 2774, 6571, 12966, 22607, 36142, 54219?\nAnswer: 77486","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*v**3\/5 - 2910603*v**2 + 5883059952003*v\/5 + 1961021601003\/5 = 0. Calculate v.\nAnswer: -1\/3, 808501","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0007147 rounded to five decimal places?\nAnswer: -0.00071","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 10055*-4*8\/(-32) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 3, -1\/4, 2.2, 0.5?\nAnswer: 2.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (2166\/(-9))\/(((-28)\/(-21))\/(-2)). Suppose -q*s + 355*s + 8106 = 0. List the prime factors of s.\nAnswer: 7, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 13) in base 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 9705 to the nearest integer?\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 36 and 1746.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*q - 14*q = -12. Let b(u) = -11*u**q - 3*u**2 + 15*u**2. Let h(x) = -4*x. What is b(h(v))?\nAnswer: 16*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -5, 3\/29, -7?\nAnswer: 3\/29","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 77.95 * -0.4.\nAnswer: -31.18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 493 minutes after 9:25 AM?\nAnswer: 5:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34 = -h - 10*l, 82 = 2*h + 14*l - 19*l. What is the greatest common factor of 39 and h?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 83*x + 772097 - 774919 for x.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6.79 - 6.73. Which is the third biggest value? (a) w (b) 14 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 484 is divided by 159?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -174 in -194, 7\/5, -19, 4?\nAnswer: -194","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(165)\/(sqrt(5)*2) + 3*sqrt(528) + sqrt(33))\/(sqrt(6)\/(sqrt(2)*-3*2)*-2).\nAnswer: 81*sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 55965 a multiple of 65?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-w + 0 + 0)*(-28*w - 171*w - 77*w).\nAnswer: 276*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10 - (-5 - (-7 - -14))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -180*(-3 - 10\/(-4)). What is the common denominator of -35\/8 and w\/8*(-2)\/(-4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 2\/165, -3\/4, -0.5 in descending order.\nAnswer: 2\/165, -0.5, -3\/4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1206 is divided by 397.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 7249 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*(x**1\/x)\/x)\/(x\/(x*x**(-8))))\/(x**(3\/5)\/x**2) assuming x is positive.\nAnswer: x**(-33\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 90*m = -85*m + 20, 0 = -3*p - 3*m - 6. Which is the closest to p? (a) 0.4 (b) -4 (c) 1\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand c - 3*c + c + (0 - 2*c + 0)*(2 - 1 + 0)*(0 + 6 - 4).\nAnswer: -5*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/2, -15, -11777 in descending order.\nAnswer: 3\/2, -15, -11777","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2 + 2. Suppose k*n + 3*n - 24 = 0. Does 13 divide n\/6*(-39)\/(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide (-10353)\/(-58) + 3*1\/(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in -0.2, -104, -13?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + (0 - -1) + -3 + 0.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2282102 = 273*a - 551*a. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1342 and 18.\nAnswer: 12078","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -2 + 5*(-2)\/(-45). Let b = -58\/63 - s. Let w = -33\/14 + b. Which is greater: w or -2?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 0*l - 5*t = 142, -81 = -l + 5*t. Suppose 59*z = l*z - 10. Calculate the highest common factor of 1 and z.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1240 - 1264 = -4*a for a.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -47*f**2 - 3*f + 13. Let s(j) = 96*j**2 + 8*j - 28. Calculate -2*s(y) - 5*x(y).\nAnswer: 43*y**2 - y - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -a**5 - a**3 - a**2 + 1. Let c(h) = 5*h**5 + 6*h**3 + 6*h**2 - 2*h - 6. Let w(z) = c(z) + 6*l(z). Find the second derivative of w(s) wrt s.\nAnswer: -20*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 202 a factor of 438744?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.1068343 to 2 decimal places.\nAnswer: 0.11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = a**3 + a**2 + 2*a - 12. Let n be o(0). Let x be (1168\/n)\/(3\/(-13500)). What is x rounded to the nearest 10000?\nAnswer: 440000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 64, 2, -4, 0, -0.2 in decreasing order.\nAnswer: 64, 2, 0, -0.2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23*o**3 + 11*o**3 + 44*o**3.\nAnswer: 32*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = l + 5. Let g be 45\/(-18)*(-6)\/(-5). Let j be (-1 + g)\/(12\/(-18)). List the prime factors of v(j).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 4, c: 6, j: 4, f: 4}. Give prob of picking 1 c and 3 f.\nAnswer: 2\/255","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 593?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 272 = -12*x + 320. Let j(y) be the second derivative of -1\/12*y**x + 0 + 0*y**2 + 0*y**3 + 5*y. Let t(r) = -5*r. Calculate t(j(w)).\nAnswer: 5*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) be the second derivative of 151*k**4\/6 - 5*k**3\/6 + 12*k**2 + 160*k. What is the second derivative of w(m) wrt m?\nAnswer: 604","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -44 - -44. Which is the closest to n? (a) -3\/4 (b) -0.4 (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 10 and 26?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*v - 18 = -9*v. Is 17 a factor of 34\/6*15*(-2)\/v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 5 = -i, -3*n + 22 = 3*i + 1. Let o(u) = -u + 2*u + i*u + 2*u. Let t(m) = 3*m. Determine o(t(c)).\nAnswer: 18*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 2*t**2 - 3*t + 4. Let n be o(4). Let p be (56\/n)\/(1\/(-21)). Let z = p + 82. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6303 - 5.\nAnswer: 6298","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -4 (b) 0.3 (c) 28 (d) -10\/11 (e) 1\/87\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 155 minutes before 12:46 AM?\nAnswer: 10:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = i**3 + 12*i**2 + 2*i - 2. What are the prime factors of c(-8)?\nAnswer: 2, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = u**2 + u + 15. Let o be c(0). Let k = o + -11. What is the second derivative of -k*n**4 + 2*n**2 + 0*n - 2*n**2 - 4*n wrt n?\nAnswer: -48*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -326 (b) -1\/3 (c) 2\/11 (d) 4\/3 (e) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2 and 90.9.\nAnswer: -181.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 175.7, -9\/7, 0.06, 4 in descending order.\nAnswer: 175.7, 4, 0.06, -9\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h = 4*u - 24, -4*u + u = 5*h - 24 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 1, d: 1, j: 6, x: 1, h: 1, w: 3}. Give prob of sequence xjzh.\nAnswer: 1\/2860","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*s - 20, -4*f + 3*s + 7 = -8*f. Let l(b) = 0*b**2 + 6*b**2 + 0*b**f - 4*b**2. Let v(y) = -2*y. What is l(v(q))?\nAnswer: 8*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 8\/3 of a day?\nAnswer: 64","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = y - 2*y - 7, 8 = l - 2*y. What is the units digit of ((-61)\/4)\/(l\/(-8))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 2*k**2 - 2*k - 38. Let q be n(-7). Calculate the greatest common divisor of q and 666.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/17? (a) 52\/37 (b) -8\/5 (c) -0.1 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9)\/4*(-100)\/75?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 8\/3 - (-8)\/(-12). What is the third derivative of -s**5 + 0*s**2 + y - s**2 - 2 wrt s?\nAnswer: -60*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.5, -23\/3, -0.01, 1\/5, -0.02?\nAnswer: -23\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 225*m + 2*m**3 + 381*m - 608*m**2 - 4*m**3 + 4*m**3 = 0.\nAnswer: 0, 1, 303","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -29458, -58999, -88572, -118177?\nAnswer: -147814","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 92380?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 1029*v + 2108*v - 945*v + 1660*v in the form k*v + f and give k.\nAnswer: 3852","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -12221 - -1033222?\nAnswer: 1021001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 71475030 a multiple of 4554?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2997 and 20169.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*o - 16*o - 4 = -2*b, 4*b = -3*o + 8. What is the closest to 0.3 in -2\/9, -1, b, 0.028?\nAnswer: 0.028","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 20*u + 9*u + 39*u - 2992. Solve 0 = u*s + 209 + 11 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (10 - (8 - 6)) + (-4 - 20)\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:34 AM and 5:10 PM?\nAnswer: 456","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16\/(-10)*((-820)\/72)\/41.\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 362840635?\nAnswer: 5, 72568127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (2 - (-76)\/(-52))*32\/112. Which is the closest to -15\/8? (a) z (b) -0.1 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -3718, -2532, -1320, -70, 1230, 2592, 4028, 5550?\n\"Answer: 2*v**3 + v**2 + 1169*v - 4890","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1717 - 644c?\nAnswer: -4a35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**1*f*f*(f*f**(2\/11)*f)\/f)**(1\/37))**(-2\/11) assuming f is positive.\nAnswer: f**(-92\/4477)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 + 0 - 2) + 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(-4)*-2*(-21)\/7.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-3)\/5 - (-46)\/10. Let o be (-12)\/(-27)*(-6)\/g. Let q = -654 + 654.3. Which is the closest to -2? (a) q (b) 4 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 151 + 322 = -26*n + 161 for n.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -72, -138, -204, -270?\n\"Answer: -66*g - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -406 by 1.\nAnswer: -406","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (264\/15)\/((-2)\/20*2). Let r = b - -91. Solve -r*a + 13 - 4 = 0 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) be the first derivative of -d**6\/30 - d**4\/6 + d**2\/2 - 3. Let b(g) be the second derivative of s(g). What is the second derivative of b(a) wrt a?\nAnswer: -24*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 184229827?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + -1 + (2 + (sqrt(1539) - (sqrt(1539) - -2*sqrt(1539)) - sqrt(1539)))*3 + 2)**2.\nAnswer: -1458*sqrt(19) + 124740","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -4 (b) -0.3 (c) 2\/9 (d) -2\/9 (e) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -83 + 3a?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and 145\/740583 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 4, v: 4, d: 3, n: 4}. Give prob of sequence kk.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -47? (a) 3 (b) -1\/2 (c) -0.3 (d) -68 (e) 2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 2, o: 4}. Give prob of sequence ooor.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-17)\/17)\/((-5)\/55)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 538 minutes after 8:46 AM?\nAnswer: 5:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 18 - (72 + -18) - 16\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 94, 100, 110, 124, 142, 164, 190?\nAnswer: 220","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -68, -145, -234, -341, -472?\nAnswer: -633","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*d + 2*o - 70, 37*d - 35*d + 4*o = 110 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -38 - 4?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 10 - 227c8?\nAnswer: -227b8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 688324162 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6 + -7. Let d(j) = -113*j. Calculate the remainder when d(c) is divided by 39.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*r + 27 = -33. Let d = 31 - r. What is the remainder when 95 is divided by d?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 73320 is divided by 1408?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -199*s**2 + 2*s. Let a(c) be the second derivative of -20*c**3\/3 - 7870*c. Calculate a(r(n)).\nAnswer: 7960*n**2 - 80*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - 17\/(-2))*(-2)\/6\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 57852 and 84.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0010459 to 4 dps.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 8100 divided by -300\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 7174 + -7184. Sort 5, 6, 4, 3, b.\nAnswer: b, 3, 4, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 8 = -c. Suppose -a = c*j - 6, -a - 4 = -3*j + 5. What is the derivative of 2*x**2 + a - 1 - x**2 wrt x?\nAnswer: 2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -500 - 146 = -26*f - 178 for f.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 43\/(-26) - (-4)\/26. Let z be ((-324)\/486)\/(-2 + -1 + 3\/(-3)). Which is the fourth smallest value? (a) -1\/10 (b) 82 (c) z (d) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -31 + 153\/5. Let s = -4037 + 4043. Which is the closest to w? (a) s (b) 0.1 (c) -0.3 (d) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -127060818*v**5 + 101370054*v**2 wrt v.\nAnswer: -7623649080*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p = 2*p + 22. Let u = 20 + p. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -346 + 298 - (1 - -6)?\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2508*j**5 - 1371*j**2 wrt j.\nAnswer: -150480*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -2757 at most as big as -0.0588?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 2*q - 9. Let r be c(8). What is the third derivative of 0*s**2 + 2*s**2 - r*s**2 + s**2 - 2*s**3 wrt s?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -107*s + 396 = -124*s + 855 for s.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 1680, 3214, 4858, 6666, 8692?\n\"Answer: 9*i**3 + i**2 + 1468*i + 202","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.2 + -0.3. Let v = 9982\/5 + -1996. What is the third smallest value in -0.4, y, v, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 183 + 22 = 2*k, -8 = 4*k. Let x = i - 162. Let c(f) = -f**2 - 7*f - 7. Calculate c(x).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -101\/478362 and 85\/62736.\nAnswer: 3826896","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 9.11 + -0.11. Let j = -3 + v. Let p = 4.1 + -4. Which is the second biggest value? (a) 0.2 (b) p (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 2*d + 6. Let s = -15 - -18. Let r = 9 + -5. Suppose -24 = s*k + 4*a, 4*k - 3*a + r = -3. Calculate i(k).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4056, -4165, -4274, -4383?\nAnswer: -4492","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -6 - -10. Suppose b*d + 7 = 15. Suppose -c - 5*k = -k - 107, 2*c + d*k = 190. Calculate the highest common divisor of 13 and c.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -x**2 - 4*x + 5. Let a be l(-5). Suppose a*g = g + 12. Find the common denominator of g and 103\/6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/((-7)\/(-14))*(102\/33 - 3).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -228425 divided by 56?\nAnswer: -228425\/56","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s, 1 d, and 1 x when three letters picked without replacement from jskxwwd?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 117*v**3 + 106779*v**2 + 57750*v + 2 wrt v?\nAnswer: 702*v + 213558","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 2 + 6*p + 2 + 2. Let v = -9 - -18. Let s be a(v). Round s to the nearest one hundred.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -i**2 - 17. Let l be w(0). Let m(a) = -2*a**3 - 11*a**2 - 34*a - 6. Is m(l) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 568 and 13040996?\nAnswer: 26081992","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h, 1 j, and 1 v when three letters picked without replacement from {z: 4, v: 1, h: 2, j: 4}.\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1280.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (9\/15)\/((-19)\/95). What is the closest to -2\/5 in d, -0.1, -1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) be the second derivative of 321*p**3\/2 - 3357*p**2\/2 - 2447*p. Find the first derivative of h(s) wrt s.\nAnswer: 963","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/8 (b) 1 (c) 0.246 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 3062274 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(-6)*352\/(-44)?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 8\/1147, 0.4, -1, -23, 0.2, -2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.018 - -162985.9?\nAnswer: 162985.918","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -34 - (-24 + 2) - -51?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.2*0.15\nAnswer: 0.03","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.442637 take away -92730?\nAnswer: 92730.442637","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that 3072*z**2\/5 + 1763278*z\/5 - 5740 = 0.\nAnswer: -574, 25\/1536","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -2828951, -5657898, -8486843, -11315786, -14144727, -16973666?\n\"Answer: d**2 - 2828950*d - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -o**2 + 10*o + 13. Let j be h(11). Suppose j*m - 16 = -2*m. Let g be -3 + m - (-7 - 0). What is the highest common divisor of g and 20?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 471157492 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 2990526 a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -w**3 - 21*w**2 + 37*w - 183. Give f(-23).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 10011110010100101111110 (base 2) to base 13\nAnswer: 10c8504","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (13*-1)\/(1\/(-1)). Let u = q + -6. Suppose -2*z + 3*w = -19, 2*z - 5*w = 17 + 4. Which is greater: z or u?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 71 = 23. Let s(k) = -k**2 + 24*k - 18. Let u be s(m). Calculate the highest common factor of u and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + 0 + (sqrt(108) - (sqrt(108) + -1*sqrt(108))) + ((sqrt(27)\/(sqrt(3)*-1))\/sqrt(3))**2)*-5 + 4.\nAnswer: -30*sqrt(3) - 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, d: 2}. Give prob of sequence id.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 11\/44 + 14\/(-24)\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -2*h**2 - 56*h + 50. Let s = -235 + 206. What is v(s)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:39 PM and 9:59 AM?\nAnswer: 620","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (2\/3*(-138)\/92)\/((-1)\/2). Solve 43 - 37 = k*s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 66643 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3322 + 3313. Sort 2, 3, c, 0 in descending order.\nAnswer: 3, 2, 0, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -875*g + 7*o - 385 = -872*g + 42*o, -2*o = -g + 3*o + 55 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 4*x - 4*x + 3*x - 18 - x. Let w(z) = -1. Let v(b) = t(b) - 3*w(b). Calculate the remainder when 19 is divided by v(11).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3 + -1. Suppose -y*a + k + 41 = 0, -2*a + 6*a = -3*k + 97. Suppose 4*t - 40 = -4*l, l = 4*l - t - a. Solve l*h = 3*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 59777.05nm in meters?\nAnswer: 0.00005977705","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1414 and 2534494?\nAnswer: 202","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 35\/20*(0 + 16) is divided by 16.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1082401619?\nAnswer: 13, 7723, 10781","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 107 = 4*j + 63. Suppose -3*v + j*v - 408 = 0. Is v less than or equal to 50?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -b**3 + 17*b**2 + 344*b + 240. Give c(29).\nAnswer: 124","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 996927?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*c**2 + 12*c**4 - 4 - 13*c**4 + 3*c**3 + 5*c**2 as s*c**2 + x*c**4 + z*c**3 + f*c + o and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = x - 3. Let l be v(3). Suppose f = -z, -3*z + 0*z + 3*f = -18. Let b be 36\/12 + 0\/1. Solve b*i + 11 = -l*y + y, -12 = 2*i - z*y for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -67\/736715 and 83\/170?\nAnswer: 25048310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -30429372765+-2.982\nAnswer: -30429372767.982","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 6633*k - 38181. What is l(6)?\nAnswer: 1617","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 4280 to the power of 1\/5, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = k + 3. Let r be o(-4). Let a = 2 + r. What is the units digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:28 AM and 9:28 AM?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 54129287 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**30\/y)\/y**(-1) assuming y is positive.\nAnswer: y**30","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 10661909 to the nearest integer?\nAnswer: 3265","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -g**2 + 12*g + 50. Determine t(19).\nAnswer: -83","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1933571 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/7*g**3 + 48\/7 + 16\/7*g - 3\/7*g**2.\nAnswer: -(g - 4)*(g + 3)*(g + 4)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -a**2 - 2*a + 5. Give f(4).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.19, 2\/9, 4, -1047\/422?\nAnswer: -0.19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g**5\/3 + 136*g**4\/3 - 952*g**3\/3 - 4496*g**2\/3 + 18236*g\/3 - 12920\/3 = 0 for g.\nAnswer: -5, 1, 2, 17, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/5, 2.38, 1\/5, 6\/11, 33, 5\/3 in decreasing order.\nAnswer: 33, 2.38, 5\/3, 3\/5, 6\/11, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 28933082 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f + 14 = -5*o - f, 5*o + 5*f = -15 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 9765\/23 - 133333\/207. Let k = s + 220. Let x = -8 - -9. Which is greater: x or k?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**3)**15)**(2\/63) assuming y is positive.\nAnswer: y**(10\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 11872?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -78*m**3 + 10*m**2 + 39*m**3 - 111 - 2*m**4 + 37*m**3 - 145 + 219 to the form r + w*m**2 + z*m + v*m**4 + o*m**3 and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = v**2 + v - 1. Let m(b) = -7*b**2 - 5*b. Let f(w) = -6*l(w) - m(w). Let g be f(7). Calculate the common denominator of 83\/10 and (-1)\/18*588\/g.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -79\/112 and 223\/28980?\nAnswer: 115920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 141, -97, -735, -1971, -4003, -7029, -11247?\n\"Answer: -33*l**3 - 2*l**2 - l + 177","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -2*h**3 - 34*h**2 + 46*h + 239. Calculate i(-18).\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -152 = 4*d - 4*h, d + h = 6*h - 38. Let w = -20 - d. Let f be 4\/w + (1 - 1). What is the closest to -0.1 in f, 0.4, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 1 - 135874*f + 30705*f - 1.\nAnswer: -105169*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-1)\/17*-1)\/(-4). Which is the second smallest value? (a) 3 (b) 1 (c) k (d) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f**(2\/7)*(f**(-2\/7)\/f)\/f)\/(f*f**(-1))**(-1\/14) assuming f is positive.\nAnswer: 1\/f","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 72 + 61.\nAnswer: 133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-11)\/(-7) - 21\/(-49). Suppose 2*g + 6 + b = 0, 16 = 2*s + 2*g. Does 14 divide 848\/s - (-6)\/(-9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -d**2 + 2*d + 3. Let z be v(5). Let s be 8\/z - 2\/(-3). Let h = 7 - s. What is the units digit of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -623 - -723. Suppose 108*a - 128 = l*a. Solve -a*f = -11*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 5*-1*12\/(-15). Suppose 9 = 5*x + 3*z, -2*x - 2 = -0*x + g*z. What is the remainder when x is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -q**2 - 2*q. Let u be z(-2). Let m(h) = -h**3 - h**2 + 2. What is the remainder when 7 is divided by m(u)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-c + 0*c - 2*c)*(-2 + 1 - 1)*(-3 + 0 - 1).\nAnswer: -24*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5318.23157 - 3984.233252. Let n = -1334 + a. What is n rounded to 4 decimal places?\nAnswer: -0.0017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(102) + 1*-1*sqrt(102))\/sqrt(6) + 5)*-2.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 17*b - 16*b - 11, -41638*c = -41641*c + b - 23 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 216042.93919 + -216042. Let t = 0.94 - g. Round t to four dps.\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.75 + 0.25. Which is the closest to 1.1? (a) o (b) -3 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 292, -369, -1592, -3659, -6852, -11453, -17744?\nAnswer: -26007","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -326.519 + 326.519. Let d = -18.1 - -20. Let w = -2 + d. What is the nearest to -2\/7 in -1\/6, w, v?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 26 - 24. Suppose 24 = 6*f - 2*f. What is the smallest common multiple of f and t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 6) to base 9\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -6 + 4 + -4 + 1. Let y be (-52)\/2 + (-5 - z). Let o = -12 - y. What is the highest common factor of o and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 88 minutes before 12:01 PM?\nAnswer: 10:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 3380230 rounded to the nearest 10000?\nAnswer: 3380000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.1 - 0.09. Let w = y - 0.48. What is w rounded to 1 decimal place?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7769492?\nAnswer: 2, 23, 79, 1069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by 582618?\nAnswer: 5\/582618","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 1833 divided by 63\nAnswer: 611\/21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*y - 57*y = 47*y + 1232 for y.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/1 + (-17 - -31 - 11\/1). What is the fourth biggest value in 2, 11, -0.33, d?\nAnswer: -0.33","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 82207070193300 and 0?\nAnswer: 82207070193300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 975775287 to the nearest integer?\nAnswer: 992","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 2435643486?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 17*x + 20*x - 49 - 1146*x**2 + 1148*x**2 + 3194*x**3 - 31*x wrt x?\nAnswer: 19164*x + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7770270 is divided by 1426.\nAnswer: 1422","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.1374 - -7.4986. Let j = -8.43 + c. Let y = j - -0.8. What is y rounded to two decimal places?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2 (b) 1\/3 (c) -1 (d) 0.19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express p**2 - 5*p**2 + 2*p**2 + (-p - 1 + 1)*(-3*p + 0*p + p) - 1 + 2*p**2 + 1 as f*p + h + x*p**2 and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 15\/(-60) - ((-36440)\/48)\/((-10)\/(-225))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 259, -144, -547, -950, -1353?\n\"Answer: -403*c + 662","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2 and 35?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 404*z + 83*z + 51497 = -247*z + 13329 for z.\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) be the third derivative of -b**6\/480 - b**5\/5 - 15*b**4\/8 - 22*b**3\/3 + 3*b**2 + 20*b. Factor k(n).\nAnswer: -(n + 2)**2*(n + 44)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + u = 98, 4*r + 0*r + 4*u - 88 = 0. What is the remainder when r is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 310 divided by -10?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -50 in -2, -0.16, 0.2, 3, -17, -4?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1324 (base 8) in base 12?\nAnswer: -504","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -16 - -20. Sort -27, -0.5, 11, i.\nAnswer: -27, -0.5, i, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1, 58, -0.5, -2, -5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -k**2 + 24*k + 10. Let u be w(24). Suppose -570 = -48*c + u*c. Calculate the remainder when 268 is divided by c.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 12833, 15039, 17245, 19451, 21657?\n\"Answer: 2206*b + 10627","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 11171630 to the power of 1\/9, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*a - 12 = 2*a for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -2*d**2 + 2*d - 17. Let r be t(-5). Let v = -40 - r. What is the tens digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) be the third derivative of -r**4\/12 - r**2. Let c(x) = -3*x**2 - 4*x + 4. Let m(q) = 3*q**2 + 5*q - 5. Let s(f) = -5*c(f) - 4*m(f). What is s(t(w))?\nAnswer: 12*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 105154396?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + 6*(-5*(sqrt(204) + (sqrt(204) - sqrt(204)*4 - sqrt(204)))*6)\/(4*sqrt(2352)))**2.\nAnswer: 540*sqrt(17)\/7 + 312961\/196","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 475, 476, 477, 478, 479, 480?\nAnswer: 481","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1584429 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -3058002979922 from -0.5.\nAnswer: 3058002979921.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g - 8 = a, -12255*g = 3*a - 12246*g - 18 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a\/(a\/(a*a\/a**0)))\/a)**(-8\/13)*(a**(-1\/3))**13)\/((a*(a\/(a\/(a*a**(-8))*a)*a)\/a*a)\/a*a**3)**(-4\/5) assuming a is positive.\nAnswer: a**(-1589\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 74 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 201 is divided by 34?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -530, -537, -548, -563, -582?\nAnswer: -605","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/b**(-2)*b*b*b)\/b**(3\/5)*(b\/(b**1\/b)*b)\/(b\/((b\/b**(-5))\/b)))**48 assuming b is positive.\nAnswer: b**(2736\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 489.\nAnswer: 3, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 520, 0.5, -2, -1003?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:53 PM and 11:14 AM?\nAnswer: 681","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 14.4 times -164\nAnswer: -2361.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 18872450 and 600.\nAnswer: 226469400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 460942 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is (-3 + -85)*-101 - 1 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 7*n**2 + 3*n - 10. Let i be h(2). List the prime factors of 4452\/(-8)*(-16)\/i.\nAnswer: 7, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*m + 827 - 16*m - 823 + (0*m + m - 2*m)*(5 - 1 - 3) + 3*m - 4*m + 0*m + 3*m - 5*m + 3*m + 2 - 2 + 2*m.\nAnswer: -17*m + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.144 + 0.144. Put 1, l, -3, 1\/12 in ascending order.\nAnswer: -3, l, 1\/12, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 3*w**2 + 2*w + 10. Let t be v(-4). Suppose -5*i - t = -5*d, 21 - 5 = 3*d + 4*i. Let k(z) = z**2 - 7*z + 10. List the prime factors of k(d).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*z = -29*z + 16296. Is 97 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-24)\/(-32))\/(((-3)\/(-12))\/1). Suppose -6 = -0*z - z - l, 0 = -m*l + 12. Solve 4*b - 5*y = 9 + 5, -z*b = y for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (465612\/34704)\/(1\/((-9)\/(-21))).\nAnswer: 23\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 93111, 195537, 297965, 400395, 502827, 605261, 707697?\n\"Answer: m**2 + 102423*m - 9313","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -85 = u - 84 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*s + 85 = 10*s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 192 - 1345\/7. Is -0.18 at most as big as b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 2*f**3 + 70*f**2 - 52*f + 60. What is the units digit of u(-35)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -38567, -77068, -115437, -153608, -191515, -229092, -266273?\n\"Answer: 11*k**3 - 38578*k","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cccc when four letters picked without replacement from {c: 4}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 155 = -3*m + 166, 0 = 4*x - 2*m - 14. Solve -l - 4*l = k + 23, 3*l + 24 = -x*k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 55257054 + -1?\nAnswer: 55257053","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 5 (b) -686 (c) -0.025 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -2*x**3 + 3*x**3 + 2*x**2 - 4*x**2 - 64*x - 3 + 57*x. Let d be y(-2). Put -4, d, 1 in descending order.\nAnswer: 1, -4, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 249287 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -719 + 738. Sort 2, -2\/9, 1, z in descending order.\nAnswer: z, 2, 1, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2590823 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 190720799 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-12)\/54 + (-263)\/(-9). Let h = l - 23. Suppose 2*t = -3 + 7. What is the remainder when h is divided by t?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:28 PM and 10:53 PM?\nAnswer: 385","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 111850935?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 4*y**5 + 8*y**4 + 5*y**3 + y**2 - 3*y + 3. Let w(b) = b + b**3 - 4*b**5 + b**2 + 896 + 3*b**5 - b**4 - 897. Let v(z) = 6*w(z) + 2*x(z). Factor v(m).\nAnswer: 2*m**2*(m + 1)*(m + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*n**2 + 1038*n - 19656.\nAnswer: 3*(n - 18)*(n + 364)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = k + 11, 0*l - 4*l = -2*k + 38. Suppose -7*z + k = -4*z. Suppose z*y = -3*m + 1866, 0 = -3*m - y - 405 + 2273. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -16 - -17. Let f = -17 + 15. Let h be -2 - 6*2\/6. Which is the second smallest value? (a) i (b) 0.3 (c) h (d) f\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/4*-6*(-3)\/(-3).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-9)\/(-2) - 4) + 1. What is the closest to -3 in 5, r, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 238 - 59. What is the hundreds digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 109407.1 millennia to decades.\nAnswer: 10940710","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a litre in millilitres?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 15*z. Let v(f) = 3*f + 8*f - 18*f. Give -4*a(x) - 9*v(x).\nAnswer: 3*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5816614?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = c**2 - 3*c - 3. Suppose -18 = -3*j - 12. Let u(m) = 4*m**2 - j*m - 2*m**2 - m**2 - 4 + m**2. Let k(p) = -4*s(p) + 3*u(p). Factor k(f).\nAnswer: 2*f*(f + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 33761?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.8 - -1. Let u = -2.9 + p. Let o = 1.0846 + u. What is o rounded to three decimal places?\nAnswer: -0.015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 26699, 54256, 83515, 115328, 150547, 190024, 234611, 285160?\n\"Answer: 142*l**3 - l**2 + 26566*l - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Total of 232.66 and 0.05.\nAnswer: 232.71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = u**2 + 339551*u - 3056070. What is q(9)?\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 194866 = -2655*n - 1395*n - 48134 for n.\nAnswer: -60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 42.2 - 47. Let n = 5 + p. Do n and 3\/8 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = 3*x + 4, 21*x - 22*x - 23 = 3*i. Suppose 0 = 3*d - 2*s - 4, -3*d - d + 4 = -4*s. Put x, -4, d, -5 in decreasing order.\nAnswer: d, -4, -5, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 - 1 = -2*w. Let x = w - -4. Is x less than or equal to -5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -1. Let h(q) = q**2 - 4*q - 6. Suppose -3*u = -21 - 42. Let c(n) = 0*n + 24*n**2 + 6*n - 4 - u*n**2 + 1. Let p be c(-3). Give p*f(b) - h(b).\nAnswer: -b**2 + 4*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -3226 - 3228 - 3230 + h**3 + h**4 + 5*h + h**4 + 9686 as w*h**3 + s + q*h**2 + b*h**4 + z*h and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 236862008.\nAnswer: 2, 263, 112577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 134915327.\nAnswer: 11489, 11743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -319707, -319700, -319681, -319644, -319583, -319492?\nAnswer: -319365","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -4743*z - 28336. Determine t(-6).\nAnswer: 122","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = j - 5, -2*d = 2*j - 5*j + 11 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1737?\nAnswer: 3, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1\/2 (b) -4 (c) 25 (d) 1 (e) 2\/3 (f) 10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 1484*f**2 + 96*f + 270. Does 6 divide z(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 73*n + 182*n + 177*n - 78*n.\nAnswer: 354*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-39)\/15 + 24\/40. Let u(q) = -q**3 - 8*q**2 + 5. Let l be u(-8). Put l, h, 4 in ascending order.\nAnswer: h, 4, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -9.7 + 7.7. Which is the third smallest value? (a) -3 (b) 1 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:56 PM and 9:08 PM?\nAnswer: 132","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -6, -1, -0.6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three fifths of a litre?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 66.466l in millilitres?\nAnswer: 66466","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1340314 (base 5) to base 7\nAnswer: -143264","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 28 - 32.6. Round k to 0 decimal places.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 29862\/13 + -2468. Let x = g - -171. Do x and 0 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -57 (base 10) to base 14.\nAnswer: -41","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*f**2*g*z + f**2*z**2 + 7*f*g*z**3 - 4*f*z**3 - 3*g*z**3 - 4*z**2 wrt g.\nAnswer: 2*f**2*z + 7*f*z**3 - 3*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 4, -52 in ascending order.\nAnswer: -52, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*x**3 + 1547*x - 47 + 19 - 46 - 1547*x.\nAnswer: 2*x**3 - 74","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*m + 0*m - 3*m = -o - 6, -40*o - 19*m + 29*m + 61 = -29 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 48*j + 74*j - 2549473 + 233547. What is the ten thousands digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = n**3 + n**2 - n + 18. Let z = -9 + 9. Let d be b(z). Does 25 divide ((-6)\/4)\/((-1)\/d)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 37 divide 24160?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -4 - (-4)\/(-3 - -5). Let w be z\/(-7) - (-104)\/28. Let o = 10 - w. 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: Express -4 + 172*u**4 - 8*u + 8*u - 167*u**4 + 2*u**2 + u**3 in the form i*u**3 + q*u**2 + z*u + k + m*u**4 and give m.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -10 - -14. Suppose p*c + 3*t = 232, -c - 2*t + 63 = -0*c. Let f = 37 - 26. Calculate the greatest common divisor of f and c.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -47*v - 60. Let i be o(-3). Let m = 141 - i. Let d(z) = 5*z**2 - 4*z + 3. Let j be d(2). Calculate the greatest common divisor of j and m.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = j + 4. Let p(y) = -2*y - 8. What is 5*n(k) + 2*p(k)?\nAnswer: k + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -14, -4, 3, -57590 in ascending order.\nAnswer: -57590, -14, -4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 25 (base 15) to base 9\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 32*b**2 + 51*b**2 - 76*b**2. Let z(d) = -14*d**2. Determine -14*u(m) - 6*z(m).\nAnswer: -14*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 12332 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 502?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4 - -7. Suppose 0*c = -5*c - 5*n + 35, 3*n = -c + 17. Solve c*j + w = -j for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 155*s**2 - 70*s**2 - 64*s**2 - 41*s**2 - 32*s**2 - 37*s**2.\nAnswer: -89*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1803881 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 2, y: 3, t: 2, n: 2}. Give prob of sequence nnt.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 3 = -6. Let z be (2\/10)\/(d\/15). Find i such that 1\/3*i**2 - 1\/3 + 1\/3*i**3 - z*i = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2597\/1128 + -24\/47. Find the common denominator of -51\/32 and r.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 - ((-1 - (3 + -6)) + (-7 - 20))?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -257 - -497. Calculate the common denominator of 31\/6 and (-1085)\/k - 2\/3.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 19, 46, 85, 142, 223?\n\"Answer: m**3 + 20*m - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/5 + (15\/(-25))\/(2\/22)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = q**3 + 3*q**2 + 5*q. Let c(t) = t**2 + t. Suppose -6*u - 12 = -3*u. Let h = u + 3. Calculate h*m(x) + 3*c(x).\nAnswer: -x**3 - 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = g - 16. Let w be c(18). Solve w*j + 9 = -j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*1*sqrt(34))\/(2*(1*sqrt(2) + sqrt(2)) - sqrt(2)) - ((sqrt(340)\/sqrt(10))\/sqrt(2) - sqrt(34)\/(-4*sqrt(2))).\nAnswer: -23*sqrt(17)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + sqrt(2)*1*6*-6 + -6*(sqrt(384)\/(sqrt(12) + (-1*sqrt(12) - sqrt(12))) - sqrt(32)).\nAnswer: 5 + 12*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = 3*b - 16, 8 = 8*o - 10*o. Suppose -5*k + 1 = -4, b*x - 24 = 4*k. What is the remainder when 17 is divided by x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -19619.7246 to the nearest 10.\nAnswer: -19620","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -25 + (-6080)\/(-48) + 1\/3. Calculate the highest common divisor of 2278 and a.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 373.4694nm to kilometers.\nAnswer: 0.0000000003734694","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-118)\/236)\/(1 + 10\/(-12)). Let v(h) = 4*h + 17. Let s be v(-5). Let x be (s\/12)\/(-1*1). Which is the nearest to -1? (a) x (b) -0.6 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-66)\/(-6) - (-1 - 0). Suppose k*y - 7837 = -5*y. What is the tens digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/z**(-3\/5))\/(z\/((z*z\/z**7*z)\/z))*(z\/(z*z*(z*z**(-1\/3)*z)\/z*z))**(-40)*(((z**(-1)\/z)\/z)**(-44))**(2\/3) assuming z is positive.\nAnswer: z**(2854\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -11 or -13?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f = 5*a - 14, 5*a + 3 - 23 = 5*f for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (16\/(-14))\/(176\/(-24640)). What is the highest common divisor of 4640 and m?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 14 + -9. Let b = 88 + -92.9. Let l = b + w. What is the biggest value in 3, 5, l?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7535.\nAnswer: 5, 11, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 48277 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2 - 1. Let v be -2*(z - 0) + 48. Suppose 0 = m + 3*m + 2*f - v, 4*m - 2*f = 42. What is the tens digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -7\/2 in 0.3, 4, -5, 38?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i + 4*g = 11, -4*i - 5 - 3 = -g for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l - 2 = 2*a, 2*l + 2*a = 6*l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -4.40510813 to 3 decimal places.\nAnswer: -4.405","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 175\/(-7)*((-39600)\/(-250))\/66.\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 16 + 6 + 14*l - 813*l - 22 as t + y*l and give y.\nAnswer: -799","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 5460 a multiple of 60?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by 747.\nAnswer: 1\/747","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 204524 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = -5*f + 6, -f + 22 = 4*z + 2*f. Suppose z*c - 325 = 27. What is the tens digit of ((-1)\/(-2))\/(1\/c)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*l - 6*l + 2*l + (2 - 3 - 1)*(-3*l + 6*l - 2*l) + (10 - 10 - 8*l)*(-1 + 1 - 4) in the form h + x*l and give x.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide 116426376 by 14553297.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -23*c + 61. Let j(b) = 113*b - 305. Let u(z) = -2*j(z) - 11*q(z). Is u(11) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3543 (b) -5\/16 (c) 140\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1046051107 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve v + 2*h - 9 = 0, -4*v + 12 = -h + 3*h for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 less than 7\/1698793?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 66 and 110?\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i + 2*i + 994 = 1072 for i.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 4144380949 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y and 1 a when three letters picked without replacement from yaevveeeyeevyvevv?\nAnswer: 3\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -1452\/1505 greater than or equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2295 + 4614 + 2995 = -968*f - 8238 for f.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 27\/11 and 118\/((-70)\/(-2 - -1)).\nAnswer: 385","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = t**2 + 2. Let i be q(-4). Let l be (-1)\/((-2)\/i*(4 - 1)). What is the highest common factor of l and 24?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -570 + 3966\/7. Suppose 4*h - 4*s + 2 + 2 = 0, 1 = -3*h + 4*s. Which is greater: h or y?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 30*b**2 + 5*b. Suppose 3*x - 6 = 6. Let m be d(x). Round m to the nearest 100.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -108 divided by 36\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 77 and 517.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 255694 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 2\/5 of a century in decades?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f**(1\/16))\/(f*(f**(-1)*f)\/f*f*f*f) assuming f is positive.\nAnswer: f**(-31\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8 - 91*r - 3 - 4 - 27*r.\nAnswer: -118*r + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1951 a factor of 32497807?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) be the second derivative of 28*d**6\/5 + 61*d**3\/6 - 27*d. Find the second derivative of j(m) wrt m.\nAnswer: 2016*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 142385823?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from drsoswdq. What is prob of picking 1 s, 2 d, and 1 o?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x - 3 = -24, -9*l - 2*x + 2 + 17 = -4*l for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by -1246\nAnswer: -1\/623","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*-0.0051.\nAnswer: -0.0051","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -12 - -17. Solve 16 = h*a + g - 13, -4*g = -16 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -16*n + 54. Let l(z) = 32*z - 119. What is -9*j(s) - 4*l(s)?\nAnswer: 16*s - 10","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Let c(i) be the third derivative of i**7\/840 + i**6\/480 - i**5\/40 - i**4\/24 + i**3\/3 - 2*i**2 + 7. Determine l, given that c(l) = 0.\nAnswer: -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 73417 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/3 + 1)\/(65\/130)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/8 - 31\/4. Let y = 1284 + -1281. Put -1, o, y in descending order.\nAnswer: y, -1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9070409*18\nAnswer: -163267362","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -182990*25\nAnswer: -4574750","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -152 + -22598.9\nAnswer: -22750.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/((v\/(v\/v**6))\/v)*v\/v**(-7))\/((v*v\/(v*v**(-5\/4)*v)*v)\/(v*(v*((v**6*v)\/v)\/v)\/v)) assuming v is positive.\nAnswer: v**(31\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*5*-2*sqrt(11) + (-2 + sqrt(44)\/sqrt(4) - ((sqrt(88)*-2 - sqrt(88))\/sqrt(8))**2).\nAnswer: -39*sqrt(11) - 101","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -67, -62, -53, -40?\n\"Answer: 2*t**2 - t - 68","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 97 - 134 - 109 - 75 - 2*k**3 - 243*k**2.\nAnswer: -2*k**3 - 243*k**2 - 221","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 1382*d - 5532. Calculate m(4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.505 rounded to the nearest integer?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -d**3 + 4*d**2 + 9*d - 6. What is g(6)?\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1478?\nAnswer: 2, 739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*t = -12*t + 20 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16687 + 10441 = -3089*n + 40089 for n.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 2*w**2 - 19*w + 15. Let q(n) = n**2 - 9*n + 7. Let d(g) = -5*q(g) + 2*y(g). Suppose 3*r + 5*s + 10 = -0*r, 4*r + 2*s = 10. Calculate d(r).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 287808.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -128 + 19*p + 290 - 162 - 24*p.\nAnswer: -5*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 457624299 and 2541.\nAnswer: 363","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = u**2 + 7*u + 8. Let h be a(-6). Suppose 0 = -h*s + 1268 + 922. Suppose 2*r - 3*y = s, -520 = -r - 3*y - y. Round r to the nearest 100.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 164*a - 20*a - 11 = -587 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -20424 divided by -851?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by -1182?\nAnswer: -1\/591","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -195883946, -783535785, -1762955516, -3134143139?\n\"Answer: -195883946*c**2 - c + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/15 - -5*(-564)\/(-900). Let o = -0.0485 - 0.0515. Let i = -12 + 7. Which is the closest to o? (a) i (b) -7 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -404729, -809844, -1214959, -1620074, -2025189, -2430304?\n\"Answer: -405115*l + 386","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) be the third derivative of -1\/12*c**4 + 0*c**3 + 0*c**7 + c**2 + 0*c**6 + 0 - 1\/112*c**8 + 0*c + 0*c**5. Find the second derivative of b(r) wrt r.\nAnswer: -60*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7799 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qrreb. What is prob of picking 1 r and 1 e?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -250284*x**2*y**3 - 7*x*y**2 - 8*x*y + 352*y**3 wrt x.\nAnswer: -500568*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -r**2 - 149*r + 747. What is o(-149)?\nAnswer: 747","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let -56378*p**2\/5 + 732924*p\/5 - 26 = 0. What is p?\nAnswer: 5\/28189, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -10890 divided by 2178?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = p**3 - 2*p**2 - 31*p - 17. Calculate b(-5).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -3*b**3 + 5*b**2 + 6*b. Let f = -2893 - -2880. Let t(h) = 6*h**3 - 11*h**2 - 13*h. What is f*r(n) - 6*t(n)?\nAnswer: 3*n**3 + n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-10 - -1) + (8 - 1) + -3. Let x(f) = -f**3 - 4*f**2 + 6*f + 4. Determine x(z).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 1, 10, -21, 3.\nAnswer: -21, 0, 1, 3, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + sqrt(32) + 3.\nAnswer: 1 + 4*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1 and -225.\nAnswer: 225","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -29.7 - -496.7. Let i = 467.0342 - a. Round i to 3 dps.\nAnswer: 0.034","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 67 (base 8) in base 4?\nAnswer: 313","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 4*d - 10 = 0. Let k = 16 - d. Suppose 3*h = 3*v - 63 + k, -4*v + h + 82 = 0. What is the common denominator of v and 34?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tpt when three letters picked without replacement from {p: 1, t: 3, k: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -57*l = -64*l - 9842. Let w = l + 2537. Is 13 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 284 take away 1500?\nAnswer: -1216","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-34610)\/(-24227) + (-213)\/154.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4*-55.\nAnswer: 220","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34*b + 31*b = 2*p + 2, -5 = -p for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -y**2 + 18*y - 7. Let j(b) = -b**2 + b - 1. Let p(q) = 2*j(q) - k(q). Let i = 908 - 902. Calculate the least common multiple of i and p(-9).\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -97 and 233396.\nAnswer: -22639412","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -t**3 - 422*t**2 - 822*t + 7554. Give n(-420).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 710 and 3000?\nAnswer: 213000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 197887.2785 rounded to the nearest one thousand?\nAnswer: 198000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) be the third derivative of 0*t**3 + 0*t**4 + 0*t**6 + 0*t - 1\/105*t**7 + 0 - 3*t**2 - 1\/30*t**5. Find the third derivative of x(a) wrt a.\nAnswer: -48*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g - 79 = 11*h, 0*h + 13 = -2*h + g for h.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + 18 + -19 + 1 + -6?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -5 (b) -7\/6 (c) 0.4 (d) 0.3 (e) -3\/14\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 15999400 to the nearest one million.\nAnswer: 16000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 9, t: 1, a: 1}. Give prob of sequence ta.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 15137449 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) be the third derivative of 5*i**4\/12 - 11*i**3\/6 - 463*i**2. Give o(2).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.3 and -29734.39?\nAnswer: -8920.317","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -d**3 - 53*d**2 - 609*d + 111. Let v be y(-36). Let t(u) = u**3 + u**2 - 9*u - 2. Determine t(v).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 17*q = -15*q - 28, -5*x + 48 = 3*q. Solve -5*r - 9 = -3*g - 0, 0 = 4*g + 3*r - x for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 6*r + 39. Let t be z(-6). What is the hundreds digit of 98 + 3 - (t - 5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.06, 1\/9, 4, 26, 69 in ascending order.\nAnswer: 0.06, 1\/9, 4, 26, 69","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(126)\/(sqrt(6) - (sqrt(6) - sqrt(54))*-6))\/(5*sqrt(27)*6).\nAnswer: -sqrt(7)\/990","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -c**3 + 14*c**2 + 17*c - 10. List the prime factors of a(7).\nAnswer: 2, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 235 and 0.6?\nAnswer: 141","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/1771 in -4\/9, 2\/5, -314\/225?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 28\/6 - ((-96)\/18 - -6). Suppose 4*w - 4 = 4*i - w, -k*i + 24 = 2*w. Calculate the lowest common multiple of 8 and i.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 15 and 45?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1382 + 5?\nAnswer: 1387","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.6371*-0.2.\nAnswer: 0.32742","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + x - 2 = -x, 2*q + 2*x = -2. Let h be (-175)\/(-105) + 1\/3. Solve -q*n + n + 2 = -3*l, -n + h = -2*l for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22372 is divided by 718?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4 - 2) + -6 - (-31 - -28).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -804 - -804. Let s = -0.3 + 1.3. Let g = s + 1. Which is the second biggest value? (a) z (b) 3 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 45, 48, 49, 48?\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t - 4*t + 824 = 48*y, -y - 347 + 372 = 2*t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1 + -1. Let w = 5 - 3. Let q(i) = 0 + i**2 + 3*i - i + w. Determine q(b).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ydd when three letters picked without replacement from ddyyyd.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -34*n**4 - n**2 - 20*n + 9 wrt n?\nAnswer: -408*n**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-10)\/4*(-1 - (89 - 2)). Is g at least as big as 219?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - 5 = -5*i, 4*i - 5*k - 8 = -0. Let d = 2720.9 + -2721. What is the biggest value in 7, i, d, 1?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 45233 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that -z**2 - 24427*z + 97724 = 0.\nAnswer: -24431, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 55*x**2 + 54*x**2 + 22*x**2 - 187*x**2 + 52*x**2.\nAnswer: -4*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 7748 and 52?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 2499716975?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 28\/21 + (-3 - 6\/(-4)). Let c = 1.9 - 1.82. Let p = 0.02 + c. What is the smallest value in 4, p, k, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*f**2*g**3*u + f**2*g**3 - f**2*g*u + 200*f*g**3 + 38*g**3*u with respect to u.\nAnswer: 2*f**2*g**3 - f**2*g + 38*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27 - 52 - 44*k**2 + 25 + 263*k**2.\nAnswer: 219*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 36*w**3 + 27*w**2 - 11*w**2 - 13*w**2 wrt w.\nAnswer: 216","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -3, -6\/17, 1, -31?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -1.4, -2, 5 in decreasing order.\nAnswer: 5, -1.4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -17 bigger than -19170.18?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -291 or -11?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 267 = -d, -53 = 2*t - 3*d - 310. Suppose -t = a - 3*a. Suppose -2*v = -0*v - a. Is 20 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = h**3 + 8*h**2 - 9*h + 24. Calculate q(-9).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -87316*n**5 - 3*n**4 + 19*n**2 - 79667676*n?\nAnswer: -1746320*n**3 - 36*n**2 + 38","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) be the second derivative of 11*t**5\/20 + 5*t**2 + 8*t. What is the first derivative of l(a) wrt a?\nAnswer: 33*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 r when two letters picked without replacement from {e: 4, m: 2, q: 4, z: 2, b: 1, r: 2}.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-136)\/24 - 6\/(-9).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 15107\/2 or 7553?\nAnswer: 7553","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n - 172861 + 172856 = h, n - 20 = 4*h for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-4)\/(-3) + (-15 - (-652509)\/81)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -166 - -1325\/8. Let p = 48 - 43. Which is the second smallest value? (a) q (b) p (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-2)\/(-12))\/((-15)\/30). Which is the biggest value? (a) -2\/15 (b) 1 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(153)*-4*4*-6)**2*1.\nAnswer: 5640192","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Are -0.8 and -2300069 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 56 divide 5172006?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (33\/(-22))\/((-3)\/6).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(1\/2)*s\/((s\/((s*s**(9\/2))\/s)*s)\/s*s)*(((s\/(s**7*s))\/s)\/s)\/s**(1\/6) assuming s is positive.\nAnswer: s**(-31\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 3449299001?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:25 PM and 7:03 AM?\nAnswer: 578","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 15512846, 31025690, 46538534, 62051378?\n\"Answer: 15512844*n + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 3073+0.14786\nAnswer: 3073.14786","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 7, 3, 8, -8, 1\/6, 0.2, -2\/3?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aatt when four letters picked without replacement from {t: 8, a: 3}.\nAnswer: 7\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -2 (b) -41.1 (c) -1\/31 (d) -3 (e) 2\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -112, 318356 in increasing order.\nAnswer: -112, 4, 318356","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*n + 8, 4*x + 16 + 0 = -2*n for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 0 - 6*y - 921*y**3 - 7*y**2 + 922*y**3 - 8. List the prime factors of d(9).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (4 - 75) + -4 - -11 - (-12 - -3)?\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -532*a - 170*a - 860*a = 104*a - 84966 for a.\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 16 or 4156?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1340424 + -21?\nAnswer: -1340445","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10 + 8 - 13)*(-2*s + 2 - 2 + s + s - 3*s + (-1 + 2 - 3)*(2 + 2*s - 2) - s + 2*s - 3*s - 7*s + 12*s - 3*s).\nAnswer: 105*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -81 * 0.02\nAnswer: -1.62","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -542887*n**2 + 41655*n - 1 wrt n.\nAnswer: -1085774","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 401 minutes before 2:57 AM?\nAnswer: 8:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tgttggggtgtgvggvvvt. Give prob of sequence vv.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1\/6544 and -17\/16.\nAnswer: 6544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5299344?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 12*g + g - 156. Let s be (g\/9)\/(8\/12). Which is greater: 21\/17 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 28 times 209?\nAnswer: 5852","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -0*y + y. Let f = 3 - -3. Suppose o - f = -2. What is the smallest common multiple of o and y?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10066 to the power of 1\/2, to the nearest integer?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 133295, 266583, 399869, 533153, 666435, 799715?\nAnswer: 932993","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -135*u**2 + 11*u - 9. Let b(w) = 49*w**2 - 4*w + 3. Let t(p) = -11*b(p) - 4*n(p). Let d(k) = 4 - 6 - k + k**2 + 2 + 5. Calculate 3*d(m) - 5*t(m).\nAnswer: -2*m**2 - 3*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 40 minutes after 9:13 PM?\nAnswer: 9:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 13*g**5 + 820*g**2 + 537*g**2 - 88*g**5 - 82*g**5 wrt g?\nAnswer: -9420*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 77505483746431 - 5*k**3 - 77505483746431 + 3*k**3.\nAnswer: -2*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (1 - 38\/12)\/(10\/(-60)). Calculate the smallest common multiple of 5\/1 - (p - 16) and 11.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4027620 to the nearest integer?\nAnswer: 2007","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 894482017?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.0313 - -41.8313. Let h = -481 - -439. Let x = t + h. Which is the third smallest value? (a) x (b) 2\/3 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 7? (a) -1 (b) -2 (c) 2 (d) -159\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 39*r - 190. Let p be w(5). Which is the closest to -0.433? (a) p (b) -2\/15 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/30)\/(617\/(-472005))?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 4266?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -72*a - 3991 = 224*a + 9625 for a.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - 5*s + 53 = 0, -s - 1 = 2. Suppose 16*h + 83 = o*h. Does 40 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (27 + -28)*(0\/(-2) + 1).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 23e7 + -8?\nAnswer: 23df","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let -s**4 - 11*s**3 - 41*s**2 - 61*s - 30 = 0. Calculate s.\nAnswer: -5, -3, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 16*y**2 + 3. Let f(b) = -65*b**2 - 13. Give 3*f(v) + 13*i(v).\nAnswer: 13*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-21*(-112)\/18522)\/((-2)\/3).\nAnswer: -4\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 677 minutes after 9:38 AM?\nAnswer: 8:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101110111100001100010 + 110000?\nAnswer: 101110111100010010010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r + c - 3*c - 15 = 0, -3*r - 2*c = -25 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 0*h = -2*h + 40, 17 = a - 3*h. Suppose 3*z - 14 = z. Calculate the greatest common factor of a and z.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 96063 to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 10\/45 - (-32)\/18. Suppose 4*z = 3*f, -5*z = -5*f + b*f. Let h be (z*4\/(-12))\/(-2). Solve 2*v = q - 12, h*q - 2*v = 2*q + 6 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (1288\/12)\/((-8)\/(-12))?\nAnswer: 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29791 = -1297*f - 5837 - 34410 for f.\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -6*a - 4. Let t(l) = -l. Let z(b) = -q(b) + 5*t(b). What is z(-8)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 17, x: 2}. What is prob of sequence xgx?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/11*(-15268 + 15422)?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 d when two letters picked without replacement from dddjddjddd?\nAnswer: 16\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b**0\/b*b*b)**(-14\/11)\/(b**(-2\/11)\/b*(b\/(b\/b**(1\/10)))\/b))\/(b\/(b\/(b*b**6))*b*b*b**1*(b\/(b**(2\/3)\/b))**(2\/79)) assuming b is positive.\nAnswer: b**(-273667\/26070)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3 + (4120\/345)\/(-4). Put 0.3, -4, 2\/17, x in increasing order.\nAnswer: -4, x, 2\/17, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000388 rounded to five dps?\nAnswer: -0.00039","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dclllalu. Give prob of sequence cld.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 = 3*i - 180. Suppose 0 = -3*m - m + 12. Suppose 2*c + m*c - 145 = 0. Calculate the remainder when i is divided by c.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -126 or -584?\nAnswer: -126","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23*b**2 - 23*b**2 + 23478 - 23478 - 26*b**2 + 66*b**2.\nAnswer: -6*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (1 + -3)\/((-4)\/6). Let w(c) = c - 17. Suppose -13*u + 121 = -126. Let t be w(u). Solve a = -o + t for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -17\/15 and 67\/1245?\nAnswer: 1245","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1539) + sqrt(1539) + 3*(sqrt(1539)*2 + sqrt(1539)) + sqrt(1539) + sqrt(1539))*-6)**2.\nAnswer: 9363276","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2 + 8. Let t = 5.8 - v. Let g = -31 - -31. What is the nearest to g in -0.3, t, 1?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -537 - 293 = -5*b. Calculate the remainder when b is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -113\/13280 and -81\/400.\nAnswer: 66400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -7*j - 52. Let h be u(-9). Suppose -619 + 2357 = h*x. What is the units digit of x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = v + s - 1, -v + 15 = 3*s + 4 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-531)\/(-144)*-4*((-4012)\/4 + -1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 192083 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 85 + -85. Suppose -8*v + v + 1449 = b. What are the prime factors of v?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 64, 125, 176, 211, 224, 209, 160, 71?\n\"Answer: -s**3 + s**2 + 65*s - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1240 and 20584.\nAnswer: 248","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6931 is divided by 505.\nAnswer: 366","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -48678 + -9.\nAnswer: -48687","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 + 0 - 92*l**2 + 94*l**2 + 8*l = 0. Calculate l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 5, -5, 2 in decreasing order.\nAnswer: 5, 2, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 471 = 3*k + 1780, 2*k + 6 = 0. What are the prime factors of b?\nAnswer: 19, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 58 = 5*w, 0*w + 14 = a + w. Suppose a*u - 7*u = 36. Suppose 10*j - u*j - 216 = 0. What is the tens digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 629386.6ml in litres?\nAnswer: 629.3866","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 19 + -11. Suppose -4*r = -t + 19, -5*r - 57 = -4*t + b. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-3 - -1) + 348 + 6. Let o = 4631 + -4599. What is the greatest common divisor of n and o?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-2\/33))**(-2\/5) assuming a is positive.\nAnswer: a**(4\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = p**3 - p**2 - p + 35. Let q(i) = i**2 - 6*i - 7. Let n be q(7). Suppose g = -n*g. Is z(g) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -h + 0*h - 44 + 1238.\nAnswer: -h + 1194","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 take away -68?\nAnswer: 68.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3335?\nAnswer: 5, 23, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1566*s**3 + 2135*s**3 - 1372 - 1382*s**3 - 5571*s**3 wrt s?\nAnswer: -19152*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 873270479 to the power of 1\/3, to the nearest integer?\nAnswer: 956","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) be the first derivative of -6*a**2 - 4*a - 11. Let n be r(-3). Suppose -7*p + 12 = -23. Solve p*l - 7 + n = 0 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 1183, 5177, 12313, 22981, 37571, 56473, 80077, 108773?\n\"Answer: 65*l**3 + 1181*l**2 - 4*l - 59","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -67*k + 132*k - 4392 = 59*k. Is k a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 32048 and 9216.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -670 = 10*d + 1100. Let c = d - -830. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 5*i**2 + i + 2. Let s(l) = 11*l**2 + 3*l + 5. Let n(q) = 4*s(q) - 9*v(q). Let w be n(3). Which is smaller: w or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 376367117?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = 20 - 5. Let x(h) = h**3 + 2. Let o be x(j). Let y = o - 21. What is the units digit of y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 225\/26 - 6023\/702. What is the nearest to h in 0.4, 3, -4\/17?\nAnswer: -4\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 111542 + 111552 - 2*d + d - 223094.\nAnswer: -d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1*654233.\nAnswer: -65423.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 190 is divided by 13.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1034, -2126, -3270, -4466, -5714?\nAnswer: -7014","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1\/5, 36587, -62?\nAnswer: -62","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from agsg. Give prob of sequence gas.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (18178*d**2 - 10*d + 27*d - 18104*d**2)*(0 + 2 - 1).\nAnswer: 74*d**2 + 17*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -18*q - 10. Let g(n) = -15*n**2 - 1. Calculate g(u(c)).\nAnswer: -4860*c**2 - 5400*c - 1501","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.25615 litres to millilitres.\nAnswer: 5256.15","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1408215 divided by -281643.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 50, 5, 3?\nAnswer: 50","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 395.1 - 393.1. What is the closest to t in -13, 0, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2259883096 to the nearest integer?\nAnswer: 1312","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-16) + (-150)\/48.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11953448 to the power of 1\/5, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 280450456 a multiple of 572?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 17 - 7. Let v = -6 + y. Suppose -16 = -v*c + 12. Does 7 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that 4 + k**2 - k**2 + k**3 - 3*k**2 = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 670, 1341, 2012, 2683?\n\"Answer: 671*k - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 66.52149 seconds to nanoseconds.\nAnswer: 66521490000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 76*9\/(-324)*-9?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) be the first derivative of j**3\/3 + 5*j**2 + 6*j + 90. Determine r(-8).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/(-51))\/(25\/150).\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -105*u - 983 = 1857 + 2095 for u.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -5*w - 3*d, -3*w - 210*d = -209*d - 3. What is the nearest to -1 in 4\/11, 4, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 15071, 8, 0.2, 24?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12333.\nAnswer: 3, 4111","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2574)\/(-1001)*(-3)\/(-54)?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -928*f + 937*f. Which is the closest to f? (a) 0.5 (b) 143 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 41402?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that -4*u**3 - 79212*u**2 + 1188976*u - 2061072 = 0.\nAnswer: -19818, 2, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4.1 + 4. What is the second biggest value in 5, -0.2, t, -0.3?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12349611?\nAnswer: 3, 457393","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.02 times 8779?\nAnswer: -175.58","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -8*c**3*w + 514743486*c**3 + 18*c**2*w - 1694*c*w - 3*w wrt w?\nAnswer: -8*c**3 + 18*c**2 - 1694*c - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 13 + 9?\nAnswer: 1c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k = -13*t + 55, -k + 4*k - 243 = -5*t - k - 260 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2033 is divided by 170.\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (2\/6)\/((-1)\/(-267)). Let z = -46 + w. Let f = z - -16. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3002 = -4*x - 5*o + 3*o, -5*o = -2*x + 1519. Suppose 0 = -5*t + c - 292 + 1556, -c + x = 3*t. Suppose 4*j + 5*j - t = 0. List the prime factors of j.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 43 = -4*q + 137, 10 = -5*q. Calculate the least common multiple of 102 and p.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3\/4, 3, 4, -1.66?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-22)\/(-462))\/((4\/2)\/(-6))?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = j**3 - 2895*j**2 + 28828*j + 205. What is m(10)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.01, 1\/581, -6\/17, -1.7, 0?\nAnswer: 1\/581","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.1685 rounded to 2 dps?\nAnswer: 1.17","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 67 = -3*b - 5*p, 6*b - 7*b = -3*p + 27. Suppose 10668 - 2732 = -4*y. Is (y\/b + (-4)\/6)\/2 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -114*q**3 + 42*q**3 - 49*q**3.\nAnswer: -121*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7, 26, 57, 100?\nAnswer: 155","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 0 - 3 = 0. Determine s so that 4 + 17*s**2 + 4*s**2 - 27*s + q - 1 = 0.\nAnswer: 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 5639 and 5638 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -36450 rounded to the nearest ten thousand?\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 39469?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n**3 - 100208*n**2 - 5214872*n - 67810912 = 0 for n.\nAnswer: -26, 50156","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -7 - -13. Suppose 0 = g + 3*i - y, -3*g + 3*i + 7 = i. Suppose 2*r - k = 194, 2*r - g*r = -4*k - 104. What is the highest common divisor of 12 and r?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l = -l - 1. Calculate the common denominator of 114\/108 - (0 - l) and 131\/18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 73 * -1302.7.\nAnswer: -95097.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-102764)\/44680)\/((-1)\/20)?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 4293*r - 6558. What are the prime factors of y(13)?\nAnswer: 3, 16417","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9626140 is divided by 428?\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 13048\/303 + -40\/101. Let q(w) = 2*w**2 + 4*w - 6. Let l be q(-6). Which is greater: j or l?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1666.84ml in litres?\nAnswer: 1.66684","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*p - 820 + 268 + 271 + 275.\nAnswer: -10*p - 6","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lggfxxxlgc. What is prob of picking 2 l and 1 f?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 66885, 65784, 63949, 61380, 58077, 54040, 49269?\n\"Answer: -367*g**2 + 67252","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*(y*y*(y\/((y*y*y\/((y*y**14)\/y))\/y))\/y)\/y)\/y*y*y**22 assuming y is positive.\nAnswer: y**36","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = x**2 + x - 4. Let i be t(-3). Find the second derivative of 4*a + 6*a**2 - 3*a - i*a + 3*a wrt a.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12280504219 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = i**3 + i**2 + 4*i - 4. Suppose -2*h = r - 6, 5*r = -2*h + 7*h - 15. Let l be t(h). What is the highest common factor of l and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*x - 16 + 0 = 0 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 216000 divided by 129\nAnswer: 72000\/43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 8606740 and 1620?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7392, 7402, 7412, 7422, 7432?\nAnswer: 7442","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 20 and 181592?\nAnswer: 907960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -11*p - 92. Let l be m(-8). Suppose 26*x - 23*x = 6, 4*q = -2*x. Sort q, -5, l, 1 in descending order.\nAnswer: 1, q, l, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -10 + 14. What is the remainder when (26\/6)\/((-11)\/(-33)) is divided by j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) be the first derivative of -r**6\/3 - 16*r**5\/5 - 21*r**4\/2 - 12*r**3 - 235. Factor c(x).\nAnswer: -2*x**2*(x + 2)*(x + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.0771 + 36.8229. Let l = -37 + o. Let d = 2 - 1.9. What is the nearest to -2\/9 in l, d, -2\/3?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1\/(-1)*(0 + -3). Suppose -3*d = 4*x + 4, -d + 0*x + 3 = -i*x. Solve -z - 4 = -5*y, 3*z + d*y = -4*y - 12 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1 + -2. Let m be 6*x\/6*-2. Suppose 14 = 4*b - m. Solve r = b*r + 9 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.11 - 10.89. Let z = n + 10. Which is the smallest value? (a) z (b) 3\/4 (c) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -12*v**2 - 34*v - 3. Let r(z) = -6*z. Determine a(r(q)).\nAnswer: -432*q**2 + 204*q - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 24 and 192?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -1432 smaller than -1210?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -176 - -405. Let j = i - 231. Let n = 1 + -1. Which is the fourth smallest value? (a) -1 (b) n (c) -2\/5 (d) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6 + 2. Suppose 0 = 14*x - o*x - 12. Solve -i + 4 = x for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by -918.\nAnswer: 1\/459","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -x + 1 + 3 - x. Suppose 2*a + 18 = -3*n, -a - 4*n = -3*a + 10. Let k(h) = -3 + 893*h**2 + 3*h - 2 - 894*h**2. Determine a*c(w) - 2*k(w).\nAnswer: 2*w**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.221983l?\nAnswer: 221.983","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 65\/84531 and 113\/210.\nAnswer: 5917170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor w**4\/2 - 213*w**3 - 2147*w**2\/2 - 1722*w - 862.\nAnswer: (w - 431)*(w + 1)*(w + 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 2*u**2 - 2*u. Let s be i(2). Suppose 4*r + 2*d + 1 = -d, -s*r = -2*d - 14. What is the third derivative of -r*c**3 - 4 + c**3 - c**2 + 4 wrt c?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (47 - 24 - 26) + 32.\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = v**3 - 3*v**2 - 2. Let o(i) = -17*i**3 + i**2 - 9*i + 32. Let d(a) = 9*a**3 + 5*a - 17. Let c(s) = 11*d(s) + 6*o(s). Determine 2*c(x) + 5*z(x).\nAnswer: -x**3 - 3*x**2 + 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(304) - -1*(sqrt(304) - 2*sqrt(304))**2) + 1 + -3.\nAnswer: 4*sqrt(19) + 302","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = u**2 - 4*u + 1. Let x be p(5). Let b(w) = w**3 - 5*w**2 - 4*w - 4. Give b(x).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 6, 2\/7, 5, -367, -5, 0.06?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 70311?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*k + 1116 = -844. Is k a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -744 - -748. Suppose -5*g + 2893 + 5782 = 3*a, r*g - 6927 = -5*a. List the prime factors of g.\nAnswer: 2, 11, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 0.5, 18379, 4\/7, 0.2 in descending order.\nAnswer: 18379, 4\/7, 0.5, 0.2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = d**3 - 4*d - 3. Let t be a(-3). Let z = 56 + t. Does 19 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1066*d**4 + 158199*d**2 - 79539*d + 811.\nAnswer: 12792*d**2 + 316398","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (64\/208)\/((-4)\/(-26))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1507836?\nAnswer: 2, 3, 11, 11423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in eighteen fifths of a litre?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8\/204*(-99)\/66.\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 5*g + 23 = -2, 2*g - 15 = -3*b. Let i = 0 + 3. Solve v = -b*c - 7, -5 = -5*c + i*v + 2*v for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 21\/(-2)*4\/3. Let w(x) = 4*x**2 - 27*x + 16. Let k(m) = -10*m**2 + 76*m - 44. Let l(z) = -4*k(z) - 11*w(z). Let q(i) = -i. Calculate v*q(h) + 2*l(h).\nAnswer: -8*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000021087787237 rounded to 7 decimal places?\nAnswer: 0.0000211","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 18820 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (1*sqrt(209)*6)\/(sqrt(66)\/(sqrt(42)\/sqrt(7))).\nAnswer: -5 + 6*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -1.08*97\nAnswer: -104.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 2*b**2 + 17*b + 30. Determine l(-4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/2, 46\/11, 0.2, -0.14, 2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (2\/(-54))\/(2\/6)*-3. Let g(o) be the third derivative of 0 + 0*o - 9*o**2 - 1\/10*o**5 - 1\/4*o**4 - 1\/60*o**6 - d*o**3. Let g(v) = 0. Calculate v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*v**2\/11 + 2954*v\/11 - 3724 = 0. What is v?\nAnswer: 14, 1463","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -317 = 7*i + 285. What is the remainder when -1*i*2\/4 is divided by 12?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6050 and 625?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 96 a factor of 2868192?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3\/11 + -7\/55. Suppose -4*h = 12, -13*h = 3*s - 15*h - 9. What is the closest to -1 in m, -1\/4, s?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/(-2))\/(3\/(-2)).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -x - 4*x - 5. Let z be (2 - 3)\/(x - 4). Let q = 0.95 + -0.85. What is the nearest to q in -9, -0.4, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -p**3 + 40*p**2 - 77*p + 50. Let s be t(38). Let q = 17 - 10. Solve -b - 2*l = -6*l + q, 2*b - s = -5*l for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33*p = 50 + 82 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-d**2 + 4*d**2 - 2*d**2)*(0 + 7 + 0) + 2*d**2 + 3*d - 3*d - d**2 - 5*d**2 - d**2 + (-7 - 4 + 8)*(0 + d**2 + 0).\nAnswer: -d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 970 + -952. Let s(o) = o**3 - 5*o**2 - o - 6. Let i be s(5). Let c = i - -25. What is the smallest common multiple of c and b?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 182940000 to the nearest 1000000.\nAnswer: 183000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 33388686 a multiple of 207?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -d**3 - 161*d**2 + 1663*d - 8028. Calculate n(-171).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-3\/4)\/(q*q*q*q*q**(-1)*q*q)*q**5\/(q\/((q*q\/q**3)\/q)))\/((q*q**2*q**5)\/(q**5*q**(-5))) assuming q is positive.\nAnswer: q**(-47\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-16)\/15)\/(2\/(-21)). Let u = y - 13\/2. Find the common denominator of u and (-439)\/90 - (-21)\/210.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bxbd when four letters picked without replacement from fxbddxdfbd.\nAnswer: 1\/315","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = t - 4*t + 146, 4*t - 2*j - 204 = 0. Suppose -55*d + t*d + 40 = 0. Let x(k) = -44*k**2 + 0*k + 8*k - d*k. Let o(s) = s**2. What is o(x(r))?\nAnswer: 1936*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 1, v: 1, j: 5, d: 1, y: 6}. Give prob of picking 2 j, 1 l, and 1 v.\nAnswer: 10\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 7 + -2. What is the tens digit of (-22)\/(-2)*(c - 3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1073.\nAnswer: 29, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 114 is divided by 54.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 66049344 and 96?\nAnswer: 66049344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 67687?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -44 - -44 - (6 - 8) - -5\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Is 18984596027 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 2 (b) -2\/15 (c) -3032 (d) 9 (e) -2\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 200222 - -20?\nAnswer: 200242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12937 is divided by 331?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 27\/2 of a gram?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2422654 a multiple of 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*p = -3*p - 505. Calculate the remainder when p is divided by (-116)\/(-10) + 3856\/(-2410).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -g**3 + 33*g**2 + 71*g - 35. Let a be d(35). Put 3, -9, 4, a in decreasing order.\nAnswer: 4, 3, a, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-6)\/(-9) - 28\/(-21). Suppose -5*z = -4*u + d*u, 0 = -3*z + 2*u. Are z and -2 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 352 is divided by 49.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*i - 7*i + 2*i)*(i - i**2 - i)*(-23*i - 26*i + 56*i) to the form u*i**3 + w*i**4 + b + k*i + f*i**2 and give w.\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 8866, 8858, 8846, 8830, 8810, 8786, 8758?\n\"Answer: -2*b**2 - 2*b + 8870","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qffggqqqqfagf. Give prob of picking 1 f, 1 g, and 1 q.\nAnswer: 30\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = -17 + 7. Let j(c) = -108800*c**3 + 2*c + 10. Let b be j(g). Round b to the nearest 1000000.\nAnswer: 14000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 + (4 - 2) + -5\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -308 - 19976?\nAnswer: -20284","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 293*o + 894. List the prime factors of r(7).\nAnswer: 5, 19, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = a - 5. What is the remainder when l(9) is divided by 8\/3 + 1\/3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 26 = -2. Let b(d) = d**2 + 3*d + 6. Let w be b(0). Let k(t) = -2 - w + 3 - 2 - t. Determine k(i).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*f - d - 6 + 2, 3*f - 2*d - 8 = 0. Suppose -a - a = f. Is 11 a factor of -4 + 6 - (-20 - a)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 87629 to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in thirty-seven fifths of a millennium?\nAnswer: 740","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 413524.4 milligrams in micrograms?\nAnswer: 413524400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) be the third derivative of z**5\/10 - z**3\/6 + z**2. Let v(r) be the first derivative of g(r). Let h(c) = 2*c. What is h(v(x))?\nAnswer: 24*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand x**2 + 2*x**2 - 5*x**2 + 65*x**2 - 288*x**2 + 155*x**2 + (-x + 0*x - x)*(-3*x + 0*x + 5*x).\nAnswer: -74*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*f**4 - 2*f**3 + 514*f**2 - 1 + 2*f**4 - 509*f**2 + 3*f**4 to d*f**3 + k*f**4 + l + c*f**2 + a*f and give c.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -10674 - -21355\/2. What is the nearest to 0 in q, 153, 0.3, 1\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7906?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 123521?\nAnswer: 149, 829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = j - 1. Let p(l) = 1372*l**3 + 8*l - 8. Calculate p(z) - 8*q(z).\nAnswer: 1372*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -5 (b) -1 (c) 120 (d) 1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = z - 5*n - 55422, 2*n - 54226 - 1217 = -z. Is (z\/12)\/(9\/36) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 384894 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: Let h(r) be the third derivative of -1\/12*r**5 - 11\/24*r**4 - r**2 + 0 + 2\/3*r**3 + 0*r. Let z(c) = c. Let g(o) = -h(o) - 3*z(o). Factor g(l).\nAnswer: (l + 2)*(5*l - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -z. Let d be (-11)\/(-4) - (-3)\/12. Let n(f) = 3*f + d*f - 4 + 0 - 5*f. Let u(o) = -o + 3. Let a(l) = -3*n(l) - 4*u(l). Determine g(a(w)).\nAnswer: -w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -8 - -30. Let d be -16*2\/4*(-6)\/16. Suppose 64*f = 62*f - a + 570, 0 = d*f + 3*a - 852. What is the highest common factor of f and m?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -2*j**2 + 31*j - 16. Let q(z) = 1131*z + 1146. Let d be q(-1). Calculate n(d).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/5? (a) -0.1 (b) 3\/2 (c) -4.791116\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 812.951 litres?\nAnswer: 812951","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1337608503125*f**3 - 1337598158625*f**2 + 10344480*f - 20 = 0. Calculate f.\nAnswer: -1, 2\/517225","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 51759093991 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -60*q**3 + 61*q**3 - 25*q**3 + 5 in the form j*q**3 + z + c*q**2 + v*q and give z.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-14))\/(35\/49)*-3?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 962.\nAnswer: 2, 13, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -112.2 or -0.3?\nAnswer: -112.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 42 - 38. Let p be 5 - 1\/(y\/12). Let r(j) = -6 + 6 - p*j. Let m(b) = -2*b. What is r(m(g))?\nAnswer: 4*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (57 - 53 + 44)*(4*z**2 + 16 - 16).\nAnswer: 192*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -161 - -172. Suppose -15*x + 34 = -l. Solve -x*d = 5*i + 22 - 0, 4*d = -16 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + (-7 - (-17 - 5 - -12)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -9.8 - -6.8. Let x = 3.2 + -3. Let n(o) = -2*o + 8. Let j be n(6). Which is the second smallest value? (a) s (b) j (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/13 or -5.178?\nAnswer: -5.178","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3806.3 + -3806.3. Let l = -32 - -28.8. Let j = -3 - l. Which is the closest to j? (a) -1\/9 (b) -0.1 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is z in 42*z**4 + 136*z**3\/5 - 98*z**2\/5 - 16*z\/5 + 8\/5 = 0?\nAnswer: -1, -1\/3, 2\/7, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = r**2 - 2*r + 1. Let y(i) = -2*i**3 - 3*i**2 + 2*i - 4. What is the remainder when y(-3) is divided by m(-2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 463270?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g = -q + 251018 - 251016, 8 = 2*g for q.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 41.9999928 + -42. Round r to five decimal places.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2609, 0.3, 1\/847 in descending order.\nAnswer: 2609, 0.3, 1\/847","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 8\/25 of a gram?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 0.0420783 grams?\nAnswer: 42078.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2018 and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -22.59 + 25.59. What is the third smallest value in -2, -0.66, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -9*m + 106. Let p(t) = -14*t + 157. Give -8*b(v) + 5*p(v).\nAnswer: 2*v - 63","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*h = 2*h + 8. Let w(c) = -h + 2*c + 2 + 13*c**2 + 1 - 2. What is the units digit of w(1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 200288100 to the nearest one hundred thousand.\nAnswer: 200300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 2, o: 8, p: 1, i: 2}. Give prob of picking 1 p and 1 i.\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -323 - -122. Let x = 289 + i. What is the greatest common factor of 8 and x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = t**3 + 4*t**2 + 3*t + 1. Let d be u(-2). Suppose -d*x + 72 = 9. Is 3\/((-18)\/(-10))*x a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1290 and 120?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/(n**3\/n)*n)**25 assuming n is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -942*d**3*f**3 + d**3*f - 2*d**3 + 504*d wrt f.\nAnswer: -2826*d**3*f**2 + d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -4*p**2 - 7*p - 6. Let o(q) = -q**2 - q - 1. Determine n(j) - 5*o(j).\nAnswer: j**2 - 2*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.05, -2, 3\/584, -3\/35?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -20 - -28. Let g be ((-8)\/(-2) - 4) + j. Let u be 8\/3*6\/g. Calculate the highest common divisor of 8 and u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d**(-21))\/d*d*d**(1\/2))**(1\/5) assuming d is positive.\nAnswer: d**(-39\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1463, -5792, -13005, -23102?\nAnswer: -36083","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -201\/1798 - -590197\/1548078. Let h = -2\/123 - v. Suppose 9*p - 10 = 4*p. Which is the second biggest value? (a) p (b) h (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -83069, -83056, -83043?\n\"Answer: 13*d - 83082","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0006075822 to 7 decimal places.\nAnswer: 0.0006076","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x**4\/15 - 26*x**3\/15 + 94*x**2\/15 - 14*x\/3 = 0.\nAnswer: 0, 1, 5, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 6 - (-6)\/(-24)*0. Calculate the highest common divisor of f and 14.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) be the first derivative of 49 - 2*r + r**2 + 1\/4*r**4 + 1\/3*r**3. Calculate p(-3).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-8 + 0)*2\/(-4). Suppose -4*p = 8, 0*k - 126 = -c*k + p. Calculate the remainder when k is divided by 17.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 27*h + 3 = 30*h, 4*s + 4 = -4*h. Solve i + s*i = 5*g + 12, 0 = -2*i - 2*g - 12 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6260*u**2 - 274*u - 3.\nAnswer: 12520","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 3*w**3 - 13*w**3 - 7*w + w - 14. Let q(m) = 31*m**3 + 17*m + 42. Let x(c) = 6*q(c) + 17*y(c). What is the first derivative of x(s) wrt s?\nAnswer: 48*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -295.41 and -1355.3.\nAnswer: 400369.173","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*q - 0*q + 156. Let m = -11 - q. Calculate the remainder when m is divided by 19.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*s + s - s + 255*s**2 + 4*s.\nAnswer: 255*s**2 + 2*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that 2*p**4 - 4051980*p**3 + 2052325843994*p**2 - 8209254752280*p + 8209238544392 = 0.\nAnswer: 2, 1012993","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9025?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1.088 - 1.055104. Let l = g + -0.033. Round l to 5 dps.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -311*a**4 + 6*a - 5 wrt a?\nAnswer: -3732*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -95*z**3 + 3290145 - 3*z**2 - 3290145 + 3*z to the form m*z**3 + b*z + d + h*z**2 and give m.\nAnswer: -95","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = l + 2. Let x(b) = -4. Let q(w) = -6*g(w) - 3*x(w). Let y(z) = 20*z - 1. Calculate y(q(h)).\nAnswer: -120*h - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 14360118?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 429, 1837, 4193, 7503, 11773, 17009, 23217?\nAnswer: 30403","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 46*g**3\/13 - 4345996*g**2\/13 + 102650819390*g\/13 - 17852184968\/13.\nAnswer: 2*(g - 47239)**2*(23*g - 4)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 815470.2 weeks to days.\nAnswer: 5708291.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3221*z = -3988*z + 27612 for z.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fdddggfdgfbddtgh. Give prob of picking 1 d and 1 t.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (16*(-135)\/(-3888))\/((90\/4)\/9)\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -12*l**3 - 2*l - 2. Let n be r(-1). Let d be (-75)\/60 + 2919\/n. Is d at most as big as 243?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((0 - 0) + 10 - 0) + (541 - 537)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -285*w = 109*w + 9456 for w.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4268 + -21338\/5. Is -37 <= y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 310 (base 8) to base 2\nAnswer: 11001000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -2*n + 3*k - 1, -2*n - k + 8 = 0. Let s = -2 + n. Differentiate -1 + s + 1 + 2*i**2 - 3 with respect to i.\nAnswer: 4*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that -98*w**2\/17 + 9116*w - 208560\/17 = 0.\nAnswer: 66\/49, 1580","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4\/(-30) + 17\/15 + 5. Calculate the greatest common factor of 48 and u.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9631 is divided by 39?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 0\/((-3)\/3*-2). Let u(i) = i + 1. Let x be u(1). Suppose x*m - 25 = -3*m. Sort m, 4, d in descending order.\nAnswer: m, 4, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 10 + -4. Suppose 5*z = -r - 18, -r + 0*z + 3*z = -i. Let t = 3 + r. Solve 2*s - 10 = -t*s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.7 in 3\/11, -2, 2\/27, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 10644 = 3*h, 5*h + 21*v = 20*v + 17710. What is the remainder when h is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -5*d + 4*d. Let b be 0\/((-9)\/((-36)\/d)). Let o(h) = -h + 55. Is o(b) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4 + (-1)\/((-1)\/(-7)). Let z(q) = q - 2. Let n(l) be the third derivative of -l**4\/24 + l**3\/3 + l**2. Suppose -4*b = -0 + 8. Determine b*z(v) + g*n(v).\nAnswer: v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 150.26 + -2.26. Let z = 147.849 - x. Let j = -0.061 - z. Sort j, 0.2, 0.\nAnswer: 0, j, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -246 = -f - j, -2*j - 1216 = 5*f - 10*f. Suppose 0 = 5*h + f - 989. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in -0.4, -3, 2\/3, 58\/17?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j**(1\/3)*j*j*j**(-2\/3)*j**(1\/3)\/(j**(4\/11)*j))**(1\/33) assuming j is positive.\nAnswer: j**(6\/121)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 14829.9?\nAnswer: 14829.9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -625 - -622. What is the biggest value in 3\/2, z, -17\/3?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 * -1771\nAnswer: 354.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 326599 = 43*f + 325825 for f.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -987669 at most as big as -987690?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*f**5 - 3*f**5 + 4*f**5 + (-f - 2*f + f)*(-f**4 - 5*f**4 + 3*f**4) - 2*f**5 + 2*f**5 - f**5 + (-f - f - f)*(-1905*f - 97*f**4 + 1905*f) - 1 + 1 - f**5.\nAnswer: 294*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -z**5\/2 - z**4\/2 + 6*z**3 + 8*z**2 - 16*z - 24.\nAnswer: -(z - 3)*(z - 2)*(z + 2)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 126204 is divided by 46.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1573 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 155.82 - 6.82. Let h = 178 + -178.1. Put 0, v, h in increasing order.\nAnswer: h, 0, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*o**3 - 305 - 13*o**3 + 7*o**3 + 305.\nAnswer: 9*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/3, -0.3, -1592, -112, -7 in decreasing order.\nAnswer: 2\/3, -0.3, -7, -112, -1592","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 2372\/924643?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*b**3 + 40*b**3 - 25*b**3.\nAnswer: 20*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1375850 a multiple of 70?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2658422\/547 - 4860. Let p = -51959\/1641 - q. Let f = p - -32. Which is the smallest value? (a) -2 (b) 1\/2 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 149 minutes after 9:48 PM?\nAnswer: 12:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -32639, -64912, -97185?\nAnswer: -129458","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 = 3*w + 9. Let p(j) = 11*j**2 - j - 2. Let x be p(-2). Let z be (x\/(-6))\/(-4 - (-56)\/12). Is z at least w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = z**3 + 18*z**2 - z + 8. Let y be x(-18). Let b = y - -22. Is b a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -344246 and 4.49.\nAnswer: -344241.51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by 18791?\nAnswer: 3\/18791","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vi when two letters picked without replacement from ivobzdb.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -7*f**2 + 178*f + 107. Let g be r(26). Solve -g*p = h + 9 - 10, 4*h - 4 = -2*p for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 1. Let o(r) = -r - 2 - 1 + 8 + 0. Calculate 6*f(x) - o(x).\nAnswer: x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/(-2))\/(-5*9\/90).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 18996 and 48?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5683 - 5679. Solve 0*h - v = -l*h - 10, 4*v = 8 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bgbgqqqbbgq. Give prob of sequence ggg.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 303*x = 259*x - 572 for x.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.0807885 to 3 decimal places.\nAnswer: 2.081","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9 - 61*g - 9)*(3*g**2 + 0*g**2 - 5*g**2) + 4 - 3 + 4*g**3 + 2*g**2 - 6*g**3.\nAnswer: 120*g**3 + 2*g**2 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -28.6931323 to 3 decimal places.\nAnswer: -28.693","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1031 to the power of 1\/6, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6593554 to the nearest integer?\nAnswer: 2568","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -127.88 - -128. Sort 4, 1, v in descending order.\nAnswer: 4, 1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*j - 12481 - 533 = 0. Let v be 6\/(-12)*(1 + -6747). Let d = j + v. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) be the third derivative of 13*h**8\/20160 + h**7\/5040 + 7*h**5\/30 + 69*h**2 - h. Let d(w) be the third derivative of v(w). Find i such that d(i) = 0.\nAnswer: -1\/13, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13267844 divided by 4?\nAnswer: -3316961","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1377*x - 34*x**3 - 696*x - 681*x.\nAnswer: -34*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 725134*o**2. Let h(z) = -752*z**2. What is b(h(v))?\nAnswer: 410066177536*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*w, -5*m + 0*w + 10 = 4*w. Let i(v) = v - 2. Let z be i(m). What is the second derivative of -c + z*c - c**2 + 2*c**2 wrt c?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1645\/26 + -803\/13. Which is the fifth biggest value? (a) i (b) 2\/5 (c) 9 (d) 5 (e) -5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -785*u**2 - 893*u + 2.\nAnswer: -1570","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-1)\/(k**(-1\/5)*k)*(k\/(k*k**(-1)))**(-8))\/((((k\/k**(-1\/4))\/k)\/(k*k*k**(-3)*k))\/((k**(-5)\/k)\/k**(-3))) assuming k is positive.\nAnswer: k**(-261\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -l**5 - 6*l**2 - 2*l**5 - l**5 wrt l?\nAnswer: -240*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-9)\/(-5))\/(2\/10). Let l be -7 + k - (-2)\/1. Solve l*t + 3 = -1 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 921086 to the power of 1\/4, to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 93*b**2 + 186566934*b + 12036576.\nAnswer: 3*(b + 2006096)*(31*b + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -99*g**2 + 166*g**2 + 7485*g - 66*g**2 to o*g + z*g**2 + b and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 75, 34, 1, -1 in descending order.\nAnswer: 75, 34, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-38 - -24) + 46 - 20.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 305*y**2 - 154*y**2 - 153*y**2 - 103.\nAnswer: -2*y**2 - 103","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tku when three letters picked without replacement from {b: 3, g: 2, u: 5, k: 3, t: 3}.\nAnswer: 3\/224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bmmm when four letters picked without replacement from jjbmbbmbgmjsmgjggbgg?\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4828?\nAnswer: 2, 17, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 14407447 a multiple of 1486?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 33894225 is divided by 1355769?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -113 + -1?\nAnswer: -114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*(x**(-1\/4)*x)\/x)**(4\/7)*(x**0\/x*x)\/(x\/((((x**(-1\/8)*x*x)\/x*x)\/x)\/x)))**(-31) assuming x is positive.\nAnswer: x**(1209\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = 56 - 2. Let f = -3 + p. Suppose -2*h - 3*t = -f - 16, -5*t = -2*h + 8. Does 13 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -23 divided by -1?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l + 0 - 24 = 2*p - 4 - 2, 3*l = -2*p - 58 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 4*u**3 + 4*u**2 - 3. Let m(t) = -21*t**3 - 21*t**2 + 16. Give -11*d(g) - 2*m(g).\nAnswer: -2*g**3 - 2*g**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 41748849.\nAnswer: 3, 4638761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5 - 10. Let d(n) = -1. Let i(f) = 18*f**2 - 27*f + 15. Let t(a) = -6*d(a) - i(a). Let c(p) = 9*p**2 - 14*p + 5. Let r(b) = z*c(b) - 3*t(b). Factor r(s).\nAnswer: (s - 1)*(9*s - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4642950536?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/(-5) + (-12)\/(-40). Put 1, -0.4, l in increasing order.\nAnswer: -0.4, l, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 n when three letters picked without replacement from {u: 2, n: 7, z: 1, o: 3, k: 4}?\nAnswer: 7\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -20 + 63. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 42125 is divided by 602.\nAnswer: 587","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4187\/(-318) - (-4 - 0). Is 1 > s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a = 3*k - 95, a - k = -0*k + 11. Let d(v) = -7 + 3*v**2 + a*v - 24*v - 2*v**2. What is d(8)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -725291102 take away -6?\nAnswer: -725291096","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 851 divide 165620040?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 50 a factor of ((-1825)\/146)\/((-1)\/80)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n + 7 = 5*t - 3, 5*n + 3*t = 6 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/56576028 at least as big as -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -1172cd (base 14) in base 2?\nAnswer: -10010001100000110101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -463 divided by -6.\nAnswer: 463\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 81038 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1483001?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -29 or -69712\/2375?\nAnswer: -69712\/2375","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + r + 28 = 0, 4*r = -0 - 12. Let n = x - -11. Let z be 6*-3*(-1)\/n. Let m(w) = 2*w - 4. Give m(z).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1.31 - 1.3. Let s = y - 0.0259. Round s to three dps.\nAnswer: -0.016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6244049521 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -177364, -1418817, -4788392, -11350123, -22168044, -38306189?\nAnswer: -60828592","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2 - 220102020?\nAnswer: -220102011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 187 divide 227766?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:37 PM and 10:24 PM?\nAnswer: 587","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -k - 4. Let q(o) = -2*o - 5. Let z = -695 + 700. Give z*a(u) - 4*q(u).\nAnswer: 3*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 9057 - 9008. What is the remainder when o is divided by 12?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = b - 11. Let s be k(9). Let c(z) = 44*z**2 + 5*z + 3. Is c(s) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 374 and 143?\nAnswer: 4862","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 686327.\nAnswer: 83, 8269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -259 + 8*j + 259.\nAnswer: 8*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*sqrt(4)\/sqrt(2)*-3.\nAnswer: -18*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3.062 - -0.038. Let o = w - 0.1. What is the nearest to o in -0.2, 1\/4, -1?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -21 + 22. Let b(u) = 1 + o + 60*u - 63*u. Calculate b(-6).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*o + 20 = -5*o. Let x = -9 + o. What is the highest common factor of 33 and x?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of (1149 - (-7 - -11))\/1?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-8)\/x)\/(x*x*(x*x**39)\/x) assuming x is positive.\nAnswer: x**(-50)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 - ((-9 - -10) + -2).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20574945989*f**2 - 20574945989*f**2 + 339*f**3.\nAnswer: 339*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.04? (a) -0.2 (b) 2 (c) -0.3 (d) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 83*v + 439. Let c be q(-5). Solve 0 = -0*w - w - 4*p + c, -2*w = -p - 3 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 27 and 27.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.4293*3.\nAnswer: -1.2879","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -7323*k**2*u**3 + k**2*u**2 + 10294*k**2*u + 2 wrt u?\nAnswer: -43938*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - m - 48 = 0, 3*m - m = -4*n + 222. Is n a multiple of 39?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 21*d. Let u(p) be the second derivative of p**6\/360 + 49*p**4\/12 + 17*p + 1. Let j(b) be the third derivative of u(b). Calculate j(c(l)).\nAnswer: 42*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*n**2\/4 + 124596495*n\/2 - 5174762188761675\/4.\nAnswer: -3*(n - 41532165)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.173 and -56?\nAnswer: 9.688","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) be the second derivative of x**4\/12 + 19*x**3\/6 + 17*x**2 - 17*x. Let u be l(-17). Suppose 8*w - 9752 = -u*w. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*t - 1 = -10*t. Let p(i) be the first derivative of -3*i**2\/2 - 2*i + 7. Let q(l) = -l. Let v(j) = t*p(j) - 4*q(j). Differentiate v(c) wrt c.\nAnswer: 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2, 4\/3, -453, 2\/5, 0.06?\nAnswer: -453","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 18 = -u, -4*u - 9 = 2*m - 27. Suppose u - 19 = -4*y. Solve y*l = -3 - 1 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(-3)*0 - (-3 + 2310\/798)\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -358 + 234. Let s(k) = 11*k**3 + 3*k + 3. Let f be s(3). Let u = b + f. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) be the first derivative of h**7\/1260 + h**6\/54 + 17*h**5\/180 + 2*h**4\/9 + 7*h**3 + 6. Let n(q) be the third derivative of c(q). Factor n(k).\nAnswer: 2*(k + 1)**2*(k + 8)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 60579, 60575, 60569, 60561, 60551, 60539, 60525?\n\"Answer: -v**2 - v + 60581","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 268266\/55 or 4877?\nAnswer: 4877","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 172 = 4*h, -2*j - 60 - 30 = -2*h. What is the least common multiple of 96 and h?\nAnswer: 1056","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -35020708 and -2199.1.\nAnswer: -35022907.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 2161 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 17 in -1\/7, 3\/11, 0.08?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 8 and 124?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -17*h**4 - 2*h**2 + 477*h wrt h.\nAnswer: -204*h**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/o**1*o)**32)**36\/(o**(-1\/9)*o\/o**(1\/2))**(19\/3) assuming o is positive.\nAnswer: o**(62075\/54)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 16.2689 to the nearest integer.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-42)\/28)\/((-36)\/8)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 10833095?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence inyn when four letters picked without replacement from tnnyiytttqtntni.\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -407.54 - -692.75. Let l = 5.79 + t. Let v = -291.0000263 + l. Round v to six decimal places.\nAnswer: -0.000026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -243 + -381. Let g = 1873\/3 + i. Which is the fourth biggest value? (a) 3 (b) g (c) 3\/5 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24282 a multiple of 213?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11010000100110111 (base 2) to base 3.\nAnswer: -12102111211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0*134548.719\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -113*m - 17*m + 650 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - (-3 + -13)) + -10.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-21)\/35)\/(2\/(-10)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -1\/3 (b) -32 (c) 8 (d) -2\/9 (e) 3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 3*j - 2874 = 0, -5*y + 2*y - j + 2878 = 0. Let r be ((-8)\/6)\/(y\/(-477) + 2). Suppose -7*s + 5*s + r = 0. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = l - 1 + 4*l + 7*l - 4*l. Let i be x(5). Let g = 60 - i. Is g a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -c**3 - 25*c**2 + 56*c + 51. Let l be j(-27). Sort 5, 4, -1, l in increasing order.\nAnswer: l, -1, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y when two letters picked without replacement from {a: 4, y: 14}.\nAnswer: 91\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 285ba - 7b?\nAnswer: 2853c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i - 5*d + 346 = -34, 3*d - 384 = -5*i. Suppose 0 = 20*c - 19*c + i. Let w = -37 - c. What is the tens digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -17*y**3 + 81*y**2 - 451*y + 731. Let d(n) = -3*n**3 - n**2 + n - 1. Suppose -22*v - 54 = -32. Let l(f) = v*s(f) + 4*d(f). Factor l(a).\nAnswer: 5*(a - 7)**2*(a - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -631994, -2530130, -5693684, -10122650, -15817022, -22776794?\nAnswer: -31001960","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 14 + -15 + (-5 - -4)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.027 + 25.027. Let j = 81 - n. Let q = 55.67 - j. Round q to one decimal place.\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 47844 a multiple of 54?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 93*l + 5458. What is f(-60)?\nAnswer: -122","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 28\/13 - 278\/117. Let z(j) = 6*j**2 + 92*j + 17. Let k be z(-14). Let v = 90 + k. Which is the second biggest value? (a) v (b) q (c) -1\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 0*t + 112 = -2*n, -2*t = -2*n - 56. Let y be 4\/14 - (-101856)\/t. Suppose 3*c - y = 7462. What is c rounded to the nearest one thousand?\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -35 - -149. Let r = 1211\/10 - t. What is the common denominator of -30\/11 and r?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -5*d + 10. Let o be s(5). Let p be ((-4)\/10)\/((-3)\/o). Is p equal to 8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 1922, 1970, 2016, 2060?\n\"Answer: -a**2 + 51*a + 1872","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c**(-1\/2))\/(c\/(c\/(c*c**0*c))))**(-2\/13)*((c*c**(2\/7))\/c)**46*(c*c\/(c\/c**(2\/15)))\/c*c*c**(2\/13)*c assuming c is positive.\nAnswer: c**(21377\/1365)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-515 + 16 - 1460)*(0*z**3 - z**3 + 3*z**3) + (0*z - 4*z + 3*z)*(3*z**2 - z**2 + 0*z**2) to w*z**3 + p*z + m + x*z**2 and give w.\nAnswer: -3920","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(133)*-1*4)\/(2*sqrt(28)) + (-5*sqrt(171)*1)**2*1.\nAnswer: -sqrt(19) + 4275","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.6 + 6.4. Let u = p - -4. Let t = -11 + u. Is t smaller than 15?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 27*o**2 + 4*o - 29. Let b be h(-10). Let c(r) = -r - 5. Let u be c(-9). Suppose 7*k - u*k = b. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9 + (-2 - -14) - (-2 - -1)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 4*q = 21, 4*q + 22 + 17 = -3*g. Let t = g - -18. What is the remainder when 15 is divided by t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (21*d - 16*d + 10*d)*(4*d**2 + 3*d**2 - 6*d**2) + 2*d**3 - 2*d**3 + 2*d**3.\nAnswer: 17*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that -5*q**2 - 20021705*q + 180195750 = 0.\nAnswer: -4004350, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*p + 4*p + 10 = 0. What is the third derivative of -3*w**2 + p*w**2 + 0*w**2 + 7*w**6 wrt w?\nAnswer: 840*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, 94, 1, -0.4 in descending order.\nAnswer: 94, 1, -0.3, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 14*h**5 + 35054*h**4 + h**3 - 4*h**2 + 16341549*h wrt h?\nAnswer: 840*h**2 + 841296*h + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 2 = 3*a - a, -3*t - 5*a + 13 = 0. What is the remainder when 2 is divided by t?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -11733, -11724, -11715, -11706, -11697?\n\"Answer: 9*m - 11742","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3\/7, -1, -2\/3, -1\/2, -477?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -13 - -3. Let n(r) = r**3 - 29*r**2 + 51*r + 83. Let b be n(27). Is 11 a factor of ((-204)\/20)\/(b\/i)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p**2\/2 - 29*p\/2 + 15 = 0.\nAnswer: -30, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) be the first derivative of 919*s**5 - s**3\/3 - 2*s**2 + 17*s + 1440. Find the third derivative of z(c) wrt c.\nAnswer: 110280*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -6678, -6679, -6680?\n\"Answer: -l - 6677","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -0.3 (b) 8 (c) -52751\/2 (d) 0.4 (e) 10 (f) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -5, -248.9, 728\/33?\nAnswer: 728\/33","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11110000101 + 110?\nAnswer: 11110001011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = p**2 - 23*p + 116. Let a be i(17). Put -1, a, -49 in decreasing order.\nAnswer: a, -1, -49","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 n when two letters picked without replacement from {n: 1, c: 1, s: 2, f: 1, o: 1, x: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 57*l - 216 = 3*l. Suppose x = 4*f - 995, f - 502 = -f - l*x. Suppose 0*r + 2*r = 100. Calculate the remainder when f is divided by r.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3\/(-2)*32\/48. Let f be (-1)\/(m + 0)*1. Find the common denominator of -27\/10 and -1 + f - (-1 - (-90)\/(-28)).\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -40146*p**2 + 40146*p**2 - 16*p**3.\nAnswer: -16*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o = -322*z + 318*z - 18, 0 = 3*z + 15 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) be the third derivative of 0 + 0*c**7 + 0*c**6 - 11*c**2 + 0*c**5 + 1\/84*c**8 + 1\/6*c**4 + 0*c + 0*c**3. What is the second derivative of k(i) wrt i?\nAnswer: 80*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*s + 0*s + 2*s**4 + (4*s - 4*s - s)*(3*s**3 - 5*s**3 + 3*s**3) - 2*s**4 - 3*s**4 + 3*s**4 + (s**2 + 0*s**2 + 0*s**2)*(-30*s**2 - 887 + 887).\nAnswer: -31*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.1 (b) 3 (c) 13 (d) -23\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (29 - -20) + 31 + -9?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 51 divided by 3?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 26 divided by 228862.\nAnswer: 13\/114431","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 48 - 33 = 0. What is the remainder when 105 is divided by a?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 278 = 398. Does 3 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 333.\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand 9*y + 5*y - 15*y - 8*y**4 + 3*y**4 - 3*y**4 - y**4 + (0*y + 0*y + 2*y**3)*(-y - 2*y + 2*y).\nAnswer: -11*y**4 - y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*c**5 - 17*c**3 + 30*c**2 + 11111*c + 1 wrt c.\nAnswer: -40*c**3 - 102*c + 60","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1214765?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -59\/1589160 and -97\/55760?\nAnswer: 3178320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(3\/5)*u**0)\/((u\/(u*u**(-1)))\/u)**(-30)*u\/u**0*u*u**(-2)*u*u*(u*u*u**(2\/7))\/((u**(-1)*u)\/u) assuming u is positive.\nAnswer: u**(206\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 7128790187 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 24659 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 - 3 = -4*l. Suppose -16 = -l*v + 4*a, 0*a + a + 4 = -5*v. Suppose -o + v*o + 282 = 5*n, 5*n - 276 = -3*o. What is the tens digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1242386.4 to the nearest 100.\nAnswer: -1242400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*g + 13*g - 27*g**3 + 14*g**3 + 10*g**3.\nAnswer: -3*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = 4*v + 77. Let q = v - -110. Suppose 2*k + 3*x - 9 = -0*x, -3*k + 30 = -x. Calculate the greatest common divisor of q and k.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8.70301 rounded to 0 dps?\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3\/25673 or 0.1?\nAnswer: 3\/25673","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ookko. What is prob of picking 3 o?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 2\/7, 9\/10, 3, -2\/23, 1\/11?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 260 minutes before 2:02 PM?\nAnswer: 9:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1995)\/1064)\/5 - 6\/(-16).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = d**2 + 88*d + 1547. Calculate a(-24).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 45 + -5?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/((12\/14*-4*161\/92)\/(-38))?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 20118 smaller than 20118?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 5*g + 23. Give w(5).\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*n - 163 + 72 = 0 for n.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8031471km in micrometers?\nAnswer: 803147100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (4565\/(-5478))\/(165\/(-54))\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -641, -637, -631, -623, -613, -601?\nAnswer: -587","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 6*s**3 - 5*s**2 + 5*s - 2. Let y(i) = -7*i**3 + 3*i**2 - 4*i + 3. Give 2*h(u) + 3*y(u).\nAnswer: -9*u**3 - u**2 - 2*u + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4*(-4)\/(-80)*(5 - 0). What is the nearest to q in 2, -1, 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 247091350 rounded to the nearest one million?\nAnswer: 247000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -1.4 * 1180\nAnswer: -1652","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 994 is divided by 141.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1128 + -999. Does 3 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1\/(-42))\/((-31)\/(186\/9)*72\/162)\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -v**2 + 4*v + 4. Let u be h(6). Let z = -4 - u. Let b = 247 - 238. Calculate the remainder when b is divided by z.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.083 + -0.083. What is the smallest value in 2, -2\/21, c?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2.18 - -0.52. What is the third biggest value in -0.4, 0.4, q?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(-8\/3)\/(b*b\/(b*b*b\/b**14*b))*b**32*b*b*b**(-20) assuming b is positive.\nAnswer: b**(-2\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5*o**3 - 10*o**2 - 2*o + 18983 with respect to o.\nAnswer: 15*o**2 - 20*o - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -4*h**2 + 3. Let d(b) be the first derivative of -3*b**2\/2 - 22*b - 1663. Give n(d(u)).\nAnswer: -36*u**2 - 528*u - 1933","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 14316 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: Let q = -3633\/8 + 454. Let p = 18 + -50\/3. What is the biggest value in -4, p, q?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 22315, 14900, 2545, -14750, -36985, -64160?\n\"Answer: -2470*g**2 - 5*g + 24790","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bhyhhihhhhhhiyyyihi. Give prob of picking 1 h and 2 y.\nAnswer: 20\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 11 + -10.6. Let r = 1.926 - -0.074. What is the second smallest value in -3\/8, r, g, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 225.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000796998094 rounded to 5 decimal places?\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((-1*sqrt(1224) - sqrt(1224))*-6 + sqrt(1224))*2)\/(6*(-3*(sqrt(98)*2 + sqrt(98)) + sqrt(98))))**2.\nAnswer: 2873\/784","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) be the first derivative of v**3\/3 + 31*v**2\/2 + 148*v + 114. What is the first derivative of w(d) wrt d?\nAnswer: 2*d + 31","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.679548 days to seconds.\nAnswer: 58712.9472","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 84797463 or 84797462?\nAnswer: 84797462","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10 - 10020?\nAnswer: -10010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.28 in 2\/11, -0.3, -1, 1\/6?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l*l\/(l\/(l*l\/(l\/(l**(-10)\/l))))*l**(3\/8)*(l**0)**(-26) assuming l is positive.\nAnswer: l**(-69\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 32749288.\nAnswer: 2, 11, 13, 28627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*z**6 - 109*z**5 - 15534*z**3 + 26*z**2 - 84474?\nAnswer: -240*z**3 - 6540*z**2 - 93204","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -3*l - 1. Let t(p) = 7*p + 2. Let m(f) = -2*f**2 - 2*f + 2. Let z be m(-3). Determine z*d(o) - 4*t(o).\nAnswer: 2*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.004667 rounded to 4 decimal places?\nAnswer: 0.0047","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4 - 3. Let f = -9.7 + 21.7. Is f smaller than p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 6, s: 2}. What is prob of picking 2 s?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 102431 - 4213?\nAnswer: 43213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 14\/3 in -43.8, 4\/3, 5, -17?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5236?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 (base 2) in base 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 4 = -0*y. Let r(v) be the first derivative of 3 - 3 + 2*v + v**3 + y. Differentiate r(a) with respect to a.\nAnswer: 6*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 642?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1c6 - 28?\nAnswer: -221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in three tenths of a century?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 1, k: 2, l: 1, v: 1, y: 1, u: 1}. Give prob of picking 1 l, 1 k, and 1 y.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by -3961?\nAnswer: -3\/3961","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -k**2 + 14*k - 47. Give c(6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -49, -2\/7, 8\/5, 1\/10?\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 21 and 14693?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -10*i + 5*i - 6 - 3*i**2 + 4*i**2. Suppose 17 = 5*p - 2*r, 2*p - 3*r = r - 6. Let t be d(p). Let y(j) = -j**2 - 6*j. Determine y(t).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iyyvooyyy. What is prob of sequence oyvo?\nAnswer: 5\/1512","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d*d**(-3\/4))\/d**(-2\/5))**(6\/7))**(5\/13) assuming d is positive.\nAnswer: d**(3\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bbqzzbqbqqbqq. Give prob of picking 2 q and 1 b.\nAnswer: 75\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -5417, -5387, -5339, -5273, -5189?\n\"Answer: 9*y**2 + 3*y - 5429","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = 4*j - 3*x + 33, 3*j + 16 = -5*x. Let z(q) = -q + 5. Let h be z(j). Solve 5*y - 8 = h for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 24881 (base 10) to base 5.\nAnswer: 1244011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -11677729*g**2 - g + 322635?\nAnswer: -23355458*g - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 447, 4, -2, -6 in increasing order.\nAnswer: -6, -2, 1, 4, 447","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-50 - (-1 - (-4 - -9))) + -222 + 221.\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:31 AM and 8:46 PM?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, g: 3, h: 4, s: 5, r: 5}. What is prob of sequence xs?\nAnswer: 5\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 633?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 802178?\nAnswer: 2, 13, 30853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -81\/264520 and 55\/1962116.\nAnswer: 333559720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -5, 0, -4, 20.7?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1415)\/3679 + (-530)\/(-26)?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100101110000 - -1001?\nAnswer: 100101111001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 + -1 + (-25 - -14 - -10).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 383178?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4 + -1. Let v be 1\/j - (-42)\/9. Suppose w - v*u = 13, 4*u + 15 = -1. Round w to zero decimal places.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5 + 13*u**4 - 5 + (-2*u**2 + 2*u**2 - 2*u**2)*(6*u**2 - 3*u**2 - u**2).\nAnswer: 9*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0 + -18. Let h be (-2)\/6 + 12\/c. Let g = h + 3. Solve -5*r - g = -3*r for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10 + 4 - -5) + (5 - -1).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dddugadddddag. What is prob of picking 2 g, 1 a, and 1 d?\nAnswer: 16\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*m**3 + 4*m**3 - 20*m**4 + 22*m**4 + (3*m - 4*m + 2*m)*(-3*m**3 + m**3 + 6*m**3) to w*m**4 + b*m + d*m**2 + y*m**3 + s and give y.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z*z**(1\/4))*z*z**(-6)\/z*z)\/(z**(6\/7)*z\/(z*z\/((z**(-2\/3)\/z)\/z)))*((z\/(z**(-2\/3)*z*z))\/(z**(2\/19)*z))**(21\/4) assuming z is positive.\nAnswer: z**(-15949\/1596)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 8c01 (base 16) to base 3\nAnswer: 1211011110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the third derivative of c**5\/15 - c**4\/2 - 20*c**3\/3 - 912*c**2. Factor f(g).\nAnswer: 4*(g - 5)*(g + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 4*z, 0*z = 3*y + 5*z. Suppose -4*v - 3 = -5*a, -y*v - 9 = -2*v + 3*a. Find the common denominator of (v\/48 - 0)\/(3\/(-114)) and 89\/12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1289 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 105 divide 241537407?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 11.5*-96018\nAnswer: -1104207","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 7*t**2 - 462*t - 7862. What is z(-15)?\nAnswer: 643","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24 is divided by 21.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1 + -1. Suppose -4*o + 4 = -v*o. Let n = o + 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 39 minutes before 5:40 AM?\nAnswer: 5:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 268, 536, 804, 1072, 1340, 1608?\nAnswer: 1876","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 11*n**5 + 1104255*n**4 - 124729906*n wrt n.\nAnswer: 220*n**3 + 13251060*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -446 - 358 + 564 = -16*o for o.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 9436511971 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 + 25 = 4*i. Suppose 3 = -i*h + 17. Suppose z - 2032 = h*p, -4*z = 3*p - z + 3030. What is p rounded to the nearest one hundred?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -143 divided by -3\nAnswer: 143\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1404\/15*(-1)\/(-1)*5?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -210640, -210639, -210638, -210637, -210636?\nAnswer: -210635","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 4*m**2 + 6 + 4 - 5*m**2 - 2 + 6*m. Let g = -6 - -5. Let n = g - -8. What is p(n)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1150 - 518. Let a = -632 + m. Solve a + 1\/4*o**2 + 1\/4*o = 0 for o.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -u**3 + 4*u**2 + u - 2. Let y be m(3). Suppose -4*k + 278 = 3*t, -11*k = -3*t - 6*k + 260. Calculate the greatest common divisor of y and t.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -45 - -32 - 2\/(-1). Suppose 5*d + o - 21 = -80, 0 = -2*d - 2*o - 30. Are n and d non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*t**2 + 0*t**2 + 2071*t + 2*t**2 + 1514*t + 2984*t.\nAnswer: 2*t**2 + 6569*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -3588239*q**2*t - 22892375*q**2 wrt t?\nAnswer: -3588239*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 78 = 4*v, v + 21 = 2*v + 2*i. Is 3 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1290 divided by -80?\nAnswer: 129\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -522, -1040, -1560, -2082, -2606, -3132?\n\"Answer: -h**2 - 515*h - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -44 - -24 - (-1 - 12) - 5 - -37.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -471 - 785a?\nAnswer: -7ccb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 2, h: 5}. Give prob of picking 2 h and 1 v.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 15101?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 2*o + 5. Let t be u(6). Suppose -4 = 2*l + l - 2*x, -4*l = -5*x + t. Which is the closest to -0.1? (a) l (b) 0 (c) 3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*(p*p\/p**(4\/13))\/p*p*p**(-29)\/p)\/((p*(p*p\/(p\/(p*p**(-4)))*p)\/p)\/p*p)**(-10) assuming p is positive.\nAnswer: p**(-485\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16 + (-2 - -1)*9.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 5 - -371?\nAnswer: 376","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 19*m - 54. Let d be j(3). Let p(h) be the first derivative of -1\/12*h**6 + 0*h**d + 1\/16*h**4 - 3 - 1\/20*h**5 + 0*h + 0*h**2. Factor p(n).\nAnswer: -n**3*(n + 1)*(2*n - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/(-1)*1\/(-2). Suppose -3*v = 2*s - 3*s, 5*s + 38 = -4*v. What is the second biggest value in s, p, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*w**4\/2 - 130935*w**3\/2 + 1428860901*w**2\/2 - 4285404369*w\/2.\nAnswer: 3*w*(w - 21821)**2*(w - 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-14 - -20) + (-2 + 3)*-3.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1631551 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 147.1 - 152.1. Let m(u) = -u + 1. Let s be m(3). What is the fourth smallest value in l, 6, s, 0.5?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 120 = 3*y - i, 3*y - 40 = 5*i + 80. Suppose -3*x + x - l + y = 0, -44 = -2*x - 2*l. Calculate the least common multiple of 2 and x.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13103 (base 4) to base 2.\nAnswer: 111010011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by -627908?\nAnswer: 3\/627908","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s, 1 n, and 1 f when three letters picked without replacement from fjnffjfsfj.\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -151\/48 and -63\/88.\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 2325674?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.186 * 666.\nAnswer: 123.876","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) be the third derivative of t**7\/2520 + 31*t**5\/60 + 11*t**2. Let n(u) be the third derivative of w(u). Let l(y) = 34*y**2. Determine n(l(d)).\nAnswer: 68*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -24.29 + 25.29. What is the nearest to o in -1, 0.2, -1\/3, -5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1435594 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = r + 3, 53*c - 56*c = -r - 4695. What is the smallest common multiple of 272 and c?\nAnswer: 6256","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44*s = -50*s - 18. Let o(v) = -12*v**3 - 2*v**2 - 4*v - 12. What is the hundreds digit of o(s)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 5*f = 2*o - 29, o + 4*f - 19 = 0. Suppose -2*v - t = -0*t - 2013, -5*v - o*t = -5032. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 35123.4748 - 35102. Let m = -21.5 + k. Round m to 3 dps.\nAnswer: -0.025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 16, 34, 52, 70, 88?\nAnswer: 106","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 26*j**2 - 14*j + 10. Let n be a(2). What is the greatest common factor of 1548 and n?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = j**2 + 7*j - 6. Let v be m(-8). Suppose 0 = -51*p + 50*p + v. Find the third derivative of 4*k**6 + 12*k**2 - 3*k**2 + 22*k**p wrt k.\nAnswer: 480*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2\/26825 or 0?\nAnswer: 2\/26825","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*b**2 + 0 - 2*b**3 - 1 + 1 to y + m*b + k*b**2 + d*b**3 and give k.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.97 + 0.03. Let a = -17\/2 - -55\/6. Let o = 0 - 5. What is the closest to n in a, o, 2?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -100112 (base 4) to base 11.\nAnswer: -871","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 4, c: 4, v: 2}. Give prob of picking 2 v and 1 s.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22886 is divided by 432?\nAnswer: 422","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -7*r + 6. Let w be i(5). Let d be (-3)\/12 + w\/(-4). Let n = -928 - -942. Calculate the greatest common divisor of d and n.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 217.3 to the nearest integer.\nAnswer: 217","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -86 + (-5 - -70) + -1 + 63.\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*r - 2*r - r)*(r + 4*r - r) + 2*r + 3*r**2 - 2*r to u + w*r + f*r**2 and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 68 is divided by 2\/6 - (-848)\/48?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 685977314 to the nearest 100000.\nAnswer: 686000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*a - 258428000 = -84*a. What is a rounded to the nearest 10000?\nAnswer: 2440000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -3*h + 5*i, 0*h - 2*h + i = 3. Differentiate -131*x + h + 127*x + 3 with respect to x.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -4*i - 12. Let o be f(-3). Let j be 6 - ((4 - 1) + o). What are the prime factors of 1*(-3)\/j + 33 + 0?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 586 minutes after 12:51 PM?\nAnswer: 10:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -61 + 75. Let v(n) = -12 - n**3 + o - 6*n**2 - 3*n - n**2 + 6. Does 16 divide v(-8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -10*x**2 - 101*x + 2*x - 10*x**2 + 99*x. Let d(j) = 13*j**2 + 2*j. Calculate d(w(r)).\nAnswer: 5200*r**4 - 40*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 400545624?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0\/((4\/(-6))\/(5\/(-15)))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1560*k**3 + 780*k**3 + 773*k**3.\nAnswer: -7*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 107 - 59. Let b be (0 - 2*1\/(-10))*335. Suppose -164 = -2*u - 4*l, u - 3*l = -2*l + b. Calculate the greatest common factor of u and c.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -cc5 + -5?\nAnswer: -cca","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21244866 divided by 4.\nAnswer: -10622433\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19 - 13 - 13 = -3*j for j.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -2*m**3 + 12*m**2 - 9*m + 5. Let l(j) = j**3 - 6*j**2 + 4*j - 2. Let x(v) = -7*l(v) - 3*n(v). What is the units digit of x(4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -u*x**2 + 79738*u + x**2 - 28884*x + 2 wrt x.\nAnswer: -2*u*x + 2*x - 28884","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x**(-11)\/x)\/x)\/((x\/(x*x\/((x*x*x**(-2\/81))\/x)))\/x))\/((x\/x**(-3\/2))\/(x\/(x**(18\/7)*x))) assuming x is positive.\nAnswer: x**(-19331\/1134)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1405028 or -3\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2427221?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z**2\/2 - 45*z = 0. What is z?\nAnswer: -90, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of (2763 + -1)*(-14)\/28*-1?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2285862433.9999621 - -2285862079. Let w = b - -355. What is w rounded to 5 decimal places?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -399992, -399989, -399986, -399983, -399980, -399977?\n\"Answer: 3*q - 399995","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 2*b + 31. Let k be t(-17). Let z(g) = g**3 + 9*g**2 + 8*g + 7. Let u be z(-8). Let m = k + u. What is the remainder when 6 is divided by m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5*v**5 - 2*v**3 - 94*v**2*z + 189*v + 23*z wrt v.\nAnswer: 100*v**3 - 12*v - 188*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -2, -0.1, 6927?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 15*(2040\/(-90) - -22) - -107*(3 - 2)\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 754*v - 19637 = 4491 for v.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kgnkkkkkknkgnkknkkn. What is prob of picking 1 g and 1 n?\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -86 divided by -86.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 44882.\nAnswer: 2, 22441","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -22, 0.7, 1\/2, -3 in ascending order.\nAnswer: -22, -3, 1\/2, 0.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 31981 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: Find the common denominator of 35\/3996 and -115\/7506.\nAnswer: 555444","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r - 36 = 3*c, -12830*c = -3*r - 12835*c - 64 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(30)\/(sqrt(6) + (sqrt(6) - sqrt(1470)\/sqrt(5))) + (sqrt(180) - (sqrt(180) + (sqrt(180) + -2 - sqrt(180))*-2))**2.\nAnswer: -sqrt(5)\/5 + 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 211221111 - -11011120?\nAnswer: 1000010001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -k**3 - k + 1. Let s(v) = -270*v**3 + 45*v - 45. What is -90*d(w) - 2*s(w)?\nAnswer: 630*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -1 + 3 + 2 - 0\/8. Solve 4 = j*p - 0*p for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = h**2 + 17*h + 20. Let m be c(-16). What is the second derivative of -4*i**4 - i**4 - 4*i**m + i**4 + 6*i wrt i?\nAnswer: -96*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 7*t - 1. Let s(a) = -6*a + 1. Calculate 4*m(l) + 5*s(l).\nAnswer: -2*l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 5*y + 60 = 0, 3*l - 30 = 2*l - 5*y. Suppose l*q - 2484 = 3*q. What is the tens digit of q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -l. Let o be f(0). What is the first derivative of o - 7 + 1 + 4*y**4 wrt y?\nAnswer: 16*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -261 + 291. Calculate the lowest common multiple of 12 and z.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 21506?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1002 - -813. Sort -3, d, -2.\nAnswer: d, -3, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 81*k = -157*k - 114*k - 3520 for k.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2539*y = 19716 + 16393 + 24827 for y.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -195*t + 4. Let u(x) = 106664*x - 2189. Determine 4*u(y) + 2189*z(y).\nAnswer: -199*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -q**2 - 20*q - 14. Give d(-20).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 871143.03s in hours?\nAnswer: 241.984175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -5*q + 51. Calculate j(7).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -g**2 - 4*g. What is i(-5)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*b - b = -176. Let a be (b\/(-12))\/(-2 - 40\/(-18)). What is the least common multiple of 14 and -9*2*a\/(-9)?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1405 - 1404 - 18*g**2 + 15*g**2.\nAnswer: -3*g**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 443 + -438. Put 4, -5, w, 3 in decreasing order.\nAnswer: w, 4, 3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n when two letters picked without replacement from {o: 1, n: 2, k: 5, j: 8}.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 983852 is divided by 327728.\nAnswer: 668","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(484))\/sqrt(11) + -4*sqrt(176))\/(-2*(sqrt(576) + -5*(-4*sqrt(576) - sqrt(576)) - sqrt(576) - sqrt(576))).\nAnswer: 7*sqrt(11)\/576","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11779*r - 18927 = -11782*r. List the prime factors of r.\nAnswer: 3, 701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19 = a - 21 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6730 + 7091. Solve 343 = 3*k + j for k.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1494 + -2?\nAnswer: 1492","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -485*l + 250*l + 250*l - 585 = 0 for l.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 316.\nAnswer: 2, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -42 + 41. Is r >= -26\/19?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = -5*m + i + 30, 2*m + 3*i + 3 = 0. Suppose 3*y = z - 0*z - 1, -2*z = -m*y + 1. Let h = y + 10. Calculate the remainder when h is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 57 + -54. Solve -2*n = 5*y - x*y - 14, n - 10 = -2*y for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 696233.8kg to nanograms.\nAnswer: 696233800000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = -8*t - 4 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 119\/105648 and -89\/8?\nAnswer: 105648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -30111 (base 4) in base 6?\nAnswer: -3353","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -794*i + 14915. What is the ten thousands digit of d(0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:48 PM and 7:31 AM?\nAnswer: 643","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w + r - 11 = 0, -41*w = -39*w + 2*r - 14 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 12*j**3 + 63*j**2 + 30*j + 100. Determine k(-6).\nAnswer: -404","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 13 - -c767d?\nAnswer: c7692","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 6, p: 3, e: 3, t: 5}. Give prob of picking 1 p and 3 s.\nAnswer: 3\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = a**2 + 5*a + 6. Let q be k(-4). Solve -3*o - 3 = -5*y, -q = -3*o - 4*y - 5 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1001 - 1111111010?\nAnswer: -10000000011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 120 - v**2 - 120. Let r(q) = -40*q**2. Calculate r(c(m)).\nAnswer: -40*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5? (a) 2\/11 (b) -3 (c) -3\/5 (d) -8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 plus -12712.094924?\nAnswer: -12711.894924","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) be the first derivative of 1\/2*u**4 + 1\/3*u**3 - 5\/2*u**2 - 2 + 5*u. Let r(t) = -t**3 - t**2 + 3*t - 3. What is -3*q(p) - 5*r(p)?\nAnswer: -p**3 + 2*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 72\/(-51)*66\/8. Let r = 5348753\/81090 - 21788\/265. Let m = r - t. Find the common denominator of m and -137\/6.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 282677 to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:33 PM and 4:52 AM?\nAnswer: 439","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c*c\/c**(-1\/4))\/c*c*((c**4*c)\/c)\/c*c)**(3\/22))**(-11) assuming c is positive.\nAnswer: c**(-75\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ppu when three letters picked without replacement from puudupppppppud?\nAnswer: 4\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 32132028 a multiple of 125?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -13 + 27. What are the prime factors of o?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -t**3 + 7*t**2 - 4. Let g be u(7). Let j be 1 + (10 - g) + 3. Suppose -3*f + f + j = 0. What are the prime factors of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) be the third derivative of o**4\/24 - 2*o**2. Let r be v(1). Let x(w) = w**3 - 3*w**2 - 6*w + 5. Let s be x(4). Sort r, -2, s.\nAnswer: s, -2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 126 - 1 = 5*v, y - 21 = v. List the prime factors of y.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4433 is divided by 445?\nAnswer: 428","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -r**2 - 8*r - 6. Calculate m(-9).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = 5*t + 2. Suppose -t*i = -i - 18. Suppose -2*o - i + 3 = 3*v, o - 19 = 4*v. What is the units digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 z when two letters picked without replacement from {f: 2, z: 2}.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -47\/4? (a) -2 (b) 2 (c) -5 (d) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 737375603.\nAnswer: 17033, 43291","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 1.03 (b) -1326 (c) 1\/2 (d) 1\/8 (e) -1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 144*u**2. Let c(b) = 11*b. Determine o(c(n)).\nAnswer: 17424*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in three fifths of a kilometer?\nAnswer: 60000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.4, 3\/4, 1, 0, -38\/13, -2.2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*a - 7*a. Suppose a = 4*t + 5*d - 13 - 8, -5*d + 25 = 0. Let u = t + 4. What is the units digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = k**3 + 22*k**2 - 3984*k - 24486. What is f(-6)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (0 - 0\/(-8))\/(3\/1). Let m = -5\/12 + 3\/4. What is the smallest value in m, -5, c?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (40*b + 29*b - 18*b)*(-b + 0*b - b).\nAnswer: -102*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -0.182 times -7\nAnswer: 1.274","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*4*sqrt(68)*-1)\/(-3*((sqrt(400) - (-2*sqrt(400) + sqrt(400))) + sqrt(400))))**2.\nAnswer: 1088\/2025","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -695 = 183*i - 44*i. Sort i, -11, 152 in ascending order.\nAnswer: -11, i, 152","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:56 PM and 11:18 PM?\nAnswer: 202","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 517 minutes after 1:53 PM?\nAnswer: 10:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -482 times -5\nAnswer: 2410","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1*45)\/((-132)\/440). Let i(d) = 10*d**2 - 2*d + 7. Let v be i(-5). Let h = v - w. What is the tens digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 78897\/14680 + 1\/1835. Calculate the common denominator of -103\/10 and i.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (4\/(-10))\/(209\/(-264)) - (-9 - 4498\/(-494)). Factor -4\/5 - 6\/5*i + j*i**3 + 0*i**2.\nAnswer: 2*(i - 2)*(i + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1413110 + 3?\nAnswer: 1413113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 208*h - 2. Let r be v(2). Suppose 0 = 5*p - 2*w - 878 - 1183, w + r = p. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3625 (base 7) in base 4?\nAnswer: 110332","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1950*w + 1255 = -69039 - 7706 for w.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 441 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: Sort 39, -2, 0.03, -2\/15 in ascending order.\nAnswer: -2, -2\/15, 0.03, 39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 2, s: 3, n: 3, u: 2, g: 3}. Give prob of sequence nnsg.\nAnswer: 9\/2860","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -60031, -60042, -60059, -60082?\n\"Answer: -3*c**2 - 2*c - 60026","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7893?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 167635 to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hssshs. Give prob of sequence hs.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -15 - -19. Let p(v) = 7*v**2 + 4 - 2*v**2 - 8*v - q. Let s(y) = 5*y**2 - 8*y. Let d(c) = -5*p(c) + 6*s(c). Find the second derivative of d(g) wrt g.\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 39817400?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -306*y + 5511. Determine u(18).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 6*t. Let p(f) = -3*f**2 + 36*f**2 - 10*f**2 - 5*f**2 - 10*f**2. Give p(b(k)).\nAnswer: 288*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 164 a factor of 460935649?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 5*v**2 + 413*v - 64. Calculate d(-80).\nAnswer: -1104","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -12524, -50068, -112626, -200198, -312784?\n\"Answer: -12507*z**2 - 23*z + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3408.19 nanometers to micrometers.\nAnswer: 3.40819","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 239687 + 3097 = -4496*r for r.\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m**(5\/3)\/m)\/(m\/(m**0*m))*m**(-3\/5)\/(m**(-3)\/m) assuming m is positive.\nAnswer: m**(76\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 2 g when three letters picked without replacement from {g: 3, b: 1, t: 3, q: 1, h: 3}?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2808.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -15\/41 or -1?\nAnswer: -15\/41","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qqhh when four letters picked without replacement from pnqhqnpqnhhqhhqqc.\nAnswer: 5\/476","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -173*g - 82*g - 801559 = -4207849. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s*(s*s*s\/(s*s**1)*s*s)\/s*s*s)**(1\/17)\/(s**(-6\/11)\/s**(1\/2)) assuming s is positive.\nAnswer: s**(523\/374)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -v**2 + 8. Let j be b(0). Let k be j\/(-45) + (-20)\/(-50). Suppose k*p**3 - 2\/9*p**4 + 0*p + 0 - 2\/9*p**5 + 2\/9*p**2 = 0. What is p?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 26 and -0.176.\nAnswer: 25.824","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) be the third derivative of -1\/12*u**5 - 1\/120*u**6 + 0 - 1\/6*u**3 - 2*u**2 + 0*u - 1\/12*u**4. Calculate w(-3).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = -i + 46. Suppose -g = -72 + i. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*m**2 - 15*m\/4 - 162.\nAnswer: 3*(m - 8)*(4*m + 27)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 4 + 12 = 2*l, -2*i - 11 = -3*l. Sort 1, 0, i in increasing order.\nAnswer: 0, 1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -2*i**3 - 45*i**2 + 22*i + 5622. Let g(u) = u**3 + 31*u. Let s(w) = -g(w) + j(w). What is the first derivative of s(m) wrt m?\nAnswer: -9*m**2 - 90*m - 9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(180)*1 + sqrt(180) + 2 + 1 + 5*(sqrt(180) + (sqrt(180) - 3*-1*sqrt(180)))))**2.\nAnswer: 34992*sqrt(5) + 4724244","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 93\/14 and 70\/(-296)*(-2)\/25?\nAnswer: 2590","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 247 + -246. What is the nearest to -33 in -4\/5, u, -0.2?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (15*w**2 - w + w)*(-2*w + w + 5*w)*(5 - 3 - 5)*(-w - 3*w + w) as d + n*w**2 + b*w**4 + f*w + q*w**3 and give b.\nAnswer: 540","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -134 divided by 4.\nAnswer: -67\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -18, 0.4, -42\/13, -0.08, -0.5, -2, 3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -200, -194, -188?\n\"Answer: 6*f - 206","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = r + 2*i, 5*i - 3 = 22. Determine d, given that d - d**3 - 4*d**2 + 3*d**3 + r*d + d = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -61961300 to the nearest one million.\nAnswer: -62000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 13, p: 6}. What is prob of picking 2 p?\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -9 + 19. Let v = 9.7 - g. Round v to the nearest integer.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4372593 is divided by 1093126.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, -0.17, -5\/3, -0.5, -3 in descending order.\nAnswer: 0.1, -0.17, -0.5, -5\/3, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -48 - 1 - (-32 - (-70 - -64))\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -4326306 divided by -1\nAnswer: 4326306","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 5 and 22698590?\nAnswer: 22698590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 77460.39 micrometers?\nAnswer: 77460390","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 5.8, 0.3, 2\/9, 9.5, 5, -1, -16 in descending order.\nAnswer: 9.5, 5.8, 5, 0.3, 2\/9, -1, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5732?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = -283 + 771. Let l = 23 + m. Let i = l - -159. Is i a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -20*f + 629. Calculate y(32).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 8\/(-24) - ((-177567)\/(-252) - -2). Let l = x - -269161\/868. Let v = -397 - l. Are v and -1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5016 to the power of 1\/3, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = q - 1 - 1. Suppose -2*g - 2*g + 124 = -a, 2*a - 142 = -5*g. Suppose d = -q*d + g. What are the prime factors of d?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 187 and 1.7.\nAnswer: 317.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -299.6 * -2\nAnswer: 599.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -1320812600 divided by 6\nAnswer: -660406300\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 z when two letters picked without replacement from {j: 3, h: 1, w: 2, b: 1, z: 7}.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jvvvvjjvvjjvvjvjjvjv. Give prob of picking 3 v.\nAnswer: 11\/76","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.0388 smaller than -303648?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*x - 22 + 88. Let r be ((-80)\/x)\/((-60)\/(-170550)). Round r to the nearest one thousand.\nAnswer: -38000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 170, 348, 532, 722, 918, 1120, 1328?\nAnswer: 1542","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is (-11033)\/(-44) + (-2)\/(-8) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3352222?\nAnswer: 2, 1676111","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 4, 22, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 194 + -406. Let j = -212.3 - u. Which is the nearest to -0.1? (a) 1\/3 (b) 2\/7 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*f + 25*f + 3*w = 78, -f = -5*w + 22. Suppose 0 = 5*b - 2*x - 46 - 12, 4*x = 4*b - 56. Calculate the remainder when (158\/(-6))\/(9\/f) is divided by b.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12740 is divided by 2123?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2 + -10. Let u(j) = j**3 - 3*j**2. Let c(a) be the second derivative of -a**5\/10 + 5*a**4\/12 - 2*a. Determine y*u(n) - 5*c(n).\nAnswer: 2*n**3 - n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 171 minutes after 11:59 PM?\nAnswer: 2:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 14*m**3 + 14*m**3 - m**4 - 4*m**3 + (2*m**3 - m**3 + m**3)*(-m + 0 + 0) to the form p*m + a + u*m**2 + o*m**4 + j*m**3 and give j.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 10421 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Are 2 and -1125 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*t - 2*t - 3*t)*(0 - 3 + 5)*(-31*t**2 + 31*t**2 - 5*t**3) in the form b*t**3 + s + y*t**2 + x*t**4 + v*t and give x.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that -2*x**4\/5 + 22*x**3\/5 + 2*x**2\/5 - 22*x\/5 = 0.\nAnswer: -1, 0, 1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express s**2 - 3*s**2 + 3*s**2 + (-s + 6*s - 3*s)*(5 - 5 - s) - s**2 - s + s + 1274*s**2 - 3 - 681*s**2 - 646*s**2 as h*s**2 + l + j*s and give h.\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -118*d + 240*d - 121*d + 16 + 213.\nAnswer: d + 229","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7.9 - 51.2. Let v = -46 - i. Let q = v + -0.3. Which is the smallest value? (a) -0.4 (b) 3\/2 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -3 and 297.97.\nAnswer: 294.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Add -389848263 and 3.206.\nAnswer: -389848259.794","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 247627 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 50 less than or equal to 1048\/21?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -l**2 - 16*l**2 + 13*l**2.\nAnswer: -4*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -177447 (base 8) to base 14.\nAnswer: -19b39","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6 - -8. Suppose -2*x + 67 = 5*v, 23 = -3*v + 3*x + 59. Suppose -4*d = i - 0*d - 21, 0 = -i - 2*d + v. Sort 4, i, n.\nAnswer: n, 4, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 13 + -7. Solve -2*v + h = 0, -3*y + 4*v - 3*v = -3 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 14686 and 225535?\nAnswer: 3157490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*m = 12*m. Suppose m = 5*p + 25, -5*u + 3*p + 19 = -3*u. Factor -6*k + 17*k**u - 5 - 11*k**2 + 4*k**3 + 1.\nAnswer: 2*(k - 1)*(k + 2)*(2*k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4830 is divided by 345?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = -5*y - 15, 6*g + 4*y + 30 = g. Let d be 1*2\/(-4) + (-13)\/g. Let u be (0 - -2)\/(32\/80). Solve u*q - d = -31 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2001100101 - 123?\nAnswer: -2001100224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -394398809, -394398812, -394398815, -394398818?\nAnswer: -394398821","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*b + b**3 - 14*b - 20*b + 2*b**2 = 0 for b.\nAnswer: -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that -m**2\/6 + 23693*m\/3 - 976748 = 0.\nAnswer: 124, 47262","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-6)\/(-4))\/((-2)\/(-16)). Solve 0 = a - 4*a - b for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -10? (a) 4.9 (b) 11 (c) 2\/11 (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -g**3 - 11298473*g**2 + g + 55885281.\nAnswer: -3*g**2 - 22596946*g + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3 - -3.2. Let i = n - 0.2. Let c = 17\/45 + -7\/9. Which is smaller: i or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4713746 * 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (18499\/(-247) - (825\/(-285) - -3)) + -19\nAnswer: -94","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 8*i**5 + 6*i**4 - i**3 + i**2 - 7. Let n(j) = -j**5 - j**4 + 1. Let t(h) = -3*f(h) - 21*n(h). Solve t(u) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 36*r - 1186. Let k be i(33). Let f(w) be the first derivative of -1\/3*w**3 + w**k + 7*w - 12. Let c(n) = n**2 - 2*n - 8. Calculate -6*c(s) - 7*f(s).\nAnswer: s**2 - 2*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -382\/1041 or 0.2?\nAnswer: -382\/1041","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 41964778 is divided by 33.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1 (b) -0.1 (c) -0.4 (d) 0 (e) -311 (f) -10 (g) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -f**2 - 5*f - 2. Let j be p(-3). Suppose i - j = 3*i. Let o be (i\/(-7))\/((-6)\/14). Do o and -2 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gs when two letters picked without replacement from gds.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 4\/65 or -1?\nAnswer: 4\/65","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 14 - 12.3. Let z = q - 2.86. Let d = 0.16 + z. Which is the smallest value? (a) d (b) 1\/4 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-3)\/3 + 0 + 0. Let r be 2 + (-54)\/17 - 5\/(-5). Which is bigger: r or s?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is k in 4*k**2 + 42788*k + 24498520 = 0?\nAnswer: -10090, -607","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-136)\/(-34) + 644\/(-32) + -22 + 36?\nAnswer: -17\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -48547 minus 1071467607?\nAnswer: -1071516154","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = -2 - 3. Let w = 2 - 2. Differentiate w + j**2 + 0*j**2 + o - 2*j**2 wrt j.\nAnswer: -2*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - (-18)\/(-14)) + 36\/420?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 17\/32 - 9287\/17504. Which is smaller: r or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 m when two letters picked without replacement from {m: 1, p: 7, h: 1, q: 7}?\nAnswer: 7\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = t**2 + 9*t + 16. Give o(-8).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25465.\nAnswer: 5, 11, 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 721 is divided by (-4)\/(-6) + (-1492)\/(-84) - (-4)\/7.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5552024?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is sixteen fifteenths of a day in minutes?\nAnswer: 1536","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/6760896 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = w**3 - 10*w**2 + 13*w - 10. Let v be b(9). Let d = -24 + v. Suppose -6 = 2*s, -o - d*s - 3 = 1. List the prime factors of o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 322 minutes before 2:03 AM?\nAnswer: 8:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 166 divide 1699?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 8*n**3 + 6*n**2. Suppose -20*q + 21*q = -6. Let r(d) = d**3 + d**2. Calculate q*r(c) + l(c).\nAnswer: 2*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 6*a. Let o be x(1). Let q be (-76)\/232*-46 + (-12)\/174. Solve 2*l = -d + o, -2*d = l + 4*l - q for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 42*g**2 + 0*g**2 + 4.\nAnswer: -42*g**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (10\/16)\/(1\/(-8))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -61\/72 - -5\/8. Which is the biggest value? (a) 2\/5 (b) -0.2 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (326 - (3 - -2))*(-78 - 12925\/(-165)).\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -230.13 (b) 25 (c) 1\/3 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -262.000254 + 262. Round g to 5 decimal places.\nAnswer: -0.00025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -198*f - 25. Determine d(-2).\nAnswer: 371","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 = -5*x - 2*d, 2*x - 2*d = -3*x - 12. Put -3, x, 4, 3 in increasing order.\nAnswer: x, -3, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 126 minutes before 6:35 PM?\nAnswer: 4:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -58 in -4, 2, -3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:49 AM and 12:20 PM?\nAnswer: 331","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3298885 is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = i**3 - 7*i**2 + 7*i - 1. Let v be (1 + 0)*(4 - 3). Let l be 4 + (3\/1 - v). What is r(l)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -77 or -78?\nAnswer: -78","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0 + 1. Let x be i\/(2\/6) + 1. Suppose -3*q = b - 11, -1 - 8 = -5*q - x*b. Solve 3 = 5*p + 13, -g + 4*p + q = 0 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 276 + -267. Suppose 4*h - 83 = -99. Calculate the remainder when (8\/(-6))\/(h\/402) is divided by b.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 568*v + 2 = 570*v for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -128\/5 (b) 0 (c) 2\/17 (d) 1 (e) 1\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 145543572 and 731709.\nAnswer: 1600979292","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 271668871 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = h**2 + 15*h + 24. Let v be z(-13). Let q be -3 + v + 3 - 1. Let l(u) = -3*u + 9. Let j be l(6). Put j, 3, q in ascending order.\nAnswer: j, q, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.2 - -0.7. Let q = 2 + -3. Let t = q + 1.4. What is the smallest value in v, -1\/2, t?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 320451926 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -6940942918 and 162?\nAnswer: 6940943080","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.213 - 4.787. Which is the third smallest value? (a) d (b) 0.45 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 - (4 - 2 - -13) - (-19 + 14)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -n**2 + 24*n. Let o(q) = 194*q. Determine d(o(m)).\nAnswer: -37636*m**2 + 4656*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 12 + -7. Suppose 8*z - 6*z - 22 = 0. Let c = z + -11. Solve c = 3*g + 2*g - u for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -53\/115723 and 43\/169.\nAnswer: 19557187","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -6311*t - 6312*t + 12621*t. Let f(n) = n - 1. Let l(y) = -2*y**2 + 2*y - 18. Let v(r) = 2*f(r) - l(r). Give g(v(k)).\nAnswer: -4*k**2 - 32","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fevye. What is prob of sequence ev?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 23301302 to the power of 1\/3, to the nearest integer?\nAnswer: 286","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -5*2*(-4)\/8. Suppose 2*a - s*y = 92, -3*a - y + 53 = -2*a. Let n = a + -64. Is -11 < n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5298 divide 2326844514?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 583 minutes after 12:46 PM?\nAnswer: 10:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c and 1 s when three letters picked without replacement from {s: 2, q: 7, c: 2}?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.34, 2, 1\/2?\nAnswer: -0.34","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) be the second derivative of a**7\/14 - 1139*a**4\/12 - 10673*a**3\/6 + 5502*a. What is the second derivative of h(f) wrt f?\nAnswer: 60*f**3 - 2278","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 3 + 4 + 16*p**2 - 6. Suppose 2*s = 248 - 250. Determine t(s).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4192 by -4192.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 151745588 to the nearest integer?\nAnswer: 533","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6 - 3*p - 2*p**4 + p**4 - p**3 + 5*p**3 + 5*p - 3*p to w*p**3 + m*p**2 + n*p**4 + y + s*p and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 0.05195*-199\nAnswer: -10.33805","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -1063921*m. Let w(r) = -r**2. What is v(w(k))?\nAnswer: 1063921*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -5*(-2)\/(-4)*-2. Suppose -r*a = -10*a + 25. Solve 4*w + 18 = 2*c, -a*w + 15 = 3*c + 2*c for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7\/((-63)\/(-36)))\/(-6).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 5 - (-2 + 14*(-5)\/(-10)). Suppose 0 = 5*x + g - 3, -2*g + 0 + 6 = -x. Solve a + x - 3 = z for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = y**2 + 38*y - 84. Calculate l(-40).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -59?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, 270, -0.5.\nAnswer: -0.5, 0.2, 270","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 9 = 2*m, m = 6*q - 5*q - 6. Suppose 0*n = 2*n - 8. Solve -z = 4, n*z + 31 = -q*t + 2*t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is a in 3*a**5 - 4977*a**4 + 1576305*a**3 + 423233889*a**2 + 2870512380*a - 3295317600 = 0?\nAnswer: -164, -8, 1, 915","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (2\/(-3))\/((-5)\/135). Let x(h) = 19 - 37 + 132*h**2 + y. Let v(c) = c**2. What is v(x(l))?\nAnswer: 17424*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 5*x + 0*x - 8143 = 0, 5*x = -5*d + 13625. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) be the second derivative of -z**5\/2 - z**4\/2 + 4*z. Find the third derivative of o(x) wrt x.\nAnswer: -60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6367 + -305617\/48. Which is the third biggest value? (a) p (b) -9 (c) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 98 and 22.\nAnswer: 1078","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:55 AM and 2:10 PM?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d + 8 = 4*y, 71*d = 5*y + 66*d - 10 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 725436179 to the power of 1\/2, to the nearest integer?\nAnswer: 26934","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) be the second derivative of -f**4\/4 + 5*f. Let p(u) = -2*u**2. Calculate p(q(v)).\nAnswer: -18*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 26 + -22. Let q be 186\/5 - g\/20. Let m(j) = -j**2 + 1 + 4*j**3 + 37*j - q*j. What is m(-1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-2088)\/(-30))\/(-6))\/((-90)\/20925*62).\nAnswer: 87\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3009 to the power of 1\/2, to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -592 + 596. Let l(j) be the second derivative of 1\/90*j**6 + 1\/30*j**5 + 0 + 0*j**v + 0*j**3 + 0*j**2 - 4*j. Find d such that l(d) = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*b**2 - 4*b**2 - 3*b**2)*(3 - 6 - 4)*(-6 - 4*b**2 + 6).\nAnswer: -140*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b when two letters picked without replacement from bbbcc?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + h - 64 = 0, 5*b - 2*h = 3*b + 40. Suppose 19*d = b*d - 2. What is the tens digit of ((-12)\/(-30))\/(d\/5)*30?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 146306450, 146306456, 146306462, 146306468?\nAnswer: 146306474","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4341658 (base 9) to base 2.\nAnswer: 1000111000111100110111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 - 62*r**2 + 20*r**2 + 1 + 21*r**2 + 23*r**2 in the form f*r + u*r**2 + w and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 45075.4 days?\nAnswer: 3894514560","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(117)*3 - sqrt(117)) + sqrt(117))\/(sqrt(1152)\/sqrt(2))*-4.\nAnswer: -3*sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 4) to base 11.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a - 75 = -3*a. Is 9 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q = -2*t - 0*q - 18, -3*t + 3 = 4*q for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 3, q: 13, d: 3}. Give prob of sequence ddqt.\nAnswer: 13\/5168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4989, 5010, 5069, 5184, 5373, 5654, 6045?\nAnswer: 6564","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 16 = 5*q + 2*b, 0 = 2*q + 5*b + 18. Let c = 6 + q. Suppose -1\/4*z**c + 0 + 1\/4*z = 0. What is z?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 58174511 is divided by 528?\nAnswer: 527","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -p + 11. Let l be o(6). Suppose -21*h - 1136*h**2 + l + 1106*h**2 - 4*h = 0. Calculate h.\nAnswer: -1, 1\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5 - -7. Find the third derivative of 0*i**2 - 3*i**5 - 4*i**r + 2*i**2 wrt i.\nAnswer: -180*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in -0.16, -1, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 167304?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -344341 divided by -488.\nAnswer: 344341\/488","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 3*f**3 - 5*f**2 - 8. Let u(q) = 4*q**3 - 6*q**2 - 9. Give -6*d(o) + 5*u(o).\nAnswer: 2*o**3 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -15 + (-9 - -13 - (-11 - -3)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = s**3 + 125*s**2 + 129*s + 104. Calculate j(-124).\nAnswer: -516","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2, 1.38, -1\/2, -3, 14, -1\/3, -1\/33?\nAnswer: -1\/33","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1637 - 50. What is the tens digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*j**3 + j**3 - 2*j**3)*(276 - 558 + 273)*(2*j - 4*j + 0*j)*(1 + 5 + 1).\nAnswer: 252*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + (-12)\/3 - 2?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*m**2 + 220 + 140*m + 207 - 426 to the form k*m**2 + z + j*m and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 123 and 1341.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-64 - -14) + 56 - (-1 + 27)?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 26151, 52289, 78425, 104559?\nAnswer: 130691","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = o**2 + 12*o - 3. What is the remainder when 17 is divided by w(-13)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 3*o**2 - 17*o. Let l(h) = -29*h + 98*h - 31*h - 39*h. Calculate i(l(a)).\nAnswer: 3*a**2 + 17*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 101 in -2\/5, -4, -3, 1\/2, -99?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2856 and 29008?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*y - 3*y**2 + 4*y**2 - 3*y**3 + y**3 + 4*y**3 to the form q*y + b*y**2 + x + v*y**3 and give q.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -2*p - 11. Let f be k(-8). Suppose 3*l = -f*u + 31, 0 = -4*u - 5*l - 0 + 17. Calculate the smallest common multiple of u and 4.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 15*p - 132. Let w(g) = -37*g + 315. Let y(s) = -12*q(s) - 5*w(s). Let i be (-4)\/6 + (-19)\/3. Let h(b) = 4*b + 8. Give i*h(k) + 6*y(k).\nAnswer: 2*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 173770?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = -g + 466 + 214, -3*g - 5*d + 2082 = 0. What is the remainder when g is divided by 17?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 13 and 90.\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = -14*i + 940. Suppose 0 = -i*p + 92*p + 6. Find the second derivative of 5*w**p - 2*w**3 - 27*w + 3*w**3 - 3*w wrt w.\nAnswer: 36*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 489 a factor of 865243?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -368922436 divided by 4.\nAnswer: -92230609","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 4, 15, -4.\nAnswer: -4, -2, 4, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -90, -121, -152, -183?\n\"Answer: -31*b - 59","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2561455.\nAnswer: 5, 13, 157, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 68743*a**3 - 206208*a**3 + 68730*a**3 + 68748*a**3.\nAnswer: 13*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (6\/4)\/((-6)\/(-12)). Suppose 5*p = -18 - 7, 3*f + 33 = -w*p. Let t(s) = -s**3 - 5*s**2 + 5*s - 5. Calculate t(f).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1266, -1228, -1152, -1026, -838, -576, -228?\nAnswer: 218","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 438\/7 greater than -26789?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x\/((x\/(x**(-6)*x)*x)\/x))\/x*x*(x\/(((x*x*(x\/(x\/(x\/(x**(-6)\/x))))\/x)\/x)\/x)*x*x*x*x)\/x)\/(x**0)**(7\/6) assuming x is positive.\nAnswer: x**(-7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 19 - 19. Is l at most 0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 32 - 57. Let v = m - -25. Put -1, 11, v in descending order.\nAnswer: 11, v, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) be the third derivative of -o**4\/8 - o**2. Let u(k) be the third derivative of 0*k**4 + 0*k**3 - 7*k**2 - 1\/15*k**5 + 0*k + 0. Give h(u(m)).\nAnswer: 12*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8 - 393*c - 1795*c + 8.\nAnswer: -2188*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -34 - -32. What is the second smallest value in h, 0.2, 0.4, -5?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4.6 + -0.3. Let v = 33.3 - p. Let d = -31.8 + v. What is d rounded to the nearest integer?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 403*s**2 - 7*s - 11762 with respect to s.\nAnswer: 806*s - 7","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = u**2 + 140*u + 2000. Calculate z(-129).\nAnswer: 581","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Are 94\/5 and 20 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 155797 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = g**3 - g**2 + 1. Let q(k) = -k**3 - k**2 - k. Let s(o) = -2*d(o) - q(o). What is the units digit of s(3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -39422*k**2 + 3*k + 752.\nAnswer: -78844","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 620 is divided by 275?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 less than or equal to -95478666?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 5, f: 2}. What is prob of sequence ppp?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = i**2 + 2*i + 1. Let s be p(-2). Let k(m) = -3*m**3 - 2*m + 1. Let d be k(s). What is the units digit of ((-540)\/d)\/5 + -3?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 0*o + 1 + 3 + 3*o + 0. Let g be h(-3). Let v(q) = -q - 5. Calculate v(g).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = l**3 + l**2 - 1. Let f be q(-1). Which is smaller: 2\/23 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2450 and 98.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 7, n: 3, w: 1, k: 7, b: 1}. What is prob of picking 1 e and 1 w?\nAnswer: 7\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -22 + 16. Let m be -3*(0 + 170\/b). Suppose -k - m = -2*j, -7*j + 220 = -2*j + 5*k. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 601 - 167. What is the hundreds digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = w**2 - 2*w - 3. Let g be t(4). Sort -5, 3, 4, g in decreasing order.\nAnswer: g, 4, 3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 40 + -82. Let d = 41.9527421 + 0.0501579. Let x = d + h. What is x rounded to three decimal places?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*a + 3*a + 12. Let b be (1 - (-1)\/2)*6. Solve 5*f - 3*p - 37 = 0, f - b = 4*p + a for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 313 is divided by 112.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*m + 565 - 565.\nAnswer: 2*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 - 20 = -3*c. Suppose 0 = 5*h + c*s - 10, -h = h + s - 4. Let a be (-6 + 1)*-1*h. Solve -5*r - 5*g + a = -0*g, -g = 1 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -24021 + 215?\nAnswer: -23402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -724 + 778. What is the smallest common multiple of 1762 and h?\nAnswer: 47574","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uuu when three letters picked without replacement from {u: 17, n: 2}.\nAnswer: 40\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m*(m*m**(-3))\/m*m*((m*m*m**(-2\/5)*m)\/m)\/m*(m**(-2\/3)\/m)\/m**(-1\/6))\/((m*m**(-1))\/m**(-2\/5)*m\/(m\/(m**(-2)\/m))*m*m**(-2\/7)) assuming m is positive.\nAnswer: m**(69\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 942*v**4 - 942*v**4 - 2 + 792*v**5)*(4 - 2 - 1).\nAnswer: 792*v**5 - 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -v**3 + 25*v**2 + 310*v + 15. Determine n(-9).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*f - 1 + 1)*(-3 - 2*f**2 + 2 + 2).\nAnswer: 10*f**3 - 5*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 2*v**2. Suppose -4*n + 2*n = 0. Suppose n = -i + 2. Let y(d) = -5 - 2*d**i + 5. Calculate y(a(s)).\nAnswer: -8*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13 (base 7) to base 16.\nAnswer: a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*g**4 + g**5 + 2*g**4 - 3*g**5 + 0*g**5 + 4*g**5 + (0*g**3 + 2*g**3 - g**3)*(2*g**2 - g + g) - 3*g**5 + 7*g**5 - 3*g**5 - 4*g**3 + 4*g**3 - 2*g**5.\nAnswer: 3*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1220011 (base 4) to base 6.\nAnswer: 50501","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-5)*i**1)**(-23) assuming i is positive.\nAnswer: i**92","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 e when two letters picked without replacement from {m: 2, i: 1, t: 1, e: 1, p: 2, c: 1}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 5*s + 12 = 2, -3*s = -3. Let h(x) = -x + 11. Let p be h(6). What is the highest common factor of l and p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/(0 - -2) - -43. Suppose 0 = -5*h - g + w, -13 = -3*h - g + 13. Suppose 62 = -6*b + h*b. Is 13 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16.45 minus 0.06?\nAnswer: 16.39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Product of 5 and 331760.4.\nAnswer: 1658802","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -58 (b) 2\/7 (c) 4 (d) -1\/8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 546 minutes before 4:17 AM?\nAnswer: 7:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 637 + -2?\nAnswer: 635","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -35717.507 times 0.13\nAnswer: -4643.27591","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5 + 5 + q)*(4 - 2 - 4) - 110*q - 220 + 120 + 77 as f*q + i and give f.\nAnswer: -112","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 46 - 40.6. Let l = q + -0.4. Let n be -3 - (-1)\/(40\/115). Which is the closest to 1\/3? (a) -2 (b) l (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/7 >= -1466\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 3*h - 10 = 0. Let d(c) = 18*c + 2 + h - 5 - 3. Is d(5) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18518710 to the power of 1\/2, to the nearest integer?\nAnswer: 4303","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -t**2 + 25*t - 88. Suppose -4*y + 95 = -i, -3*y - 5*i = y - 101. What is the least common multiple of y and h(5)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6*2\/(-20)*(-25)\/(-10)?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0 - 2. Let s = -1.1 - -0.1. Let q = t - s. Do 0 and q have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -18573, -35379, -52185, -68991?\nAnswer: -85797","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 44*f**2 + 36*f + 3*f**3 - 80*f**2 - 75*f.\nAnswer: 3*f*(f - 13)*(f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jt when two letters picked without replacement from iviitttvji?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5189 to the nearest integer?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 249 = 5*c, 0 = 4*c - 2*c. What are the prime factors of w?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -14*9\/(-63)*(-10)\/(-260)\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 2*y + 2. Let o(u) = 1. Calculate -2*o(r) + p(r).\nAnswer: 2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-1\/2)*t*t)**(-23)*(t*t*t**(-1\/6)*t*t)\/t*t**(-6)\/t assuming t is positive.\nAnswer: t**(-116\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 845 - 27. Suppose -c = 8*m - 13466. List the prime factors of m.\nAnswer: 3, 17, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = d**3 - 23*d**2 - 19*d + 21. Determine q(17).\nAnswer: -2036","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1101\/5 - -1717\/10. Find the common denominator of -29\/7 and d.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 237554 - 1\/(112\/(-36) - -3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -101 - 25 - 28 + 152 + 22*q + 4*q**2. Calculate h(-7).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mmuuuuummumqimmmuuiu. Give prob of sequence iuum.\nAnswer: 16\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 855375 and 33.\nAnswer: 9409125","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 28*o**3 + 2466*o**4 + 60*o**3 + 567 - 88*o**3 + 5*o wrt o?\nAnswer: 29592*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 37446, 74841, 112244, 149655, 187074, 224501, 261936?\nAnswer: 299379","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 6050 bigger than 30252\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -1631, -5697, -9763, -13829, -17895, -21961?\n\"Answer: -4066*d + 2435","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(99)*2*-4)\/sqrt(9).\nAnswer: -8*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 32906, 32905, 32904, 32903?\n\"Answer: -d + 32907","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -282bd (base 14) to base 9.\nAnswer: -161241","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 331.66 - 330.66. What is the closest to g in -1, 0.1, -0.1, 0.38?\nAnswer: 0.38","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(39)\/sqrt(3)*-5*6*-6.\nAnswer: 180*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 110*11\/(-660)*8. Which is bigger: h or -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 51930.63km?\nAnswer: 51930630000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 117359*c**2 - 117359*c**2 - c**3.\nAnswer: -c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sum -50.83831 and -7.6657413.\nAnswer: -58.5040513","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that -480 + 216*r - 3\/2*r**3 - 18*r**2 = 0.\nAnswer: -20, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -54 - -53. Let j be (((-35)\/10)\/7)\/(o\/14). Factor 35*l**2 - j*l**2 - 5*l**2 + 52*l**2 - 60*l + 12.\nAnswer: 3*(5*l - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1 (b) -19 (c) 0.2 (d) 1\/3 (e) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -72.256 to one decimal place.\nAnswer: -72.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = x - 4. Calculate b(3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -3*u + 1. Let r be w(-6). Suppose 4*v + 37 = 4*p - 3, -4*v - 50 = -5*p. Suppose p = 3*a - 104. What is the highest common factor of r and a?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10011101010100010000011000 - 1?\nAnswer: -10011101010100010000011001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 7701131 (base 8) in base 10?\nAnswer: 2064985","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 - -2 - -4 - -3?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -103*v**4\/2 + 24927*v**3\/2 - 1508265*v**2\/2 + 14641*v\/2.\nAnswer: -v*(v - 121)**2*(103*v - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*a**3 + 4585*a**2 + 10012170*a.\nAnswer: -5*a*(a - 1946)*(a + 1029)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.08044*0.1083.\nAnswer: 0.008711652","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(-14)\/w*w\/(w**12*w)*(w*w**1)**(-7\/4) assuming w is positive.\nAnswer: w**(-61\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 4, -7, -4 in ascending order.\nAnswer: -7, -4, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 1, f: 6, c: 3, h: 1, m: 2}. What is prob of sequence fffh?\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1841700 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - 223*j + 107*j + 102*j to w + g*j and give g.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1316 and 252.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 566 + -1362. Let p be (q\/(-4))\/((-6)\/(-24)). Suppose o - p = 175. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tctccjcl. What is prob of picking 3 c and 1 t?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by -796.\nAnswer: 1\/199","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 457*s - 882726 + 911060 = 0 for s.\nAnswer: -62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24 - 2399*p + 2400*p + 2 + 1.\nAnswer: p - 21","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -15299\/8 + 1903. What is the common denominator of n and 9\/7?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-40 - -5)*133\/3325.\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - 4*a = -106, -5*q - 4*a - 20 = -7*q. Calculate the smallest common multiple of q and 30.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-6\/11))**(3\/14) assuming q is positive.\nAnswer: q**(-9\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zgzizzzggzgzzzizzzgz. What is prob of picking 1 i and 3 g?\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 200722?\nAnswer: 2, 100361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -3*t. Let u(k) = -39*k - 38*k + 77*k + 11*k**2. Determine i(u(v)).\nAnswer: -33*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1436 + 752. Let i = z + 1080. List the prime factors of i.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v, 2 t, and 1 x when four letters picked without replacement from {t: 5, v: 2, x: 5}?\nAnswer: 20\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -2145895 - -0.26\nAnswer: -2145894.74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 304105 is divided by 332.\nAnswer: 325","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 427617?\nAnswer: 3, 47513","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 331.9051249 rounded to 2 dps?\nAnswer: 331.91","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 97.5 at least 77?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12010 - 1010211?\nAnswer: -1022221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -j**2 - 164*j + 21551. Calculate f(-250).\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*z - 0*z - 2. Let p(a) be the second derivative of -a**3\/6 + a**2\/2 + 4*a. Let w(s) = 2*s - 3. Determine z*w(r) - 3*p(r).\nAnswer: r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zeqeeeeezezkeeke. What is prob of sequence kzzz?\nAnswer: 1\/3640","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/(s*s\/s**(1\/2)))\/(s\/(s\/(s**(3\/7)\/s))))**(1\/12)\/((s*s**(1\/3))\/s**9)**(-8\/13) assuming s is positive.\nAnswer: s**(-10291\/2184)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2 + 2098a81?\nAnswer: 2098a83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 920909 take away 0.04?\nAnswer: 920908.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -272 - -768. Let x be (c\/40)\/(1\/5). Let d = x - 43. Is d a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 8 = -3*t + 4*l, 2 = 5*t + 3*l. Let f be -3*t*63\/(-27). Let j = 16 - f. Solve 0*c - j = 3*c for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 20 - (32 - -18) - (-15 + (1 - -4)).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s - 2*l = 16, 5*s + 697*l = 699*l + 16 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*g = 4*g. Suppose g = -10*s + 5*s - 10. Sort 1, -5, s.\nAnswer: -5, s, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -3*u**2 + 16*u + 5. Let o be f(10). Round o to the nearest 10.\nAnswer: -140","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand v**4 - 2*v**4 + 2*v**4 + 2*v**4 - 3 + 3 - 3*v**3 + 3*v**3 + v**4 + (0 + 0 - 2*v)*(-3*v**3 - 2*v**3 + 3*v**3) - 8 + 8 - 4*v**4.\nAnswer: 4*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.0209264 to two decimal places.\nAnswer: -1.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 60*d + 1317. What is the remainder when 15927 is divided by o(-19)?\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -b**2 - 25*b + 1094. What is u(-49)?\nAnswer: -82","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 396 divided by 6?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = -2*f + 4*f - 2, -5 = -5*f. Solve g = -4*a + v - 1, 0 = 2*a + 2*a + v - 1 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9915843845 + 3.\nAnswer: -9915843842","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -12*t**3 + 2*t**2 + t - 1. Give y(-1).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -88989 divided by -3\nAnswer: 29663","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1090*h = -1112*h - 176 for h.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2467 rounded to one decimal place?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0001436895 to 5 dps.\nAnswer: -0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r = 4*w, -3*w - 9 = -2*r - 4 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d*d*(d\/(d*d*d**(-1\/8)*d))\/d*d)**5)**36*(d**(-14)\/(d**10*d))**(-3) assuming d is positive.\nAnswer: d**(555\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 4 times 658.458\nAnswer: 2633.832","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 613 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = w**3 + 42*w**2 - 43*w - 77. Determine s(-43).\nAnswer: -77","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.12 and -11.0644.\nAnswer: -1.327728","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (z**2 + 3*z**2 - 5*z**2 + 3*z)*(-3*z**3 + 4*z**3 + 3*z**3).\nAnswer: -4*z**5 + 12*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 10046489 to the nearest integer?\nAnswer: 3170","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 564 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1baa72c + 1?\nAnswer: 1baa72d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 7\/2 of a millennium?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -562*a + 563*a = 117. What is the lowest common multiple of a and 3?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = k**3 + 17*k**2 - 4*k + 10. Let z be i(-17). Let u be (z\/(-20))\/1*(-8)\/(-6). Is -4 less than u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21762747709 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l**(-3\/5))**(-28)*l*l*(l*l**(-1\/14))\/l*l*l**1*l)**35 assuming l is positive.\nAnswer: l**(-439\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = f**2 - 7*f + 2. Let k be w(7). Suppose -3*s = -s + k. Suppose 11 + 37 = -24*i. Which is the closest to i? (a) 0 (b) 1 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzyyzyzttctczctcz. Give prob of picking 2 c.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 627 minutes after 1:11 PM?\nAnswer: 11:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -2258432, -4516746, -6775060, -9033374, -11291688?\n\"Answer: -2258314*a - 118","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20294 is divided by 399.\nAnswer: 344","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 3 and -3811773309?\nAnswer: 3811773312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4\/((-216)\/15)*(3 - 1). Which is bigger: -2 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 2*g**3 - 26*g**2 + 99*g + 48. Calculate w(9).\nAnswer: 291","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a gram in milligrams?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2 - (2 - (-2)\/(-2)). Let r be 1 - (z - (2 - 0)). What is the third derivative of 3*j**5 - 12*j**2 + j**3 - j**3 + 14*j**r wrt j?\nAnswer: 180*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -5 + 5 + 9*j. Let y be (-5 - (-48)\/10)*-5. What is z(y)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -1\/3, 7, -6.\nAnswer: -6, -5, -1\/3, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 66, 2\/9, 19, 5, -5, 5\/2, 0.3?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d and 1 v when three letters picked without replacement from ddeeeeeeev?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 186465 bigger than 186469?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 10751 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(-12)*-3*(-44)\/77?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 31*k + 26. Let g(o) = -94*o - 79. What is 6*g(d) + 17*t(d)?\nAnswer: -37*d - 32","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 148 = -2*f, 2*f + 355 = 7*f - 5*w. Suppose -3*d - 5*o + 58 = -o, -3*d + o = -f. Does 9 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(5 + (4 + (sqrt(684) + -1*(sqrt(684) + 1 + sqrt(684) + sqrt(684)))**2)*4).\nAnswer: -65814 - 576*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1147*q - 270732 = 5299*q for q.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1839*a = 1435*a - 3133*a + 84888 for a.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5.13 - 0.13. Let u = 365 - 361. Let r = i - u. Is -1.2 at least r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -3*r**3 + 4*r - 52. Let o(b) = -13*b**3 + 18*b - 208. Determine -2*o(t) + 9*w(t).\nAnswer: -t**3 - 52","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -422053080 divided by 84360?\nAnswer: -5003","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eeereeereeeeeenre. What is prob of sequence re?\nAnswer: 39\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 41\/57? (a) -7.9 (b) -2 (c) -3 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4 - ((-3 - 2) + -12 + 17)) + -4?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p + 12*l = 10*l - 20, 0 = 2*p + 3*l - 2 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 9 + 11 = 0. Calculate the remainder when g is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1347 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:42 AM and 9:52 AM?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*v - 3 = 9*v for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5 (base 7) to base 12.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 2*r = 5*r - 10, 4*r - 8 = 4*d. Let u = d + 4. Calculate the remainder when (-7 + 9)*(-22)\/(-4) is divided by u.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + r**3 + 2)*(0 + 0 + r) - 302 + 195*r**4 + 302 in the form m*r**2 + y + i*r**4 + h*r + d*r**3 and give i.\nAnswer: 196","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 3724894 - -19669.79\nAnswer: 3744563.79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1368 and 10868.\nAnswer: 195624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -126898 + 63435 + 63463 - 455*g**2.\nAnswer: -455*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 5*v**2 - 2*v - 15. Let h be b(6). Let d = -109 + h. Find the second derivative of -117 - 6*q + 117 - d*q**3 wrt q.\nAnswer: -264*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -669781 divided by -8?\nAnswer: 669781\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -2*4\/24*-2. What is the second smallest value in -2, 0, s?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 828*m**2 - 1559*m**2 + 738*m**2.\nAnswer: 7*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = q**2 - q + 3. Suppose -4*k = -t - 136, k = 116*t - 117*t + 29. What is the least common multiple of j(3) and k?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/4*(-30)\/45*-66.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3689020*p**5 + 66*p**2 + 11*p - 1515 wrt p?\nAnswer: -221341200*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/21, -0.04, 4, 41, 3 in descending order.\nAnswer: 41, 4, 3, -0.04, -2\/21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*h + 16 = -5*h. Suppose 2 = h*k - 4*m, 31 = -5*k - 2*m + 3*m. Let u = k + 9. Solve -1 = -3*o + u*o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -259, -257, -253, -247, -239, -229?\n\"Answer: i**2 - i - 259","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 5, -6, 87, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2272271, -2272275, -2272279, -2272283, -2272287?\nAnswer: -2272291","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 703 - 704. Let h be -5 + m\/((2\/5)\/(-2)). Solve w + 3 = -2*t, h = 6*t - t for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 567854 to the power of 1\/3, to the nearest integer?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -x**3 - 5*x**2 - 9*x - 8. Let t be v(-2). Let o(r) = -255*r - 19. Is o(t) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2394?\nAnswer: 2, 3, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -24*z**2. Let i(p) = -871*p. What is x(i(y))?\nAnswer: -18207384*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 2705593 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-25)\/(1375\/(-44))*10\/4. Let z(o) = -1 - 2*o + 0 + 0*o + 3*o**2. Give z(l).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -396, -393, -388, -381, -372, -361, -348?\n\"Answer: m**2 - 397","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -o**3 - o**2 + o. Let j(i) = 5*i**3 - 2*i**2 - 13*i + 1. Let g(c) = j(c) + 6*z(c). Let s be g(-7). Are s and -2 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/3*(-2580)\/40. Let f = b - -20. Let m = -33 + f. What is the highest common divisor of 15 and m?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -110609.556 to the nearest ten thousand.\nAnswer: -110000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 59 - 49.1. Let u = n - 10. Is u greater than 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*l**2 + 4 - 4)*((-12*l**2 + 3*l**2 - 7*l**2)*(3 - 1 - 4) + 0*l**2 + 3*l**2 - l**2).\nAnswer: 68*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9370 is divided by 373.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = c**2 + 4*c + 7. Let y(d) = -d**2 + d. Let l(t) = -s(t) - 3*y(t). Let g be l(-6). Suppose 272 = 5*h + g. Does 16 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -f**2 - 16*f - 39. Let j be c(-11). Let y(n) = -2*n**2 - 5*n + 3. Let a be y(-4). Let d = j + a. Solve -w + d = -5*h - 13, 3*h - w + 10 = 0 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -28.2, 0.2, 19, -126, 0?\nAnswer: -126","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -13425 by 5.\nAnswer: -2685","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -126.82595 - 0.18405. Let q = -127 - u. What is the third smallest value in 0, 6, q?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w - 3*w = -5*d - 2, 0 = 2*d - w. Suppose d*h - 9 = -r, 3*r + r + h - 22 = 0. Solve 4*s - 12 = s, r*s - 20 = q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 76129.5 - 76130. Let s be (-27)\/(-33) - (-4)\/22. What is the fourth biggest value in -7, s, 9, i?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ay when two letters picked without replacement from eebeaetbeyeyabyy.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -4626, -4628, -4630, -4632, -4634, -4636?\n\"Answer: -2*m - 4624","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -9? (a) -4 (b) -3 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 109104397?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-6\/7)*r**(1\/6)*((r\/(r\/(r\/r**0)))\/r)**(-2\/67))**(-3\/7))**14 assuming r is positive.\nAnswer: r**(29\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -11*j. Let r(x) = 4*x**2 - 104940*x. Determine r(g(i)).\nAnswer: 484*i**2 + 1154340*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 113455218 a multiple of 474?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 41 divided by 2089?\nAnswer: 41\/2089","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -11147*j**6 + 120391*j**2?\nAnswer: -1337640*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 113 - 108. Let s be (-3)\/(h\/15*-1). Suppose s*g - 2462 - 31 = 0. What is the hundreds digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 517777009 to the power of 1\/8, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 964 is divided by 634?\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -37, -31, -11, 29, 95?\n\"Answer: c**3 + c**2 - 4*c - 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 24.3107 to the nearest ten.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -q**3 - 15*q**2 - 29*q - 33. Give w(-13).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 40.31747 decades to months.\nAnswer: 4838.0964","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 568 (b) -0.5 (c) 2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + d**2 - 2)*(36778*d**3 - 18035*d**3 - 16769*d**3).\nAnswer: 1974*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: What is 1273 to the power of 1\/2, to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.505033 plus 18.95?\nAnswer: 19.455033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*g - 25*g - 5*o = 228, -2*g + o = -429. Let f = g + -208. Solve 8 = -m + 5*j - 3, -2*m + f*j = 12 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 7\/17 (b) -2 (c) -28\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hooo when four letters picked without replacement from iihoioiiiohhhi.\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 189 (b) -1 (c) -3 (d) -41\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -16985+-89\nAnswer: -17074","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 779543977 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5 in 23, -1, 0.171, 20?\nAnswer: 0.171","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 623*j**3 - 168*j - 49. Let x(h) = -26*h**3 + 7*h + 2. What is 2*m(z) + 49*x(z)?\nAnswer: -28*z**3 + 7*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = -5*i - 2*b, -4*b - 8 = 30*i - 28*i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 83 divide 1113860?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 52627608 divided by 2923756\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = o**3 - 4*o**2 - 7*o + 20. Let s = 26536 + -26533. Determine k(s).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) be the first derivative of 2*n**5\/85 + 137*n**4\/34 + 16*n**3\/3 - 1235. Find y, given that w(y) = 0.\nAnswer: -136, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 228 and 570.\nAnswer: 1140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -7.9 in -1, 0.4, -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -283*v - 4191. What is the remainder when 1\/2 - (-945)\/6 is divided by m(-15)?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i - 5*i - 4*k + 3317 = 0, 3*k + 1974 = 3*i. Is (i - -9)*(-3)\/(-6) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-25*u + 3*u - 3*u)*(-2*u - 2*u + 6*u).\nAnswer: -50*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.14 - 0.06. Put g, -2\/11, -2\/17 in descending order.\nAnswer: -2\/17, -2\/11, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 3, y: 1, r: 2, m: 5, s: 5}. Give prob of sequence msqm.\nAnswer: 5\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1077966007?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -g**3 + 6*g**2 - 5*g + 4. Let o be f(5). Suppose 4*l - 3*n - 5 - 58 = 0, -l - o*n = 8. Calculate the least common multiple of l and 16.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate h**3*i - 8*h**3*k**2 - 2*i*k**3 + 5*i*k**2 - k**3 wrt i.\nAnswer: h**3 - 2*k**3 + 5*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: ((-280)\/15)\/((-37730)\/4620)\nAnswer: 16\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 30 and 218703885.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*r - l + 66 + 19, -l = -1. Let o be ((-4)\/6 - (-7)\/r)*9. What is the nearest to -3 in -4, o, 0.3?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) be the second derivative of -f**5\/20 - f**3\/2 - 3*f**2\/2 - 69*f. What is the units digit of a(-4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -80, -75, -60, -29, 24, 105?\nAnswer: 220","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + -6*(1*sqrt(1089) - sqrt(1089))\/sqrt(3).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -r**2 + 5*r - 3. Let s be t(3). Let j(m) be the second derivative of m + 0 - 1\/2*m**s + m**2. Let d(k) = -4*k + 2. Calculate 2*d(o) - 3*j(o).\nAnswer: o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -t**2 - 5*t + 667. Suppose 3*w - 8*w = 0. Is n(w) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ws when two letters picked without replacement from wwgws.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 2395 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -5 + ((-32)\/15)\/((-18)\/45). Which is greater: y or -1.753?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 110210110222 (base 3) to base 16.\nAnswer: 3d7cf","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 100598 and 1790?\nAnswer: 358","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6*v**2 + 2*v**2 + 0*v**2)*(-2*v - 59 + 59) in the form m*v**2 + y*v + f*v**3 + s and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - f + 78006 = 0, 0 = -2*c - 3*f + 1540 + 29665. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -d**4 + 11*d**3 + 9*d**2 - 15*d - 10. Let y(p) = -p**4 - p**3 - p**2 - p + 1. Let i(x) = 3*l(x) - 6*y(x). Find h such that i(h) = 0.\nAnswer: -12, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.5? (a) 0.1 (b) -0.2 (c) 35397\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -159029, -159023, -159005, -158969, -158909, -158819?\nAnswer: -158693","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 54501017.\nAnswer: 54501017","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -27 (b) -0.5 (c) 249.031\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 252?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -2*n - 2. Suppose -k + 2 + 4 = 3*g, 4*g = 3*k + 8. Suppose -g*s + 4*o = 3*s + 16, 0 = -4*s - 4*o - 20. Calculate c(s).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-5 + (-3 + sqrt(175)*-2)**2)*4 + -5.\nAnswer: -8453 - 720*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -974 - -2?\nAnswer: -972","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 737*c*x**3 - 9*c*x**2 + 5*x**2 - 2*x wrt x?\nAnswer: 4422*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(1\/7))**(5\/8)\/(h\/h**(-1\/17)*h)**(4\/11))**(-36) assuming h is positive.\nAnswer: h**(62145\/2618)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 329 - 122. Suppose g = 5*a - 233. Calculate the remainder when a is divided by 30.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) -0.5 (b) -1 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + -5 + 2\/12.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = h**3 + 95*h**2 + 555*h + 92. What is the thousands digit of b(-88)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-15015)\/2366 - 4\/26)*-154. Calculate the greatest common divisor of 2184 and i.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 99.0587ns to milliseconds.\nAnswer: 0.0000990587","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.0514459 rounded to the nearest integer?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 134576742?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3407 + -3407. Solve j = 2*i + o - 1, -38*i + o - 1 = -33*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + 37 = 12. Let m be (0 - 3)*z\/3. Suppose 0 = -3*h - m*q + 34, -4*h + 54 = -0*q - 2*q. Calculate the greatest common factor of 26 and h.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 92569907 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-447)\/(-15) - (-1)\/5. Let u be -1 + 1 + n\/6. Let o be u\/(-25) - 12\/(-10). Put -4, 5, o in decreasing order.\nAnswer: 5, o, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6\/39 + ((-4071900)\/(-585) - (-6)\/(-9)) a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*(sqrt(130) + (sqrt(130) + sqrt(130)*-2 - sqrt(130) - sqrt(130))) + (-2*sqrt(130) - sqrt(130))*3)\/((sqrt(810) - -3*sqrt(810))*1) + -2)*3.\nAnswer: -6 - 5*sqrt(13)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 61 and 48129.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -103\/88500 and 67\/1560.\nAnswer: 2301000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 48726019109 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -125, -192, -259, -326, -393, -460?\nAnswer: -527","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 >= 6\/60293?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 3*p = 9, 0 = -3*w - 0*p + 4*p + 17. Let x be (-2000)\/w*15\/2. Round x to the nearest 1000.\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1\/3 - 1 - (-16)\/(-12). What is the hundreds digit of 8\/(i\/(-32)*(-20)\/(-130))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 193732 is divided by 64573.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 199780 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 11016?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -72 + 66. Suppose 2 = -3*o - 13, -3*b + 4*o = 28. Let q = h - b. What is the highest common factor of q and 50?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2057.33 - 2071. Let q = w - -10.6685. Let n = -3 - q. Round n to 3 dps.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2514 and 24.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(-2)*(-45)\/(-9)*(-684)\/(-285)\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = s**2 - 9*s - 20. Let y be f(11). Suppose -y*b = -7*b - 40. Find the common denominator of (2 - 79\/b) + 4 + -5 and 77\/18.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1400590673 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2120 - 2069 = -4*m + 5*x, -15 = -5*m - 5*x for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f - 3 = -l, 22*f = -527*l + 531*l + 78 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 735? (a) -3 (b) -1\/3 (c) -0.6 (d) -64 (e) 3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.621 rounded to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 211*o = -91*o + 6*o + 7104 for o.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 107730 a multiple of 38?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 880 is divided by 283.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*f + 150 = 56 - 71. What is the remainder when 40 is divided by f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -2*o**3 - 4*o**2 + o - 1. Let x = -30 - -27. Calculate the smallest common multiple of h(x) and 22.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 54 and 144?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -227.9612558 rounded to 2 dps?\nAnswer: -227.96","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -10680 - -10684. Solve -m - 12 = -c for m.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.20499 + 0.00499. Suppose 4*i = 5 - 1. Suppose 5*h - i = 4*g + 2, -g + 2*h = 0. Put g, 0.1, 0, o in descending order.\nAnswer: 0.1, 0, o, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -l**2. Let q(r) = 6*r**2 + 2. Let c(n) = n**2 + 1. Let d(v) = -5*c(v) + q(v). Let s(j) be the first derivative of d(j). Determine s(f(t)).\nAnswer: -2*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-29 + 74 + 20)*(1332*c**2 + 46*c**3 - 1332*c**2)*(-c + 0 + 0).\nAnswer: -2990*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -284*o + 49*o + 144*o - 1092 for o.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-34)\/17)\/((-2)\/2*6\/(-39)).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -5*b + 103. Let m be g(16). Let u = m + -16. Solve -u*f - 16 = -3*f for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) be the third derivative of 0*u**3 + 0*u + 0*u**6 - 1\/20*u**5 - 4*u**2 + 0 + 0*u**4 + 1\/42*u**7. Find the third derivative of o(m) wrt m.\nAnswer: 120*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -4*j**2. Let g(r) = -r - 1 + 5 - 4. Calculate g(v(n)).\nAnswer: 4*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = 96 - 321. Let w be 0 - (-5)\/(t\/(-9)). What is the third smallest value in w, -0.4, 5\/2?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 24973093 to the nearest integer?\nAnswer: 292","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2457 and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 137*g**2 - 2*g + 11. Let o be j(3). Suppose 5*h + 118 = o. What is the highest common divisor of 16 and h?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 85 + -38?\nAnswer: 4a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (20\/(-18))\/((-2390)\/51624)\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -646*a**5 + 475572*a**4 + 1119870*a**2 - 10*a + 9 wrt a.\nAnswer: -38760*a**2 + 11413728*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2 - -1268?\nAnswer: 1266","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in eighteen fifths of a litre?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2 + -14?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 r when three letters picked without replacement from {h: 10, r: 4}?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = l - 186. What is the units digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -45*r - 7*r - 2 + 18*r - 7*r - 9*r.\nAnswer: -50*r - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4*(8\/(-5))\/4)\/(156\/3120).\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -368546, 3, -2, 0, 2 in increasing order.\nAnswer: -368546, -2, 0, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 117?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 3*g**2 + 2*g - 12. Give q(-4).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -256450 divided by 1115?\nAnswer: -230","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2829*y + 2700*y + 1269876. Is y a multiple of 98?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/3, -0.3, -16\/7, -1?\nAnswer: -16\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = j**3 - 10*j**2 + 9*j + 7. Let x be a(9). Let w be -8 + x + 1 + 10. Let y(g) = -g**3 + 12*g**2 - 20*g + 4. Let h be y(w). Solve -p + 1 = -h for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = f + f. Suppose 5*r - 4*t = -123 + 323, 3*r = f*t + 107. Suppose 0 = -4*k - 16 + r. What is the remainder when k is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1 + 2201101011122?\nAnswer: 2201101011121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6318\/(-2592) + (-18)\/(-96).\nAnswer: -9\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 565889 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 14 and 938.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3698034425?\nAnswer: 5, 2621, 56437","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 2*a**3 - 45*a**2 + 217*a + 82. Give r(6).\nAnswer: 196","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3058 - 3062. Let m be (1\/(-2 + -1))\/((-95)\/30). What is the nearest to -1 in a, 2\/11, -2\/15, m?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1882, 1886, 1900, 1930, 1982?\nAnswer: 2062","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 41953\/6 + -2 + (-57)\/342?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -153, 17, 247, 531, 863, 1237, 1647?\n\"Answer: -h**3 + 36*h**2 + 69*h - 257","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 20379 - 4?\nAnswer: 20375","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-3 + 5)*-1*250\/(-100). Let q(x) = x**3 + 7*x**2 - 6. Let k be q(-7). Let s be 3\/k*2*-5. Calculate the greatest common factor of s and g.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4\/6 + 12\/9. Let z = -7 - -11. Calculate the highest common divisor of g and z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -30 + 69. Does 13 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -9*a - 2. Is 42 a factor of q(-11)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15043 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: -95 divided by -50\nAnswer: 19\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5330)\/(-1230) + (-62)\/6 - (0 - -6)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 20\/70 + (-1 - (-52)\/14). Suppose p*v = -v + 8. Solve -3*n - 4*b + v = -14, -8 = 2*n - 2*b for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 55*y**2 + 93*y + 1333. List the prime factors of j(-16).\nAnswer: 5, 557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -201201 + -12312?\nAnswer: -220113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6\/533969 or 1?\nAnswer: -6\/533969","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 20 - 2*o**2 + 68 - 20 - 2*o**2 + 56 to s*o**2 + x*o + n and give s.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**2 - 191*c - 386.\nAnswer: (c - 193)*(c + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2 - -18?\nAnswer: 1a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 211 - 122. Suppose 66*i - 984 = 1830 - 834. Calculate the remainder when m is divided by i.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -22596 and -0.1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 21\/5227 and 51\/41816.\nAnswer: 41816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide 49 by 11649.\nAnswer: 49\/11649","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 6909970 to the nearest 100000.\nAnswer: 6900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2457*h**2 + 2382*h**2 - 5029*h**2.\nAnswer: -190*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -21321*l. Let h(v) = 5476*v**2. Give o(h(u)).\nAnswer: -116753796*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 487 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -2963475 divided by 11?\nAnswer: -2963475\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 5*c + 27 = w, -2*c - 21 = -5*w. Solve 2*o + 5*g = -1 + 16, -w*o + 4*g - 12 = 0 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) be the third derivative of 0 + 0*i**3 - 1\/30*i**6 - 3\/2*i**4 - 2\/5*i**5 - 9*i**2 + 0*i. Factor b(x).\nAnswer: -4*x*(x + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is r in -10*r - 40*r**2 + 468*r**5 - 942*r**5 - 5*r**3 + 5 - 5*r**3 + 494*r**5 + 35*r**4 = 0?\nAnswer: -1, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 b when four letters picked without replacement from sbbbbsssbs.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = t**2 + 8*t + 4. Let i be w(-8). Let r be ((-1 - 0) + (1725\/(-135) - -14))*-9. Sort 2, 5, r, i in descending order.\nAnswer: 5, i, 2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (15 + -13 + -33 - -12) + 12\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19787.\nAnswer: 47, 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -64 divided by -8?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 84\/33 + 3\/6 and -43\/2?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*j - 0*j - 15, -4*d + 4*j + 28 = 0. Let y = -1.5526 - -0.5526. Let a = -2.03 + 0.03. What is the closest to a in y, 0.4, d?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 14040*m**2 + 3*m + 1934?\nAnswer: 28080","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y - 17 = x, 4*x + x - 4*y = 35 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 9 - 7. Suppose -f*g + 10 = -0*g. Suppose 0 = -g*d - 2*o + 326, 2*o + 244 = 4*d - 2*o. Does 18 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 542474?\nAnswer: 2, 29, 47, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 29 - -1. Suppose v = 3*b - b. List the prime factors of b.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 6\/5 of a litre?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1 - 201?\nAnswer: -202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 385.6 - 407. Let j = r + 21.40000458. What is j rounded to six dps?\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.4233 + -0.3603. Which is the second smallest value? (a) -2\/11 (b) -4 (c) y (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 653*f + 5*f**3 - 382 + 382 - 653*f.\nAnswer: 5*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 5093041321 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -292 + 642. Let z = h - 193. What is the units digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1814 - 1813 - 23*p - 11*p)*(0 + 1 - 3).\nAnswer: 68*p - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/125 in -908\/3, -2\/5, 12?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Do -184305072 and -184305073 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 45*l**2*n*s**2 - 34*l**2*s - 6*l*n + 98*l*s**2 + 785*n*s**2 wrt n.\nAnswer: 45*l**2*s**2 - 6*l + 785*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -343 - -369. Suppose -5*n + 5*g - 2 - 13 = 0, -3*g - 21 = 2*n. What is the remainder when 2 + n - (0 + l)\/(-2) is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 226426 is divided by 2287?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 205033509*s - 102516759*s - 102516751*s.\nAnswer: -s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -o**3 + 5*o**2 + 3*o - 3. Calculate the remainder when 35 is divided by u(5).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1189006 is divided by 102?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 39852 and 801468.\nAnswer: 4428","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/c**(-1)*(c\/(c\/(c*c*c\/(c\/c**(-1\/12))*c*c)))\/c)**7*(c**(3\/2)\/(c\/c**(-10)))**(2\/91) assuming c is positive.\nAnswer: c**(37355\/1092)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -27 + (-9 - (-20 + 9)) + 15\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/8 of a milligram in micrograms?\nAnswer: 3125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 279*i - 2 - 97*i - 88*i + 2 - 91*i.\nAnswer: 3*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(6\/5)*a**(-8)*(a\/(a\/(a**2\/a)))**50 assuming a is positive.\nAnswer: a**(216\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = y**2 - 14*y + 12. Let x be l(12). Let k be 501\/x - 2\/8. Let b be ((-28)\/k)\/(4\/(-258)). Round b to the nearest 10.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-1224)\/18)\/68)\/((-4)\/260).\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = y**2 + 10*y - 14. Determine t(-12).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3216 + -3215. What is the nearest to q in -1\/6, 1, -2\/79?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 855 = 945. What is the greatest common factor of 306 and i?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1226295 is divided by 186.\nAnswer: 183","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 14 - 17. Is (-658)\/6*(u + 0) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -1507*d + 13843. Determine x(9).\nAnswer: 280","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) be the second derivative of v**4 + 6*v. Let y(f) = -68 + f + 68 + 2*f. What is o(y(w))?\nAnswer: 108*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -62 divided by -40.\nAnswer: 31\/20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = w. Let y(d) = 47*d**2 - 104*d. Calculate m(y(x)).\nAnswer: 47*x**2 - 104*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:13 AM and 7:38 PM?\nAnswer: 685","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -88*t**5 - t**4 + t**2?\nAnswer: -5280*t**2 - 24*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 - -3 - (-3)\/(-15)*5?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: ((30\/(-42))\/(-1))\/(2\/7)\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 956 divide 3780024?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -27757045*c**5*j + 657980*c**2*j - 21*j wrt c.\nAnswer: -1665422700*c**2*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = n**3 + 11*n**2 + 5*n. Suppose 9*y - 4*y + 2*l = -49, -l + 47 = -4*y. Determine m(y).\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -s**3 - 66*s**2 + 67*s + 4. Determine r(-67).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 74206174*z**2 - 20*z + 1741838 wrt z.\nAnswer: 148412348","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(45)\/sqrt(5)*1 + sqrt(9))\/sqrt(3).\nAnswer: 2*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 32.326+-6648\nAnswer: -6615.674","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = -4*b + 11. Suppose b*z - 8*z = -144. What are the prime factors of z?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3344, 5863, 8380, 10895, 13408, 15919?\nAnswer: 18428","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -13 - -7. Let b = 6 - 2. Let j = n + b. Let r(g) = -2*g + 2. Determine r(j).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x + 5*x + 3*r = 19, -5*x + 31 = -3*r. Suppose -2*g + 0*g = 3*k - 189, -5*k + 465 = x*g. What is the smallest common multiple of g and 4?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 2, v: 3, h: 2, u: 3, n: 4, y: 4}. Give prob of picking 1 n and 1 h.\nAnswer: 8\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(2\/29))**(43\/3)\/((q**(-2\/9)\/q)\/q)**12 assuming q is positive.\nAnswer: q**(802\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) be the second derivative of -21*f**4\/4 + 3*f - 37. Let w(y) = 28*y**2. Give w(i(p)).\nAnswer: 111132*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/35 smaller than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = h + 1371. Let l(q) = -9*q - 10. Determine l(o) + y(o).\nAnswer: -8*o + 1361","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2344.7 + 2346.7. What is the third smallest value in 0.033, -32, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 16 and 176?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 208857 is divided by 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 61 - 90. Let d = -24 - n. Which is the biggest value? (a) d (b) -2\/3 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -z**2 - 282*z - 1995. Determine d(-7).\nAnswer: -70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-65)\/1)\/(8\/(-24)). Suppose -2*s = -7*s + 5, 0 = 3*j - 3*s - y. Calculate the highest common divisor of j and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 378379251 to the power of 1\/3, to the nearest integer?\nAnswer: 723","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -417\/2488 - -54781\/103252. Let p = v - -1\/83. Are p and 1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -2*v + 6. Suppose -2*o - 8 = 2*a, 2*a - o - 7 = -6*o. Is l(a) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -12*f + 24 + 30. Calculate the lowest common multiple of (0 - (-2)\/2) + 8 and f.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) be the third derivative of 6*v**5\/5 + 49*v**3\/6 + 14*v**2 - 1. What is the derivative of j(d) wrt d?\nAnswer: 144*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -89*j - 3141. Let u(a) = 60*a + 3139. Calculate 2*t(b) + 3*u(b).\nAnswer: 2*b + 3135","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) be the first derivative of -v**4\/3 + 2*v**2 - 3*v + 4. Let j(g) be the first derivative of k(g). Find the first derivative of j(u) wrt u.\nAnswer: -8*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) be the first derivative of -k**3\/3 - 11*k**2 + 15*k - 14. Let c be q(-22). Suppose -7 + c = v. What is the lowest common multiple of v and 18?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 5*x**3 - 13*x**2 + 636*x - 3799. What is l(6)?\nAnswer: 629","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (-80)\/(-15) + 1 + 32\/(-24)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 9590 and 140?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 a when three letters picked without replacement from raaaaerr.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -30 (base 5) to base 6.\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) 2 (b) 2\/3 (c) 4 (d) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*k + 3*k - 4*k + (k - 1 + 1)*(5 - 5 + 9) + 5*k + 0*k - 4*k.\nAnswer: 13*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 3*f**2 - 9*f - 9. Let g = -103 - -109. What is the remainder when z(g) is divided by 29?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*h - 28*h - 1122 = 0. What is the lowest common multiple of (h\/(-143))\/(-3) - (-132)\/13 and 4 - (-1 - (-2)\/2)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -3 - 2*(-4)\/8. Let s be 2\/(-4)*4\/(-1). What is the third biggest value in s, w, 3?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 178*c**2 - 2460 + 2432 - 74*c + c**3 + 75*c in the form w + g*c + j*c**3 + m*c**2 and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -60390 and -8812143811?\nAnswer: 8812083421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 3*r**3 - 4*r**2 - 21*r + 4. Let k(m) = -8*m**3 + 11*m**2 + 64*m - 11. Calculate 4*k(o) + 11*y(o).\nAnswer: o**3 + 25*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 998406?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that 4*l**4\/3 - 153896*l**3\/3 + 2461312*l**2\/3 = 0.\nAnswer: 0, 16, 38458","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 62608 and 364?\nAnswer: 62608","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 3*u - 2*u + 0*u + 0*u - 6. Let x be h(5). Let y = x - -4. List the prime factors of y.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9776.985 nanoseconds in seconds?\nAnswer: 0.000009776985","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -17*v + 4. Let j be f(4). Let k be j\/(-330) + (-14)\/105. Let p(z) = z**3 - 7*z**2 + 7*z - 5. Let m be p(6). Which is smaller: k or m?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -j - l - 4511 + 4523, 0 = -3*j + 4*l + 43 for j.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 7669?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/(-2)*21\/((-105)\/20). Suppose -12 = a - 46. Let d = a - g. What is the tens digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*m**2 - 15 + 15.\nAnswer: -9*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -0.09, 5, 1?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0*h - h - 2*h)*(0 + 5 - 4) + 2*h - 2*h + 2*h)*(-3*h**4 + 13*h**4 + 0*h**4).\nAnswer: -10*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + 52*o = 55*o + 140, 3*o - 35 = -w. Which is the second smallest value? (a) -3\/4 (b) 0.4 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -66 (base 8) to base 6.\nAnswer: -130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) be the first derivative of g**4\/4 + 4*g**3\/3 + g**2\/2 - 4*g + 574. Calculate u(-2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -22 - -22. Solve s = -y + 5*k + 5, -4*y - 2*k = -11 - 9 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.34 - 0.04. Let p = 2 + -5\/2. Sort -2\/11, m, p in descending order.\nAnswer: m, -2\/11, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 15 - 11. Let n(b) = 600000*b**2 + b - 4. Let m be n(i). What is m rounded to the nearest 1000000?\nAnswer: 10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 148 minutes after 1:57 PM?\nAnswer: 4:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -74*m + 4. Let z be u(-2). Suppose -4*c + 268 = n, -c - z = -3*c - 5*n. What are the prime factors of (c\/(-15))\/((-3)\/15)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 4*a**2 - 25*a - 5. Let q be l(6). Let j = q - -160. Is j a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 4.476018km?\nAnswer: 4476.018","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23822 is divided by 11?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 319 or 388?\nAnswer: 388","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*i + 1004 = 250. What is the units digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -d**2. Let s(z) = 10*z - 432. Let i(l) = 96 + 2*l - 30 - 69 - 84. Let y(o) = -11*i(o) + 2*s(o). Determine y(m(f)).\nAnswer: 2*f**2 + 93","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 72692.\nAnswer: 2, 17, 1069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 20975 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/(-21))\/((-77)\/(32340\/90)).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 679*i - 101. List the prime factors of x(8).\nAnswer: 3, 1777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(3*-3*sqrt(156) + sqrt(156))\/(sqrt(588)*-6)*-3 + 3.\nAnswer: -4*sqrt(13)\/7 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:39 PM and 8:00 PM?\nAnswer: 141","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -67*d**2. Let t(j) = -7*j + 0*j + 0*j + 8*j - 7*j. Give t(q(l)).\nAnswer: 402*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1523*p**2 + 1462375 - 1462375)*(2*p**2 + p + 2*p - 5*p).\nAnswer: -3046*p**4 + 3046*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1853199 divided by 501?\nAnswer: 3699","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -5*c - x - 20, x = 4*c + 14. Let p(f) = -5*f - 6. Let k be p(c). Solve 5*v + 4 - k = 0 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-82*x + 1349 - 1349)*(-7 + 3 - 4) as t + m*x and give m.\nAnswer: 656","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 58 - 58. Let i(v) be the second derivative of v**3\/3 + 89*v**2\/2 + 4*v. List the prime factors of i(r).\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -2*y - 0*y - d, -4*y - 5*d = 39. Let o be -6 - y - (-6 + 1). Solve -o*x = -1 + 11 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 183*(4\/(-24)*7)\/(84\/24).\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0978 times -3?\nAnswer: -0.2934","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-8)\/6*4\/(24\/(-27)). Let p(o) = o**3 + 15*o**2 + 15. Let t be p(-15). Let h(s) = 2*s - 5. Let f be h(4). Solve u*l - t = f*l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2\/(-1)*50\/4. Let h = q - -41. What are the prime factors of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(600))\/(sqrt(2)*1*5).\nAnswer: 2*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 77\/38 and 79\/28.\nAnswer: 532","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -o**2 + 5*o + 7. Let f be g(6). Let t(i) = -6*i**2 - i + 1. Give t(f).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 330.\nAnswer: 2, 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3 - (-1 + 2 - 3). Let n = m - 2. List the prime factors of n.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -105\/104 and -25\/91.\nAnswer: 728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -10212026 + 104?\nAnswer: -10211722","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = m**2 + 6*m - 14. Let c be b(-8). Suppose -c = u - 6. Suppose 2*l + 228 = 5*x, 3*x = -x - u*l + 188. List the prime factors of x.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*i = 12*i + 24. Let m = 4 - 7. Let v = m + 3.5. Sort 1\/6, v, i in ascending order.\nAnswer: 1\/6, v, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aioo when four letters picked without replacement from ooaiiiooioioaiooia?\nAnswer: 49\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 18.97 times -16.58?\nAnswer: -314.5226","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) be the third derivative of t**4\/8 + t**3\/3 - 34*t**2. What are the prime factors of q(6)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -3*w + 6. Let b be o(1). Suppose 5*z - 4 = 4*x, 3*x - 1 = z + 4*x. Sort -25, z, b in increasing order.\nAnswer: -25, z, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor r**3 + 3514*r**2 + 2934169*r - 271857684.\nAnswer: (r - 84)*(r + 1799)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -150 + 150. Let r(y) be the second derivative of -1\/6*y**3 + n - 1\/4*y**5 + 0*y**2 - 2*y + 0*y**4. What is the second derivative of r(h) wrt h?\nAnswer: -30*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -5*n + 1. Let j(b) = -b - 1. Let f(m) = 4*j(m) - o(m). Suppose 2*l = -i - 11, -3*l - 13*i + 9*i = 24. Give f(l).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 + 1 = -4*v + 3*b, -v - 2*b = 5. What is the hundreds digit of -5 - (-112 + v)*1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*((-19536)\/(-6424))\/111?\nAnswer: 2\/73","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-14)\/(-18))\/((-2)\/(-18)). Suppose 0 = -z*d + 1433 + 331. Is d a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(2\/39)*q**(-2\/61)*(q**9*q)**(-5\/11) assuming q is positive.\nAnswer: q**(-118466\/26169)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 50 + -39 - (1 - -11).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = 2, -9*x + 124 = -4*x - g. Let p be (-2)\/6 + (-44)\/3. Let c = p + x. What is the units digit of c?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(68)*-2*4)\/sqrt(4)*3 + sqrt(170)\/(sqrt(10)*3) + (0 + sqrt(612))**2.\nAnswer: -71*sqrt(17)\/3 + 612","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) be the third derivative of 56*p**7\/15 - p**5\/60 - 1289*p**3\/6 + 124*p**2 + 2. What is the third derivative of j(n) wrt n?\nAnswer: 18816*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 q and 1 x when four letters picked without replacement from xqxqqqx.\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pxonxxxmpx. What is prob of picking 1 x, 1 n, and 1 p?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 48456 and 34380.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1216 = 107*h - 360 for h.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -131*x**3 - 9*x**2 - 6*x. Let j(p) = -121*p**3 - 10*p**2 - 7*p. Calculate 6*j(r) - 7*l(r).\nAnswer: 191*r**3 + 3*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) be the third derivative of -c**4\/12 - c**3\/3 + 4*c**2. Let p(t) = -2 - 154*t - 151*t + 304*t. Calculate -3*p(k) + 2*v(k).\nAnswer: -k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -h - 8827*h**2 - 8841*h**2 - 8960*h**2 - 8829*h**2 + 44272*h**2 - 8841*h**2.\nAnswer: -26*h**2 - h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -4*p - 4. Determine t(-3).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/5, 2, 3\/2, -41813, 44?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4 + 0 - -1) + (-25 - -33).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/2*25\/((-875)\/(-10)).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 54 divide 13328?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o**2 - 7614957*o + 7614958 = 0 for o.\nAnswer: -7614958, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 229 (b) 16\/7 (c) -2\/9 (d) 68\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 172349 + -104464. What is the thousands digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.1 and 38.65?\nAnswer: -3.865","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 21\/8576 and 69\/2144?\nAnswer: 8576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 7*s + 1. Let t(w) = 38*w - 2. Let d(q) = 6*k(q) - t(q). Let f(a) = 5*a + 9. Calculate -6*d(p) + 5*f(p).\nAnswer: p - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/(-2) + -5 + 9. Let w be (18\/(-36))\/(g\/(-2)). Sort w, 0.1, 2.\nAnswer: 0.1, w, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6 + -4. Let x(p) = g*p**3 + 2*p - 3*p - 6*p**3 - 4*p**2 + 3*p**2. Let w = 2 + -3. Give x(w).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = -2*r + 39, -4*b = -r + 15 + 7. Let f be 399\/19 - 19 - (1 + -1). What is the greatest common divisor of f and r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 607.7203 litres?\nAnswer: 607720.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6 + 2. Let t = 3.7 - 3.8. Which is the nearest to t? (a) 5 (b) p (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4212665 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 14618621?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 760 and 120.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 + 4 + -3 + -5.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 - 6*z**3 - 3*z**3 + 0 - 114*z**2 + 123*z**2 in the form x*z + v*z**3 + r + s*z**2 and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + (43*48\/468 - 4\/(-6))?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 955*o**2 + 183*o**2 - 393*o**2 - 2359 + 2351*o**2 wrt o.\nAnswer: 6192*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.5 and 27.2.\nAnswer: 13.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -65 - -6?\nAnswer: -5a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -4.9917 to one dp.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3 - 3. Let b = 1.18 - 0.18. What is the closest to 1 in 3, b, l?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -604 + 880. Suppose -9*w - b = -5*w. Let f be (-16)\/(-3) + 23\/w. Solve -4*r = -f*s - 15, -2*s - 9 = -r - 6*s for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 203 (base 9) to base 10.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + (-84)\/18 + 174\/(-36) + 7.\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (2\/6)\/(9\/((-108)\/6))\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/10 of a litre in millilitres?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -7034725, -14069483, -21104241?\n\"Answer: -7034758*w + 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2\/9 (b) -5 (c) 131\/3 (d) 0.14 (e) 6\/11 (f) -6\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 51 and 51.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -39774294*h**3 - 4*h**2 - 292*h + 3617 wrt h.\nAnswer: -238645764","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 7667 to the power of 1\/3, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 684259 or 684231?\nAnswer: 684259","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in -0.2, -0.3, -1, -3\/7?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 579054?\nAnswer: 2, 3, 7, 17, 811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = 2*c - 12, -5*c + 2*r + 2 = -0*c. Suppose 0*k = 5*k. Is k equal to c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4828974*k**2 - 3976860*k.\nAnswer: -9657948","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a = 4*s - 18 - 14, -11 = -s + 2*a for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 136*p + 1496. Let a be g(-11). Solve -4*h - 3*v + 20 = a, -h + 27 = v + 21 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1178746779.\nAnswer: 3, 7, 6691, 8389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -2 + 2 - (-6554)\/(-12). Let z = r - -548. What is the common denominator of 10\/11 and z?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -137 + 137. Suppose a + w*r - 4*r = 7, -5*a = -r + 22. Let x(c) = 4*c**2 - 2*c - 4. Let p(q) = q**2 - 1. What is a*p(s) + x(s)?\nAnswer: -s**2 - 2*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 99093 at least as big as 99162?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.1, 0, -5, 3, 16.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 84714?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 56.85367 nanoseconds to seconds.\nAnswer: 0.00000005685367","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -110+-106.8096758272\nAnswer: -216.8096758272","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2.9 + -0.05. Let j = 0.15 + l. What is the nearest to 1 in 0.5, -0.07, j?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - (-9 - (-3 - -5)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(((-1*sqrt(180))**2 - sqrt(180)) + sqrt(180)).\nAnswer: 540","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5*a**2*g**2 - 12*a**2 - a*g**3 + g**3 - 155*g**2 with respect to a.\nAnswer: -10*a*g**2 - 24*a - g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 752?\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 886 + -887. Let y = 2.52 + -0.54. Let f = y - 2. Which is the closest to s? (a) -4 (b) 5 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 53*y**3 - 21*y**2 + 4*y - 10. Let j(q) = 158*q**3 - 62*q**2 + 11*q - 28. Let w(k) = -11*c(k) + 4*j(k). Find the third derivative of w(s) wrt s.\nAnswer: 294","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -14605, -29214, -43827, -58444, -73065?\n\"Answer: -2*b**2 - 14603*b","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + s + 259 = 5*z, 3*s = z - 44. Is z a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2633 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -6 + 3 - (-6 + 7)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -1\/35220 and 73\/20.\nAnswer: 35220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x = 4*c + 2, 4*c + 3 = -2*x - 13 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(-5))\/(-3*(-28)\/(-35))?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7 - 5. Suppose 27 = -z + 5*x, 0 = -4*z + r*z - 4*x + 16. Sort 0, 2, z in ascending order.\nAnswer: z, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 0.4, 378.8 in ascending order.\nAnswer: 0.4, 1, 378.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -27*-2*2\/12. Suppose -v*f + 10 = -7*f. What is the third derivative of 4*n**4 - 8*n**2 - f*n**4 - 10*n**4 wrt n?\nAnswer: -264*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 21 = -3*r, 3*r - 3*y = -4*y + 41. Is 12 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 79\/147420 and 53\/779220?\nAnswer: 5454540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = q**3 + 4*q**2 - 7*q - 2. Suppose 2*m + 4 = 0, -m + 32 = b + 3*m. Suppose 0 = -3*o + 3*s, -4*o + 0*s - b = 4*s. What is r(o)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 543 is divided by 42.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2992 and 520056724?\nAnswer: 748","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 265825 times -0.22?\nAnswer: -58481.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w, 1 o, and 2 m when four letters picked without replacement from {w: 1, h: 3, l: 3, o: 6, d: 1, m: 5}.\nAnswer: 5\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1280285238.\nAnswer: 2, 3, 239, 251, 3557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -4, -230, -1, -18, 15, 6 in descending order.\nAnswer: 15, 6, -1, -2, -4, -18, -230","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 817915564 to the nearest integer?\nAnswer: 28599","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 102273, 204518, 306763, 409008, 511253?\n\"Answer: 102245*b + 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = f + 2. Let d be u(2). Let w be (-1)\/d + 39\/12. Is 3\/2 less than w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) be the first derivative of 9\/2*m**2 + 8 - 6*m. Let h be z(3). Solve 3*v + 4*c = -h, -v + 2*c = 5*c + 12 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -136 - -191. Let g = p + -55.1. Let d = 0.1 - 0.1. What is the closest to g in -4, d, -0.5?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 25\/8241 and 31\/12.\nAnswer: 32964","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -35 in -5\/2, -0.5, 2, 45, -16?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.001148287805 to 4 dps.\nAnswer: -0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-3)\/(-2))\/(6\/(-8)). Let x be (0 - 0)*(m + 3). Solve 2*y + 4*o = 2, -y + x*o = -5*o - 8 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1\/6, 1\/2, 30\/67?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 215 + 372?\nAnswer: 607","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + 16 = -0*p. What is the units digit of ((-4)\/(-2))\/(p\/(-6))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3082\/5 + -4302647\/6980. Calculate the common denominator of p and 19\/8.\nAnswer: 2792","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) be the second derivative of -119*a**4\/12 + 30*a. Let o(v) = v**2. Calculate o(g(h)).\nAnswer: 14161*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1039156109 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 12 - 19 - 111\/(-15)\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10)\/9 - 3\/((-9)\/2).\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*y = 391 - 850. Solve 3 - y = -16*j for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 4576 and 0.2.\nAnswer: 915.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 44 + -36727?\nAnswer: -36663","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = 10 - 42. Let d(t) = t**2 - 9*t + 7. Let j be d(n). Is 14 + 0\/j + -1 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 37 - 33. Solve -4 = m*d + r - 15, -3*d + 3 = -r for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -683, -2739, -6193, -11045, -17295, -24943, -33989?\nAnswer: -44433","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*t + 7 + 5. Let g = 42 + t. List the prime factors of g.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0, 5, 118511, 3?\nAnswer: 118511","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -10.331 (b) -5 (c) -9 (d) -546\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 1 + 1)*(-3392*o**3 - 4897494 + 4897494)*(3*o + o - 2*o) to f*o + i*o**4 + s*o**3 + t*o**2 + d and give i.\nAnswer: -13568","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -c**2 + 7*c - 5. Let x = -101 + 168. Suppose -13*m = -x + 15. Calculate w(m).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 50 (base 15) in base 2?\nAnswer: 1001011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-1))**18)**(-49) assuming m is positive.\nAnswer: m**882","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*w + 3*k + 18, -4*w + 19 = 53*k - 56*k. Put -24, w, 4 in ascending order.\nAnswer: -24, w, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 17514782?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = a**3 + 16*a**2 - 128*a - 1883. Let n be p(-17). Let i(s) = 2*s**2 - 2*s - 2. Let y(f) = -3*f**2 + 3*f + 3. What is n*y(d) + 7*i(d)?\nAnswer: 2*d**2 - 2*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = x. Let t(v) = -6317*v. Determine t(h(g)).\nAnswer: -6317*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(6\/5)\/z**6*z**15\/((z*z\/((z\/((z*z**(1\/23)*z)\/z))\/z)*z)\/z) assuming z is positive.\nAnswer: z**(823\/115)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -231*t + 61. What is the thousands digit of w(-59)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 11 = 3*y - 2*m, -y - 3*m = -11. What is the tens digit of (0 - (-2)\/y) + 7980\/33?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*b - 35 + 11. Let n(s) = s**2 + 6*s + 3. Let i be n(b). Suppose 2*p + 3*r - 7 = -2*r, 0 = -i*p - 3*r + 15. What is the units digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*u**2 + 5*u**2 + 4*u**2 - 13*u**2.\nAnswer: -17*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 83804820215 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sum -14319 and -182851.\nAnswer: -197170","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1771 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -3*y**2 + y - 2. Let j be x(2). Let t be (2 - (-15)\/j)*-12. Let q = -1 - t. Calculate the smallest common multiple of q and 11.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(78) - (6*2*sqrt(78) - sqrt(78)))*-2)\/(1*sqrt(150) + -6*sqrt(96)).\nAnswer: -20*sqrt(13)\/19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 244248?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 11 + -21. Let v = 16 + g. Let b = -2 + v. What is the smallest value in -7, b, -4\/5?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 897 (base 15) in base 12?\nAnswer: 115a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 94364.57ms in microseconds?\nAnswer: 94364570","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 184399037117.6 - 104?\nAnswer: 184399037013.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 815481 or 815480?\nAnswer: 815481","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 6263 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -10383, -10384, -10385, -10386, -10387?\n\"Answer: -q - 10382","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (-312)\/468*((-20)\/23 - -1)\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Are 9\/5 and -1099 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-four fifths of a gram in milligrams?\nAnswer: 8800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 291790699 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9737 + 10088 = 13*m. What is the units digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1982836*a**2*n**5 - 3*a**2*n**2 + 25*a**2*n + 7655*n wrt n?\nAnswer: 39656720*a**2*n**3 - 6*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 9 and 33.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -589 + 585.11. Let o = w - -3.8687. What is o rounded to 3 dps?\nAnswer: -0.021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 4*j + 2)*(13 - 63 - 26 + 2*j).\nAnswer: 8*j**2 - 304*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 134022013 (base 5) to base 4.\nAnswer: 2220031300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -232*d**2 + 75*d + 31. Let i(r) = 58*r**2 - 19*r - 7. Calculate 2*g(j) + 9*i(j).\nAnswer: 58*j**2 - 21*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 693 minutes before 5:35 PM?\nAnswer: 6:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 5*v = 206500000. Round v to the nearest 1000000.\nAnswer: 30000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) be the first derivative of -15*d**2\/2 + 1. Let b(k) = -14*k + 2*k - 1 - 1 + 0 - 3. Let i(q) = -5*q - 2. Let s(f) = 2*b(f) - 5*i(f). What is z(s(u))?\nAnswer: -15*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7277 is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (-988*(-363)\/268983)\/(3*(-2)\/(-585))?\nAnswer: 130","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3631*n + 1209*n + 1222*n + 1208*n.\nAnswer: 8*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is l in -255*l**5\/2 - 1691*l**4\/4 + 12572*l**3 - 8443*l**2 + 1636*l - 96 = 0?\nAnswer: -12, 2\/17, 1\/6, 2\/5, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a millennium in years?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 7232002\/8*-5 - (-600)\/480. What is k rounded to the nearest 1000000?\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -294368, -588722, -883072, -1177418, -1471760?\n\"Answer: 2*f**2 - 294360*f - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3 - -7. Which is bigger: k or 0.2?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 14 (b) -0.5 (c) -813436\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 79\/31044 and 15\/1592?\nAnswer: 62088","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -2 times 213302219\nAnswer: -426604438","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 500?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2*1*(-216)\/(-27). Sort 4, 3, c in ascending order.\nAnswer: 3, 4, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 4349404, 4349405, 4349406?\n\"Answer: d + 4349403","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - 2*v + (-4*v + 3*v + 0*v)*(-3 - 1 + 6) + 3*v - 5*v + 0*v - 3*v - 13*v + 9*v)*(-2*v**2 + 18*v - 56 + 56).\nAnswer: 26*v**3 - 234*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y\/((y\/y**5)\/y)*y*y*y*y**(-20)*y*y assuming y is positive.\nAnswer: y**(-9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 70 - 67. Suppose 18 = -3*p - z*t, 3*p - 2*t - 3 = 4*p. Let c(q) = -9*q - 22. What is the units digit of c(p)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -476990, -476983, -476972, -476957?\n\"Answer: 2*h**2 + h - 476993","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = -5*k + 40, y + 2*k + 3*k + 10 = 0. Let o = 20 + y. List the prime factors of o.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2220 (base 3) to base 5\nAnswer: -303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -3*h - 9. Let o be y(-8). Suppose 7 - 3 = -2*q, -4*t - 4 = 2*q. Suppose 3*p - 4*p = t. Solve 3*i + k - 15 = p, -3*k = -5*i + o + 10 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24004112 a multiple of 44?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + ((sqrt(110)\/sqrt(44))\/sqrt(5) + -2 - ((1*3*sqrt(2))**2 + (sqrt(2) - (sqrt(8) + -3)))).\nAnswer: -19 + 3*sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 23757 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -p**2 - 12*p + 0*p**2 + 29*p + 74*p.\nAnswer: -p**2 + 91*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 474 + -22. Let i = -452 + o. Solve 32*p - 33*p - 4 = i for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + 2*sqrt(2448) + -1 + (sqrt(2448)*-1)**2.\nAnswer: 24*sqrt(17) + 2447","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 9, a: 2, e: 2, k: 2, g: 1, y: 4}. Give prob of picking 2 a.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -330641, -330505, -330369, -330233?\n\"Answer: 136*x - 330777","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 5*a + 21 = m, 3*a = -4*m - 15. Let w = 30 + m. Is 12980\/w + (-1)\/(-6) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 39 + -38. Suppose -6*x = 5*o - x - 70, 0 = 2*x + 2. Let s be 2\/6 - (-70)\/o. What is the third smallest value in u, s, -4?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (0 + -2)\/2 + 1. Let i = 23 + -17.4. Let m = i + -6.6. What is the smallest value in l, m, -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2.6 + -5. Let x = j + 2.7. Which is the closest to 0? (a) -1\/10 (b) x (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**10)**(1\/50)*n**(-1)*n**(-29) assuming n is positive.\nAnswer: n**(-149\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 times -13\nAnswer: -6.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -186, -455, -896, -1503, -2270, -3191, -4260, -5471?\nAnswer: -6818","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 27037\/46 + -1175\/2. Let f = n + -88\/161. Let z = -9311 + 9307. Put z, 0.2, f in ascending order.\nAnswer: z, f, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -35 + 7b754?\nAnswer: 7b71b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-45)\/(-60)*2\/36. Let x(d) be the third derivative of j*d**4 + 1\/60*d**5 + 2*d**2 + 0*d + 0 - 1\/3*d**3. Factor x(v).\nAnswer: (v - 1)*(v + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.070624 times 31.02\nAnswer: -2.19075648","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -771869, -771877, -771885, -771893, -771901, -771909?\nAnswer: -771917","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + 1 + 1 + 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1539 and 7011.\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 1, e: 9, o: 6, b: 3}. Give prob of sequence oexe.\nAnswer: 3\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0 + 0 - (-14)\/(-1). Is r greater than or equal to -15?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 32810099 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: Let h(u) = 2*u - 2*u - 10*u**2. Let s(g) = 6*g**2 + 16*g - 4. Let t(k) = 8*k**2 + 36*k - 9. Let i(m) = -9*s(m) + 4*t(m). What is h(i(y))?\nAnswer: -4840*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2\/(1\/32*4). Let h = u - -8. What is the tens digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.1272065055 to four decimal places.\nAnswer: -0.1272","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17937?\nAnswer: 3, 1993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 49408.27l to millilitres.\nAnswer: 49408270","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -35 - 140*k**2 + k - 13*k**3 + 3*k - 9*k**3.\nAnswer: -22*k**3 - 140*k**2 + 4*k - 35","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 620 divided by -3?\nAnswer: -620\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4*i**5 - i**4 - 53381*i**3 + 293336*i wrt i?\nAnswer: -80*i**3 - 12*i**2 - 320286*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 12947685 to the nearest integer?\nAnswer: 3598","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*j + 55*j - 19*j - 62*j - 150*j.\nAnswer: -171*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that 2*z**2\/9 + 500*z\/9 + 166\/3 = 0.\nAnswer: -249, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) be the first derivative of i**5\/180 + 29*i**4\/72 + 73*i**2\/2 - 42. Let k(y) be the second derivative of x(y). Factor k(t).\nAnswer: t*(t + 29)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*k - 18*k = -44*k + 102 for k.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) be the second derivative of 1\/40*b**5 + 0*b**2 + 0*b**4 + 1\/2*b**3 + b + 0. Let u(o) be the second derivative of y(o). Let h(c) = c. Calculate u(h(p)).\nAnswer: 3*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 18403 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: What is 585 plus 5?\nAnswer: 590","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 532848160?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:52 AM and 6:01 PM?\nAnswer: 669","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j = 5*d + 33, 5*d = 3*j + 3*d + 2 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + r + 6 - 11)*(-r + 1 - 1)*(0 - 11 + 6 + (-1 - 1 + 0)*(-2 + 2 + 2) - 3 + 1 + 0).\nAnswer: 11*r**2 - 44*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -69601*d + 69484*d + 13923 for d.\nAnswer: 119","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i**2\/7 - 504*i + 3530\/7 = 0. Calculate i.\nAnswer: -1765, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) be the first derivative of -3 + 7\/20*i**5 + i - 1\/12*i**4 + 1\/2*i**2 + 0*i**3. Let m(q) be the first derivative of n(q). Calculate m(1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 24, 34, 40, 36, 16, -26, -96?\nAnswer: -200","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -891 = -81*q + 405 for q.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.01? (a) 2\/19 (b) -0.4 (c) -1\/5 (d) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -t**3 - 18*t**2 - 12*t + 124. List the prime factors of x(-22).\nAnswer: 2, 7, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -14 - -3. Suppose 2*j + 0*j - 30 = 0. Let f = j + o. Solve 5*t = 5*a - 30, -f - 17 = 2*t - 5*a for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand p**2 - 5*p**2 + 2*p**2 - p + (-15*p - 12 + 12)*(-5*p + p + p).\nAnswer: 43*p**2 - p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -9285 at least -8814?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 13399 or 13391?\nAnswer: 13399","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.072 - 44862282?\nAnswer: -44862282.072","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = w**3 + 28*w**2 + 23*w - 105. Let t be u(-27). Solve 2*c = -2*f + 6, 5*f - 23*c - t = -24*c for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0 + 2. Suppose 0*d - 108 = -r*d. Suppose i - 5*x = 34 - 10, 3*i = -3*x + d. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 9402116038?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 165200 and 1204.\nAnswer: 7103600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 2, z: 1, d: 6, g: 1}. Give prob of sequence fd.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aiilimizizli. What is prob of sequence lm?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 91912705 is divided by 3286?\nAnswer: 3285","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - 5*j + 240 = 0. What is the remainder when 82 is divided by j?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2078 and 22?\nAnswer: 22858","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*o - 3*o + 4*c + 6, -3*o = c - 5. Suppose 0 = o*h + 3 - 43. Calculate the remainder when 58 is divided by h.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*v**2 + 2*v**2 + 2*v**2)*(-6 + 1 + 4) + (-1 - 5 + 1)*(11 + 1 + 2)*(15*v**2 - 4*v**2 + 5*v**2)*(1 + 0 + 3).\nAnswer: -4481*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2\/138839 - -416513\/277678. Factor -87*r - 2523\/2 - d*r**2.\nAnswer: -3*(r + 29)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0, 4, -3, 11, 3\/2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xxx when three letters picked without replacement from {g: 3, a: 3, x: 3, j: 3}.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (3\/6)\/((56\/192)\/(5\/(-4)))\nAnswer: -15\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6\/7 + 2*h + 10\/7*h**2 + 2\/7*h**3 = 0.\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 122 = 22*z - 252. Solve -2*j + 0*i + 3*i = -10, -z = j + 4*i for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-3 + (-16)\/(-5))\/((-24)\/15). Sort 3, 4\/3, -1, a.\nAnswer: -1, a, 4\/3, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/f**(-1))**5)**41 assuming f is positive.\nAnswer: f**410","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (((sqrt(143) + -2*sqrt(143)*-1 + sqrt(143) - sqrt(143))\/sqrt(11))**2 - (-2*sqrt(52)\/sqrt(4) + 0)) + 2.\nAnswer: 2*sqrt(13) + 114","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*u + 4*u - 4*u)*(12*u**4 + 17*u**2 - 41*u**2 + 25*u**2).\nAnswer: -24*u**5 - 2*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put together 592 and -71042.\nAnswer: -70450","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 150703105?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 4860823 - 4?\nAnswer: 486081b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is o in 35*o**2 - 16 - 76*o**2 - 112*o**4 + 138*o**2 + 139*o**2 - 108*o**3 = 0?\nAnswer: -2, -1\/4, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 23*d**2 - 4*d**2 - 17*d**4 + 15*d**4 wrt d?\nAnswer: -48*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -61.2 - -61. Sort y, -3\/4, -3, -1.\nAnswer: -3, -1, -3\/4, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 188, -2548, 6 in decreasing order.\nAnswer: 188, 6, -3, -2548","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 5*v - 76 = 0, -3*r = -0*r - 3*v - 135. Let y = r + -24. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -5*i**3 + i**2 - 46. Suppose l - 5*j + 1 = 0, -2240*j - 4 = -2238*j. Let b(y) = y**3 + 9. Give l*b(u) - 2*k(u).\nAnswer: -u**3 - 2*u**2 - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.06 - 2.94. Let p = -0.0434 - -0.1434. Let x = 2.8 - -0.2. Which is the closest to p? (a) i (b) x (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 5390, 5357, 5304, 5231, 5138, 5025, 4892?\n\"Answer: -10*g**2 - 3*g + 5403","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -16*y**3 - 3*y**2 - y. Let r be m(-1). Let k(s) = -s**3 + 15*s**2 - 13*s - 20. Determine k(r).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 7 and 6809.\nAnswer: 47663","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-172)\/90*(-2)\/19. Let b = -2\/95 - o. Let j = -51 - -51.1. Which is greater: j or b?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -3*b**2 + 4*b - 5. Let r(j) = -2*j**2 + 2*j - 3. Suppose 4*s + 2*u + 1 = 27, 2*s + 7 = 3*u. Give s*p(f) - 7*r(f).\nAnswer: 2*f**2 + 2*f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -729291031339 + 729291031339 - 107*i.\nAnswer: -107*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 139818.5+-61380.599\nAnswer: 78437.901","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 420?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -g + 8. Let a be p(-12). Let d be 4\/((-16)\/a) + 0. Let k be 16\/20*d\/(-2). Solve 2*l + k*y + 3*y = -21, 5*y = -15 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 174*h**3 - 181*h**3 - 287*h**3 - 167*h**3 - 551*h**3.\nAnswer: -1012*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(176) + sqrt(176) + sqrt(1100) + 3)**2.\nAnswer: 108*sqrt(11) + 3573","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -247\/3 - -82. Let r = 111\/2 - 56. Which is the second smallest value? (a) -3 (b) 2\/3 (c) r (d) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 677917235 to the power of 1\/3, to the nearest integer?\nAnswer: 878","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10598887?\nAnswer: 13, 53, 15383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) be the third derivative of 0*o**3 + 1\/60*o**6 + 0 - 7\/8*o**4 - 41\/60*o**5 - 6*o**2 + 0*o. Let m be c(21). Solve 4*b - 3*b + 4 = m for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1206 + 729. Let s = l + 473. Let h = 0 + 0.1. Which is the closest to h? (a) -2 (b) s (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hqq. Give prob of sequence qhq.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -3123 * 0.4\nAnswer: -1249.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -46 - -47. Solve g = -4 + b for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 37+-23549.599\nAnswer: -23512.599","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mkd when three letters picked without replacement from {d: 2, y: 2, w: 1, k: 1, g: 1, m: 1}.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1196 is divided by 109?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -x**2 - x + 1. Let k(a) = -4*a**3 + 7*a**2 + 10*a - 8. Let v(w) = -k(w) - 2*y(w). Let z = -500 - -505. Is v(z) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 0.1, -1\/3, 0.08, -0.11, -2.\nAnswer: -2, -1\/3, -0.11, 0.08, 0.1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -174191 + 174197. Let w(k) = 5*k - 10. Let q(h) = -h + 2. Let r(b) = 11*q(b) + 2*w(b). Give r(p).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 134971330 a multiple of 389?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 20\/21 + (-2)\/3. Let r be (2 + 5\/(-75)*28)\/(-1). Which is the closest to f? (a) r (b) -1 (c) -2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 65595, 131191, 196787, 262383?\nAnswer: 327979","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 29\/2 of a day?\nAnswer: 348","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2336?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*o**2 - 5*o**3 + o + 4*o - 153 - 5*o + 3*o**3 in the form m*o + b*o**3 + f + s*o**2 and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -9 - -9.2. Let p = -1.4 + 0.8. Let a = p + m. Put 1\/6, -2, a in decreasing order.\nAnswer: 1\/6, a, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - -14 - (0 - -5 - -2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = 0, -4*h + 1 = -4*j - 31. Let b = 13 - h. What is the second smallest value in -2\/11, b, -3?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 3*d**2 - 6*d - 2. Calculate m(3).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 53666492 is divided by 1341662.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -146 = -2*b - x, 4*b + 8*x = 10*x + 284. Suppose 7*l = 3*l + 132. Let v = b - l. What is the highest common factor of 26 and v?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(1\/6)*k\/k**(4\/9)*(k*k**(-2\/5))**32 assuming k is positive.\nAnswer: k**(1793\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2211 = -10*f + 5*f + 2311 for f.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -7*c + 11. Let b be 2\/(-4)*-2 - 1. Let q be 0 - (b\/(-3))\/1. Let l = 9 + q. Let y(j) = -3*j + 5. Calculate l*y(k) - 4*g(k).\nAnswer: k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wpwppwppwwpwp. What is prob of picking 4 w?\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -14*s - 3093 - 3067. Let l = -439 - s. Let k(w) = -22*w**2. Determine k(l).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -9, 4, 3, -15?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 27*q**3 + 5*q**2 - 5*q + 2. Let g(r) = -55*r**3 - 11*r**2 + 11*r - 5. Determine 2*g(c) + 5*y(c).\nAnswer: 25*c**3 + 3*c**2 - 3*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 179 by 35.\nAnswer: 179\/35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 73\/4 of a milligram?\nAnswer: 18250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -488 by -122.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -m**3 - 10*m**2 - 118*m - 767. What is t(-8)?\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3947 + 4755. What is the hundreds digit of x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -v**3 + 55*v**2 - 449*v + 899. Determine r(46).\nAnswer: -711","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 1, i: 1, l: 7}. Give prob of picking 1 i and 1 l.\nAnswer: 7\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -5*g**2 + 321*g + 4046. What is h(75)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -228 or -238?\nAnswer: -238","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 207 minutes after 4:44 PM?\nAnswer: 8:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 78 divide 445438?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -1, -50, -48, 4 in descending order.\nAnswer: 4, 0, -1, -48, -50","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -210372 = -49*y - 211646 for y.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 997874359.\nAnswer: 41, 79, 308081","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 56*h**2 + 386*h. Let q(o) = 5*o**2 + 35*o. Let j(y) = -68*q(y) + 6*w(y). Find l such that j(l) = 0.\nAnswer: -16, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 11cb - -54440?\nAnswer: 5563b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -33*p - 4. Let n be r(-3). Let z be (4 - 0) + (38 - 3 - 1). Calculate the greatest common factor of n and z.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 47, -11\/7, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 13\/4 of a decade?\nAnswer: 390","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 91 divide 14290936?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41 - 57 = -4*f for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 251012*o**3 - 112955392*o**2 + 12707478900*o + 405000.\nAnswer: 4*(o - 225)**2*(62753*o + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 4 - 8*m - 9*m + m**3 + 17*m. Let l be f(0). Suppose 20 + l = 2*d. What is the remainder when 18 is divided by d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -9 + 197b4a4?\nAnswer: 197b49b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -u**2 - 2*u - 2. What is d(-2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 96\/16*(-1)\/(-4)*24\/(-18).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 1, d: 6, y: 1, o: 5, c: 3, h: 3}. Give prob of sequence yoh.\nAnswer: 5\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3.36, -5, 1\/3?\nAnswer: 3.36","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 842490 is divided by 1889.\nAnswer: 1885","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1060 - -1061. Let d = 112\/159 + -2\/53. Which is the closest to -0.2? (a) d (b) 0 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 2*r - 8. Let v be f(4). Let y be (7 + -3)\/4*v. Solve y = -0*x + 2*x - 8 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*i + 6, 187*b - 4*i = 185*b - 18 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a**3\/7 + 12*a**2\/7 = 0.\nAnswer: 0, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = v**2 + 8*v - 62. What is q(-11)?\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = u + 2*u. Let q be 2\/7 + (-33)\/u. Suppose -q = -g - 3*r, -15 - 2 = -2*g + r. Solve -2*y - 1 = h - g, -5*y = -h for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 8 - 13. Suppose -7*p = -3*s - 6*p + 12, 5*p + 27 = 4*s. Put 1, s, k, 10 in descending order.\nAnswer: 10, s, 1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 12945311 and 4287?\nAnswer: 1429","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*w - w + 2*w)*(-334052*w**2 - 27 - 12*w + 13*w + 334055*w**2) to the form r*w**2 + o + q*w + y*w**3 and give y.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 4*j = -3*k - 17, -2*j = 2*k - 10. What is the highest common factor of k and 9?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 0, 11, 30, 51, 68, 75?\nAnswer: 66","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 25550253 and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.04118651337 to six decimal places.\nAnswer: 0.041187","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1140 is divided by 563.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 101 a factor of 202?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -258 = 3*o - 6*o - 2*k, 2*k + 94 = o. Suppose 654 + o = -14*s. Which is bigger: s or -51?\nAnswer: -51","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3*160\/(-648))\/((1\/(-6))\/(13\/52)).\nAnswer: -10\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 3 l when four letters picked without replacement from {m: 6, r: 2, l: 3, v: 1, s: 1}?\nAnswer: 2\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 3425 divided by 1?\nAnswer: 3425","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 26\/5 of a milligram?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1097148727 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*y = 7028 + 12292. Calculate the highest common divisor of y and 92.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8702274 is divided by 31416.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25360*w - 29527*w + 3769*w.\nAnswer: -51118*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 13 in 0.2, -5, 4\/5, 304?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 658, 3, 0 in ascending order.\nAnswer: 0, 3, 658","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -v**2 - 6*v - 5. Suppose 5 = 3*g + 5*k - 1, 3*g + 6 = -k. Let a be z(g). Let b be -1 - -5 - (a + -3). Solve b*i - 4 = 2*i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.54 plus 0.31375763?\nAnswer: -4.22624237","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25665102?\nAnswer: 2, 3, 23, 47, 1319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 3699?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 23004 + -2202420?\nAnswer: -2124411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-1)\/(1\/4)*135\/(-30)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 29198 and 2626.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 298 minutes after 9:49 AM?\nAnswer: 2:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2324122 is divided by 642?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-5 + 3 + 1)*(-2*o + 0*o + 3*o) - 2*o - 3*o + 0*o)*(2*o - 2*o + o).\nAnswer: -6*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -25? (a) 1\/3 (b) -0.4 (c) 2\/5 (d) -125 (e) 0.09\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 31 + -25 - (196 - 193).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 19841 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -80*f + 167*f - 2169 + 81 = 0 for f.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b + 79 = 3*l, -209 + 57 = -4*l - 5*b. What are the prime factors of l?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (-2*-1*sqrt(10))\/(sqrt(20)\/sqrt(4)*-4).\nAnswer: -sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -47*q + 51*q - 32. What is the remainder when 11 is divided by (-60)\/(-16) - (-2)\/q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-14)\/8)\/(2\/(-8)). Suppose -m + 3*c = -26, 3*m - 2*c + h*c - 8 = 0. What is the remainder when 19 is divided by m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(208)*1 + sqrt(208))*3)**2.\nAnswer: 269568","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 2*v - 4*n - 8 = 0, n = -v - 8. Let t = v - -6. Suppose -t = -g + 4. What is the units digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -232*v - 13897. Let l be w(-60). Solve l*o - 19 = 96 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 234*p**2 - 2. Let j(u) = 3*u**2. Calculate j(s(g)).\nAnswer: 164268*g**4 - 2808*g**2 + 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 68953 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 104\/(-39)*(-1 - 20). Suppose -2*q = -f - 0. What is the tens digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 136 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -18*h - 10*h - 6*h + (-2 - 1 + 1)*(-h + 3*h - 3*h) - 55*h + 46*h + 69*h in the form s + j*h and give j.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(170) - -2*sqrt(170)*-4) + sqrt(170))\/(sqrt(360)*2 + sqrt(360)).\nAnswer: -sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1179862, -1180090, -1180318, -1180546?\nAnswer: -1180774","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/5*35\/77. Which is the second biggest value? (a) -6 (b) 0.3 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xsdhxdezesds. What is prob of picking 1 x and 1 h?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -990 - -990.2. Put 0.3, k, 2 in ascending order.\nAnswer: k, 0.3, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2345\/3 in -2\/7, -1, 0.1, 5\/2?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a centimeter in micrometers?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y - 3*z - 6 = 0, -y + 3*y = 2*z - 10 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 5*i**2 - i + 2. Let t be l(0). Let z be 50\/125 - t\/5. Solve 0 = -2*n - 10, 2*n + 8 = -z*s - s for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11 + 2120012023?\nAnswer: 2120012012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 20 + -70. Let s = i + 95. Is s a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 93\/22 and -107\/156?\nAnswer: 1716","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that 2*u**3 + 2*u**2 - 28*u - 48 = 0.\nAnswer: -3, -2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**6\/f)\/f**5)\/(f*f**1*f\/(f\/(f\/(f\/(f\/(f\/f**(3\/5))))))) assuming f is positive.\nAnswer: f**(-13\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1.1 + 0.1. Let o = -0.13 - -5.13. What is the closest to f in -0.3, -4, o?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 192951 and 272860?\nAnswer: 27013140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1696?\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3704089\/15912 - 43\/5304. Let i(v) = v**3 + 15*v**2 - 2*v - 9. Let x be i(-16). Let y = r + x. Sort -6, 0.3, y in increasing order.\nAnswer: -6, y, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 11883556 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve n**3\/3 + 1322*n**2\/3 + 435596*n\/3 - 876488\/3 = 0.\nAnswer: -662, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -w + 2*d + 2, 3*w - 16 = -2*d. Calculate the highest common factor of 30 and w.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 31152627?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w - 149*p = -147*p - 5, -4*w = -2*p + 8 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -12*j**3 + 2*j - j - 6 + 16 + 5*j**2 - 17*j**3. Let y be n(5). Let f = 6432 + y. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/54 of a week in seconds?\nAnswer: 11200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*u + 16 = 14*u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -18*w**3 - 5*w**2 - 14*w - 9. Let r = 436 + -444. Is f(r) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -10 + -8. Let k = u - -14.5. Let d = k + 1.5. Which is the second biggest value? (a) -1 (b) 0.2 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 4*g**2. Let m be t(1). Suppose 3*f + 4*b - 8 = -f, -m*b + 8 = 5*f. Suppose 6*x - x + 2*c - 14 = f, -4*c = 4*x - 4. What is the units digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -21 - -17. Which is smaller: -5 or v?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -w**2 + 13*w + 71. Let i be g(17). Factor 49*f**3 + 5*f**4 - 4*f**i + 65*f**2 - 168 - 326 - 225*f + 244.\nAnswer: 5*(f - 2)*(f + 1)*(f + 5)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2301711 + -5?\nAnswer: -2301716","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -29093 or -3695?\nAnswer: -29093","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -128\/3 + 43. Let w(d) = d**2 - 2*d - 4. Let t be w(4). Let q be 3\/19*10\/15. What is the biggest value in q, a, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 46 = 7*a - 8*a, s + 128 = 3*a. Calculate the remainder when 279 is divided by a.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 154590 by 785.\nAnswer: 30918\/157","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 92882872 a multiple of 1886?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20646 is divided by 96.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -39011000 to the nearest one million.\nAnswer: -39000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 997 - -278. Does 88 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (6\/21)\/(12\/7). Let a be (-1 - 1)\/(2 - 0). Is a > b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of m**5 - 595*m**3 + 1534*m wrt m.\nAnswer: 20*m**3 - 3570*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 398*m - 6. Let s(k) = 66068*k - 995. Determine -995*n(r) + 6*s(r).\nAnswer: 398*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 17 + 21 = 0. Let h = i + -23. Find the second derivative of 60*a - 50*a - h*a**2 + 3*a**2 wrt a.\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6343 - 6343.4. What is the smallest value in -2\/63, f, -0.25, 0.4?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 1, r: 2}. Give prob of sequence rrd.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2763 divided by -4128.\nAnswer: 921\/1376","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 541\/(-2705) - -1*(-11)\/(-5). Suppose 2 = 2*d - 2. Solve -g + y = -d for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -129219 + 5*z**2 + 67455 + 61769.\nAnswer: 5*z**2 + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 23? (a) 2 (b) -45748 (c) -23\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 204 - 65. Calculate the remainder when w is divided by 16.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.076615162 to three dps.\nAnswer: -1.077","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 721616.1489 rounded to the nearest 1000?\nAnswer: 722000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) be the second derivative of m**5\/20 + m**3\/6 - m**2 - 3*m. What is the units digit of s(2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -18 + -361a93?\nAnswer: -361aab","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in fourty-five halves of a gram?\nAnswer: 22500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = 5*u + 12594, 66*x - 50*x + u = -100830. Is -6302 at most as big as x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 115119 is divided by 15.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.604914 to three decimal places.\nAnswer: -0.605","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 16\/15 - 37\/30. Which is bigger: k or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 199*n**2 - 28*n**4 + 2 + 731*n**2 + 29*n**4 in the form k*n + t*n**4 + m*n**2 + l + y*n**3 and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 5, 30, 0?\nAnswer: 30","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 2*k = -56, 63 + 31 = 5*d + 3*k. Let b(s) = -s**2 + 5*s + 6. Let a be b(7). Let l = a + d. What is the tens digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 + h - 4)*(-1 + 1 + 2*h) + 0*h**2 + h**2 - 8*h**2 + (-2*h + 3 - 3)*(-4 + 4 + 2*h) to g*h + s + b*h**2 and give b.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40 = -4*u - 16*c + 13*c, -6*u - 5*c + 1256 - 1318 = 0 for u.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 204363, 408758, 613153, 817548, 1021943, 1226338?\nAnswer: 1430733","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 393 - 387. Solve k - 7*k = u for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -6*c + 105. Let s(y) = 8*y - 106. What is -4*s(d) - 5*w(d)?\nAnswer: -2*d - 101","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -41 + 45. Find the first derivative of -21 - 3*z**2 + 490*z**t + 3*z**2 - 495*z**4 + 13*z wrt z.\nAnswer: -20*z**3 + 13","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2352 divided by 14?\nAnswer: 168","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*t + 52080 = 6160 - 62209. What is the highest common factor of t and 57?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 7\/150 and 151\/17400?\nAnswer: 17400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 49\/188 and (12\/10)\/((-3)\/15) + (-338247)\/(-54990).\nAnswer: 940","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 499513 to the power of 1\/3, to the nearest integer?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1511\/36 - 6890\/(-248040).\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1.172 + 0.172. Let c = -0.52 - 0.18. Let q = -0.4 - c. What is the third biggest value in o, 2, q?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 30 = -5*i + 70, 0 = -i - 5*c + 28. Calculate the smallest common multiple of i and 26.\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*l**3 - 19*l**2 - 91 + 83*l**2 - 64*l**2 - l to y*l**2 + a*l + b*l**3 + h and give b.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -288, -166, -44, 78, 200, 322?\nAnswer: 444","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 10790456 and 344.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 854*j + 15*j**4 + 8*j**4 - 41 - 26*j**4 - 2*j**3 - 857*j as v*j**3 + c*j**2 + y*j**4 + h*j + l and give l.\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 2*f + 50 = 0, f = -5*s + 60 + 32. Which is bigger: -0.1 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 66 a factor of (-2300)\/(-35) - 5\/(-70)*4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6988751?\nAnswer: 7, 11, 17, 19, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 5*v**2 + 55*v - 117. Let r be d(4). Which is bigger: r or 193?\nAnswer: 193","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*a - 9 + 25 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 153946, 153947, 153948, 153949?\n\"Answer: m + 153945","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nz when two letters picked without replacement from rccrzrrszznrcr?\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 4*w = -d - 5, -10 = w - 3*d. Let m(y) = -y**3 + 6*y**2 - 5*y + 1. Give m(w).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 32 and 486.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) be the third derivative of p**4\/12 - 13*p**3\/6 + 11*p**2. Let m be k(9). Put 2, m, -2, 0 in descending order.\nAnswer: m, 2, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 16 + 1 = 0. Suppose -5*a + 39 - 12 = 4*y, 3*a = -n*y + 24. Differentiate -4 + 2*v**y - 14*v**4 - 2*v**3 + 19*v**4 wrt v.\nAnswer: 20*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 770097 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 104 != 93?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 196419644 to the power of 1\/2, to the nearest integer?\nAnswer: 14015","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(((-9)\/(-42))\/(180\/(-70))*2)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) be the second derivative of -a**2 + 5\/6*a**3 - a + 5\/12*a**4 + 0. Is b(3) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + 4 + (sqrt(26)\/(sqrt(12)\/sqrt(6)))**2.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -31*m - 6. Let j(z) = 6*z + 1. What is -2*a(p) - 11*j(p)?\nAnswer: -4*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) be the second derivative of -z**4\/3 - 498*z + 1. Let q(i) = -40*i**2 + 2. Give m(q(t)).\nAnswer: -6400*t**4 + 640*t**2 - 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-51*j**3 - 2*j - 513*j**2 + 513*j**2)*(-6 + 1 - 1) to p + r*j**2 + l*j + c*j**3 and give l.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(11) + -2)*-4.\nAnswer: -4*sqrt(11) + 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l**4\/11 - 3206*l**3\/11 - 299140*l**2\/11 - 6228352*l\/11 + 48834240\/11 = 0 for l.\nAnswer: -1505, -52, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -892 + 901. Solve 4*l - a = -t + 7, -10 = -2*l for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 3221, 3, -5, 143, 0 in descending order.\nAnswer: 3221, 143, 3, 1, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Product of -193.8 and 689333.\nAnswer: -133592735.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 - 6 = 2*q. Let s be 272\/q - 3\/(-9). Calculate the highest common factor of 7 and s.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4292967 (base 10) to base 5.\nAnswer: -2044333332","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) be the third derivative of 0*a**4 - 1\/12*a**5 - 1\/70*a**7 + 0*a + 0*a**6 + 0 + 0*a**3 + 6*a**2. What is the third derivative of u(p) wrt p?\nAnswer: -72*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00071596 to four dps.\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -69 + (-4 - (-2 + -14) - (-320 + 323)).\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 3*73.32328\nAnswer: 219.96984","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 33\/1384 and 105\/15224.\nAnswer: 15224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*(m**18*m)\/m)\/m*m\/((m*m**(-1\/2))\/m)*m**(21\/4)\/(m*m\/(m*m**(1\/6))*m*m))**(-13\/5) assuming m is positive.\nAnswer: m**(-3419\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-5)\/((-15)\/(-24)) - 3. Suppose -42 = -2*i - 10. Let y = i + l. What are the prime factors of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -p + 2*p - 30. Suppose v - 175 = -p. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w\/(w*w*w\/(w\/w**(1\/3)))*w**(13\/4) assuming w is positive.\nAnswer: w**(23\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -9*u. Let h(k) = -17*k**2 - 14634. Calculate h(p(y)).\nAnswer: -1377*y**2 - 14634","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) be the first derivative of -d**3\/12 + 963*d**2\/4 - 927369*d\/4 - 1132. Factor h(k).\nAnswer: -(k - 963)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -72e (base 16) to base 3\nAnswer: -2112002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0 - -2. Let k = -8.3 + 7.8. Let s = 184\/891 - 2\/81. Which is the closest to 1\/4? (a) s (b) k (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:49 AM and 8:56 AM?\nAnswer: 127","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 120 = -9*x. Solve -x = -2*s - 3*s for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 161, 658, 1155, 1652, 2149, 2646?\n\"Answer: 497*h - 336","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide (-69)\/(-3) + 4\/(4\/(-3))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 179*2\/(-12) - (-2030)\/2436.\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -115*y = -130*y - 120 for y.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + 23 + -3 - 7.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 3*c - 6. Let g(d) = -d + 2. Let k(m) = -m - 1. Suppose -10 = 2*t, -2*t - 19 = h + 3*t. Let a be k(h). Determine a*g(q) - 2*y(q).\nAnswer: q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -21 (base 8) in base 9?\nAnswer: -18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -113*x**3 + 20*x + 187*x**3 - 71*x**3 + 1 - 5*x**4 to the form h*x**2 + l*x**4 + a*x + b + i*x**3 and give a.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (102\/(-8))\/((-4)\/16). Let s = w - 47. Suppose 3 = -3*x - 0. Sort 3, -5, s, x.\nAnswer: -5, x, 3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 2608422, 2608408, 2608398, 2608392, 2608390, 2608392, 2608398?\n\"Answer: 2*i**2 - 20*i + 2608440","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -84*-0.06\nAnswer: 5.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-12)\/((-120)\/(-110)) - (0 + -2). Let c(p) = -39*p - 175. What is the units digit of c(r)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -2*x + 177. Let f(a) = a - 62. Let g(r) = 3*f(r) + m(r). Let w(l) = l - 8. Give -6*g(q) + 5*w(q).\nAnswer: -q + 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 2879 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 532034.\nAnswer: 2, 29, 9173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - (3 - 3))\/(-1 - 1)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -178.229, 10, -18?\nAnswer: -178.229","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*k + 3*k + 25 = 0 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*f = 20*f + 150. Let m(q) = -9*q**2 - 4*q - 4. Let t(a) = -55*a**2 - 25*a - 25. Let n(j) = f*m(j) + 4*t(j). Let c(u) = 9*u. Calculate n(c(h)).\nAnswer: 405*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 0.15, 9907 in increasing order.\nAnswer: 0.15, 4, 9907","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 13 + 223003?\nAnswer: 223022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 13*l + 4. Let d be t(8). What is the first derivative of -51*s**4 + 38 + d*s**4 - 8*s**4 wrt s?\nAnswer: 196*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 4*u = 5247, 42*u = -3*v + 46*u + 15741. What is the units digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - q - 31 = 64, 2*x = -5*q + 125. What is the remainder when x\/1 - (-3 - -3) is divided by 17?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 3\/8 of a millimeter?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -721 = -3*g - c, -3 = 5*c + 22. Let b = 40 + g. What are the prime factors of b?\nAnswer: 2, 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 - (-9 - (3 + -15 + (5 - -1)))?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1004\/7 + 143. What is the nearest to 0.2 in l, 1\/3, -1?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (3\/(-6))\/((-7)\/28). Let n be 3*((-28)\/(-12) + 0). Suppose -5*t - l = -n*t. What is the units digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 18.31 and 110 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.090163*4.\nAnswer: 0.360652","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -7*t**3 + 2*t. Let s(d) = -7*d**2 + 13*d - 4. Let v be s(2). Let o(i) = 6*i**3 - 2*i. Determine v*o(y) - 5*b(y).\nAnswer: -y**3 + 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 259741266.\nAnswer: 2, 3, 17, 947, 2689","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 179, 1168, 3849, 9068, 17671, 30504, 48413, 72244?\nAnswer: 102843","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:20 AM and 1:43 PM?\nAnswer: 623","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -12*a**3*q**4 + 24*a**3*q**2 - 2*a**2*q**2 - 23*a**2 - 8*q**6 wrt q?\nAnswer: -288*a**3*q - 960*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -21.74 - 48398295.\nAnswer: -48398316.74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 636 - 626. Calculate the least common multiple of (-21306)\/(-335) - 16\/t and 8.\nAnswer: 248","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b*b*b*b*b\/(b*b**(2\/31))*b*b*b**(-1\/6)*(b\/(b\/b**(-2)*b*b))**(28\/5) assuming b is positive.\nAnswer: b**(-15467\/930)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 2*w**2 + 23*w - 37. Let l be p(-13). What is the hundreds digit of l\/4*2*1390?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -4, -3\/7, 0.1, 1?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -161\/16080 and -13\/1488?\nAnswer: 498480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19 = -3*a + 7 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let -13521*n**3 + 95037*n**2 + 105438*n - 3120 = 0. What is n?\nAnswer: -1, 130\/4507, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 2 = 2*b, 2*n + 12 - 8 = 0. What is the closest to -7\/5 in -0.3, -151, b?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -186\/47 less than 2\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 27.37003 meters?\nAnswer: 27370.03","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 191 + -131. Suppose -k = -4*s - s. What is the common denominator of -97\/20 and 139\/s + 4\/(-8)?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = x**3 - 23*x**2 - 75*x - 78. Let y be p(26). Which is smaller: y or -2\/3273?\nAnswer: -2\/3273","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 2*s + 8. Let t(o) = -o - 7. Determine -2*i(n) - 3*t(n).\nAnswer: -n + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.4? (a) 0.2 (b) 2138 (c) -1\/8 (d) 1\/26 (e) 0.1 (f) 18\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 41 + -86 - (-38 + 8)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -b + 3*b - 10. Let w be 24\/9 + 1\/3. Let q = w + -8. Put b, q, 4 in ascending order.\nAnswer: q, 4, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -8.0158234 to zero decimal places.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qpqp when four letters picked without replacement from qqppqpqqqqqpqpqqqp.\nAnswer: 11\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 113 divide 2057146?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 38.79912 litres in millilitres?\nAnswer: 38799.12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v = 19*v + 80 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 526\/2899?\nAnswer: 526\/2899","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/41205 or -0.34?\nAnswer: -0.34","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -163 - -168. Let y be (-430)\/(-15) - (-6)\/(-9). Let q be y\/10 + (-4)\/(-20). Which is the nearest to -2\/3? (a) -1\/5 (b) m (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5*c*v**2 + 11*c + 2*v**3 - 53*v**2 - 17 with respect to v.\nAnswer: -10*c*v + 6*v**2 - 106*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 127595938?\nAnswer: 2, 31, 2057999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-4 + -2)\/((-6)\/4). Let g(v) = -100*v + 15. Let r(t) = 25*t - 4. Let d(j) = 2*g(j) + 9*r(j). What is the remainder when d(k) is divided by 24?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = -2*k - 12. Let s be (-6)\/(-21) - 187\/(-7). Suppose -3*m - h = 6, -h + s = -5*m + 3*h. Do k and m have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -147*i = -74*i + 3723 for i.\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = -3*w - 27, 5*a + 11 + 2 = -w. Calculate the remainder when w\/52 + (-860)\/(-13) is divided by 34.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 107031988 a multiple of 54?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*a, 4*p + 5 = 4*a + 13. Suppose -3 = -2*r + 3*d, -r + 11 = 2*r + p*d. Solve -3*t = -9 + r for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1345 + -12083\/9. Let t = 13\/12 + 461\/84. Calculate the common denominator of v and t.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -186824 - -76?\nAnswer: -186737","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:22 PM and 12:12 AM?\nAnswer: 170","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -6\/479 (b) 2 (c) -26.7 (d) -3\/271\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4)\/6 - (-51)\/9. Let g be -3*f\/3*1. Let j(d) be the third derivative of -d**5\/60 - 5*d**4\/24 + 5*d**3\/6 - 8*d**2. What is j(g)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 2*n - 200 = 0. What is the lowest common multiple of 35 and n?\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that -2*b**2\/9 + 805*b\/9 + 1634\/3 = 0.\nAnswer: -6, 817\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + d = -2*a + 56, 5*a = -3*d + 59. Let h be 573\/d - (-4)\/24. Suppose 3*m = 5*m - 4*j - 54, 0 = -m + 3*j + h. List the prime factors of m.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 131280?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) be the first derivative of 5*m**3\/3 + m**2 - 12*m + 11. Let z be c(-6). Suppose 5*s = 2*s + z. Calculate the remainder when s is divided by 18.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7890321*s**2 - 3945187*s**2 - 3945144*s**2.\nAnswer: -10*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -719 + 582.8. Let f = 132 + -6. Let s = f + b. Round s to the nearest integer.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 92329 and 127?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 3*s = 29, -13 = 4*b - 8*b - 3*s. What are the prime factors of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(18\/(-60)) + 4\/6?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 32.194 + -0.194. Let j be (-4)\/(-22) + (-68)\/(-110). What is the third smallest value in q, j, -0.3?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10 - (6 - ((-9 - -1) + 14) - -7).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4*(10\/(-4))\/(-1). Let u be 2\/4 + 5\/p. Suppose m + u = 5. List the prime factors of m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.08 - -241531619\nAnswer: 241531619.08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h - i + 30 = 2*i, -2*h + 5*i = 31 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 28*c - 94. Let y(w) = w**2 + 2. Let q(k) = m(k) - 2*y(k). Factor q(z).\nAnswer: -2*(z - 7)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 3*w**3 - 1. Let t(f) = -5*f**3 - f**2 + 2. Let o = 1374 - 1376. Calculate o*t(j) - 5*c(j).\nAnswer: -5*j**3 + 2*j**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 8\/(-6) - 308\/(-42). Suppose 2*p + p = l. What is the least common multiple of p and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve s**2\/3 + 10944*s - 459844\/3 = 0.\nAnswer: -32846, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l when two letters picked without replacement from llllilllllllllllllll?\nAnswer: 9\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.002784725 rounded to four decimal places?\nAnswer: 0.0028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.013434 rounded to 3 dps?\nAnswer: -0.013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -12 - -16. Suppose 4*q = -4*z, q + 2*q = -z + j. What is the derivative of -2 + 0*m**2 + 2 + 8*m**q - 8 wrt m?\nAnswer: 16*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 192*s + 963. Let z be k(-5). Let u(c) be the second derivative of 0*c**2 - 10*c**4 + 16\/3*c**z + 18*c + 0 + 7\/5*c**5. Factor u(d).\nAnswer: 4*d*(d - 4)*(7*d - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.5 in 2\/7, 2\/9, -11700\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.22531564 rounded to two decimal places?\nAnswer: 0.23","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 963 and 39?\nAnswer: 12519","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -636, -644, -676, -744, -860?\nAnswer: -1036","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -4305 (base 7) in base 4?\nAnswer: -113310","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -5*f**3 + 3*f + 4. Let s(z) = 14*z**3 - z**2 - 8*z - 11. Give 3*s(d) + 8*u(d).\nAnswer: 2*d**3 - 3*d**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-3\/5)*o*o**(2\/17))\/(o**6\/o*o*o*o*o*o**0))\/(((o**(1\/3)\/o*o)\/o)**(-14)\/(((o**1*o)\/o)\/o**(1\/4))) assuming o is positive.\nAnswer: o**(-17407\/1020)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -17516, -16715, -15892, -15035, -14132, -13171?\nAnswer: -12140","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*g**3 + 187*g - 93*g + 222*g**2 - 93*g - g**3 to the form q*g + h*g**3 + i + z*g**2 and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -75783906*d**2 + 17795473*d wrt d?\nAnswer: -151567812","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 36 = 5*g. Suppose 0 = -g*x + 8*x - 16. Let t = -14 - x. What is the units digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 7 or 45?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 26510006 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x when two letters picked without replacement from {c: 12, y: 3, x: 2}.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*m - 6 - 18 = 0 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 49139869?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 3*c - 8. Let u be r(5). Solve -w - 2 = -u for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 15*v - 69. Let z(i) = -174342*i. Calculate z(n(p)).\nAnswer: -2615130*p + 12029598","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/(-6)*6 + (-1 - -1). Suppose -c + 6980 = c + 2*h, -s*c = 5*h - 6971. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 0 + 1 + 1 + 0 + 8*c + c**2. What is the units digit of g(-11)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 228*i**3 + 2*i**2 - 15*i - 12. Is z(5) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 131 - 131.06. Let v = -5.96 + 0.96. Which is the biggest value? (a) v (b) w (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -833861 or -833862?\nAnswer: -833861","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 2*q + 4. Let p be w(-2). Suppose p = -70*a + 73*a - 213. What is the tens digit of ((-1)\/(-1))\/(1\/a)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 270.5 + -1831030.\nAnswer: -1830759.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 3*h = 4128, -4141 + 13 = -3*y - 3*h. What is the smallest common multiple of y and 24?\nAnswer: 4128","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -25046400\/47 equal to -532902?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*h + 27*h - 128 = -h. What is the highest common factor of 1864 and h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2253.84 + 2254. Is 11 < c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 68.3 to the nearest ten.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 166*b + 158*b - 320*b.\nAnswer: 4*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put together -1.0601 and -992.6.\nAnswer: -993.6601","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 65*n**2 + 13*n + 46. Let a(i) = 193*i**2 + 38*i + 119. Let j(l) = 3*a(l) - 8*h(l). Determine j(1).\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g and 2 x when four letters picked without replacement from {d: 2, h: 6, x: 4, g: 3, k: 2}.\nAnswer: 9\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 10*x**3 - 2*x**2 + 132700*x - 39030318 wrt x?\nAnswer: 30*x**2 - 4*x + 132700","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 20296?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0\/7 + (-4)\/(-2). Is (182\/f)\/(2 + -1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -18.28 and -2.\nAnswer: 36.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -167937*n + 62*n**2 - 392*n**2 - 265*n**2 + 167936*n.\nAnswer: -595*n**2 - n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 6*m**2 - 6*m + 13. Let b(r) = -32*r**2 + 30*r - 65. Give -2*b(c) - 11*x(c).\nAnswer: -2*c**2 + 6*c - 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = b + 5. Let h be x(6). Let p = 25 + 60. Let f = p - h. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6229060 divided by 20\nAnswer: 311453","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = 3*n - 8. Let d be 2\/(-52) + (-2)\/n. Which is the third biggest value? (a) 0 (b) -1\/6 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) be the first derivative of -a**8\/280 + a**5\/120 - 2*a**3 + 1. Let h(x) be the third derivative of l(x). What is the second derivative of h(v) wrt v?\nAnswer: -72*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -158, 45 in ascending order.\nAnswer: -158, -1, 45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = h**3 - 24*h**2 - 23*h + 578. Determine l(24).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -t**3\/7 - 277450*t**2\/7 + 11099600*t\/7.\nAnswer: -t*(t - 40)*(t + 277490)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 7*f**2 - 5*f + 2. Calculate the lowest common multiple of 16 and a(2).\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3386396742.4 minus 0.14?\nAnswer: 3386396742.26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -2*(-3 + 1 + 1). Let c(o) = 5*o + 2*o**2 - 4 - 6*o**g + 6*o**2 - 3*o**2. Calculate the least common multiple of c(3) and 1.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -2*u**2 - 27*u - 12. Let o be k(-13). Factor -1\/2*l**2 - 3\/2*l - o.\nAnswer: -(l + 1)*(l + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25128590 equal to 25128581?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*r**2\/7 - 232*r\/7 + 3364\/7.\nAnswer: 4*(r - 29)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 162910 and 1342?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 - 2 + 3)*(2*z**3 - 8*z**3 - 2*z**3)*(-9*z - 16*z - 10*z) to the form j + w*z**4 + m*z + v*z**2 + g*z**3 and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 3, 5, 93.\nAnswer: -4, 3, 5, 93","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.17 + 2.83. Let a = -2 - -2. Suppose -3*m - w = 4*w - 9, -3*m - 2*w + 9 = a. What is the closest to m in -2, p, -1?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -15*m**2. Let f(d) = 286*d**2 + 0 - 275*d**2 + 0. Let i(a) = 5*a**2. Let n(g) = -4*f(g) + 9*i(g). What is n(z(s))?\nAnswer: 225*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 12\/(-18) - 83\/(-3). Let x = 39 - z. What are the prime factors of x?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -894173*p. Let z(g) = 20*g**2. Calculate h(z(i)).\nAnswer: -17883460*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wwawwwww. Give prob of sequence wwww.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.815387 millilitres to litres.\nAnswer: 0.006815387","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -2*u**2 + 11*u + 5. Let d be ((-1 - -3) + -6)*(-21)\/14. Let a be m(d). Let g be (9 - 7)*a*27\/(-6). Solve -16 = -5*f + g for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express c - 2 - 1 + 2 - 3 - c**2 as l*c + r*c**2 + w and give w.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ffrrffrlffflfflfffrl. What is prob of picking 2 r?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Do -16688015 and -16688014 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is (30\/(-45))\/(2*(-2)\/26202) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + 5 + 1 + 1 + -5?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -42 - -42. Which is the smallest value? (a) -4 (b) i (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, 32, 0.1, -270, -0.1, 5 in descending order.\nAnswer: 32, 5, 0.1, -0.1, -7, -270","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4.9 + -0.1. Which is the third biggest value? (a) l (b) 2 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 3 - -22 - (46 + -44 - 2)\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 13075 and 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.1 and 41404836.4.\nAnswer: 4140483.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (1\/(-3))\/(64\/(-21) - -3). Suppose 1350 = c*k + 3*k. Let a(m) = m**2 + 5*m + 9. Let r be a(-6). What is the greatest common factor of r and k?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 59739 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -17 + 21. Let k = v + -5. Which is the nearest to k? (a) -4 (b) -0.1 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*n + c + 97, 0 = -4*n + 5*n + 5*c - 11. Let f = 31 - n. Solve f + 25 = 5*z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 722196*l. Let o(x) = 6*x**2. What is o(v(z))?\nAnswer: 3129402374496*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3489 + -31367\/9. What is the common denominator of l and -5\/7?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express j - 3 + 3 + (-2 + 0 + 3)*(-4 + 4 - 2*j) + 2 - 2 - 3*j + 2*j - j + 2*j in the form q*j + c and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101 - 111?\nAnswer: -1100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 472 minutes before 12:16 AM?\nAnswer: 4:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + ((sqrt(162) + sqrt(162)*-1*-3)*5 - (3 + 6*(sqrt(2) + sqrt(22)\/(sqrt(44) + sqrt(11)))))**2.\nAnswer: -1032*sqrt(2) + 59174","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*j - 9 = -10*j + k, 4*j - 114 = -14*k for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 36525063 + 28.792076\nAnswer: 36525091.792076","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 2 + 0 - 3*z)*(-3 + z + 3) to the form t*z + d*z**2 + j and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 490 - 27*s + 19*s**3 - 22*s**3 + 553 + 27*s.\nAnswer: -3*s**3 + 1043","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/5, -0.04, -1\/3, -130\/17, 0.056?\nAnswer: -130\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) be the first derivative of 3\/2*k**2 + 2 - 3\/4*k**4 + 0*k + 0*k**3. Find the second derivative of t(z) wrt z.\nAnswer: -18*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 91?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oi when two letters picked without replacement from {i: 1, u: 1, o: 2}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12)\/320*-4*(-20)\/5.\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -124964 (base 10) to base 16.\nAnswer: -1e824","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 9 + -7. Is i >= -7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 4*g - 11. Let m(z) = z**2 + 2*z - 6. Let v be m(-5). Suppose 5*l = g*y + 95, -4*y + v*y + 25 = 0. Solve -3*i - 50 = 5*f - l, 4*f - 2*i = -14 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p + p - g + 3 = 0, 2*p + g - 4 = 0 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 694542 is divided by 53409?\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 63, 0, -5 in decreasing order.\nAnswer: 63, 0, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00467239866 to five decimal places.\nAnswer: -0.00467","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -9, -2, -4 in increasing order.\nAnswer: -9, -4, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -64\/16659 and -32\/57381?\nAnswer: 516429","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is v in -4*v**5\/3 + 88*v**4\/3 + 100*v**3 = 0?\nAnswer: -3, 0, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -7*s**2. Let a(p) = -456*p - 306. Let x(i) = 152*i + 108. Let u(q) = -6*a(q) - 17*x(q). Determine d(u(r)).\nAnswer: -161728*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 91415?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1481876 is divided by 11312?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 533429 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: Sort -1, 1, -2102, -5, -12.\nAnswer: -2102, -12, -5, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 - (0 + 42 + 28 - (19 - 1)).\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:00 AM and 12:26 PM?\nAnswer: 386","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -27 + 25. Which is the second smallest value? (a) -13 (b) p (c) 0 (d) -1\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*a**4\/4 - 11073*a**3\/4 + 5535*a**2\/2.\nAnswer: 3*a**2*(a - 3690)*(a - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -x + 24. Let m be u(17). Suppose 40 = j + m*j. Suppose -j*s = -322 - 178. What is the units digit of s?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 40*o**3 - 16759*o**2 - 414*o - 2089. What is h(419)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 2*n**3 + 62*n**2 - 45*n - 8. What is the units digit of z(-31)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24531362 is divided by 8177096.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11100000011000110101 (base 2) to base 10.\nAnswer: 919093","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23443 + 32141 = 15*m - 58457. Is 59 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 9*u**2 - 12*u. Let n(l) = 8*l**2 - 11*l - 1. Let d(v) = 3*n(v) - 4*x(v). Factor d(y).\nAnswer: -3*(y - 1)*(4*y - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 m when two letters picked without replacement from wmww.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1\/(-5) - (-22)\/10. Suppose -y*j - j + 239970 = 0. Let d be j\/20 + 2\/4. Round d to the nearest one thousand.\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2350 and 1927?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - 22 + 49 = 0. Let s = 17 + -12. Suppose g = -2*t + 3, t + 3 = g - 3. Solve j + g*k + a = 3*k, -s*k = 3*j + 22 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0 and 262798677.\nAnswer: 262798677","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 862387983?\nAnswer: 3, 95820887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 2129882642 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(1\/(-6))*(-11431)\/(-24495)\nAnswer: 14\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 1 + j + 0*j + 32*j**2 + j - 3. Is u(1) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 68158271\/35827 + 88\/3257. Let l = -1907 + c. Which is greater: l or -6?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iqttttiitoqqitqiqtiq. What is prob of picking 1 t, 2 i, and 1 o?\nAnswer: 7\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c when two letters picked without replacement from {c: 8, u: 2, w: 2}?\nAnswer: 14\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + 4 + 18 + -18.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that -2*n**3\/5 - 4*n**2 + 2*n\/5 + 4 = 0.\nAnswer: -10, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 517163882?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*d**3\/5 + 66*d**2\/5.\nAnswer: 3*d**2*(d + 22)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide -162 by -162.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -213\/11 bigger than 0.14?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 3*v = -4, 3*k + 1 = 2*k - 2*v. Is 1\/245 greater than or equal to k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -16.6 + 9.6. Which is the second smallest value? (a) 0 (b) -2\/3 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:44 AM and 4:38 PM?\nAnswer: 414","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2*a + a - a)*(2 - 2 + 2*a) + 4*a**2 - 5*a**2 - a**2 + (5*a**2 - 4*a**2 - 2*a**2)*(-2 + 0 + 3))*(0 - 2*a**3 + 0).\nAnswer: 14*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -z**3 + 12*z**2 - 5*z + 14. Let l be r(11). Let n = -48 + l. What is the tens digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that 3*g**2 + 2904*g + 2901 = 0.\nAnswer: -967, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (15*(-42)\/63)\/2?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -2147 to the nearest 100.\nAnswer: -2100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2740*w**3 + 6481*w**3 - 3267*w**3.\nAnswer: 474*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -22\/15 + 5\/3. Let n be (6\/(-16))\/((-88)\/(-352)). Put 4, i, n in descending order.\nAnswer: 4, i, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = t + p + 1, 2*p = 4. Suppose -y + 15 = -t*o + 5*o, -3 = -o - y. What is the third derivative of 9*i**2 - 14*i**3 + 20*i**3 + 22*i**2 - 7*i**o wrt i?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12121011 - -110111122?\nAnswer: 200002210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) be the first derivative of -204*p**7\/7 - 88*p**3\/3 - 299. What is the third derivative of o(d) wrt d?\nAnswer: -24480*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 5 + -4433?\nAnswer: -4425","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -1286\/3161 smaller than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 39557 is divided by 230.\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (-12)\/8*66\/12*4\/11\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add -1771793515 and -82.\nAnswer: -1771793597","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out -875761 * 382.\nAnswer: -334540702","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -487*b - 34581. Calculate s(-71).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 7656401 or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-75)\/27)\/5*16\/(-40).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 19*n**2 + 1. Let r = -4 + 3. What is the tens digit of g(r)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 342239340?\nAnswer: 2, 3, 5, 5703989","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 5*l**3 + l**2 - l. Let x be u(1). Let t(g) be the first derivative of 7*g - 17 - 5\/2*g**2 + 1\/3*g**3. Give t(x).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + -1*sqrt(2057) + sqrt(2057) + sqrt(2057)*2*-5)**2.\nAnswer: -220*sqrt(17) + 205701","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (0\/2)\/(4 - 5). Let n(x) be the second derivative of d + 1\/2*x**3 + x**2 + 2*x. Differentiate n(t) with respect to t.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3\/7, 0.52, -3, 0.5, -79, 2, 8\/33?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*s**2 - s**2 + 2*s**2)*(0 - 1 - 1) + s**2 - 3*s**2 + s**2 + (-3*s + s + 3*s)*(1 - 1 + s) + 133*s + 119*s**2 - 133*s.\nAnswer: 123*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.7 - -3.7. Let c = j - 2.99. Let h = -1.01 + c. Is h at least as big as -8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40*b = 94*b - 54 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i - 6 = -4*m + 18, -5*i - 4 = -6*m for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*s - s + 2*s)*(-1635 - 162*s + 1635) in the form y*s**2 + u*s + l and give y.\nAnswer: -486","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 113519 and 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11110110111111110 - -11000000?\nAnswer: 11110111010111110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 16*p**2*y**2 - 23*p**2*y - 28738*p**2 - 11455*p*y**3 - 5*p*y**2 wrt y.\nAnswer: 32*p**2 - 68730*p*y - 10*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 633 is divided by 53.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from juuutuuqdtdqutt. What is prob of picking 1 u and 1 q?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -2577619, -2577621, -2577623?\n\"Answer: -2*h - 2577617","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*n**5\/5 - 8*n**4\/5.\nAnswer: 2*n**4*(n - 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is ff + 3?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = -32*s + 8*s. Are s and 1\/1725 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-4462 - -4410) + (-1 + 0 - -5)\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = g**3 + 54*g**2 - 288*g + 422. Calculate l(-59).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 108284 and 81972.\nAnswer: 1012","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 4, b: 2, z: 2, m: 1, d: 2, v: 1}. What is prob of sequence vyy?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101011101 - 1000110110010101011?\nAnswer: -1000110111000001000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) be the second derivative of 0*f**5 - 1\/30*f**6 + 0*f**3 + 0*f**2 + 3*f + 1\/6*f**4 + 0. What is the third derivative of k(c) wrt c?\nAnswer: -24*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 5 and -26196?\nAnswer: -130980","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.018 + -22.982. Let s = 29.8 + m. Let w = s - 2.8. Which is the nearest to 1? (a) -3\/8 (b) w (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -2*i + 25. Let r(l) = 231*l**2. Calculate c(r(k)).\nAnswer: -462*k**2 + 25","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 42 divide 37906?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that -2*v**3\/3 + 18405724*v**2 = 0.\nAnswer: 0, 27608586","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 188 and 14.\nAnswer: 1316","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange q**3 - 6*q**2 + 196598*q + q**2 - 2 - 196652*q to w + i*q + u*q**2 + m*q**3 and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2 + 3. Let z(h) = 722*h + 70038. Let m be z(-97). Put -1, -4, m, i in ascending order.\nAnswer: -4, -1, m, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = -i + c + 5, -5*c = 3*i + 25. Suppose 4*z + 32130 + 22670 = i. Round z to the nearest 1000.\nAnswer: -14000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -150438003\/7988 + 18833. Let g = q + -243639\/39940. Find the common denominator of -13\/10 and g.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -166*b - 5327. Determine h(-32).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 16 - 11. Let z(m) = 3*m**2 + 2. Is 21 a factor of z(y)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-4\/11)\/o)**(-22)\/(o\/o**(-10)*o**(2\/25)))**(3\/19) assuming o is positive.\nAnswer: o**(1419\/475)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 41724 and 2989.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2352 and 494647944.\nAnswer: 1176","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-18)\/(-1))\/1*-2. Let l be (-2)\/(-9) - 280\/k. Suppose l = s + s. Solve -2*w = s + 4 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*d + 3*k + 938 = -15*d, -2827 = -3*d - 4*k. Is 62 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/5114 or -2\/31?\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1230 - 184 = -110*v + 56. Is v != 70?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 5 (b) 6\/7 (c) 0.01 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 + 0*s + 6*s + 6*s - 18*s as o*s + j and give o.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*w**3 - 3*w**3 - 2*w**3)*(w - 3*w + 0*w)*(3 - 1 + 3).\nAnswer: -10*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1228648?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = w**2 - 1. Let t be g(2). What is the greatest common factor of t and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/11*-1)\/(5\/10)*(-32450)\/581150?\nAnswer: 2\/197","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 9855 - -796. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + -57 + (33 - -1).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1593\/(-36) - (9\/21)\/(828\/5313).\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 - 2*j)*(2 - 5 + 2)*(-26*j**3 + 33*j**3 - 16*j**3).\nAnswer: -18*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(78) + (sqrt(78) - 2*(sqrt(78) + 1*sqrt(78))) + sqrt(78))\/(sqrt(42)\/sqrt(63)).\nAnswer: -3*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -5*t**3 - 3*t**2 - 4*t - 1. Let p(j) = 13*j**3 + 10*j**2 + 13*j + 3. Let u(l) = 2*p(l) + 7*x(l). Let r = -3 + 2. What are the prime factors of u(r)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -3*m + 7. Let z be g(4). Let r(i) = i**2 + 7*i + 7. What is r(z)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*f**5 - 9*f**4 + 9*f**4 + (-1 - 2*f**4 + 1)*(-2*f - 4*f + 5*f) + (-f**4 - 3*f**4 + 2*f**4)*(-5*f - 9*f + 0*f).\nAnswer: 27*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4831 is divided by 151?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*p + 35 = -5*v, -4*p - 5*v + 127 - 78 = 0 for p.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 46*g + 11954. Determine a(-256).\nAnswer: 178","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -2*y + 69. Calculate the remainder when 312 is divided by t(3).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1\/5 (b) -1\/8 (c) 6 (d) 2\/7 (e) -2 (f) -20\/23\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 842.5641um in meters?\nAnswer: 0.0008425641","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = h, -8*c - 2545 = -13*c - 3*h. Factor -3*d + 3 - 255*d**3 + c*d**3 - 3*d**2 - 251*d**3.\nAnswer: 3*(d - 1)**2*(d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:26 AM and 12:52 PM?\nAnswer: 386","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-27 - 47949\/(-1760)) + 16\/64*16\/(-10)?\nAnswer: -5\/32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 23651 to the nearest integer?\nAnswer: 154","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-19 - (39 - -6)) + (9 - -7).\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 375 and 6075.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1 + -415?\nAnswer: -414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*q + 2*q - q + 2*q - 5*q + 4*q + (0 + 1 + 0)*(-q - q + 0*q) - q - 1 + 1 - 3 + 3 - 2*q - q - q + 5*q - 57 + 57 - 8*q in the form f*q + p and give f.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 50\/275 - (-812)\/(-1056) and 65\/1056.\nAnswer: 1056","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3628757 (base 10) to base 12\nAnswer: -126bb85","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -22201 (base 4) in base 6?\nAnswer: -3041","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-21)\/14 + 62\/(-4). Let u = 19 + h. Find the second derivative of -l - 5*l + l + u*l - 6*l**3 wrt l.\nAnswer: -36*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -185 - -929\/5. Let q = -28.4 - -28.4. Let l = -2 + 7. Which is the nearest to q? (a) v (b) 0.2 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 394234 is divided by 96328.\nAnswer: 8922","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -77\/1115710 and -7\/18?\nAnswer: 10041390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 26 = 3*t, -5*t + 3*t + 5*n - 22 = 0. Let a(c) = c**2 - 5*c + 5. Let f(r) = r**2. Let k(s) = -a(s) + 2*f(s). Give k(t).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -g**3 - 9*g**2 - 3*g + 40. Let k be (-2)\/(-6) - (-75)\/(-9). Let a be i(k). Which is bigger: 2\/49 or a?\nAnswer: 2\/49","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = w**3 + 7*w**2 - 4*w - 12. Suppose 2*l + 2*l = -3*r - 5, 5*l + 5*r = 0. Calculate the remainder when c(l) is divided by (-137)\/(-9) - (-4)\/(-18).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange t**4 - 137 - 2*t**2 + 6*t**2 - 4*t + 138 to the form n + y*t**3 + v*t + i*t**2 + o*t**4 and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -19*s - 17*s - 2*s + 3*s + 6. Is n(-3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21709107 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) be the first derivative of 7*t**5\/60 + t**4\/4 - 7*t**2\/2 + 5. Let b(h) be the second derivative of w(h). Find the second derivative of b(n) wrt n.\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h = 2*n - 12, -116*n - 2*h = -111*n + 10 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oqo when three letters picked without replacement from {q: 3, v: 3, r: 2, o: 7}?\nAnswer: 3\/65","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 358795.9 centuries in millennia?\nAnswer: 35879.59","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4483*a - 4488*a + 36 + 8973*a to p + b*a and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -8*x**2 - 5*x + 5*x + 5*x - 2*x wrt x.\nAnswer: -16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*u - 3 - 9. Suppose -4*n = u*b - 10, 2*b + 2*n + 2 = 10. Suppose -x = -2*q + b + 6, -5*q + 27 = -x. Solve q*a + 4 = -1 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 286969?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -4205113 + 52?\nAnswer: -4205021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 3*m - 25 = 0, -2*f + 0*m + 10 = -4*m. Suppose -6*y + 23 - f = 0. Suppose 0 = -5*k, y*h - 6*h + 4*k + 204 = 0. What is the tens digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 5*h - 5. Suppose -5*j - c + 28 = 0, 0 = 9*j - 4*j - 3*c - 16. What are the prime factors of i(j)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 2*a**3 + 57*a**2 + 142*a + 1018. Determine p(-27).\nAnswer: -629","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(18\/(-15))*(-10 + 4 - (-1620)\/(-100)).\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/((-15315)\/89848*56\/6)?\nAnswer: -22\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -6 + 13 - (-16)\/(-8)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10011111010101100000010100 + 1?\nAnswer: 10011111010101100000010101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -670.1*-0.05729\nAnswer: 38.390029","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2898 - -130402\/45. Calculate the common denominator of -52\/9 and c.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = o - i, 28*o - 24*o - 5*i - 19 = 0 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*m + 3*m - 24. Let i(q) = 3*q - 6. Let c be i(m). Let w = 22 - c. Solve -5 = w*f - 25 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = -0*b - 5. Let q be (21\/6)\/(b\/(-40)). Suppose 5 - q = -5*a. Solve -3*w = -5*v - 29, 0 = -5*v + 2*v + 5*w - a for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29 + (52 + -62 - 24)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4315339394.\nAnswer: 2, 19, 53, 1439, 1489","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1264613116 to the nearest integer?\nAnswer: 1081","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*o - 4*o + o)*(1 - 1 + 2*o) + (-7*o - 13*o + 17*o)*(-4*o + 3*o - o).\nAnswer: 4*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 h when three letters picked without replacement from {h: 3, f: 4, k: 4, m: 3}.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 418*z - 7794. Determine w(19).\nAnswer: 148","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = w**2 + 84*w + 1. Let t(m) = 6*m**2 + 333*m + 2331. Determine -4*q(u) + t(u).\nAnswer: 2*u**2 - 3*u + 2327","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -7.752 - 38.103. Let y = 46 + s. Let b = y - 1.255. Round b to 1 dp.\nAnswer: -1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 5*r + 27 = 0, 502 = -a - 3*r + 518. Let h(d) = 27*d**3. Let f(k) = -k**3. What is a*h(z) - 9*f(z)?\nAnswer: 36*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1007270 is divided by 6146.\nAnswer: 5472","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -439.0000347 - -439. What is c rounded to five dps?\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5, 18, 39, 68, 105?\nAnswer: 150","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -w - 5*w**3 + 6*w**4 + 0*w - 7*w**4 + 3*w**2 to the form b*w**4 + q + c*w**2 + h*w + p*w**3 and give c.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 22 = -4*v, 3*a - 2*a + 4*v = -29. Let r = -28 - a. Let o be r + 9 - (-1 - -1). Put 0, o, 1 in decreasing order.\nAnswer: 1, 0, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (9 - 3)\/(7 + -5). Factor 2\/9*f**2 + 0 - 2\/9*f**o + 0*f.\nAnswer: -2*f**2*(f - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 93 a factor of 1368360987?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 97549350?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 5*w = 31062, -3*w = -3*j + 6436 + 16859. Suppose 8*g = 2325 + j. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 18\/63*1\/(-2)\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1213958.\nAnswer: 2, 71, 83, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (1\/(-5))\/(58\/174). Which is the nearest to -0.1? (a) -1 (b) y (c) -66 (d) 1.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 28676?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -31033 + -1?\nAnswer: -31100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 80*q = 87*q - 273. Calculate the remainder when q is divided by 20.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2500403 to the nearest integer?\nAnswer: 136","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -192*u - 7. Let b(z) = -211*z - 6. Let n(r) = -10*b(r) + 11*x(r). Let q be -10*(0 + 1)*1. Let t be n(q). Solve t*f + 9 = -0*f for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 252067 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o - a = -2*o + 784, -3*o - 4*a = 787. Let w = -137 - o. Suppose 6*n - w = 4*n. What is the units digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2977056257?\nAnswer: 7, 4861, 87491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 8, 0.6, -5, -0.1, -7, 0.04, -480?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6818.873 millimeters to kilometers.\nAnswer: 0.006818873","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (49280\/105)\/64 - 1472\/204.\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -369 + 534. What is the remainder when s is divided by 44?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u = -5*s + 38, 4723*u + 31 = 4722*u - 2*s for u.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 1.2 * 5\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 267, 515, 753, 975, 1175, 1347, 1485?\nAnswer: 1583","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) be the third derivative of 69*l**7\/70 + 37*l**5\/20 - 29*l**2 - 2. Find the third derivative of k(y) wrt y.\nAnswer: 4968*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1 - -4. Suppose -q + 5*t - 3 = -6, -2*q + d*t = -6. Let x be 5 - -2 - (q + -1). Solve 5 = -z + 2*c - 7, -2*c = x*z + 12 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = z**3 + 3*z**2 - 4*z - 3. Let l be a(-4). Let c be (-2)\/(((-3)\/l)\/1). Let s(j) be the first derivative of j**4\/2 + 2*j**3\/3 + 2*j - 4. Give s(c).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 49 is divided by 25?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 244 minutes after 3:45 PM?\nAnswer: 7:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-45162)\/386*(-7)\/126*4.\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 7456 - -0.2.\nAnswer: 7456.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (14\/34356)\/(2\/12). Let m = k + 799\/7771. What is the nearest to 1\/5 in -1\/8, -3\/7, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*i**3 + 0*i**3 - 3*i**3)*(11*i**2 - 3*i**2 - i**2).\nAnswer: -35*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 1 - 10 + 4 + i - 1. Let s be b(9). Suppose -2*n + 392 = -0*r - 3*r, -s*n = 5*r - 588. What are the prime factors of n?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of (1 - (-292)\/5)\/(11*(-23)\/(-2530)) and 54?\nAnswer: 594","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + (-8 - -5) - -3.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) be the first derivative of 133*u**6\/6 + u**4 - 9635*u**2\/2 + 753. What is the second derivative of i(o) wrt o?\nAnswer: 2660*o**3 + 24*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*t + 16*t - 756. Calculate the remainder when 681 is divided by t.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5? (a) -2 (b) -4 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at most 3\/500?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/23 - (-100276)\/(-1012). Let b be ((-10)\/(-6))\/(1001\/v - -10). Let m(u) = -2*u - 15. Calculate m(b).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-18)\/12*(-10)\/(-15)*3?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) be the first derivative of -v**5\/60 + 3*v**4\/16 - 7*v**3\/12 + 19*v**2\/24 - v\/2 - 916. Find l, given that j(l) = 0.\nAnswer: 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 224 - 122. Is k a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 275*c**2 + c + 628 + 339 - 971 + 253*c**2.\nAnswer: 528*c**2 + c - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, 1\/3, 0.16, 0.2 in descending order.\nAnswer: 1\/3, 0.2, 0.16, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -12308969, -12309029, -12309089, -12309149?\n\"Answer: -60*k - 12308909","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 36 and 1791.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 329578349?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -18682 or -18704?\nAnswer: -18704","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -254796*r**2 + 127394*r**2 + 127384*r**2.\nAnswer: -18*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 12*q - 4. Suppose 0 = -g - d, -2*g - g = 2*d + 4. Let h(w) = -12*w + 5. Let c(o) = g*h(o) - 5*x(o). What is c(1)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 7) in base 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 120\/18 - (-2)\/(-3). Let f be 510\/8 + c\/(-8). Calculate the greatest common divisor of 9 and f.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*z + 17664 + 6*z - 17664 + z**2.\nAnswer: z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 m when three letters picked without replacement from ttststltmmsstmptt?\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6218*s - 46964*s - 57*s**3 + 52*s**3.\nAnswer: -5*s**3 - 40746*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1163?\nAnswer: 1163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Add together 9 and -670302.0473649.\nAnswer: -670293.0473649","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) be the first derivative of 113*p**3\/3 + 3*p**2\/2 - 7*p - 39. What is the second derivative of v(y) wrt y?\nAnswer: 226","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -6 and -40.\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -283934, -567869, -851806, -1135745, -1419686, -1703629?\n\"Answer: -g**2 - 283932*g - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-35)\/20*(-2)\/1*1048\/917. Suppose -3*u - 3*o = 2*o + 9, 2*u + 2 = -2*o. Solve h = -u*i + 4*c, i = -2*i + 2*c - 10 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -36*n**2 - 40*n**2 + 115*n**2 - 37*n**2.\nAnswer: 2*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -6 divided by 3696203\nAnswer: -6\/3696203","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 99\/(-55)*20\/(-6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1127\/(-6762) + (13\/20)\/((-12)\/104).\nAnswer: -29\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -36*x + 19*x - 170. Which is smaller: x or 64?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*b**3 + 35*b**4 - 4*b**3 - 136*b + 133*b to j*b**3 + y*b + r + w*b**4 + d*b**2 and give y.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -6*x**3 - 64*x**2 - 40*x - 4. Give t(-10).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/(-7) + (-173)\/7. Let v = 13 + r. Is ((-476)\/16)\/(3\/v) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 319*o**2 - o + 38 wrt o?\nAnswer: 638","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 947.\nAnswer: 947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*r + 212 = -30*r. Let j = -124 - r. Round j to the nearest ten.\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.9 + 0.9. Which is the nearest to v? (a) 3 (b) -0.2 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 2 = -3*l - 1, 3*l = 3*r. Suppose 0 = 2*x - 2, -3*x + 75 = 6*f - l*f. What is the greatest common factor of f and 60?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41*g - 112*g = -3054 + 711 for g.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 17275, 84 in descending order.\nAnswer: 17275, 84, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from khgppmgmkgmkmggpn. Give prob of picking 1 h and 2 p.\nAnswer: 3\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1 + 41. Calculate the remainder when n is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (2 + -1)\/(0 + -1). Let j be (a\/(-2))\/((-5)\/(-120)). What is the highest common factor of j and 84?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -2*z**3 - 3*z**2 - 2*z + 1. Suppose -5*x + 5*o = -5, 5*o - 2*o = -9. What is the remainder when 15 is divided by k(x)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -19*k + 41. Determine y(4).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 154 minutes after 1:15 AM?\nAnswer: 3:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4932 divided by 1233.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 239.7647 milligrams to grams.\nAnswer: 0.2397647","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 182 = -2*s, 4*h - 49 - 97 = -2*s. Calculate the remainder when 1359 is divided by s.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 296286626 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*p + 78 + 66. Suppose -y - 3*y + p = 0. Is 5 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(245) - (sqrt(245) + -1 + 5 + sqrt(245)) - (sqrt(245) + 1)**2*2 - -1*(-3*sqrt(245) + 1)**2)*5.\nAnswer: -385*sqrt(5) + 8550","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (27 - 124 - 84)*(-3*p + 10*p + 8*p).\nAnswer: -2715*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 61343 is divided by 96.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (7 + 11 + 1)*(-s**3 + s - s) to the form q*s**2 + l*s**3 + o + y*s and give l.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0*i + i - 11*i)*(2 + 0 - 1) + (2*i + 0*i - 4*i)*(-7 + 2 + 1))*(2 - 1 - 2).\nAnswer: 2*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 y when two letters picked without replacement from ifjvyppiy?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 830*b**3 - 2512*b**3 + 831*b**3 + 849*b**3.\nAnswer: -2*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -19*v + 1. Give r(3).\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31066 = 3*s - 2*u, -18*s - 3*u = -20*s + 20719. List the prime factors of s.\nAnswer: 2, 647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fn when two letters picked without replacement from {n: 1, j: 1, f: 3, r: 2, a: 1, h: 3}?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 2*u**2 - 85*u + 727. What is g(12)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (868\/(-558))\/((-90)\/1620)\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6*(495\/(-30))\/(13\/(104\/(-18))).\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*l**3 + 65*l - 65*l + 2*l**2 - 1 in the form d*l**3 + u*l**2 + r + j*l and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) be the first derivative of -c**3\/3 - c**2\/2 - 3*c + 3. Let s be t(0). Let m be (1\/s)\/(2\/(-30)). Solve a - 2 = 0, m = -f - 0*f + a for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 1831*l + 870. Let y(o) = -1221*o - 581. Let s(u) = 5*c(u) + 7*y(u). What is the derivative of s(q) wrt q?\nAnswer: 608","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + 1*(1 + (sqrt(147) - (3 + sqrt(147)*1)) - (0 + (5 + 1*sqrt(147) - sqrt(147) - sqrt(147))))**2.\nAnswer: -98*sqrt(3) + 197","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -227*t**2 + 2*t + 256*t**2 - 2*t to x*t**2 + i + m*t and give x.\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 587452 and 34?\nAnswer: 587452","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m + m = -6. Let r(t) = -t**3 - 5*t**2 + 5*t - 6. Let z be r(m). Suppose z = -x + 2*x - 5. Solve x + 7 = -3*f for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*f**2 + 3 + f**2 + 2*f**3 + 0*f**2 + f to the form m*f**3 + p*f**2 + b*f + k and give k.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/(-14) + 198\/(-168)?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -9525\/14 - -64539\/154. Let v = -262 - r. Let h = -75\/88 - v. Which is the third biggest value? (a) h (b) 0.4 (c) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -151554420 - 212?\nAnswer: -151555032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -2603, -4951, -6851, -8105, -8515?\n\"Answer: 33*l**3 + 26*l**2 - 2657*l - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -180074*g - 180393. What is f(-1)?\nAnswer: -319","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0741 to 2 decimal places.\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (i + 4 - 4)*(-1 + 0 + 3) - 3*i - 4 + 5*i + 2 + (0*i + 7*i - i)*(-6 + 1 + 3).\nAnswer: -8*i - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1629432, 3258864, 4888296, 6517728?\nAnswer: 8147160","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 95\/2 and 1 - 2 - (21369\/(-1190) + 16).\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 979874261 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 6213561806?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 82 a factor of 2050?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 27 (b) 1\/6 (c) 5\/3 (d) -1\/6 (e) -0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 41 + -36. Suppose -k*j - 26 = -m, 4*m - m - 5*j = 78. Suppose 5*d = s - m, -3*d + 2 = -d. What is the greatest common divisor of 279 and s?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 5*i = 60, -2*i + 4*i + 24 = -2*q. Let d = 14 + q. Let r be 1 + 4 - 159\/30. Which is smaller: r or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 40817594?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 679 minutes after 2:56 AM?\nAnswer: 2:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand -t**2 - t**2 + 0*t**2 + t + (1 - 1 + t)*(1 + t - 1) + 6 + 3*t**2 - 6.\nAnswer: 2*t**2 + t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that 3*l**4 + 15177*l**3 + 795954*l**2 = 0.\nAnswer: -5006, -53, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -59 + 59. Let p(q) be the second derivative of 0 + 1\/2*q**3 + 0*q**2 - 1\/15*q**6 + v*q**4 - 3*q + 0*q**5. Find the second derivative of p(t) wrt t.\nAnswer: -24*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 20*k + 2. Let x(b) be the first derivative of 9*b**2\/2 + 2147. Give c(x(z)).\nAnswer: 180*z + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-3 + 1)*(1 - -7). Let l be w\/(-2) + (3 - 2). Suppose l*t - 270 = 189. Does 17 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4322.12 nanograms to tonnes.\nAnswer: 0.00000000000432212","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3.9779 + 0.0221. Which is the second biggest value? (a) 1 (b) -5 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 30216588 to the nearest integer?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:23 PM and 2:10 AM?\nAnswer: 167","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -r**3 - 22*r**2 + 21*r - 32. Let g be w(-23). Find the third derivative of 73*d**2 - 39*d**2 + 8*d**4 + g*d**4 wrt d.\nAnswer: 528*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 30 + 1500*48\/(-2448).\nAnswer: 10\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*l**2 + 568620*l - 345113175.\nAnswer: 3*(l - 605)*(l + 190145)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*m**5 - m - 4*m + m + (2*m - 2*m**4 - 2*m)*(-5*m + 2*m + 2*m).\nAnswer: 4*m**5 - 4*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 13911?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 16*y**3 + 7*y**2 - 14*y + 7. Let h(m) = -m**3 + m**2 - 2*m + 1. Determine -5*a(s) + 35*h(s).\nAnswer: -115*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 56421, 112857, 169305, 225771, 282261, 338781, 395337, 451935?\nAnswer: 508581","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -39917.029421 + 39917. What is j rounded to four dps?\nAnswer: -0.0294","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -0.8, -21, -0.14 in ascending order.\nAnswer: -21, -0.8, -0.14, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(35) + (sqrt(35) - (1*sqrt(385))\/sqrt(11)))\/(sqrt(847) + (sqrt(847) - (sqrt(847) - 2*sqrt(847) - sqrt(847)))))**2.\nAnswer: 5\/1936","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 15*b**5 - 15*b**3 + 98287*b**2*g**3 + 1340*b*g**3 + 6*b*g**2 + 16*g wrt b.\nAnswer: 300*b**3 - 90*b + 196574*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 33 divided by -3111889\nAnswer: -3\/282899","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 627 minutes before 9:13 PM?\nAnswer: 10:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*v - 2*v = -3*x + 4, 5*v = 4*x + 4 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3872749 to the nearest integer?\nAnswer: 1968","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -136916 and -76.\nAnswer: 10405616","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2 or 64\/29?\nAnswer: 64\/29","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 52 - -38. Let s = t + -29. What is the tens digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 595 - 605. Let z(r) = r**2 + 9*r - 4. Calculate z(q).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2428*s - 2400*s - 448 = 0 for s.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -41*o - 1. Let h(n) = -2*n**2 + 4*n - 1. Let j be h(-3). Let s = 52 + j. Calculate the remainder when q(-1) is divided by s.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 3\/32 of a day?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 9) to base 4.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14\/50*(-13675)\/440335.\nAnswer: -1\/115","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 57 = -3*u, -5*c - 305 = -320. Suppose 2*q = 6 + 14. Find the third derivative of 2*g**2 - q*g**2 - 5*g**2 - u*g**3 wrt g.\nAnswer: -120","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4713 is divided by 471.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -101 (base 4) to base 9\nAnswer: -18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 223 - 881 = 4*o, -4*q = 5*o - 1290. Suppose q - 195 = s. Is 13 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 1, r: 1, p: 2, j: 1, d: 2, k: 2}. What is prob of picking 1 p, 1 j, and 1 k?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2.8, 1\/3, 0.3, 34, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -61\/2 - -30. Let w = -121659\/5 + 24331. Let r = 10 - 19\/2. Which is the second biggest value? (a) w (b) r (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 15*f - 17*f - 8. Suppose 0 = -5*t + 88 - 18. Suppose 39 = 5*i + t. Sort 4, f, i in descending order.\nAnswer: i, 4, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/1*-2*14\/7.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2129*m**2 + 875*m**2 - 1334*m**2.\nAnswer: -2588*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 739 + -347. Suppose 88*h = 116*h - q. Calculate the remainder when 26 is divided by h.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = 2*j + m - 11, 0 = j + 5*m - 8. Suppose 67 = -5*w - 3*x, 4*w - j*x = -x - 58. Let c = -8 - w. What is the units digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 35 = 3*w, 2*w - 2*r = r - 5. Suppose 0 = -v - 5*u + 12 - 39, 0 = w*u + 25. Let m(k) = -9*k - 3. List the prime factors of m(v).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:50 AM and 5:42 PM?\nAnswer: 592","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.45150818 to zero decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((152\/60)\/(-19))\/((-1)\/(-3)).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 4 - 3453?\nAnswer: -3445","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7\/(-7)*-2)\/7.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-4 + 2 + 1)*(-1 + 0 + 2) + (3 - 3 - 1)*(0 + 0 + 1) - 8 + 3 + 3)*(814504 - 814504 + 321*h).\nAnswer: -1284*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -199.9999612 - -200. What is v rounded to six dps?\nAnswer: 0.000039","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = x - 6*x. Let a(t) = t + 5. Let k be a(-6). Let o = k + 3. Sort x, 3, o in descending order.\nAnswer: x, 3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 340826*u + 8. Let v(n) = -12*n**2. Determine f(v(q)).\nAnswer: -4089912*q**2 + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -c**3 - 11*c**2 - 7*c + 35. Let r be k(-10). What is the second derivative of -3*l + 2*l - 2*l + 27*l**2 - 6*l - 12 - 1 - r*l**3 wrt l?\nAnswer: -30*l + 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 114\/4*((-360)\/(-405) + (-4)\/18). Solve -13*r + 30 = -o*r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 265084936*b**3 + 509931072*b wrt b.\nAnswer: 1590509616*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 88*o + 190 + 162 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + 4 + 4 + (-1 - 4)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7484, 2, -3 in decreasing order.\nAnswer: 2, -3, -7484","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -405 (base 10) to base 8\nAnswer: -625","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 329?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5168 is divided by 4939.\nAnswer: 229","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*l**2 + 83*l**2 - 75*l**2 - 85*l**2 - 8*l**2.\nAnswer: -107*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*j**2\/3 - 812*j + 3480656\/3.\nAnswer: -2*(j - 844)*(j + 2062)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 343*v**2 - 52*v + 159. What are the prime factors of g(5)?\nAnswer: 2, 19, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 533893865?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n - 16*a + 51778 = -20*a, 4*n = -a + 41414. Suppose 0 = 3*g + 4*j - 18667 - n, 5*g + 2*j = 48345. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*d + 2*d. Suppose 4*n = -2*r - 4, r + d*r + 4*n = -2. Let w(l) = -l. Let h be w(-3). Sort 15, r, h in ascending order.\nAnswer: r, h, 15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -329, -648, -967, -1286?\nAnswer: -1605","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 88958 equal to 3422?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that 0 + 1\/3*f - 4\/3*f**3 - f**2 = 0.\nAnswer: -1, 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -456.91 and 60465.91.\nAnswer: 60009","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 9, o: 2}. What is prob of picking 4 g?\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 79041.9 rounded to the nearest 100?\nAnswer: 79000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0\/((-1)\/((10\/(-4))\/5)). Let k(v) = v. Let o(r) = 7*r. Let z(s) = 6*k(s) - o(s). What is z(f)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 10 - 75. What are the prime factors of ((-2850)\/i - 3) + (-4)\/(-26)?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -4*d. Let s(q) be the first derivative of -215*q**3\/3 - q**2\/2 - 186. Give w(s(l)).\nAnswer: 860*l**2 + 4*l","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -17*q - 164. Let x be l(0). Let n = x + 166. Solve 0 = -t + 2*t + n for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/150*-235 - (-4 - 1)?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-2)\/k**(-2))\/(k**0\/(k*k*k*k**(-2\/11)*k)) assuming k is positive.\nAnswer: k**(42\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27 = 3*b - 3*w - 15, -3*b - 3*w - 6 = 0 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1370 or 8.9?\nAnswer: 8.9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) be the first derivative of -173*j**2\/2 + 278*j + 134. Differentiate z(f) with respect to f.\nAnswer: -173","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3770005 = 406*i - 3744021 for i.\nAnswer: -64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 18791?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4.9 - -6. Let l = 0.1 - s. Let i be (-56)\/210 - 4\/(-10). What is the closest to l in 4, -0.3, i?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.2, 3, 1\/116, -0.05, -1.9?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 130\/1755 - 1\/(-351).\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2 - -1.8. What is the smallest value in -1\/4, v, 1\/3?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*g + 52 - 848. Suppose -4*z + 88 = -2*z + 4*t, -5*z - 3*t + g = 0. Let l(w) = -7*w - 1. What is the remainder when z is divided by l(-2)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (2 - (-6758)\/(-5)) + 8\/(-20). Let l be q\/(-21)*(-1904)\/(-2). Suppose l = -4*h - 2*h. What is h rounded to the nearest 1000?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3308274 a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 59 + -52. Let b(g) = 58*g - 3. Let y(d) = -39*d + 2. Let m(z) = u*y(z) + 5*b(z). What is the derivative of m(v) wrt v?\nAnswer: 17","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (330\/(-385))\/(2\/(-14)*(-34)\/(-119))\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -3*l**3 - 4*l**2 - 2*l. Let x = 3 - 1. Suppose 0 = 5*m + 2*j + 17, 0 = -5*m + x*j + 1 - 14. What are the prime factors of k(m)?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 4778077 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.0361 + -0.1639. What is the smallest value in -0.1, y, -105?\nAnswer: -105","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2055 + -2060. Sort f, -55, -1, 1 in decreasing order.\nAnswer: 1, -1, f, -55","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*d + 3*d - 8*d - d**2)*(-1 + 1 - 2*d).\nAnswer: 2*d**3 + 6*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 0.1412882 centimeters?\nAnswer: 1412.882","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.19, 2\/3, 0.5, -0.2?\nAnswer: -0.19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = u - 3*u - 3*u. Suppose -l + 5 = -6*l - 3*r, 3*r = u. Let b(h) = h**3 - h**2 - 3*h - 1. Let o be b(l). What is the nearest to o in 5\/2, -4, 0.03?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*w = 5*w + 576. Is 31 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/((11\/(-55))\/(3\/(-5)))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 47\/60 and -139\/54918240?\nAnswer: 54918240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 291991?\nAnswer: 7, 59, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) -2383 (b) -20 (c) -1\/25\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 101\/5928 and -89\/5460.\nAnswer: 207480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 6\/25 of a litre?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 285*o - 160*o + 400*o + 210*o - 62*o + 3 to the form v*o + d and give v.\nAnswer: 673","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.132, -0.5, -2\/11, 3166?\nAnswer: 3166","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.029487911 + 0.075.\nAnswer: 0.104487911","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000125553 to seven decimal places.\nAnswer: 0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1667816?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*f - 3 = 20*f + 4*b, -5*b = -15 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a litre in millilitres?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1238 + 736. Let u = r - -501.9. Let v = -4 + 7. Which is the second biggest value? (a) v (b) u (c) 2\/13 (d) -1\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h when two letters picked without replacement from {k: 2, x: 5, h: 11, t: 2}.\nAnswer: 11\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 36 - 58. Let k = 310\/37 + 1877\/222. Calculate the common denominator of k and ((276\/a)\/(-6))\/(-1).\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((i*i*i**(4\/7))\/i*i)\/(i\/(i*((i*i*((i**(1\/8)\/i*i*i)\/i)\/i*i)\/i)\/i)))**(-2))**(-18))**(1\/24) assuming i is positive.\nAnswer: i**(453\/112)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 104040600?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*g**3 - 33*g**2 + 504*g - 196.\nAnswer: -(g - 7)*(g + 14)*(5*g - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2922602893?\nAnswer: 7, 23, 2593259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hh when two letters picked without replacement from {h: 7, l: 4, w: 4}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1034872344 to the nearest integer?\nAnswer: 1011","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -z**3 - z**3 + z**3 - 7*z**4 - 3*z**2 + 0 + 2 to h*z + b*z**4 + w*z**2 + u*z**3 + a and give w.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -4*r**2. Let o = 2 - -18. Let u(g) = -2*g - 20 + o. Determine u(h(w)).\nAnswer: 8*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -39339, -39328, -39327, -39342, -39379, -39444, -39543, -39682?\n\"Answer: -d**3 + d**2 + 15*d - 39354","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.82685 to 2 dps.\nAnswer: -0.83","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 2115 divided by -3\nAnswer: -705","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -z**2 + 209*z - 6806. Determine m(163).\nAnswer: 692","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*36355.43.\nAnswer: 72710.86","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (24 - 0)\/((-2)\/((-20)\/15)). Suppose 11*m - h*m = 700. Let x be ((-33)\/(-66))\/((-2)\/m - 0). Solve 0*v - 5*t + x = -5*v, 0 = 4*v + 5*t + 10 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 2462277 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.007383950688 to five decimal places.\nAnswer: -0.00738","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-10)\/(-4))\/((-4)\/(-8)). Suppose 3*f = 4*f - 34. Suppose f = 2*o - r*x + 98, 0 = 2*o - 4*x + 62. Round o to the nearest 10.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 586 minutes before 2:04 AM?\nAnswer: 4:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cmn when three letters picked without replacement from naacgnacnnacnnnnm?\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Add -187 and -35.08.\nAnswer: -222.08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + j + 1)*(0*j**3 - 3*j**3 + 4*j**3) + (5*j**2 - 6*j**2 + 0*j**2)*(-3*j**2 + 4*j**2 - 2*j**2) + j**4 + 0*j**2 + 0*j**2.\nAnswer: 3*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 11053 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24*g - 16*g - g**2 - 6*g - 6*g + 4*g**2.\nAnswer: 3*g**2 - 4*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -221 + 407*y + 474 - 408*y + 536.\nAnswer: -y + 789","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 631 - 611. What is the remainder when 102 is divided by 284\/x + 6\/(-5)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4*2.07124\nAnswer: -8.28496","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 26.54500111359 - 0.74.\nAnswer: 25.80500111359","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -11232 - -11235. Which is the third smallest value? (a) 26.1 (b) -0.1 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 15 + -7 + -7 - 7 - (2 - -8)\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ll when two letters picked without replacement from {d: 6, l: 10, n: 2}?\nAnswer: 5\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 15402184 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - 6) + (-65 + -2 - -84).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ttht. Give prob of picking 3 t.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2398 + 2600 = -2*w + 53*w. Let h = 88 + -54. Calculate the remainder when w is divided by h.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -41275314*u + 41275314*u + 15*u**2.\nAnswer: 15*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2113.94574 - -31.08674. Let j = y - -2084. Let i = j - -0.039. Round i to 1 dp.\nAnswer: 1.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 40545?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) be the second derivative of b**3\/6 - 4*b**2 + 5*b. Determine c(7).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 54557*j**2. Let r(o) = 249*o. Calculate k(r(b)).\nAnswer: 3382588557*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -10*p**2. Let i(f) = -22*f**2 - 88*f. Calculate i(l(k)).\nAnswer: -2200*k**4 + 880*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 166217119 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 4620?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -1876, 4 in ascending order.\nAnswer: -1876, 4, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/(s*s\/(s**(-22)*s)))**(-1))**(4\/17) assuming s is positive.\nAnswer: s**(88\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 120 = -18*u. Suppose 7*n = 8*n + 3*p + 9, -u = 2*p. Solve -n = -3*c + 12 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 7? (a) -3\/4 (b) 2 (c) -49\/10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 10836382 and 328.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 8978117 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that -12*u**2 - 2318*u - 386 = 0.\nAnswer: -193, -1\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/6*(10\/(-55) + 0)\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 20 (base 5) to base 15\nAnswer: a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 - -783?\nAnswer: 791","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -85*c**2 + 7407*c - 1045. What is z(87)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-490)\/(-35) + (-27)\/3 - (-26)\/(-6).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 3*f**2 + 133*f + 40. Let k be i(-43). What is the smallest value in 0.5, -0.5, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*b + 4*r - 24, 4*b + 0*b = 3*r + 48. Suppose -b*m = -1013 - 283. What are the prime factors of m?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 25\/4 of a micrometer?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -12*j**2 - 2*j - 2. Calculate g(-1).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 329 = 4*k - 865, 0 = 5*k - 20. Let z be 1\/(-3) + m\/15. Let a = 16 + z. Solve 5*x + 37 = -5*s + a, 0 = -x - 5 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x - s = 4, 5*x - x - 4*s = 3364 - 3356 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1287 is divided by 76.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -20619*g - 31502 with respect to g.\nAnswer: -20619","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2\/69 + 79\/345. Which is bigger: y or 0?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -19*i**4 + 2102829*i**3 + 207522584*i**2 wrt i?\nAnswer: -456*i + 12616974","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(-6)*3\/28*7\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, a: 1, p: 5, e: 1, g: 3}. Give prob of picking 1 g and 1 a.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = z**3 - 10*z**2 + 15*z + 3. Let y be p(8). Sort y, 4, -16 in increasing order.\nAnswer: -16, y, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*o + 7 - 5. Let i be (9\/(-63))\/(o\/(-2)). What is the smallest value in 1\/6, i, -5\/3?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2*(-9)\/(-450))\/((-6)\/15)?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 130 + 38*p**2 - 199 + 83 + (11*p - 11*p + 8*p**2)*(4 - 5 + 3) as g*p**2 + s*p + f and give g.\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gbe when three letters picked without replacement from eejgjhhbbgbeejgg?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -133*y**2 - 354*y + 2287. What is d(3)?\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 21 = -f, -3*d + 3*f + 2*f - 21 = 0. Which is the closest to 0? (a) -0.1 (b) d (c) 2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -192152548 by -2528323.\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 491f (base 16) to base 14.\nAnswer: 6b71","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Is 1473 a factor of 14646039?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -53\/361075 and -89\/28600.\nAnswer: 2888600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5491858?\nAnswer: 2, 2745929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(-31)\/t**(2\/17) assuming t is positive.\nAnswer: t**(-529\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5146100*v + 11*v**2 - 2 + 2573046*v + 2573054*v.\nAnswer: 11*v**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/(-6) + (-28)\/42. Which is bigger: -5\/3 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -1*2\/4 - (384 + -385). What is the nearest to m in 4, 5, -29?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -48 + 16 - 31 - (-17 - 0)?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -79*a + 4 = 4*l - 77*a, -2*l + 14 = -2*a for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*m + 4*m - 24*m + m.\nAnswer: -11*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7888)\/(-1276)*(-7)\/28*-22.\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.026 + 25.026. Let h = -26.1 + v. Let q = 0.1 + h. Is q at most as big as 8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -178 + 273. Suppose j + n = -0*j + 40, 5*n - 86 = -2*j. Calculate the greatest common divisor of j and a.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -2 - 6*x + 31*x**3 - 3 + 440*x**2 - 442*x**2. Let c(t) = -10*t**3 + t**2 + 2*t + 2. Let p(n) = 8*c(n) + 3*j(n). What is p(1)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.38 - 1.62. Which is the third biggest value? (a) 1 (b) -2\/21 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (33 - 20 + 37)*(0*w + 0*w**4 - 2*w**4 - 2*w) to y*w**4 + j*w**2 + r*w + i + v*w**3 and give y.\nAnswer: -100","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) be the second derivative of -5*k**3\/2 - 9*k**2 - 34*k. What is the smallest common multiple of a(-7) and 4?\nAnswer: 348","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7266, -5829, -3420, -39, 4314?\nAnswer: 9639","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/7, -0.8, 5, 4, -3?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6348 + 12380 - 6269 - 4*d**4 - d**2 - 3*d to n*d**4 + m*d + c*d**2 + a + g*d**3 and give a.\nAnswer: -237","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 63572 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the third derivative of -1\/12*i**5 + 1\/120*i**6 - 1\/4*i**4 + i**2 + 5\/6*i**3 + 0 + 0*i. List the prime factors of g(6).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -25252 less than 4686369?\nAnswer: 4711621","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve d - 13 = -5*k - 3*d, 0 = -k - 4*d + 9 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 - (1 + 2 + 7 + -5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) be the first derivative of 0*u**2 + 0*u - 2\/3*u**3 - 1. Let p(j) = -9*j. Let r(w) = 2*w. Let o(a) = 5*p(a) + 21*r(a). Determine o(y(c)).\nAnswer: 6*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*c*d*o*u - 97*c*d*o + 12*d*o*u - 3*o with respect to c.\nAnswer: 2*d*o*u - 97*d*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.2, 0, -560, -4, 6029\/5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) be the second derivative of 7*t**4\/4 - 2*t. Let z(u) be the second derivative of -u**3\/6 + 9*u - 13. Calculate z(j(m)).\nAnswer: -21*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -25 (base 14) to base 10.\nAnswer: -33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2\/19*k**2 + 44\/19*k + 242\/19 = 0. What is k?\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/9 at least as big as 796192?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4262, -4253, -4232, -4193, -4130, -4037, -3908, -3737?\nAnswer: -3518","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -117 = -4*z - 41. Let y = z - 21. Let t(c) = -25*c - 1. What are the prime factors of t(y)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 d when two letters picked without replacement from wpssmpwwjpppsd?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*b - 3*b + 13*b + 11*b.\nAnswer: 19*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 333223 (base 4) to base 12\nAnswer: 2437","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -4*x - 17. Let z be p(-5). Suppose 0 = u + 5, 220 = -3*f + z*u - 8*u. Calculate the least common multiple of ((-332)\/(-10) - 0) + 13\/f and 18.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 144504, 144533, 144540, 144525, 144488, 144429?\n\"Answer: -11*r**2 + 62*r + 144453","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 4\/3 (b) -1 (c) 0.5 (d) 17 (e) -72\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 23 (b) -0.5 (c) 19 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0230111018 rounded to 4 dps?\nAnswer: -0.023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30634 divided by 1802.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -58265 bigger than -58260?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4277 is divided by 267?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 + -2 - ((-37 - (-49 - 13)) + 31).\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000222166836 to 7 decimal places.\nAnswer: -0.0000222","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2 + 8. Let r be 0 + -2 + -2 + (4 - -2). Let s(p) = p**3 + 0*p**3 + 4*p**3 + 7*p**r - 5*p - 6*p**3 - 8. Calculate s(k).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1826*g**2 + 912*g**2 + 913*g**2.\nAnswer: -g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) be the third derivative of -l**5\/60 + 7*l**4\/24 - l**3\/2 + l**2. Suppose 63 - 3 = -6*u. Let r = -4 - u. Determine m(r).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**6*x**21 assuming x is positive.\nAnswer: x**27","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 35 + 4 - 481464\/12312?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = 2*b - 4, -g - 3 + 17 = -3*b. Suppose 2*y = 7*y - 10. Suppose n + g*z = 10, 21 = y*n - 3*z - 12. Solve -m + 4*m = n for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 18\/(-5) - (-2)\/(-5). List the prime factors of (2\/4)\/(j\/(-168)).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(-4 + (-4 + 4 + sqrt(17) + sqrt(17) + 1 + 2*sqrt(17) + 4)*-6) + -2)**2 + 2.\nAnswer: 59328*sqrt(17) + 394950","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - (-8 - -11 - (6 - 1))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 3, h: 4}. What is prob of picking 3 l?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -105 = -31*b + 50. Suppose 3*r - 7 = -q - 6, b = -4*r + 5*q. Factor -3\/4*f**2 + 33\/8*f**3 + 0 + 21\/8*f**5 - 6*f**4 + r*f.\nAnswer: 3*f**2*(f - 1)**2*(7*f - 2)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - (-2 + 0)) + 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) be the second derivative of h**4\/12 + 2*h**3\/3 - h**2 - 347*h. Give s(-5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 166 divide 57045?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -134*o - 13*o + 40*o + 1605 for o.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = x**2 - 17*x - 54. Let l be k(26). Suppose l = 12*g + 144. Let f be (-1 - -2 - 1)\/(-1). Solve f*b + g = b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -43\/5? (a) -0.3 (b) 6 (c) -3\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000648796 rounded to six dps?\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -8*z - 11. Suppose -25*o - 205 = 16*o. Give t(o).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5515208 divided by -1819\nAnswer: 3032","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 704, 690, 676, 662, 648?\nAnswer: 634","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -26? (a) 1 (b) -0.6 (c) 0.7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2 + 1.8. Let n(d) = d + 2. Let f be n(-3). Which is the closest to f? (a) u (b) -4 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 428 - 427.9999819. Round c to 5 dps.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 230 + 1126?\nAnswer: 1356","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: ((5*(-3)\/(-15))\/(-3))\/(1\/27)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5245 and 40.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 138 - (-100 + 6 + 178)?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, -40, 6, 5, 2752, -1, -5.\nAnswer: -40, -5, -1, 5, 6, 7, 2752","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/16 of a gram in micrograms?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 62\/3 of a hour in seconds?\nAnswer: 74400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 163247 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 12421 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1401 + 2?\nAnswer: 1403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 51.6357 - 1.2457. Let t = k - 48.4. Let p = 0.01 + t. Which is the closest to p? (a) 0.5 (b) 1\/3 (c) -2\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 152?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -22436, -22433, -22428, -22421?\nAnswer: -22412","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -t + 81. What is the least common multiple of g(76) and 103?\nAnswer: 515","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 20, 0, 36, 5 in decreasing order.\nAnswer: 36, 20, 5, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 37, 15, -7?\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(-1)*z**(2\/3)\/z*z**(-4)*z\/(z\/z**0)*(z**(-3\/5)\/z*z*z**(2\/11))**38 assuming z is positive.\nAnswer: z**(-3502\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 106719.42 seconds?\nAnswer: 1778.657","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2 + (-6)\/(-4))*-10. Let a(r) = -r + 11. What is the remainder when (-2)\/2 - (-7 - 5) is divided by a(c)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.4 (b) -0.33 (c) 59 (d) 3.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 1576178905?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -7381*k**2 + 5789*k + 2. Let t(m) = -m**2. Calculate n(t(v)).\nAnswer: -7381*v**4 - 5789*v**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((sqrt(475)*-1)**2 - (6*(sqrt(19) - (sqrt(19) + 1*sqrt(19))))**2 - sqrt(57)\/(6*sqrt(12)\/sqrt(4)))*-4.\nAnswer: -836 - 2*sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(2\/5)*g**(-1\/12))\/(g*g*g\/g**1)**(-25\/3) assuming g is positive.\nAnswer: g**(1019\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (z - 1 + 2 - 2)*(13 + 16*z - 13).\nAnswer: 16*z**2 - 16*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.3, 0.32468, -4.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.8 - -0.4. Let p(u) = 2*u - 2. Let d be p(7). Suppose 3*q - d = -18. Sort -22, q, z in decreasing order.\nAnswer: z, q, -22","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 24 and 336.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 149*n - 98. What is the lowest common multiple of t(4) and 60?\nAnswer: 4980","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1145 (base 8) to base 10.\nAnswer: -613","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*k = -t + 20*k + 20, 7*t + 15 = -3*k for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -13 - -8. Which is the biggest value? (a) 0.4 (b) i (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -255510 (base 7) in base 13?\nAnswer: -18876","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 30 divided by -11\nAnswer: -30\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -95827*d + 95911*d = -1512 for d.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 636*z = 318*z + 327*z - 144. Solve 3*i + w + z - 11 = 0, -4*i - 2*w - 10 = 0 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 38 + (18 - (-20 - -31) - -38)?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 36229 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 2188 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.4288*0.2037.\nAnswer: 0.29104656","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2 - 0.88. Let l = 0.32 - r. Let i = -0.7 - l. Sort 4\/7, 4, 0.3, i in ascending order.\nAnswer: i, 0.3, 4\/7, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1030, 998, 968, 940?\nAnswer: 914","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u + 13*w + 3 = -6*u, -7*u = -3*u - 5*w + 4 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -163438 less than or equal to -163445?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out 16.9 * 0.4.\nAnswer: 6.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22295739 is divided by 874.\nAnswer: 873","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide 26 by -236.\nAnswer: -13\/118","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -11, -24, -41, -62, -87, -116?\n\"Answer: -2*n**2 - 7*n - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4620079 and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) be the third derivative of f**8\/5040 - f**5\/30 + f**2. Let u(r) be the third derivative of m(r). Let g(p) = p. Calculate u(g(x)).\nAnswer: 4*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) be the second derivative of 7*d**6\/6 - 19*d**5\/20 + 11*d**4\/12 + 193*d**2\/2 + 3*d - 76. Find the third derivative of q(l) wrt l.\nAnswer: 840*l - 114","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 192900?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 13\/16 and 9\/86?\nAnswer: 688","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6868772\/7 - 981230. Find f, given that 24\/7 - 180\/7*f - m*f**4 + 141\/7*f**3 + 39\/7*f**5 + 138\/7*f**2 = 0.\nAnswer: -1, 2\/13, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*q**3 + 5*q**3 - 4*q**3 + 9 + 9.\nAnswer: 5*q**3 + 18","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (1*sqrt(168))\/((sqrt(6)*2 - sqrt(6))*4 + sqrt(6)))**2.\nAnswer: 16*sqrt(7)\/5 + 428\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(5324) - -2*sqrt(5324)*-2 - (sqrt(5324) + sqrt(5324)*2*-1) - ((sqrt(5324) - -2*sqrt(5324))*-3 + -4*(sqrt(5324) + -1)))**2.\nAnswer: -1936*sqrt(11) + 644215","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(4 + ((sqrt(306)*2 + sqrt(306))\/sqrt(9)*4)\/(3*sqrt(8)*3) + -4))**2.\nAnswer: 1700\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = p - 16. Let f(a) = -77*a + 25. Determine f(l) + 2*s(l).\nAnswer: -75*l - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 91 - 79. Suppose 2*i = f + 3*f - 8, f = 4*i - o. Let k = 0.6 - 0.3. What is the nearest to k in 2, i, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 34475 to the nearest integer?\nAnswer: 186","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -94 - -125. Put 2\/7, b, 0.5 in increasing order.\nAnswer: 2\/7, 0.5, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = -2*y + 10, -y - 19 = 2*v - 7*v. Which is the closest to -3? (a) -1 (b) -1\/6 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 74924?\nAnswer: 2, 18731","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4\/5*150\/20. Suppose 0 = -z*i + 8*i - 3*m - 92, -2*i = -4*m - 96. Find the second derivative of 13*s**4 + i*s - 64*s - 20*s wrt s.\nAnswer: 156*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*l + 4*l - 4*l)*(0*l + 8*l + l)*(8 - 15 - 9)*(-1 + 0 - 1) as w*l**2 + n + d*l and give w.\nAnswer: 576","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*f**3 - 22*f**3 + 14*f**3.\nAnswer: -f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 7) to base 8.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-8)\/16*(-1 + 1). Suppose -x = -z*x. Suppose 4*p = 3*k - x*p + 2, 0 = 4*k + 4*p - 16. Which is smaller: 3 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 232358563 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5250?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 10360?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 100010112122 + 102101?\nAnswer: 100010222000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -1399, 22, 4, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -3 - (-1 - (-8)\/(-5)). Is -1 less than or equal to l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1197 - 555 - 642 + 9005*r**2)*(-r**2 - 3*r**2 + 5*r**2) to l*r + o + n*r**4 + m*r**2 + v*r**3 and give n.\nAnswer: 9005","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 11 - 6. Let j be (-3)\/z*(-45)\/(-18). Which is the smallest value? (a) j (b) 0 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23 is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -417 to the nearest one hundred.\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 16\/56 - 24\/(-14). Suppose s*y = 4*y - 18. Let b = y + -7. What is the lowest common multiple of 7 and b?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rkrrckrycrhhkrhohrko. What is prob of sequence kk?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-2)\/(-3))\/((-2)\/(-15)). Suppose 0 = -u*r + 539 - 69. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 3\/10, -80, 2\/5?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -z. Let x(y) = y - 468. What is j(x(n))?\nAnswer: -n + 468","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = w**3 - 17*w - 4. Let f(q) = q**3 - 26*q - 6. Calculate 5*f(x) - 8*s(x).\nAnswer: -3*x**3 + 6*x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1, -1.4, 2, -0.5?\nAnswer: -1.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1345559.29 rounded to the nearest one hundred?\nAnswer: -1345600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: ((-21)\/6)\/((3\/(-40))\/((-1134)\/1260))\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 4*t. Let q = -121 + 125. Let x(h) = 5*h + 1. What is q*u(r) - 3*x(r)?\nAnswer: r - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 107761040?\nAnswer: 2, 5, 1347013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 24720 and 3120.\nAnswer: 321360","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Expand p**2 + p**2 - 3*p**2 + (0*p - p - p)*(-6 - p + 6) + (1 + 2*p - 1)*(3*p + 2*p - 7*p) + 5*p**2 + 2*p**2 - p**2.\nAnswer: 3*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-1\/4)\/l)**(-23)*(l**(2\/7)\/l)\/l**(1\/17) assuming l is positive.\nAnswer: l**(13317\/476)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -26250, -26246, -26240, -26232, -26222?\nAnswer: -26210","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a - 277*f + 20 = -278*f, -a + 2*f = -20 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = 15 - 20. Which is greater: j or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.9 (b) -4 (c) 29 (d) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1445396692.\nAnswer: 2, 361349173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 l when two letters picked without replacement from {z: 4, l: 3, q: 1, y: 1, d: 3, s: 6}.\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 239430799 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 14.2591 - 4.2591. Put -461, r, -2 in decreasing order.\nAnswer: r, -2, -461","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -37\/31244464 and -85\/44?\nAnswer: 343689104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3 - -89?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide -86080 by -17216.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 9796*m**3*q*s**2 - 1079*m**3*q*s + 48*m**2*q*s**2 - 985*m**2*q - 3*m**2*s**2 wrt m?\nAnswer: 58776*q*s**2 - 6474*q*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -373\/91 + 57\/13. Let o = 1 - 0. Let l = 7 - 10. Which is the nearest to o? (a) w (b) l (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*s + 3005 = -11131. What is the units digit of s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vvvcvmvvvvcmmcmcvvm. What is prob of picking 1 v, 1 m, and 1 c?\nAnswer: 200\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7\/(-18)*261\/1827?\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p, 1 m, and 1 f when three letters picked without replacement from ffifpppffm.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 23*o**2 + 283*o - 839. Is 2 a factor of c(3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-104)\/130)\/((-8)\/3180) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-16)\/(-12))\/2*2877. Suppose 0 = -2*h, 0 = -2*f + 4*f - 3*h - m. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/((-4)\/(-10)))\/(65\/(-130))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 + 41 = 2*j. Let n be (6\/21 - 0) + 1162\/49. Suppose 4*y = u + j, -3*y + 2 + n = 5*u. Is 6 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = r + 7. Let h be v(-10). What is the closest to 0 in 2\/9, h, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.678164 minutes in microseconds?\nAnswer: 280689840","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 18\/(-30)*1*-5 - 9.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 14 = 2*x, -3*x = 5*y + 15 - 44. Solve 0*q - 4*q + 7 = -3*b, -x*b + 5*q = 8 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 2*k + 1151. Is n(0) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18487938.\nAnswer: 2, 3, 7, 37, 11897","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2135 divided by 6.\nAnswer: 2135\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, -17, -398, 380\/7, 0.2 in decreasing order.\nAnswer: 380\/7, 0.2, -0.2, -17, -398","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is a031 (base 14) in base 10?\nAnswer: 27483","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}